---
_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: '51468'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. An Ergodic Arnold-Liouville Theorem for Symmetric Spaces. In: Ali
    ST, et al., eds. <i>Twenty Years of Bialowieza: A Mathematical Antology</i>. World
    Scientific; 2005.'
  apa: 'Hilgert, J. (2005). An Ergodic Arnold-Liouville Theorem for Symmetric Spaces.
    In S. T. Ali &#38; et al. (Eds.), <i>Twenty Years of Bialowieza: A Mathematical
    Antology</i>. World Scientific.'
  bibtex: '@inbook{Hilgert_2005, place={Singapore}, title={An Ergodic Arnold-Liouville
    Theorem for Symmetric Spaces}, booktitle={Twenty Years of Bialowieza: A Mathematical
    Antology}, publisher={World Scientific}, author={Hilgert, Joachim}, editor={Ali,
    S.T. and et al.}, year={2005} }'
  chicago: 'Hilgert, Joachim. “An Ergodic Arnold-Liouville Theorem for Symmetric Spaces.”
    In <i>Twenty Years of Bialowieza: A Mathematical Antology</i>, edited by S.T.
    Ali and et al. Singapore: World Scientific, 2005.'
  ieee: 'J. Hilgert, “An Ergodic Arnold-Liouville Theorem for Symmetric Spaces,” in
    <i>Twenty Years of Bialowieza: A Mathematical Antology</i>, S. T. Ali and et al.,
    Eds. Singapore: World Scientific, 2005.'
  mla: 'Hilgert, Joachim. “An Ergodic Arnold-Liouville Theorem for Symmetric Spaces.”
    <i>Twenty Years of Bialowieza: A Mathematical Antology</i>, edited by S.T. Ali
    and et al., World Scientific, 2005.'
  short: 'J. Hilgert, in: S.T. Ali, et al. (Eds.), Twenty Years of Bialowieza: A Mathematical
    Antology, World Scientific, Singapore, 2005.'
corporate_editor:
- et al.
date_created: 2024-02-19T08:13:30Z
date_updated: 2024-02-20T13:26:21Z
department:
- _id: '91'
editor:
- first_name: S.T.
  full_name: Ali, S.T.
  last_name: Ali
extern: '1'
language:
- iso: eng
place: Singapore
publication: 'Twenty Years of Bialowieza: A Mathematical Antology'
publication_status: published
publisher: World Scientific
status: public
title: An Ergodic Arnold-Liouville Theorem for Symmetric Spaces
type: book_chapter
user_id: '49063'
year: '2005'
...
---
_id: '51410'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: H.
  full_name: Movasati, H.
  last_name: Movasati
- first_name: D.
  full_name: Mayer, D.
  last_name: Mayer
citation:
  ama: Hilgert J, Movasati H, Mayer D. Transfer Operators for Gamma_0(n) and the Hecke
    Operators for the Period Functions of PSL(2,Z). <i>Math Proc Camb Phil Soc</i>.
    2005;139:81-116.
  apa: Hilgert, J., Movasati, H., &#38; Mayer, D. (2005). Transfer Operators for Gamma_0(n)
    and the Hecke Operators for the Period Functions of PSL(2,Z). <i>Math. Proc. Camb.
    Phil. Soc.</i>, <i>139</i>, 81–116.
  bibtex: '@article{Hilgert_Movasati_Mayer_2005, title={Transfer Operators for Gamma_0(n)
    and the Hecke Operators for the Period Functions of PSL(2,Z)}, volume={139}, journal={Math.
    Proc. Camb. Phil. Soc.}, author={Hilgert, Joachim and Movasati, H. and Mayer,
    D.}, year={2005}, pages={81–116} }'
  chicago: 'Hilgert, Joachim, H. Movasati, and D. Mayer. “Transfer Operators for Gamma_0(n)
    and the Hecke Operators for the Period Functions of PSL(2,Z).” <i>Math. Proc.
    Camb. Phil. Soc.</i> 139 (2005): 81–116.'
  ieee: J. Hilgert, H. Movasati, and D. Mayer, “Transfer Operators for Gamma_0(n)
    and the Hecke Operators for the Period Functions of PSL(2,Z),” <i>Math. Proc.
    Camb. Phil. Soc.</i>, vol. 139, pp. 81–116, 2005.
  mla: Hilgert, Joachim, et al. “Transfer Operators for Gamma_0(n) and the Hecke Operators
    for the Period Functions of PSL(2,Z).” <i>Math. Proc. Camb. Phil. Soc.</i>, vol.
    139, 2005, pp. 81–116.
  short: J. Hilgert, H. Movasati, D. Mayer, Math. Proc. Camb. Phil. Soc. 139 (2005)
    81–116.
date_created: 2024-02-19T07:07:51Z
date_updated: 2024-02-20T13:26:28Z
department:
- _id: '91'
extern: '1'
intvolume: '       139'
language:
- iso: eng
page: 81-116
publication: Math. Proc. Camb. Phil. Soc.
publication_status: published
status: public
title: Transfer Operators for Gamma_0(n) and the Hecke Operators for the Period Functions
  of PSL(2,Z)
type: journal_article
user_id: '49063'
volume: 139
year: '2005'
...
---
_id: '51578'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with
    Polynomial Growth (Birkhäuser, Boston, 2003). <i>JBer DMV</i>. 2005;107.
  apa: Hilgert, J. (2005). Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups
    with Polynomial Growth (Birkhäuser, Boston, 2003). In <i>JBer. DMV</i> (Vol. 107).
  bibtex: '@article{Hilgert_2005, title={Dungey, N., A. ter Elst, D. Robinson. Analysis
    on Lie Groups with Polynomial Growth (Birkhäuser, Boston, 2003)}, volume={107},
    journal={JBer. DMV}, author={Hilgert, Joachim}, year={2005} }'
  chicago: Hilgert, Joachim. “Dungey, N., A. Ter Elst, D. Robinson. Analysis on Lie
    Groups with Polynomial Growth (Birkhäuser, Boston, 2003).” <i>JBer. DMV</i>, 2005.
  ieee: J. Hilgert, “Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups
    with Polynomial Growth (Birkhäuser, Boston, 2003),” <i>JBer. DMV</i>, vol. 107.
    2005.
  mla: Hilgert, Joachim. “Dungey, N., A. Ter Elst, D. Robinson. Analysis on Lie Groups
    with Polynomial Growth (Birkhäuser, Boston, 2003).” <i>JBer. DMV</i>, vol. 107,
    2005.
  short: J. Hilgert, JBer. DMV 107 (2005).
date_created: 2024-02-20T12:20:40Z
date_updated: 2024-02-20T13:26:16Z
department:
- _id: '91'
extern: '1'
intvolume: '       107'
language:
- iso: eng
publication: JBer. DMV
publication_status: published
status: public
title: Dungey, N., A. ter Elst, D. Robinson. Analysis on Lie Groups with Polynomial
  Growth (Birkhäuser, Boston, 2003)
type: review
user_id: '49063'
volume: 107
year: '2005'
...
---
_id: '54339'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: 'Hesse K, H. Sloan I. Optimal order integration on the sphere. In: Li  T, Zhang
    P, eds. <i>Frontiers and Prospects of Contemporary Applied Mathematics</i>. Series
    in Contemporary Applied Mathematics CAM 6 . Higher Education Press und World Scientific;
    2005:59-70.'
  apa: Hesse, K., &#38; H. Sloan, I. (2005). Optimal order integration on the sphere.
    In T. Li  &#38; P. Zhang (Eds.), <i>Frontiers and Prospects of Contemporary Applied
    Mathematics</i> (pp. 59–70). Higher Education Press und World Scientific.
  bibtex: '@inbook{Hesse_H. Sloan_2005, series={Series in Contemporary Applied Mathematics
    CAM 6 }, title={Optimal order integration on the sphere}, booktitle={Frontiers
    and Prospects of Contemporary Applied Mathematics}, publisher={Higher Education
    Press und World Scientific}, author={Hesse, Kerstin and H. Sloan, Ian}, editor={Li
    , Tatsien and Zhang, Pingwen}, year={2005}, pages={59–70}, collection={Series
    in Contemporary Applied Mathematics CAM 6 } }'
  chicago: Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.”
    In <i>Frontiers and Prospects of Contemporary Applied Mathematics</i>, edited
    by Tatsien Li  and Pingwen Zhang, 59–70. Series in Contemporary Applied Mathematics
    CAM 6 . Higher Education Press und World Scientific, 2005.
  ieee: K. Hesse and I. H. Sloan, “Optimal order integration on the sphere,” in <i>Frontiers
    and Prospects of Contemporary Applied Mathematics</i>, T. Li  and P. Zhang, Eds.
    Higher Education Press und World Scientific, 2005, pp. 59–70.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Optimal Order Integration on the Sphere.”
    <i>Frontiers and Prospects of Contemporary Applied Mathematics</i>, edited by
    Tatsien Li  and Pingwen Zhang, Higher Education Press und World Scientific, 2005,
    pp. 59–70.
  short: 'K. Hesse, I. H. Sloan, in: T. Li , P. Zhang (Eds.), Frontiers and Prospects
    of Contemporary Applied Mathematics, Higher Education Press und World Scientific,
    2005, pp. 59–70.'
date_created: 2024-05-18T01:04:24Z
date_updated: 2024-05-20T06:31:00Z
department:
- _id: '10'
editor:
- first_name: Tatsien
  full_name: Li , Tatsien
  last_name: 'Li '
- first_name: Pingwen
  full_name: Zhang, Pingwen
  last_name: Zhang
language:
- iso: eng
page: 59-70
publication: Frontiers and Prospects of Contemporary Applied Mathematics
publication_status: published
publisher: Higher Education Press und World Scientific
series_title: 'Series in Contemporary Applied Mathematics CAM 6 '
status: public
title: Optimal order integration on the sphere
type: book_chapter
user_id: '71124'
year: '2005'
...
---
_id: '54334'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: Hesse K, H. Sloan I. Worst-case errors in a Sobolev space setting for cubature
    over the sphere S2. <i>Bulletin of the Australian Mathematical Society</i>. 2005;71:81-105.
  apa: Hesse, K., &#38; H. Sloan, I. (2005). Worst-case errors in a Sobolev space
    setting for cubature over the sphere S2. <i>Bulletin of the Australian Mathematical
    Society</i>, <i>71</i>, 81–105.
  bibtex: '@article{Hesse_H. Sloan_2005, title={Worst-case errors in a Sobolev space
    setting for cubature over the sphere S2}, volume={71}, journal={Bulletin of the
    Australian Mathematical Society}, author={Hesse, Kerstin and H. Sloan, Ian}, year={2005},
    pages={81–105} }'
  chicago: 'Hesse, Kerstin, and Ian H. Sloan. “Worst-Case Errors in a Sobolev Space
    Setting for Cubature over the Sphere S2.” <i>Bulletin of the Australian Mathematical
    Society</i> 71 (2005): 81–105.'
  ieee: K. Hesse and I. H. Sloan, “Worst-case errors in a Sobolev space setting for
    cubature over the sphere S2,” <i>Bulletin of the Australian Mathematical Society</i>,
    vol. 71, pp. 81–105, 2005.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Worst-Case Errors in a Sobolev Space Setting
    for Cubature over the Sphere S2.” <i>Bulletin of the Australian Mathematical Society</i>,
    vol. 71, 2005, pp. 81–105.
  short: K. Hesse, I. H. Sloan, Bulletin of the Australian Mathematical Society 71
    (2005) 81–105.
date_created: 2024-05-17T23:53:59Z
date_updated: 2024-05-20T06:18:32Z
department:
- _id: '10'
intvolume: '        71'
language:
- iso: eng
page: 81-105
publication: Bulletin of the Australian Mathematical Society
publication_status: published
status: public
title: Worst-case errors in a Sobolev space setting for cubature over the sphere S2
type: journal_article
user_id: '71124'
volume: 71
year: '2005'
...
---
_id: '54333'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian
  full_name: H. Sloan, Ian
  last_name: H. Sloan
citation:
  ama: Hesse K, H. Sloan I. Optimal lower bounds for cubature error on the sphere
    S2. <i>Journal of Complexity</i>. 2005;21:790-803.
  apa: Hesse, K., &#38; H. Sloan, I. (2005). Optimal lower bounds for cubature error
    on the sphere S2. <i>Journal of Complexity</i>, <i>21</i>, 790–803.
  bibtex: '@article{Hesse_H. Sloan_2005, title={Optimal lower bounds for cubature
    error on the sphere S2}, volume={21}, journal={Journal of Complexity}, author={Hesse,
    Kerstin and H. Sloan, Ian}, year={2005}, pages={790–803} }'
  chicago: 'Hesse, Kerstin, and Ian H. Sloan. “Optimal Lower Bounds for Cubature Error
    on the Sphere S2.” <i>Journal of Complexity</i> 21 (2005): 790–803.'
  ieee: K. Hesse and I. H. Sloan, “Optimal lower bounds for cubature error on the
    sphere S2,” <i>Journal of Complexity</i>, vol. 21, pp. 790–803, 2005.
  mla: Hesse, Kerstin, and Ian H. Sloan. “Optimal Lower Bounds for Cubature Error
    on the Sphere S2.” <i>Journal of Complexity</i>, vol. 21, 2005, pp. 790–803.
  short: K. Hesse, I. H. Sloan, Journal of Complexity 21 (2005) 790–803.
date_created: 2024-05-17T19:57:55Z
date_updated: 2024-05-20T06:17:57Z
department:
- _id: '10'
intvolume: '        21'
language:
- iso: eng
page: 790-803
publication: Journal of Complexity
publication_status: published
status: public
title: Optimal lower bounds for cubature error on the sphere S2
type: journal_article
user_id: '71124'
volume: 21
year: '2005'
...
---
_id: '39951'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Holger
  full_name: Rauhut, Holger
  last_name: Rauhut
citation:
  ama: Rösler M, Rauhut H. Radial Multiresolution in Dimension Three. <i>Constructive
    Approximation</i>. 2005;22(2):193-218. doi:<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>
  apa: Rösler, M., &#38; Rauhut, H. (2005). Radial Multiresolution in Dimension Three.
    <i>Constructive Approximation</i>, <i>22</i>(2), 193–218. <a href="https://doi.org/10.1007/s00365-004-0587-0">https://doi.org/10.1007/s00365-004-0587-0</a>
  bibtex: '@article{Rösler_Rauhut_2005, title={Radial Multiresolution in Dimension
    Three}, volume={22}, DOI={<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>},
    number={2}, journal={Constructive Approximation}, publisher={Springer Science
    and Business Media LLC}, author={Rösler, Margit and Rauhut, Holger}, year={2005},
    pages={193–218} }'
  chicago: 'Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension
    Three.” <i>Constructive Approximation</i> 22, no. 2 (2005): 193–218. <a href="https://doi.org/10.1007/s00365-004-0587-0">https://doi.org/10.1007/s00365-004-0587-0</a>.'
  ieee: 'M. Rösler and H. Rauhut, “Radial Multiresolution in Dimension Three,” <i>Constructive
    Approximation</i>, vol. 22, no. 2, pp. 193–218, 2005, doi: <a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>.'
  mla: Rösler, Margit, and Holger Rauhut. “Radial Multiresolution in Dimension Three.”
    <i>Constructive Approximation</i>, vol. 22, no. 2, Springer Science and Business
    Media LLC, 2005, pp. 193–218, doi:<a href="https://doi.org/10.1007/s00365-004-0587-0">10.1007/s00365-004-0587-0</a>.
  short: M. Rösler, H. Rauhut, Constructive Approximation 22 (2005) 193–218.
date_created: 2023-01-25T10:04:35Z
date_updated: 2023-01-26T17:44:30Z
department:
- _id: '555'
doi: 10.1007/s00365-004-0587-0
extern: '1'
intvolume: '        22'
issue: '2'
keyword:
- Computational Mathematics
- General Mathematics
- Analysis
language:
- iso: eng
page: 193-218
publication: Constructive Approximation
publication_identifier:
  issn:
  - 0176-4276
  - 1432-0940
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Radial Multiresolution in Dimension Three
type: journal_article
user_id: '93826'
volume: 22
year: '2005'
...
---
_id: '39949'
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: MICHAEL
  full_name: VOIT, MICHAEL
  last_name: VOIT
citation:
  ama: 'Rösler M, VOIT M. Deformations of convolution semigroups on commutative hypergroups.
    In: <i>Infinite Dimensional Harmonic Analysis III</i>. World Scientific Publ.;
    2005:249–264. doi:<a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>'
  apa: Rösler, M., &#38; VOIT, M. (2005). Deformations of convolution semigroups on
    commutative hypergroups. <i>Infinite Dimensional Harmonic Analysis III</i>, 249–264.
    <a href="https://doi.org/10.1142/9789812701503_0016">https://doi.org/10.1142/9789812701503_0016</a>
  bibtex: '@inproceedings{Rösler_VOIT_2005, title={Deformations of convolution semigroups
    on commutative hypergroups}, DOI={<a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>},
    booktitle={Infinite Dimensional Harmonic Analysis III}, publisher={World Scientific
    Publ.}, author={Rösler, Margit and VOIT, MICHAEL}, year={2005}, pages={249–264}
    }'
  chicago: Rösler, Margit, and MICHAEL VOIT. “Deformations of Convolution Semigroups
    on Commutative Hypergroups.” In <i>Infinite Dimensional Harmonic Analysis III</i>,
    249–264. World Scientific Publ., 2005. <a href="https://doi.org/10.1142/9789812701503_0016">https://doi.org/10.1142/9789812701503_0016</a>.
  ieee: 'M. Rösler and M. VOIT, “Deformations of convolution semigroups on commutative
    hypergroups,” in <i>Infinite Dimensional Harmonic Analysis III</i>, 2005, pp.
    249–264, doi: <a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>.'
  mla: Rösler, Margit, and MICHAEL VOIT. “Deformations of Convolution Semigroups on
    Commutative Hypergroups.” <i>Infinite Dimensional Harmonic Analysis III</i>, World
    Scientific Publ., 2005, pp. 249–264, doi:<a href="https://doi.org/10.1142/9789812701503_0016">10.1142/9789812701503_0016</a>.
  short: 'M. Rösler, M. VOIT, in: Infinite Dimensional Harmonic Analysis III, World
    Scientific Publ., 2005, pp. 249–264.'
date_created: 2023-01-25T09:59:21Z
date_updated: 2023-01-26T17:46:04Z
department:
- _id: '555'
doi: 10.1142/9789812701503_0016
extern: '1'
language:
- iso: eng
page: ' 249–264'
publication: Infinite Dimensional Harmonic Analysis III
publication_status: published
publisher: World Scientific Publ.
status: public
title: Deformations of convolution semigroups on commutative hypergroups
type: conference
user_id: '37390'
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'
...
