---
_id: '29488'
author:
- first_name: O.
  full_name: Junge, O.
  last_name: Junge
- first_name: J.E.
  full_name: Marsden, J.E.
  last_name: Marsden
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  ama: 'Junge O, Marsden JE, Ober-Blöbaum S. Optimal reconfiguration of formation
    flying spacecraft - a decentralized approach. In: <i>45th IEEE Conference on Decision
    and Control</i>. ; 2006:5210-5215.'
  apa: Junge, O., Marsden, J. E., &#38; Ober-Blöbaum, S. (2006). Optimal reconfiguration
    of formation flying spacecraft - a decentralized approach. <i>45th IEEE Conference
    on Decision and Control</i>, 5210–5215.
  bibtex: '@inproceedings{Junge_Marsden_Ober-Blöbaum_2006, title={Optimal reconfiguration
    of formation flying spacecraft - a decentralized approach}, booktitle={45th IEEE
    Conference on Decision and Control}, author={Junge, O. and Marsden, J.E. and Ober-Blöbaum,
    Sina}, year={2006}, pages={5210–5215} }'
  chicago: Junge, O., J.E. Marsden, and Sina Ober-Blöbaum. “Optimal Reconfiguration
    of Formation Flying Spacecraft - a Decentralized Approach.” In <i>45th IEEE Conference
    on Decision and Control</i>, 5210–15, 2006.
  ieee: O. Junge, J. E. Marsden, and S. Ober-Blöbaum, “Optimal reconfiguration of
    formation flying spacecraft - a decentralized approach,” in <i>45th IEEE Conference
    on Decision and Control</i>, San Diego, CA, USA, 2006, pp. 5210–5215.
  mla: Junge, O., et al. “Optimal Reconfiguration of Formation Flying Spacecraft -
    a Decentralized Approach.” <i>45th IEEE Conference on Decision and Control</i>,
    2006, pp. 5210–15.
  short: 'O. Junge, J.E. Marsden, S. Ober-Blöbaum, in: 45th IEEE Conference on Decision
    and Control, 2006, pp. 5210–5215.'
conference:
  end_date: 2006-12-15
  location: San Diego, CA, USA
  start_date: 2006-12-13
date_created: 2022-01-20T08:54:37Z
date_updated: 2022-01-24T07:43:50Z
department:
- _id: '636'
language:
- iso: eng
page: 5210-5215
publication: 45th IEEE Conference on Decision and Control
status: public
title: Optimal reconfiguration of formation flying spacecraft - a decentralized approach
type: conference
user_id: '15694'
year: '2006'
...
---
_id: '34895'
abstract:
- lang: eng
  text: 'We obtain strong information on the asymptotic behaviour of the counting
    function for nilpotent Galois extensions with bounded discriminant of arbitrary
    number fields. This extends previous investigations for the case of abelian groups.
    In particular, the result confirms a conjecture by the second author on this function
    for arbitrary groups in the nilpotent case. We further prove compatibility of
    the conjecture with taking wreath products with the cyclic group of order 2 and
    give examples in degree up to 8. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: G.
  full_name: Malle, G.
  last_name: Malle
citation:
  ama: Klüners J, Malle G. Counting nilpotent Galois extensions. <i>Journal für die
    reine und angewandte Mathematik (Crelles Journal)</i>. 2006;2004(572):1-26. doi:<a
    href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>
  apa: Klüners, J., &#38; Malle, G. (2006). Counting nilpotent Galois extensions.
    <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, <i>2004</i>(572),
    1–26. <a href="https://doi.org/10.1515/crll.2004.050">https://doi.org/10.1515/crll.2004.050</a>
  bibtex: '@article{Klüners_Malle_2006, title={Counting nilpotent Galois extensions},
    volume={2004}, DOI={<a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>},
    number={572}, journal={Journal für die reine und angewandte Mathematik (Crelles
    Journal)}, publisher={Walter de Gruyter GmbH}, author={Klüners, Jürgen and Malle,
    G.}, year={2006}, pages={1–26} }'
  chicago: 'Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.”
    <i>Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i> 2004,
    no. 572 (2006): 1–26. <a href="https://doi.org/10.1515/crll.2004.050">https://doi.org/10.1515/crll.2004.050</a>.'
  ieee: 'J. Klüners and G. Malle, “Counting nilpotent Galois extensions,” <i>Journal
    für die reine und angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no.
    572, pp. 1–26, 2006, doi: <a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>.'
  mla: Klüners, Jürgen, and G. Malle. “Counting Nilpotent Galois Extensions.” <i>Journal
    Für Die Reine Und Angewandte Mathematik (Crelles Journal)</i>, vol. 2004, no.
    572, Walter de Gruyter GmbH, 2006, pp. 1–26, doi:<a href="https://doi.org/10.1515/crll.2004.050">10.1515/crll.2004.050</a>.
  short: J. Klüners, G. Malle, Journal Für Die Reine Und Angewandte Mathematik (Crelles
    Journal) 2004 (2006) 1–26.
date_created: 2022-12-23T09:50:49Z
date_updated: 2023-03-06T09:11:16Z
department:
- _id: '102'
doi: 10.1515/crll.2004.050
external_id:
  arxiv:
  - math/0112318
intvolume: '      2004'
issue: '572'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 1-26
publication: Journal für die reine und angewandte Mathematik (Crelles Journal)
publication_identifier:
  issn:
  - 0075-4102
  - 1435-5345
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Counting nilpotent Galois extensions
type: journal_article
user_id: '93826'
volume: 2004
year: '2006'
...
---
_id: '34891'
abstract:
- lang: eng
  text: 'We study the asymptotics conjecture of Malle for dihedral groups Dℓ of order
    2ℓ, where ℓ is an odd prime. We prove the expected lower bound for those groups.
    For the upper bounds we show that there is a connection to class groups of quadratic
    number fields. The asymptotic behavior of those class groups is predicted by the
    Cohen--Lenstra heuristics. Under the assumption of this heuristic we are able
    to prove the expected upper bounds. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. Asymptotics of number fields and the Cohen–Lenstra heuristics. <i>Journal
    de Théorie des Nombres de Bordeaux</i>. 2006;18(3):607-615. doi:<a href="https://doi.org/10.5802/jtnb.561">10.5802/jtnb.561</a>
  apa: Klüners, J. (2006). Asymptotics of number fields and the Cohen–Lenstra heuristics.
    <i>Journal de Théorie Des Nombres de Bordeaux</i>, <i>18</i>(3), 607–615. <a href="https://doi.org/10.5802/jtnb.561">https://doi.org/10.5802/jtnb.561</a>
  bibtex: '@article{Klüners_2006, title={Asymptotics of number fields and the Cohen–Lenstra
    heuristics}, volume={18}, DOI={<a href="https://doi.org/10.5802/jtnb.561">10.5802/jtnb.561</a>},
    number={3}, journal={Journal de Théorie des Nombres de Bordeaux}, publisher={Cellule
    MathDoc/CEDRAM}, author={Klüners, Jürgen}, year={2006}, pages={607–615} }'
  chicago: 'Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.”
    <i>Journal de Théorie Des Nombres de Bordeaux</i> 18, no. 3 (2006): 607–15. <a
    href="https://doi.org/10.5802/jtnb.561">https://doi.org/10.5802/jtnb.561</a>.'
  ieee: 'J. Klüners, “Asymptotics of number fields and the Cohen–Lenstra heuristics,”
    <i>Journal de Théorie des Nombres de Bordeaux</i>, vol. 18, no. 3, pp. 607–615,
    2006, doi: <a href="https://doi.org/10.5802/jtnb.561">10.5802/jtnb.561</a>.'
  mla: Klüners, Jürgen. “Asymptotics of Number Fields and the Cohen–Lenstra Heuristics.”
    <i>Journal de Théorie Des Nombres de Bordeaux</i>, vol. 18, no. 3, Cellule MathDoc/CEDRAM,
    2006, pp. 607–15, doi:<a href="https://doi.org/10.5802/jtnb.561">10.5802/jtnb.561</a>.
  short: J. Klüners, Journal de Théorie Des Nombres de Bordeaux 18 (2006) 607–615.
date_created: 2022-12-23T09:37:01Z
date_updated: 2023-03-06T09:12:04Z
department:
- _id: '102'
doi: 10.5802/jtnb.561
external_id:
  arxiv:
  - 'math/0512260 '
intvolume: '        18'
issue: '3'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 607-615
publication: Journal de Théorie des Nombres de Bordeaux
publication_identifier:
  issn:
  - 1246-7405
publication_status: published
publisher: Cellule MathDoc/CEDRAM
status: public
title: Asymptotics of number fields and the Cohen–Lenstra heuristics
type: journal_article
user_id: '93826'
volume: 18
year: '2006'
...
---
_id: '34890'
abstract:
- lang: eng
  text: 'We prove that the 4-rank of class groups of quadratic number fields behaves
    as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics. '
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Fouvry É, Klüners J. On the 4-rank of class groups of quadratic number fields.
    <i>Inventiones mathematicae</i>. 2006;167(3):455-513. doi:<a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>
  apa: Fouvry, É., &#38; Klüners, J. (2006). On the 4-rank of class groups of quadratic
    number fields. <i>Inventiones Mathematicae</i>, <i>167</i>(3), 455–513. <a href="https://doi.org/10.1007/s00222-006-0021-2">https://doi.org/10.1007/s00222-006-0021-2</a>
  bibtex: '@article{Fouvry_Klüners_2006, title={On the 4-rank of class groups of quadratic
    number fields}, volume={167}, DOI={<a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>},
    number={3}, journal={Inventiones mathematicae}, publisher={Springer Science and
    Business Media LLC}, author={Fouvry, Étienne and Klüners, Jürgen}, year={2006},
    pages={455–513} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of
    Quadratic Number Fields.” <i>Inventiones Mathematicae</i> 167, no. 3 (2006): 455–513.
    <a href="https://doi.org/10.1007/s00222-006-0021-2">https://doi.org/10.1007/s00222-006-0021-2</a>.'
  ieee: 'É. Fouvry and J. Klüners, “On the 4-rank of class groups of quadratic number
    fields,” <i>Inventiones mathematicae</i>, vol. 167, no. 3, pp. 455–513, 2006,
    doi: <a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “On the 4-Rank of Class Groups of Quadratic
    Number Fields.” <i>Inventiones Mathematicae</i>, vol. 167, no. 3, Springer Science
    and Business Media LLC, 2006, pp. 455–513, doi:<a href="https://doi.org/10.1007/s00222-006-0021-2">10.1007/s00222-006-0021-2</a>.
  short: É. Fouvry, J. Klüners, Inventiones Mathematicae 167 (2006) 455–513.
date_created: 2022-12-23T09:36:15Z
date_updated: 2023-03-06T09:12:30Z
department:
- _id: '102'
doi: 10.1007/s00222-006-0021-2
intvolume: '       167'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 455-513
publication: Inventiones mathematicae
publication_identifier:
  issn:
  - 0020-9910
  - 1432-1297
publication_status: published
publisher: Springer Science and Business Media LLC
related_material:
  link:
  - relation: confirmation
    url: https://math.uni-paderborn.de/fileadmin/mathematik/AG-Computeralgebra/Publications-klueners/ranks.pdf
status: public
title: On the 4-rank of class groups of quadratic number fields
type: journal_article
user_id: '93826'
volume: 167
year: '2006'
...
---
_id: '35958'
abstract:
- lang: eng
  text: We establish a link between some heuristic asymptotic formulas (due to Cohen
    and Lenstra) concerning the moments of the p–part of the class groups of quadratic
    fields and formulas giving the frequency of the values of the p–rank of these
    class groups.
author:
- first_name: Étienne
  full_name: Fouvry, Étienne
  last_name: Fouvry
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: 'Fouvry É, Klüners J. Cohen–Lenstra Heuristics of Quadratic Number Fields.
    In: <i>Lecture Notes in Computer Science</i>. Springer Berlin Heidelberg; 2006.
    doi:<a href="https://doi.org/10.1007/11792086_4">10.1007/11792086_4</a>'
  apa: Fouvry, É., &#38; Klüners, J. (2006). Cohen–Lenstra Heuristics of Quadratic
    Number Fields. In <i>Lecture Notes in Computer Science</i>. Springer Berlin Heidelberg.
    <a href="https://doi.org/10.1007/11792086_4">https://doi.org/10.1007/11792086_4</a>
  bibtex: '@inbook{Fouvry_Klüners_2006, place={Berlin, Heidelberg}, title={Cohen–Lenstra
    Heuristics of Quadratic Number Fields}, DOI={<a href="https://doi.org/10.1007/11792086_4">10.1007/11792086_4</a>},
    booktitle={Lecture Notes in Computer Science}, publisher={Springer Berlin Heidelberg},
    author={Fouvry, Étienne and Klüners, Jürgen}, year={2006} }'
  chicago: 'Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic
    Number Fields.” In <i>Lecture Notes in Computer Science</i>. Berlin, Heidelberg:
    Springer Berlin Heidelberg, 2006. <a href="https://doi.org/10.1007/11792086_4">https://doi.org/10.1007/11792086_4</a>.'
  ieee: 'É. Fouvry and J. Klüners, “Cohen–Lenstra Heuristics of Quadratic Number Fields,”
    in <i>Lecture Notes in Computer Science</i>, Berlin, Heidelberg: Springer Berlin
    Heidelberg, 2006.'
  mla: Fouvry, Étienne, and Jürgen Klüners. “Cohen–Lenstra Heuristics of Quadratic
    Number Fields.” <i>Lecture Notes in Computer Science</i>, Springer Berlin Heidelberg,
    2006, doi:<a href="https://doi.org/10.1007/11792086_4">10.1007/11792086_4</a>.
  short: 'É. Fouvry, J. Klüners, in: Lecture Notes in Computer Science, Springer Berlin
    Heidelberg, Berlin, Heidelberg, 2006.'
date_created: 2023-01-11T09:46:47Z
date_updated: 2023-03-06T09:13:15Z
department:
- _id: '102'
doi: 10.1007/11792086_4
language:
- iso: eng
place: Berlin, Heidelberg
publication: Lecture Notes in Computer Science
publication_identifier:
  isbn:
  - '9783540360759'
  - '9783540360766'
  issn:
  - 0302-9743
  - 1611-3349
publication_status: published
publisher: Springer Berlin Heidelberg
related_material:
  link:
  - relation: confirmation
    url: https://www.researchgate.net/profile/Juergen-Klueners/publication/221451567_Cohen-Lenstra_Heuristics_of_Quadratic_Number_Fields/links/0a85e53298eaed8777000000/Cohen-Lenstra-Heuristics-of-Quadratic-Number-Fields.pdf?origin=publication_detail
status: public
title: Cohen–Lenstra Heuristics of Quadratic Number Fields
type: book_chapter
user_id: '93826'
year: '2006'
...
---
_id: '34892'
abstract:
- lang: eng
  text: 'We prove that the number of quartic S4--extensions of the rationals of given
    discriminant d is $O_\eps(d^{1/2+\eps})$ for all $\eps>0$. For a prime number
    p we derive that the dimension of the space of octahedral modular forms of weight
    1 and conductor p or p² is bounded above by O(p¹/²log(p)²). '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. The number of S₄-fields with given discriminant. <i>Acta Arithmetica</i>.
    2006;122(2):185-194. doi:<a href="https://doi.org/10.4064/aa122-2-3">10.4064/aa122-2-3</a>
  apa: Klüners, J. (2006). The number of S₄-fields with given discriminant. <i>Acta
    Arithmetica</i>, <i>122</i>(2), 185–194. <a href="https://doi.org/10.4064/aa122-2-3">https://doi.org/10.4064/aa122-2-3</a>
  bibtex: '@article{Klüners_2006, title={The number of S₄-fields with given discriminant},
    volume={122}, DOI={<a href="https://doi.org/10.4064/aa122-2-3">10.4064/aa122-2-3</a>},
    number={2}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish
    Academy of Sciences}, author={Klüners, Jürgen}, year={2006}, pages={185–194} }'
  chicago: 'Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” <i>Acta
    Arithmetica</i> 122, no. 2 (2006): 185–94. <a href="https://doi.org/10.4064/aa122-2-3">https://doi.org/10.4064/aa122-2-3</a>.'
  ieee: 'J. Klüners, “The number of S₄-fields with given discriminant,” <i>Acta Arithmetica</i>,
    vol. 122, no. 2, pp. 185–194, 2006, doi: <a href="https://doi.org/10.4064/aa122-2-3">10.4064/aa122-2-3</a>.'
  mla: Klüners, Jürgen. “The Number of S₄-Fields with given Discriminant.” <i>Acta
    Arithmetica</i>, vol. 122, no. 2, Institute of Mathematics, Polish Academy of
    Sciences, 2006, pp. 185–94, doi:<a href="https://doi.org/10.4064/aa122-2-3">10.4064/aa122-2-3</a>.
  short: J. Klüners, Acta Arithmetica 122 (2006) 185–194.
date_created: 2022-12-23T09:40:25Z
date_updated: 2023-03-06T09:52:41Z
department:
- _id: '102'
doi: 10.4064/aa122-2-3
external_id:
  arxiv:
  - math/0411484
intvolume: '       122'
issue: '2'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 185-194
publication: Acta Arithmetica
publication_identifier:
  issn:
  - 0065-1036
  - 1730-6264
publication_status: published
publisher: Institute of Mathematics, Polish Academy of Sciences
status: public
title: The number of S₄-fields with given discriminant
type: journal_article
user_id: '93826'
volume: 122
year: '2006'
...
---
_id: '16525'
author:
- first_name: Sarah
  full_name: Day, Sarah
  last_name: Day
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Konstantin
  full_name: Mischaikow, Konstantin
  last_name: Mischaikow
citation:
  ama: 'Day S, Junge O, Mischaikow K. Towards Automated Chaos Verification. In: <i>EQUADIFF
    2003</i>. ; 2005. doi:<a href="https://doi.org/10.1142/9789812702067_0014">10.1142/9789812702067_0014</a>'
  apa: Day, S., Junge, O., &#38; Mischaikow, K. (2005). Towards Automated Chaos Verification.
    In <i>EQUADIFF 2003</i>. <a href="https://doi.org/10.1142/9789812702067_0014">https://doi.org/10.1142/9789812702067_0014</a>
  bibtex: '@inproceedings{Day_Junge_Mischaikow_2005, title={Towards Automated Chaos
    Verification}, DOI={<a href="https://doi.org/10.1142/9789812702067_0014">10.1142/9789812702067_0014</a>},
    booktitle={EQUADIFF 2003}, author={Day, Sarah and Junge, Oliver and Mischaikow,
    Konstantin}, year={2005} }'
  chicago: Day, Sarah, Oliver Junge, and Konstantin Mischaikow. “Towards Automated
    Chaos Verification.” In <i>EQUADIFF 2003</i>, 2005. <a href="https://doi.org/10.1142/9789812702067_0014">https://doi.org/10.1142/9789812702067_0014</a>.
  ieee: S. Day, O. Junge, and K. Mischaikow, “Towards Automated Chaos Verification,”
    in <i>EQUADIFF 2003</i>, 2005.
  mla: Day, Sarah, et al. “Towards Automated Chaos Verification.” <i>EQUADIFF 2003</i>,
    2005, doi:<a href="https://doi.org/10.1142/9789812702067_0014">10.1142/9789812702067_0014</a>.
  short: 'S. Day, O. Junge, K. Mischaikow, in: EQUADIFF 2003, 2005.'
date_created: 2020-04-15T08:14:05Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/9789812702067_0014
language:
- iso: eng
publication: EQUADIFF 2003
publication_identifier:
  isbn:
  - '9789812561695'
  - '9789812702067'
publication_status: published
status: public
title: Towards Automated Chaos Verification
type: conference
user_id: '15701'
year: '2005'
...
---
_id: '16557'
abstract:
- lang: eng
  text: <jats:p> We combine the techniques of almost invariant sets (using tree structured
    box elimination and graph partitioning algorithms) with invariant manifold and
    lobe dynamics techniques. The result is a new computational technique for computing
    key dynamical features, including almost invariant sets, resonance regions as
    well as transport rates and bottlenecks between regions in dynamical systems.
    This methodology can be applied to a variety of multibody problems, including
    those in molecular modeling, chemical reaction rates and dynamical astronomy.
    In this paper we focus on problems in dynamical astronomy to illustrate the power
    of the combination of these different numerical tools and their applicability.
    In particular, we compute transport rates between two resonance regions for the
    three-body system consisting of the Sun, Jupiter and a third body (such as an
    asteroid). These resonance regions are appropriate for certain comets and asteroids.
    </jats:p>
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Wang Sang
  full_name: Koon, Wang Sang
  last_name: Koon
- first_name: Francois
  full_name: Lekien, Francois
  last_name: Lekien
- first_name: Martin W.
  full_name: Lo, Martin W.
  last_name: Lo
- first_name: Jerrold E.
  full_name: Marsden, Jerrold E.
  last_name: Marsden
- first_name: Kathrin
  full_name: Padberg, Kathrin
  last_name: Padberg
- first_name: Robert
  full_name: Preis, Robert
  last_name: Preis
- first_name: Shane D.
  full_name: Ross, Shane D.
  last_name: Ross
- first_name: Bianca
  full_name: Thiere, Bianca
  last_name: Thiere
citation:
  ama: Dellnitz M, Junge O, Koon WS, et al. Transport in Dynamical Astronomy and Multibody
    Problems. <i>International Journal of Bifurcation and Chaos</i>. 2005:699-727.
    doi:<a href="https://doi.org/10.1142/s0218127405012545">10.1142/s0218127405012545</a>
  apa: Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E.,
    … Thiere, B. (2005). Transport in Dynamical Astronomy and Multibody Problems.
    <i>International Journal of Bifurcation and Chaos</i>, 699–727. <a href="https://doi.org/10.1142/s0218127405012545">https://doi.org/10.1142/s0218127405012545</a>
  bibtex: '@article{Dellnitz_Junge_Koon_Lekien_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005,
    title={Transport in Dynamical Astronomy and Multibody Problems}, DOI={<a href="https://doi.org/10.1142/s0218127405012545">10.1142/s0218127405012545</a>},
    journal={International Journal of Bifurcation and Chaos}, author={Dellnitz, Michael
    and Junge, Oliver and Koon, Wang Sang and Lekien, Francois and Lo, Martin W. and
    Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert and Ross, Shane D.
    and Thiere, Bianca}, year={2005}, pages={699–727} }'
  chicago: Dellnitz, Michael, Oliver Junge, Wang Sang Koon, Francois Lekien, Martin
    W. Lo, Jerrold E. Marsden, Kathrin Padberg, Robert Preis, Shane D. Ross, and Bianca
    Thiere. “Transport in Dynamical Astronomy and Multibody Problems.” <i>International
    Journal of Bifurcation and Chaos</i>, 2005, 699–727. <a href="https://doi.org/10.1142/s0218127405012545">https://doi.org/10.1142/s0218127405012545</a>.
  ieee: M. Dellnitz <i>et al.</i>, “Transport in Dynamical Astronomy and Multibody
    Problems,” <i>International Journal of Bifurcation and Chaos</i>, pp. 699–727,
    2005.
  mla: Dellnitz, Michael, et al. “Transport in Dynamical Astronomy and Multibody Problems.”
    <i>International Journal of Bifurcation and Chaos</i>, 2005, pp. 699–727, doi:<a
    href="https://doi.org/10.1142/s0218127405012545">10.1142/s0218127405012545</a>.
  short: M. Dellnitz, O. Junge, W.S. Koon, F. Lekien, M.W. Lo, J.E. Marsden, K. Padberg,
    R. Preis, S.D. Ross, B. Thiere, International Journal of Bifurcation and Chaos
    (2005) 699–727.
date_created: 2020-04-15T09:15:58Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1142/s0218127405012545
language:
- iso: eng
page: 699-727
publication: International Journal of Bifurcation and Chaos
publication_identifier:
  issn:
  - 0218-1274
  - 1793-6551
publication_status: published
status: public
title: Transport in Dynamical Astronomy and Multibody Problems
type: journal_article
user_id: '15701'
year: '2005'
...
---
_id: '16558'
author:
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Martin W.
  full_name: Lo, Martin W.
  last_name: Lo
- first_name: Jerrold E.
  full_name: Marsden, Jerrold E.
  last_name: Marsden
- first_name: Kathrin
  full_name: Padberg, Kathrin
  last_name: Padberg
- first_name: Robert
  full_name: Preis, Robert
  last_name: Preis
- first_name: Shane D.
  full_name: Ross, Shane D.
  last_name: Ross
- first_name: Bianca
  full_name: Thiere, Bianca
  last_name: Thiere
citation:
  ama: Dellnitz M, Junge O, Lo MW, et al. Transport of Mars-Crossing Asteroids from
    the Quasi-Hilda Region. <i>Physical Review Letters</i>. 2005. doi:<a href="https://doi.org/10.1103/physrevlett.94.231102">10.1103/physrevlett.94.231102</a>
  apa: Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R.,
    … Thiere, B. (2005). Transport of Mars-Crossing Asteroids from the Quasi-Hilda
    Region. <i>Physical Review Letters</i>. <a href="https://doi.org/10.1103/physrevlett.94.231102">https://doi.org/10.1103/physrevlett.94.231102</a>
  bibtex: '@article{Dellnitz_Junge_Lo_Marsden_Padberg_Preis_Ross_Thiere_2005, title={Transport
    of Mars-Crossing Asteroids from the Quasi-Hilda Region}, DOI={<a href="https://doi.org/10.1103/physrevlett.94.231102">10.1103/physrevlett.94.231102</a>},
    journal={Physical Review Letters}, author={Dellnitz, Michael and Junge, Oliver
    and Lo, Martin W. and Marsden, Jerrold E. and Padberg, Kathrin and Preis, Robert
    and Ross, Shane D. and Thiere, Bianca}, year={2005} }'
  chicago: Dellnitz, Michael, Oliver Junge, Martin W. Lo, Jerrold E. Marsden, Kathrin
    Padberg, Robert Preis, Shane D. Ross, and Bianca Thiere. “Transport of Mars-Crossing
    Asteroids from the Quasi-Hilda Region.” <i>Physical Review Letters</i>, 2005.
    <a href="https://doi.org/10.1103/physrevlett.94.231102">https://doi.org/10.1103/physrevlett.94.231102</a>.
  ieee: M. Dellnitz <i>et al.</i>, “Transport of Mars-Crossing Asteroids from the
    Quasi-Hilda Region,” <i>Physical Review Letters</i>, 2005.
  mla: Dellnitz, Michael, et al. “Transport of Mars-Crossing Asteroids from the Quasi-Hilda
    Region.” <i>Physical Review Letters</i>, 2005, doi:<a href="https://doi.org/10.1103/physrevlett.94.231102">10.1103/physrevlett.94.231102</a>.
  short: M. Dellnitz, O. Junge, M.W. Lo, J.E. Marsden, K. Padberg, R. Preis, S.D.
    Ross, B. Thiere, Physical Review Letters (2005).
date_created: 2020-04-15T09:54:54Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1103/physrevlett.94.231102
language:
- iso: eng
publication: Physical Review Letters
publication_identifier:
  issn:
  - 0031-9007
  - 1079-7114
publication_status: published
status: public
title: Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region
type: journal_article
user_id: '15701'
year: '2005'
...
---
_id: '16613'
author:
- first_name: Lars
  full_name: Grüne, Lars
  last_name: Grüne
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
citation:
  ama: Grüne L, Junge O. A set oriented approach to optimal feedback stabilization.
    <i>Systems &#38; Control Letters</i>. 2005:169-180. doi:<a href="https://doi.org/10.1016/j.sysconle.2004.08.005">10.1016/j.sysconle.2004.08.005</a>
  apa: Grüne, L., &#38; Junge, O. (2005). A set oriented approach to optimal feedback
    stabilization. <i>Systems &#38; Control Letters</i>, 169–180. <a href="https://doi.org/10.1016/j.sysconle.2004.08.005">https://doi.org/10.1016/j.sysconle.2004.08.005</a>
  bibtex: '@article{Grüne_Junge_2005, title={A set oriented approach to optimal feedback
    stabilization}, DOI={<a href="https://doi.org/10.1016/j.sysconle.2004.08.005">10.1016/j.sysconle.2004.08.005</a>},
    journal={Systems &#38; Control Letters}, author={Grüne, Lars and Junge, Oliver},
    year={2005}, pages={169–180} }'
  chicago: Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback
    Stabilization.” <i>Systems &#38; Control Letters</i>, 2005, 169–80. <a href="https://doi.org/10.1016/j.sysconle.2004.08.005">https://doi.org/10.1016/j.sysconle.2004.08.005</a>.
  ieee: L. Grüne and O. Junge, “A set oriented approach to optimal feedback stabilization,”
    <i>Systems &#38; Control Letters</i>, pp. 169–180, 2005.
  mla: Grüne, Lars, and Oliver Junge. “A Set Oriented Approach to Optimal Feedback
    Stabilization.” <i>Systems &#38; Control Letters</i>, 2005, pp. 169–80, doi:<a
    href="https://doi.org/10.1016/j.sysconle.2004.08.005">10.1016/j.sysconle.2004.08.005</a>.
  short: L. Grüne, O. Junge, Systems &#38; Control Letters (2005) 169–180.
date_created: 2020-04-16T08:04:26Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1016/j.sysconle.2004.08.005
language:
- iso: eng
page: 169-180
publication: Systems & Control Letters
publication_identifier:
  issn:
  - 0167-6911
publication_status: published
status: public
title: A set oriented approach to optimal feedback stabilization
type: journal_article
user_id: '15701'
year: '2005'
...
---
_id: '16627'
abstract:
- lang: eng
  text: <jats:p> The computation of global invariant manifolds has seen renewed interest
    in recent years. We survey different approaches for computing a global stable
    or unstable manifold of a vector field, where we concentrate on the case of a
    two-dimensional manifold. All methods are illustrated with the same example —
    the two-dimensional stable manifold of the origin in the Lorenz system. </jats:p>
author:
- first_name: B.
  full_name: Krauskopf, B.
  last_name: Krauskopf
- first_name: H. M.
  full_name: Osinga, H. M.
  last_name: Osinga
- first_name: E. J.
  full_name: Doedel, E. J.
  last_name: Doedel
- first_name: M. E.
  full_name: Henderson, M. E.
  last_name: Henderson
- first_name: J.
  full_name: Guckenheimer, J.
  last_name: Guckenheimer
- first_name: A.
  full_name: Vladimirsky, A.
  last_name: Vladimirsky
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: O.
  full_name: Junge, O.
  last_name: Junge
citation:
  ama: Krauskopf B, Osinga HM, Doedel EJ, et al. A Survey of Methods for Computing
    (un)stable Manifolds of Vector Fields. <i>International Journal of Bifurcation
    and Chaos</i>. 2005:763-791. doi:<a href="https://doi.org/10.1142/s0218127405012533">10.1142/s0218127405012533</a>
  apa: Krauskopf, B., Osinga, H. M., Doedel, E. J., Henderson, M. E., Guckenheimer,
    J., Vladimirsky, A., … Junge, O. (2005). A Survey of Methods for Computing (un)stable
    Manifolds of Vector Fields. <i>International Journal of Bifurcation and Chaos</i>,
    763–791. <a href="https://doi.org/10.1142/s0218127405012533">https://doi.org/10.1142/s0218127405012533</a>
  bibtex: '@article{Krauskopf_Osinga_Doedel_Henderson_Guckenheimer_Vladimirsky_Dellnitz_Junge_2005,
    title={A Survey of Methods for Computing (un)stable Manifolds of Vector Fields},
    DOI={<a href="https://doi.org/10.1142/s0218127405012533">10.1142/s0218127405012533</a>},
    journal={International Journal of Bifurcation and Chaos}, author={Krauskopf, B.
    and Osinga, H. M. and Doedel, E. J. and Henderson, M. E. and Guckenheimer, J.
    and Vladimirsky, A. and Dellnitz, M. and Junge, O.}, year={2005}, pages={763–791}
    }'
  chicago: Krauskopf, B., H. M. Osinga, E. J. Doedel, M. E. Henderson, J. Guckenheimer,
    A. Vladimirsky, M. Dellnitz, and O. Junge. “A Survey of Methods for Computing
    (Un)Stable Manifolds of Vector Fields.” <i>International Journal of Bifurcation
    and Chaos</i>, 2005, 763–91. <a href="https://doi.org/10.1142/s0218127405012533">https://doi.org/10.1142/s0218127405012533</a>.
  ieee: B. Krauskopf <i>et al.</i>, “A Survey of Methods for Computing (un)stable
    Manifolds of Vector Fields,” <i>International Journal of Bifurcation and Chaos</i>,
    pp. 763–791, 2005.
  mla: Krauskopf, B., et al. “A Survey of Methods for Computing (Un)Stable Manifolds
    of Vector Fields.” <i>International Journal of Bifurcation and Chaos</i>, 2005,
    pp. 763–91, doi:<a href="https://doi.org/10.1142/s0218127405012533">10.1142/s0218127405012533</a>.
  short: B. Krauskopf, H.M. Osinga, E.J. Doedel, M.E. Henderson, J. Guckenheimer,
    A. Vladimirsky, M. Dellnitz, O. Junge, International Journal of Bifurcation and
    Chaos (2005) 763–791.
date_created: 2020-04-16T08:21:52Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1142/s0218127405012533
language:
- iso: eng
page: 763-791
publication: International Journal of Bifurcation and Chaos
publication_identifier:
  issn:
  - 0218-1274
  - 1793-6551
publication_status: published
status: public
title: A Survey of Methods for Computing (un)stable Manifolds of Vector Fields
type: journal_article
user_id: '15701'
year: '2005'
...
---
_id: '16628'
author:
- first_name: A.
  full_name: Krishnamurthy, A.
  last_name: Krishnamurthy
- first_name: R.
  full_name: Preis, R.
  last_name: Preis
citation:
  ama: 'Krishnamurthy A, Preis R. Satellite Formation, a Mobile Sensor Network in
    Space. In: <i>19th IEEE International Parallel and Distributed Processing Symposium</i>.
    ; 2005. doi:<a href="https://doi.org/10.1109/ipdps.2005.387">10.1109/ipdps.2005.387</a>'
  apa: Krishnamurthy, A., &#38; Preis, R. (2005). Satellite Formation, a Mobile Sensor
    Network in Space. In <i>19th IEEE International Parallel and Distributed Processing
    Symposium</i>. <a href="https://doi.org/10.1109/ipdps.2005.387">https://doi.org/10.1109/ipdps.2005.387</a>
  bibtex: '@inproceedings{Krishnamurthy_Preis_2005, title={Satellite Formation, a
    Mobile Sensor Network in Space}, DOI={<a href="https://doi.org/10.1109/ipdps.2005.387">10.1109/ipdps.2005.387</a>},
    booktitle={19th IEEE International Parallel and Distributed Processing Symposium},
    author={Krishnamurthy, A. and Preis, R.}, year={2005} }'
  chicago: Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor
    Network in Space.” In <i>19th IEEE International Parallel and Distributed Processing
    Symposium</i>, 2005. <a href="https://doi.org/10.1109/ipdps.2005.387">https://doi.org/10.1109/ipdps.2005.387</a>.
  ieee: A. Krishnamurthy and R. Preis, “Satellite Formation, a Mobile Sensor Network
    in Space,” in <i>19th IEEE International Parallel and Distributed Processing Symposium</i>,
    2005.
  mla: Krishnamurthy, A., and R. Preis. “Satellite Formation, a Mobile Sensor Network
    in Space.” <i>19th IEEE International Parallel and Distributed Processing Symposium</i>,
    2005, doi:<a href="https://doi.org/10.1109/ipdps.2005.387">10.1109/ipdps.2005.387</a>.
  short: 'A. Krishnamurthy, R. Preis, in: 19th IEEE International Parallel and Distributed
    Processing Symposium, 2005.'
date_created: 2020-04-16T08:22:43Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1109/ipdps.2005.387
publication: 19th IEEE International Parallel and Distributed Processing Symposium
publication_identifier:
  isbn:
  - '0769523129'
publication_status: published
status: public
title: Satellite Formation, a Mobile Sensor Network in Space
type: conference
user_id: '15701'
year: '2005'
...
---
_id: '16631'
author:
- first_name: R.
  full_name: Li, R.
  last_name: Li
- first_name: A.
  full_name: Pottharst, A.
  last_name: Pottharst
- first_name: N.
  full_name: Frohieke, N.
  last_name: Frohieke
- first_name: J.
  full_name: Becker, J.
  last_name: Becker
- first_name: K.
  full_name: Witting, K.
  last_name: Witting
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: O.
  full_name: Znamenshchykov, O.
  last_name: Znamenshchykov
- first_name: R.
  full_name: Feldmann, R.
  last_name: Feldmann
citation:
  ama: 'Li R, Pottharst A, Frohieke N, et al. Design and implementation of a hybrid
    energy supply system for railway vehicles. In: <i>Twentieth Annual IEEE Applied
    Power Electronics Conference and Exposition, 2005. APEC 2005.</i> ; 2005. doi:<a
    href="https://doi.org/10.1109/apec.2005.1452979">10.1109/apec.2005.1452979</a>'
  apa: Li, R., Pottharst, A., Frohieke, N., Becker, J., Witting, K., Dellnitz, M.,
    … Feldmann, R. (2005). Design and implementation of a hybrid energy supply system
    for railway vehicles. In <i>Twentieth Annual IEEE Applied Power Electronics Conference
    and Exposition, 2005. APEC 2005.</i> <a href="https://doi.org/10.1109/apec.2005.1452979">https://doi.org/10.1109/apec.2005.1452979</a>
  bibtex: '@inproceedings{Li_Pottharst_Frohieke_Becker_Witting_Dellnitz_Znamenshchykov_Feldmann_2005,
    title={Design and implementation of a hybrid energy supply system for railway
    vehicles}, DOI={<a href="https://doi.org/10.1109/apec.2005.1452979">10.1109/apec.2005.1452979</a>},
    booktitle={Twentieth Annual IEEE Applied Power Electronics Conference and Exposition,
    2005. APEC 2005.}, author={Li, R. and Pottharst, A. and Frohieke, N. and Becker,
    J. and Witting, K. and Dellnitz, M. and Znamenshchykov, O. and Feldmann, R.},
    year={2005} }'
  chicago: Li, R., A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz,
    O. Znamenshchykov, and R. Feldmann. “Design and Implementation of a Hybrid Energy
    Supply System for Railway Vehicles.” In <i>Twentieth Annual IEEE Applied Power
    Electronics Conference and Exposition, 2005. APEC 2005.</i>, 2005. <a href="https://doi.org/10.1109/apec.2005.1452979">https://doi.org/10.1109/apec.2005.1452979</a>.
  ieee: R. Li <i>et al.</i>, “Design and implementation of a hybrid energy supply
    system for railway vehicles,” in <i>Twentieth Annual IEEE Applied Power Electronics
    Conference and Exposition, 2005. APEC 2005.</i>, 2005.
  mla: Li, R., et al. “Design and Implementation of a Hybrid Energy Supply System
    for Railway Vehicles.” <i>Twentieth Annual IEEE Applied Power Electronics Conference
    and Exposition, 2005. APEC 2005.</i>, 2005, doi:<a href="https://doi.org/10.1109/apec.2005.1452979">10.1109/apec.2005.1452979</a>.
  short: 'R. Li, A. Pottharst, N. Frohieke, J. Becker, K. Witting, M. Dellnitz, O.
    Znamenshchykov, R. Feldmann, in: Twentieth Annual IEEE Applied Power Electronics
    Conference and Exposition, 2005. APEC 2005., 2005.'
date_created: 2020-04-16T08:29:47Z
date_updated: 2022-01-06T06:52:53Z
department:
- _id: '101'
doi: 10.1109/apec.2005.1452979
publication: Twentieth Annual IEEE Applied Power Electronics Conference and Exposition,
  2005. APEC 2005.
publication_identifier:
  isbn:
  - '0780389751'
publication_status: published
status: public
title: Design and implementation of a hybrid energy supply system for railway vehicles
type: conference
user_id: '15701'
year: '2005'
...
---
_id: '16684'
author:
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: O.
  full_name: Sch�tze, O.
  last_name: Sch�tze
- first_name: T.
  full_name: Hestermeyer, T.
  last_name: Hestermeyer
citation:
  ama: Dellnitz M, Sch�tze O, Hestermeyer T. Covering Pareto Sets by Multilevel Subdivision
    Techniques. <i>Journal of Optimization Theory and Applications</i>. 2005:113-136.
    doi:<a href="https://doi.org/10.1007/s10957-004-6468-7">10.1007/s10957-004-6468-7</a>
  apa: Dellnitz, M., Sch�tze, O., &#38; Hestermeyer, T. (2005). Covering Pareto Sets
    by Multilevel Subdivision Techniques. <i>Journal of Optimization Theory and Applications</i>,
    113–136. <a href="https://doi.org/10.1007/s10957-004-6468-7">https://doi.org/10.1007/s10957-004-6468-7</a>
  bibtex: '@article{Dellnitz_Sch�tze_Hestermeyer_2005, title={Covering Pareto Sets
    by Multilevel Subdivision Techniques}, DOI={<a href="https://doi.org/10.1007/s10957-004-6468-7">10.1007/s10957-004-6468-7</a>},
    journal={Journal of Optimization Theory and Applications}, author={Dellnitz, M.
    and Sch�tze, O. and Hestermeyer, T.}, year={2005}, pages={113–136} }'
  chicago: Dellnitz, M., O. Sch�tze, and T. Hestermeyer. “Covering Pareto Sets by
    Multilevel Subdivision Techniques.” <i>Journal of Optimization Theory and Applications</i>,
    2005, 113–36. <a href="https://doi.org/10.1007/s10957-004-6468-7">https://doi.org/10.1007/s10957-004-6468-7</a>.
  ieee: M. Dellnitz, O. Sch�tze, and T. Hestermeyer, “Covering Pareto Sets by Multilevel
    Subdivision Techniques,” <i>Journal of Optimization Theory and Applications</i>,
    pp. 113–136, 2005.
  mla: Dellnitz, M., et al. “Covering Pareto Sets by Multilevel Subdivision Techniques.”
    <i>Journal of Optimization Theory and Applications</i>, 2005, pp. 113–36, doi:<a
    href="https://doi.org/10.1007/s10957-004-6468-7">10.1007/s10957-004-6468-7</a>.
  short: M. Dellnitz, O. Sch�tze, T. Hestermeyer, Journal of Optimization Theory and
    Applications (2005) 113–136.
date_created: 2020-04-16T10:31:32Z
date_updated: 2022-01-06T06:52:54Z
department:
- _id: '101'
doi: 10.1007/s10957-004-6468-7
language:
- iso: eng
page: 113-136
publication: Journal of Optimization Theory and Applications
publication_identifier:
  issn:
  - 0022-3239
  - 1573-2878
publication_status: published
status: public
title: Covering Pareto Sets by Multilevel Subdivision Techniques
type: journal_article
user_id: '15701'
year: '2005'
...
---
_id: '34894'
abstract:
- lang: eng
  text: 'In this Note we give a counter example to a conjecture of Malle which predicts
    the asymptotic behavior of the counting functions for field extensions with given
    Galois group and bounded discriminant. '
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. A counter example to Malle’s conjecture on the asymptotics of discriminants.
    <i>Comptes Rendus Mathematique</i>. 2005;340(6):411-414. doi:<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>
  apa: Klüners, J. (2005). A counter example to Malle’s conjecture on the asymptotics
    of discriminants. <i>Comptes Rendus Mathematique</i>, <i>340</i>(6), 411–414.
    <a href="https://doi.org/10.1016/j.crma.2005.02.010">https://doi.org/10.1016/j.crma.2005.02.010</a>
  bibtex: '@article{Klüners_2005, title={A counter example to Malle’s conjecture on
    the asymptotics of discriminants}, volume={340}, DOI={<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>},
    number={6}, journal={Comptes Rendus Mathematique}, publisher={Elsevier BV}, author={Klüners,
    Jürgen}, year={2005}, pages={411–414} }'
  chicago: 'Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics
    of Discriminants.” <i>Comptes Rendus Mathematique</i> 340, no. 6 (2005): 411–14.
    <a href="https://doi.org/10.1016/j.crma.2005.02.010">https://doi.org/10.1016/j.crma.2005.02.010</a>.'
  ieee: 'J. Klüners, “A counter example to Malle’s conjecture on the asymptotics of
    discriminants,” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, pp. 411–414,
    2005, doi: <a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>.'
  mla: Klüners, Jürgen. “A Counter Example to Malle’s Conjecture on the Asymptotics
    of Discriminants.” <i>Comptes Rendus Mathematique</i>, vol. 340, no. 6, Elsevier
    BV, 2005, pp. 411–14, doi:<a href="https://doi.org/10.1016/j.crma.2005.02.010">10.1016/j.crma.2005.02.010</a>.
  short: J. Klüners, Comptes Rendus Mathematique 340 (2005) 411–414.
date_created: 2022-12-23T09:44:05Z
date_updated: 2023-03-06T09:15:10Z
department:
- _id: '102'
doi: 10.1016/j.crma.2005.02.010
external_id:
  arxiv:
  - 'math/0411486 '
intvolume: '       340'
issue: '6'
keyword:
- General Mathematics
language:
- iso: eng
page: 411-414
publication: Comptes Rendus Mathematique
publication_identifier:
  issn:
  - 1631-073X
publication_status: published
publisher: Elsevier BV
status: public
title: A counter example to Malle's conjecture on the asymptotics of discriminants
type: journal_article
user_id: '93826'
volume: 340
year: '2005'
...
---
_id: '34893'
abstract:
- lang: eng
  text: Let K be a global field and O be an order of K. We develop algorithms for
    the computation of the unit group of residue class rings for ideals O in . As
    an application we show how to compute the unit group and the Picard group of O
    provided that we are able to compute the unit group and class group of the maximal
    order O of K.
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
- first_name: Sebastian
  full_name: Pauli, Sebastian
  last_name: Pauli
citation:
  ama: Klüners J, Pauli S. Computing residue class rings and Picard groups of orders.
    <i>Journal of Algebra</i>. 2005;292(1):47-64. doi:<a href="https://doi.org/10.1016/j.jalgebra.2005.04.013">10.1016/j.jalgebra.2005.04.013</a>
  apa: Klüners, J., &#38; Pauli, S. (2005). Computing residue class rings and Picard
    groups of orders. <i>Journal of Algebra</i>, <i>292</i>(1), 47–64. <a href="https://doi.org/10.1016/j.jalgebra.2005.04.013">https://doi.org/10.1016/j.jalgebra.2005.04.013</a>
  bibtex: '@article{Klüners_Pauli_2005, title={Computing residue class rings and Picard
    groups of orders}, volume={292}, DOI={<a href="https://doi.org/10.1016/j.jalgebra.2005.04.013">10.1016/j.jalgebra.2005.04.013</a>},
    number={1}, journal={Journal of Algebra}, publisher={Elsevier BV}, author={Klüners,
    Jürgen and Pauli, Sebastian}, year={2005}, pages={47–64} }'
  chicago: 'Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and
    Picard Groups of Orders.” <i>Journal of Algebra</i> 292, no. 1 (2005): 47–64.
    <a href="https://doi.org/10.1016/j.jalgebra.2005.04.013">https://doi.org/10.1016/j.jalgebra.2005.04.013</a>.'
  ieee: 'J. Klüners and S. Pauli, “Computing residue class rings and Picard groups
    of orders,” <i>Journal of Algebra</i>, vol. 292, no. 1, pp. 47–64, 2005, doi:
    <a href="https://doi.org/10.1016/j.jalgebra.2005.04.013">10.1016/j.jalgebra.2005.04.013</a>.'
  mla: Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard
    Groups of Orders.” <i>Journal of Algebra</i>, vol. 292, no. 1, Elsevier BV, 2005,
    pp. 47–64, doi:<a href="https://doi.org/10.1016/j.jalgebra.2005.04.013">10.1016/j.jalgebra.2005.04.013</a>.
  short: J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
date_created: 2022-12-23T09:41:06Z
date_updated: 2023-03-06T09:55:09Z
department:
- _id: '102'
doi: 10.1016/j.jalgebra.2005.04.013
intvolume: '       292'
issue: '1'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 47-64
publication: Journal of Algebra
publication_identifier:
  issn:
  - 0021-8693
publication_status: published
publisher: Elsevier BV
status: public
title: Computing residue class rings and Picard groups of orders
type: journal_article
user_id: '93826'
volume: 292
year: '2005'
...
---
_id: '42807'
author:
- first_name: Jürgen
  full_name: Klüners, Jürgen
  id: '21202'
  last_name: Klüners
citation:
  ama: Klüners J. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe
    (Habilitation)</i>. Shaker Verlag; 2005.
  apa: Klüners, J. (2005). <i>Über die Asymptotik von Zahlkörpern mit vorgegebener
    Galoisgruppe (Habilitation)</i>. Shaker Verlag.
  bibtex: '@book{Klüners_2005, place={Universiät Kassel}, title={Über die Asymptotik
    von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)}, publisher={Shaker
    Verlag}, author={Klüners, Jürgen}, year={2005} }'
  chicago: 'Klüners, Jürgen. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener
    Galoisgruppe (Habilitation)</i>. Universiät Kassel: Shaker Verlag, 2005.'
  ieee: 'J. Klüners, <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe
    (Habilitation)</i>. Universiät Kassel: Shaker Verlag, 2005.'
  mla: Klüners, Jürgen. <i>Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe
    (Habilitation)</i>. Shaker Verlag, 2005.
  short: J. Klüners, Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe
    (Habilitation), Shaker Verlag, Universiät Kassel, 2005.
date_created: 2023-03-07T09:05:29Z
date_updated: 2023-04-11T08:13:38Z
department:
- _id: '102'
extern: '1'
language:
- iso: ger
page: '114'
place: Universiät Kassel
publication_identifier:
  isbn:
  - 978-3-8322-4003-5
publisher: Shaker Verlag
status: public
title: Über die Asymptotik von Zahlkörpern mit vorgegebener Galoisgruppe (Habilitation)
type: misc
user_id: '93826'
year: '2005'
...
---
_id: '43455'
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
citation:
  ama: Kirschmer M. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>.;
    2005.
  apa: Kirschmer, M. (2005). <i>Konstruktive Idealtheorie in Quaternionenalgebren
    (Diplomarbeit)</i>.
  bibtex: '@book{Kirschmer_2005, place={Universität Ulm}, title={Konstruktive Idealtheorie
    in Quaternionenalgebren (Diplomarbeit)}, author={Kirschmer, Markus}, year={2005}
    }'
  chicago: Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren
    (Diplomarbeit)</i>. Universität Ulm, 2005.
  ieee: M. Kirschmer, <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>.
    Universität Ulm, 2005.
  mla: Kirschmer, Markus. <i>Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)</i>.
    2005.
  short: M. Kirschmer, Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit),
    Universität Ulm, 2005.
date_created: 2023-04-11T08:09:29Z
date_updated: 2023-04-11T08:11:24Z
department:
- _id: '102'
extern: '1'
language:
- iso: eng
page: '147'
place: Universität Ulm
status: public
title: Konstruktive Idealtheorie in Quaternionenalgebren (Diplomarbeit)
type: mastersthesis
user_id: '93826'
year: '2005'
...
---
_id: '16500'
author:
- first_name: I.
  full_name: Chaudhuri, I.
  last_name: Chaudhuri
- first_name: S.
  full_name: Sertl, S.
  last_name: Sertl
- first_name: Z.
  full_name: Hajnal, Z.
  last_name: Hajnal
- first_name: M.
  full_name: Dellnitz, M.
  last_name: Dellnitz
- first_name: Th.
  full_name: Frauenheim, Th.
  last_name: Frauenheim
citation:
  ama: Chaudhuri I, Sertl S, Hajnal Z, Dellnitz M, Frauenheim T. Global optimization
    of silicon nanoclusters. <i>Applied Surface Science</i>. 2004:108-113. doi:<a
    href="https://doi.org/10.1016/j.apsusc.2003.11.007">10.1016/j.apsusc.2003.11.007</a>
  apa: Chaudhuri, I., Sertl, S., Hajnal, Z., Dellnitz, M., &#38; Frauenheim, T. (2004).
    Global optimization of silicon nanoclusters. <i>Applied Surface Science</i>, 108–113.
    <a href="https://doi.org/10.1016/j.apsusc.2003.11.007">https://doi.org/10.1016/j.apsusc.2003.11.007</a>
  bibtex: '@article{Chaudhuri_Sertl_Hajnal_Dellnitz_Frauenheim_2004, title={Global
    optimization of silicon nanoclusters}, DOI={<a href="https://doi.org/10.1016/j.apsusc.2003.11.007">10.1016/j.apsusc.2003.11.007</a>},
    journal={Applied Surface Science}, author={Chaudhuri, I. and Sertl, S. and Hajnal,
    Z. and Dellnitz, M. and Frauenheim, Th.}, year={2004}, pages={108–113} }'
  chicago: Chaudhuri, I., S. Sertl, Z. Hajnal, M. Dellnitz, and Th. Frauenheim. “Global
    Optimization of Silicon Nanoclusters.” <i>Applied Surface Science</i>, 2004, 108–13.
    <a href="https://doi.org/10.1016/j.apsusc.2003.11.007">https://doi.org/10.1016/j.apsusc.2003.11.007</a>.
  ieee: I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, and T. Frauenheim, “Global
    optimization of silicon nanoclusters,” <i>Applied Surface Science</i>, pp. 108–113,
    2004.
  mla: Chaudhuri, I., et al. “Global Optimization of Silicon Nanoclusters.” <i>Applied
    Surface Science</i>, 2004, pp. 108–13, doi:<a href="https://doi.org/10.1016/j.apsusc.2003.11.007">10.1016/j.apsusc.2003.11.007</a>.
  short: I. Chaudhuri, S. Sertl, Z. Hajnal, M. Dellnitz, T. Frauenheim, Applied Surface
    Science (2004) 108–113.
date_created: 2020-04-14T10:08:09Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1016/j.apsusc.2003.11.007
language:
- iso: eng
page: 108-113
publication: Applied Surface Science
publication_identifier:
  issn:
  - 0169-4332
publication_status: published
status: public
title: Global optimization of silicon nanoclusters
type: journal_article
user_id: '15701'
year: '2004'
...
---
_id: '16521'
author:
- first_name: S.
  full_name: Bezrukov, S.
  last_name: Bezrukov
- first_name: R.
  full_name: Elsässer, R.
  last_name: Elsässer
- first_name: B.
  full_name: Monien, B.
  last_name: Monien
- first_name: R.
  full_name: Preis, R.
  last_name: Preis
- first_name: J.-P.
  full_name: Tillich, J.-P.
  last_name: Tillich
citation:
  ama: Bezrukov S, Elsässer R, Monien B, Preis R, Tillich J-P. New spectral lower
    bounds on the bisection width of graphs. <i>Theoretical Computer Science</i>.
    2004:155-174. doi:<a href="https://doi.org/10.1016/j.tcs.2004.03.059">10.1016/j.tcs.2004.03.059</a>
  apa: Bezrukov, S., Elsässer, R., Monien, B., Preis, R., &#38; Tillich, J.-P. (2004).
    New spectral lower bounds on the bisection width of graphs. <i>Theoretical Computer
    Science</i>, 155–174. <a href="https://doi.org/10.1016/j.tcs.2004.03.059">https://doi.org/10.1016/j.tcs.2004.03.059</a>
  bibtex: '@article{Bezrukov_Elsässer_Monien_Preis_Tillich_2004, title={New spectral
    lower bounds on the bisection width of graphs}, DOI={<a href="https://doi.org/10.1016/j.tcs.2004.03.059">10.1016/j.tcs.2004.03.059</a>},
    journal={Theoretical Computer Science}, author={Bezrukov, S. and Elsässer, R.
    and Monien, B. and Preis, R. and Tillich, J.-P.}, year={2004}, pages={155–174}
    }'
  chicago: Bezrukov, S., R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich. “New
    Spectral Lower Bounds on the Bisection Width of Graphs.” <i>Theoretical Computer
    Science</i>, 2004, 155–74. <a href="https://doi.org/10.1016/j.tcs.2004.03.059">https://doi.org/10.1016/j.tcs.2004.03.059</a>.
  ieee: S. Bezrukov, R. Elsässer, B. Monien, R. Preis, and J.-P. Tillich, “New spectral
    lower bounds on the bisection width of graphs,” <i>Theoretical Computer Science</i>,
    pp. 155–174, 2004.
  mla: Bezrukov, S., et al. “New Spectral Lower Bounds on the Bisection Width of Graphs.”
    <i>Theoretical Computer Science</i>, 2004, pp. 155–74, doi:<a href="https://doi.org/10.1016/j.tcs.2004.03.059">10.1016/j.tcs.2004.03.059</a>.
  short: S. Bezrukov, R. Elsässer, B. Monien, R. Preis, J.-P. Tillich, Theoretical
    Computer Science (2004) 155–174.
date_created: 2020-04-15T08:05:40Z
date_updated: 2022-01-06T06:52:52Z
department:
- _id: '101'
doi: 10.1016/j.tcs.2004.03.059
language:
- iso: eng
page: 155-174
publication: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
publication_status: published
status: public
title: New spectral lower bounds on the bisection width of graphs
type: journal_article
user_id: '15701'
year: '2004'
...