---
_id: '16293'
abstract:
- lang: eng
text: "Kernel transfer operators, which can be regarded as approximations of\r\ntransfer
operators such as the Perron-Frobenius or Koopman operator in\r\nreproducing kernel
Hilbert spaces, are defined in terms of covariance and\r\ncross-covariance operators
and have been shown to be closely related to the\r\nconditional mean embedding
framework developed by the machine learning\r\ncommunity. The goal of this paper
is to show how the dominant eigenfunctions of\r\nthese operators in combination
with gradient-based optimization techniques can\r\nbe used to detect long-lived
coherent patterns in high-dimensional time-series\r\ndata. The results will be
illustrated using video data and a fluid flow\r\nexample."
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Ingmar
full_name: Schuster, Ingmar
last_name: Schuster
citation:
ama: Klus S, Peitz S, Schuster I. Analyzing high-dimensional time-series data using
kernel transfer operator eigenfunctions. arXiv:180510118. 2018.
apa: Klus, S., Peitz, S., & Schuster, I. (2018). Analyzing high-dimensional
time-series data using kernel transfer operator eigenfunctions. ArXiv:1805.10118.
bibtex: '@article{Klus_Peitz_Schuster_2018, title={Analyzing high-dimensional time-series
data using kernel transfer operator eigenfunctions}, journal={arXiv:1805.10118},
author={Klus, Stefan and Peitz, Sebastian and Schuster, Ingmar}, year={2018} }'
chicago: Klus, Stefan, Sebastian Peitz, and Ingmar Schuster. “Analyzing High-Dimensional
Time-Series Data Using Kernel Transfer Operator Eigenfunctions.” ArXiv:1805.10118,
2018.
ieee: S. Klus, S. Peitz, and I. Schuster, “Analyzing high-dimensional time-series
data using kernel transfer operator eigenfunctions,” arXiv:1805.10118.
2018.
mla: Klus, Stefan, et al. “Analyzing High-Dimensional Time-Series Data Using Kernel
Transfer Operator Eigenfunctions.” ArXiv:1805.10118, 2018.
short: S. Klus, S. Peitz, I. Schuster, ArXiv:1805.10118 (2018).
date_created: 2020-03-13T12:44:12Z
date_updated: 2022-01-06T06:52:48Z
department:
- _id: '101'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/1805.10118.pdf
oa: '1'
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: arXiv:1805.10118
status: public
title: Analyzing high-dimensional time-series data using kernel transfer operator
eigenfunctions
type: preprint
user_id: '47427'
year: '2018'
...
---
_id: '10129'
abstract:
- lang: eng
text: There are many hard conjectures in graph theory, like Tutte's 5-flow conjecture,
and the 5-cycle double cover conjecture, which would be true in general if they
would be true for cubic graphs. Since most of them are trivially true for 3-edge-colorable
cubic graphs, cubic graphs which are not 3-edge-colorable, often called snarks,
play a key role in this context. Here, we survey parameters measuring how far
apart a non 3-edge-colorable graph is from being 3-edge-colorable. We study their
interrelation and prove some new results. Besides getting new insight into the
structure of snarks, we show that such measures give partial results with respect
to these important conjectures. The paper closes with a list of open problems
and conjectures.
article_number: P4.54
article_type: original
author:
- first_name: M. A.
full_name: Fiol, M. A.
last_name: Fiol
- first_name: Guiseppe
full_name: Mazzuoccolo, Guiseppe
last_name: Mazzuoccolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
citation:
ama: Fiol MA, Mazzuoccolo G, Steffen E. Measures of Edge-Uncolorability of Cubic
Graphs. The Electronic Journal of Combinatorics. 2018;25(4).
apa: Fiol, M. A., Mazzuoccolo, G., & Steffen, E. (2018). Measures of Edge-Uncolorability
of Cubic Graphs. The Electronic Journal of Combinatorics, 25(4).
bibtex: '@article{Fiol_Mazzuoccolo_Steffen_2018, title={Measures of Edge-Uncolorability
of Cubic Graphs}, volume={25}, number={4P4.54}, journal={The Electronic Journal
of Combinatorics}, author={Fiol, M. A. and Mazzuoccolo, Guiseppe and Steffen,
Eckhard}, year={2018} }'
chicago: Fiol, M. A., Guiseppe Mazzuoccolo, and Eckhard Steffen. “Measures of Edge-Uncolorability
of Cubic Graphs.” The Electronic Journal of Combinatorics 25, no. 4 (2018).
ieee: M. A. Fiol, G. Mazzuoccolo, and E. Steffen, “Measures of Edge-Uncolorability
of Cubic Graphs,” The Electronic Journal of Combinatorics, vol. 25, no.
4, 2018.
mla: Fiol, M. A., et al. “Measures of Edge-Uncolorability of Cubic Graphs.” The
Electronic Journal of Combinatorics, vol. 25, no. 4, P4.54, 2018.
short: M.A. Fiol, G. Mazzuoccolo, E. Steffen, The Electronic Journal of Combinatorics
25 (2018).
date_created: 2019-06-05T09:59:10Z
date_updated: 2022-01-06T06:50:30Z
department:
- _id: '542'
intvolume: ' 25'
issue: '4'
keyword:
- Cubic graph
- Tait coloring
- Snark
- Boole coloring
- Berge's conjecture
- Tutte's 5-flow conjecture
language:
- iso: eng
publication: The Electronic Journal of Combinatorics
status: public
title: Measures of Edge-Uncolorability of Cubic Graphs
type: journal_article
user_id: '15540'
volume: 25
year: '2018'
...
---
_id: '10132'
author:
- first_name: Ligang
full_name: Jin, Ligang
last_name: Jin
- first_name: Giuseppe
full_name: Mazzuoccolo, Giuseppe
last_name: Mazzuoccolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
citation:
ama: Jin L, Mazzuoccolo G, Steffen E. Cores, joins and the Fano-flow conjectures.
Discussiones Mathematicae Graph Theory. 2018;38:165-175. doi:10.7151/dmgt.1999
apa: Jin, L., Mazzuoccolo, G., & Steffen, E. (2018). Cores, joins and the Fano-flow
conjectures. Discussiones Mathematicae Graph Theory, 38, 165–175.
https://doi.org/10.7151/dmgt.1999
bibtex: '@article{Jin_Mazzuoccolo_Steffen_2018, title={Cores, joins and the Fano-flow
conjectures}, volume={38}, DOI={10.7151/dmgt.1999},
journal={Discussiones Mathematicae Graph Theory}, author={Jin, Ligang and Mazzuoccolo,
Giuseppe and Steffen, Eckhard}, year={2018}, pages={165–175} }'
chicago: 'Jin, Ligang, Giuseppe Mazzuoccolo, and Eckhard Steffen. “Cores, Joins
and the Fano-Flow Conjectures.” Discussiones Mathematicae Graph Theory
38 (2018): 165–75. https://doi.org/10.7151/dmgt.1999.'
ieee: L. Jin, G. Mazzuoccolo, and E. Steffen, “Cores, joins and the Fano-flow conjectures,”
Discussiones Mathematicae Graph Theory, vol. 38, pp. 165–175, 2018.
mla: Jin, Ligang, et al. “Cores, Joins and the Fano-Flow Conjectures.” Discussiones
Mathematicae Graph Theory, vol. 38, 2018, pp. 165–75, doi:10.7151/dmgt.1999.
short: L. Jin, G. Mazzuoccolo, E. Steffen, Discussiones Mathematicae Graph Theory
38 (2018) 165–175.
date_created: 2019-06-05T10:08:41Z
date_updated: 2022-01-06T06:50:30Z
department:
- _id: '542'
doi: 10.7151/dmgt.1999
intvolume: ' 38'
language:
- iso: eng
page: 165-175
publication: Discussiones Mathematicae Graph Theory
publication_identifier:
issn:
- 1234-3099
- 2083-5892
publication_status: published
status: public
title: Cores, joins and the Fano-flow conjectures
type: journal_article
user_id: '15540'
volume: 38
year: '2018'
...
---
_id: '10142'
author:
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
citation:
ama: Steffen E. Approximating Vizing’s independence number conjecture. Australasian
Journal of Combinatorics. 2018;71(1):153-160.
apa: Steffen, E. (2018). Approximating Vizing’s independence number conjecture.
Australasian Journal of Combinatorics, 71(1), 153–160.
bibtex: '@article{Steffen_2018, title={Approximating Vizing’s independence number
conjecture}, volume={71}, number={1}, journal={Australasian Journal of Combinatorics},
author={Steffen, Eckhard}, year={2018}, pages={153–160} }'
chicago: 'Steffen, Eckhard. “Approximating Vizing’s Independence Number Conjecture.”
Australasian Journal of Combinatorics 71, no. 1 (2018): 153–60.'
ieee: E. Steffen, “Approximating Vizing’s independence number conjecture,” Australasian
Journal of Combinatorics, vol. 71, no. 1, pp. 153–160, 2018.
mla: Steffen, Eckhard. “Approximating Vizing’s Independence Number Conjecture.”
Australasian Journal of Combinatorics, vol. 71, no. 1, 2018, pp. 153–60.
short: E. Steffen, Australasian Journal of Combinatorics 71 (2018) 153–160.
date_created: 2019-06-07T08:36:36Z
date_updated: 2022-01-06T06:50:31Z
department:
- _id: '542'
intvolume: ' 71'
issue: '1'
language:
- iso: eng
page: 153-160
publication: Australasian Journal of Combinatorics
publication_status: published
status: public
title: Approximating Vizing’s independence number conjecture
type: journal_article
user_id: '15540'
volume: 71
year: '2018'
...
---
_id: '31946'
author:
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
- first_name: D.
full_name: Bönig, D.
last_name: Bönig
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: N.
full_name: Korff, N.
last_name: Korff
- first_name: P.
full_name: Scherer, P.
last_name: Scherer
citation:
ama: 'Nührenbörger M, Bönig D, Häsel-Weide U, Korff N, Scherer P. Inklusiver Mathematikunterricht
- vernetzt zwischen Mathematikdidaktik und Sonderpädagogik. In: In: FD der M der
UP, ed. Beiträge zum Mathematikunterricht 2018. Vorträge zur Mathematikdidaktik
und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung
der GDM und DMV. ; 2018:103-104.'
apa: 'Nührenbörger, M., Bönig, D., Häsel-Weide, U., Korff, N., & Scherer, P.
(2018). Inklusiver Mathematikunterricht - vernetzt zwischen Mathematikdidaktik
und Sonderpädagogik. In F. D. der M. der U. P. In: (Ed.), Beiträge zum Mathematikunterricht
2018. Vorträge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik
auf der gemeinsamen Jahrestagung der GDM und DMV (pp. 103–104).'
bibtex: '@inproceedings{Nührenbörger_Bönig_Häsel-Weide_Korff_Scherer_2018, place={Münster},
title={Inklusiver Mathematikunterricht - vernetzt zwischen Mathematikdidaktik
und Sonderpädagogik}, booktitle={Beiträge zum Mathematikunterricht 2018. Vorträge
zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf
der gemeinsamen Jahrestagung der GDM und DMV}, author={Nührenbörger, M. and Bönig,
D. and Häsel-Weide, Uta and Korff, N. and Scherer, P.}, editor={In:, Fachgruppe
Didaktik der Mathematik der Universität Paderborn}, year={2018}, pages={103–104}
}'
chicago: Nührenbörger, M., D. Bönig, Uta Häsel-Weide, N. Korff, and P. Scherer.
“Inklusiver Mathematikunterricht - vernetzt zwischen Mathematikdidaktik und Sonderpädagogik.”
In Beiträge zum Mathematikunterricht 2018. Vorträge zur Mathematikdidaktik
und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung
der GDM und DMV, edited by Fachgruppe Didaktik der Mathematik der Universität
Paderborn In:, 103–4. Münster, 2018.
ieee: M. Nührenbörger, D. Bönig, U. Häsel-Weide, N. Korff, and P. Scherer, “Inklusiver
Mathematikunterricht - vernetzt zwischen Mathematikdidaktik und Sonderpädagogik,”
in Beiträge zum Mathematikunterricht 2018. Vorträge zur Mathematikdidaktik
und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung
der GDM und DMV, 2018, pp. 103–104.
mla: Nührenbörger, M., et al. “Inklusiver Mathematikunterricht - vernetzt zwischen
Mathematikdidaktik und Sonderpädagogik.” Beiträge zum Mathematikunterricht
2018. Vorträge zur Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik
auf der gemeinsamen Jahrestagung der GDM und DMV, edited by Fachgruppe Didaktik
der Mathematik der Universität Paderborn In:, 2018, pp. 103–04.
short: 'M. Nührenbörger, D. Bönig, U. Häsel-Weide, N. Korff, P. Scherer, in: F.D.
der M. der U.P. In: (Ed.), Beiträge zum Mathematikunterricht 2018. Vorträge zur
Mathematikdidaktik und zur Schnittstelle Mathematik/Mathematikdidaktik auf der
gemeinsamen Jahrestagung der GDM und DMV, Münster, 2018, pp. 103–104.'
conference:
name: 52. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2022-06-20T06:10:38Z
date_updated: 2022-06-20T06:14:33Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: Fachgruppe Didaktik der Mathematik der Universität Paderborn
full_name: In:, Fachgruppe Didaktik der Mathematik der Universität Paderborn
last_name: 'In:'
language:
- iso: ger
page: 103-104
place: Münster
publication: Beiträge zum Mathematikunterricht 2018. Vorträge zur Mathematikdidaktik
und zur Schnittstelle Mathematik/Mathematikdidaktik auf der gemeinsamen Jahrestagung
der GDM und DMV
publication_status: published
status: public
title: Inklusiver Mathematikunterricht - vernetzt zwischen Mathematikdidaktik und
Sonderpädagogik
type: conference
user_id: '85821'
year: '2018'
...
---
_id: '31953'
author:
- first_name: E.
full_name: Moser-Opitz, E.
last_name: Moser-Opitz
- first_name: U.
full_name: Grob, U.
last_name: Grob
- first_name: C.
full_name: Wittich, C.
last_name: Wittich
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Moser-Opitz E, Grob U, Wittich C, Häsel-Weide U, Nührenbörger M. Fostering
the Computation Competence of Low Achievers through Cooperative Learning in Inclusive
Classrooms: A Longitudinal Study. Learning Disabilities: A Contemporary Journal.
2018;(16):19-35.'
apa: 'Moser-Opitz, E., Grob, U., Wittich, C., Häsel-Weide, U., & Nührenbörger,
M. (2018). Fostering the Computation Competence of Low Achievers through Cooperative
Learning in Inclusive Classrooms: A Longitudinal Study. Learning Disabilities:
A Contemporary Journal, 16, 19–35.'
bibtex: '@article{Moser-Opitz_Grob_Wittich_Häsel-Weide_Nührenbörger_2018, title={Fostering
the Computation Competence of Low Achievers through Cooperative Learning in Inclusive
Classrooms: A Longitudinal Study}, number={16}, journal={Learning Disabilities:
A Contemporary Journal}, author={Moser-Opitz, E. and Grob, U. and Wittich, C.
and Häsel-Weide, Uta and Nührenbörger, M.}, year={2018}, pages={19–35} }'
chicago: 'Moser-Opitz, E., U. Grob, C. Wittich, Uta Häsel-Weide, and M. Nührenbörger.
“Fostering the Computation Competence of Low Achievers through Cooperative Learning
in Inclusive Classrooms: A Longitudinal Study.” Learning Disabilities: A Contemporary
Journal, no. 16 (2018): 19–35.'
ieee: 'E. Moser-Opitz, U. Grob, C. Wittich, U. Häsel-Weide, and M. Nührenbörger,
“Fostering the Computation Competence of Low Achievers through Cooperative Learning
in Inclusive Classrooms: A Longitudinal Study,” Learning Disabilities: A Contemporary
Journal, no. 16, pp. 19–35, 2018.'
mla: 'Moser-Opitz, E., et al. “Fostering the Computation Competence of Low Achievers
through Cooperative Learning in Inclusive Classrooms: A Longitudinal Study.” Learning
Disabilities: A Contemporary Journal, no. 16, 2018, pp. 19–35.'
short: 'E. Moser-Opitz, U. Grob, C. Wittich, U. Häsel-Weide, M. Nührenbörger, Learning
Disabilities: A Contemporary Journal (2018) 19–35.'
date_created: 2022-06-20T06:44:53Z
date_updated: 2022-06-20T06:44:57Z
department:
- _id: '98'
- _id: '543'
issue: '16'
language:
- iso: eng
page: 19-35
publication: 'Learning Disabilities: A Contemporary Journal'
publication_status: published
status: public
title: 'Fostering the Computation Competence of Low Achievers through Cooperative
Learning in Inclusive Classrooms: A Longitudinal Study'
type: journal_article
user_id: '85821'
year: '2018'
...
---
_id: '31952'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
- first_name: M.
full_name: Reinold, M.
last_name: Reinold
citation:
ama: Häsel-Weide U, Nührenbörger M, Reinold M. Förderkommentar Lernen zum Zahlenbuch
3. Klett; 2018.
apa: Häsel-Weide, U., Nührenbörger, M., & Reinold, M. (2018). Förderkommentar
Lernen zum Zahlenbuch 3. Klett.
bibtex: '@book{Häsel-Weide_Nührenbörger_Reinold_2018, place={Leipzig}, title={Förderkommentar
Lernen zum Zahlenbuch 3}, publisher={Klett}, author={Häsel-Weide, Uta and Nührenbörger,
M. and Reinold, M.}, year={2018} }'
chicago: 'Häsel-Weide, Uta, M. Nührenbörger, and M. Reinold. Förderkommentar
Lernen zum Zahlenbuch 3. Leipzig: Klett, 2018.'
ieee: 'U. Häsel-Weide, M. Nührenbörger, and M. Reinold, Förderkommentar Lernen
zum Zahlenbuch 3. Leipzig: Klett, 2018.'
mla: Häsel-Weide, Uta, et al. Förderkommentar Lernen zum Zahlenbuch 3. Klett,
2018.
short: U. Häsel-Weide, M. Nührenbörger, M. Reinold, Förderkommentar Lernen zum Zahlenbuch
3, Klett, Leipzig, 2018.
date_created: 2022-06-20T06:28:50Z
date_updated: 2022-06-20T06:29:00Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
page: '144'
place: Leipzig
publication_identifier:
isbn:
- 978-3122009977
publication_status: published
publisher: Klett
status: public
title: Förderkommentar Lernen zum Zahlenbuch 3
type: misc
user_id: '85821'
year: '2018'
...
---
_id: '31951'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
- first_name: M.
full_name: Reinold, M.
last_name: Reinold
citation:
ama: Häsel-Weide U, Nührenbörger M, Reinold M. Das Zahlenbuch 3. Förderheft.
Klett; 2018.
apa: Häsel-Weide, U., Nührenbörger, M., & Reinold, M. (2018). Das Zahlenbuch
3. Förderheft. Klett.
bibtex: '@book{Häsel-Weide_Nührenbörger_Reinold_2018, place={Stuttgart}, title={Das
Zahlenbuch 3. Förderheft.}, publisher={Klett}, author={Häsel-Weide, Uta and Nührenbörger,
M. and Reinold, M.}, year={2018} }'
chicago: 'Häsel-Weide, Uta, M. Nührenbörger, and M. Reinold. Das Zahlenbuch 3.
Förderheft. Stuttgart: Klett, 2018.'
ieee: 'U. Häsel-Weide, M. Nührenbörger, and M. Reinold, Das Zahlenbuch 3. Förderheft.
Stuttgart: Klett, 2018.'
mla: Häsel-Weide, Uta, et al. Das Zahlenbuch 3. Förderheft. Klett, 2018.
short: U. Häsel-Weide, M. Nührenbörger, M. Reinold, Das Zahlenbuch 3. Förderheft.,
Klett, Stuttgart, 2018.
date_created: 2022-06-20T06:25:18Z
date_updated: 2022-06-20T06:25:24Z
department:
- _id: '98'
- _id: '543'
language:
- iso: ger
page: '80'
place: Stuttgart
publication_identifier:
isbn:
- 978-3122009939
publication_status: published
publisher: Klett
status: public
title: Das Zahlenbuch 3. Förderheft.
type: misc
user_id: '85821'
year: '2018'
...
---
_id: '34664'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear
Diffusion. SIAM Journal on Mathematical Analysis. 2018;50(4):4087-4116.
doi:10.1137/17m1159488
apa: Black, T. (2018). Global Very Weak Solutions to a Chemotaxis-Fluid System with
Nonlinear Diffusion. SIAM Journal on Mathematical Analysis, 50(4),
4087–4116. https://doi.org/10.1137/17m1159488
bibtex: '@article{Black_2018, title={Global Very Weak Solutions to a Chemotaxis-Fluid
System with Nonlinear Diffusion}, volume={50}, DOI={10.1137/17m1159488},
number={4}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society
for Industrial & Applied Mathematics (SIAM)}, author={Black, Tobias}, year={2018},
pages={4087–4116} }'
chicago: 'Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System
with Nonlinear Diffusion.” SIAM Journal on Mathematical Analysis 50, no.
4 (2018): 4087–4116. https://doi.org/10.1137/17m1159488.'
ieee: 'T. Black, “Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear
Diffusion,” SIAM Journal on Mathematical Analysis, vol. 50, no. 4, pp.
4087–4116, 2018, doi: 10.1137/17m1159488.'
mla: Black, Tobias. “Global Very Weak Solutions to a Chemotaxis-Fluid System with
Nonlinear Diffusion.” SIAM Journal on Mathematical Analysis, vol. 50, no.
4, Society for Industrial & Applied Mathematics (SIAM), 2018, pp. 4087–116,
doi:10.1137/17m1159488.
short: T. Black, SIAM Journal on Mathematical Analysis 50 (2018) 4087–4116.
date_created: 2022-12-21T09:47:01Z
date_updated: 2022-12-21T10:04:57Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1137/17m1159488
intvolume: ' 50'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
- Analysis
language:
- iso: eng
page: 4087-4116
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
issn:
- 0036-1410
- 1095-7154
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
type: journal_article
user_id: '23686'
volume: 50
year: '2018'
...
---
_id: '34666'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes
system in 2D. Journal of Differential Equations. 2018;265(5):2296-2339.
doi:10.1016/j.jde.2018.04.035
apa: Black, T. (2018). Eventual smoothness of generalized solutions to a singular
chemotaxis-Stokes system in 2D. Journal of Differential Equations, 265(5),
2296–2339. https://doi.org/10.1016/j.jde.2018.04.035
bibtex: '@article{Black_2018, title={Eventual smoothness of generalized solutions
to a singular chemotaxis-Stokes system in 2D}, volume={265}, DOI={10.1016/j.jde.2018.04.035},
number={5}, journal={Journal of Differential Equations}, publisher={Elsevier BV},
author={Black, Tobias}, year={2018}, pages={2296–2339} }'
chicago: 'Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular
Chemotaxis-Stokes System in 2D.” Journal of Differential Equations 265,
no. 5 (2018): 2296–2339. https://doi.org/10.1016/j.jde.2018.04.035.'
ieee: 'T. Black, “Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes
system in 2D,” Journal of Differential Equations, vol. 265, no. 5, pp.
2296–2339, 2018, doi: 10.1016/j.jde.2018.04.035.'
mla: Black, Tobias. “Eventual Smoothness of Generalized Solutions to a Singular
Chemotaxis-Stokes System in 2D.” Journal of Differential Equations, vol.
265, no. 5, Elsevier BV, 2018, pp. 2296–339, doi:10.1016/j.jde.2018.04.035.
short: T. Black, Journal of Differential Equations 265 (2018) 2296–2339.
date_created: 2022-12-21T09:47:19Z
date_updated: 2022-12-21T10:05:11Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jde.2018.04.035
intvolume: ' 265'
issue: '5'
keyword:
- Analysis
- Applied Mathematics
language:
- iso: eng
page: 2296-2339
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes
system in 2D
type: journal_article
user_id: '23686'
volume: 265
year: '2018'
...
---
_id: '34667'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: Black T. Global solvability of chemotaxis–fluid systems with nonlinear diffusion
and matrix-valued sensitivities in three dimensions. Nonlinear Analysis.
2018;180:129-153. doi:10.1016/j.na.2018.10.003
apa: Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear
diffusion and matrix-valued sensitivities in three dimensions. Nonlinear Analysis,
180, 129–153. https://doi.org/10.1016/j.na.2018.10.003
bibtex: '@article{Black_2018, title={Global solvability of chemotaxis–fluid systems
with nonlinear diffusion and matrix-valued sensitivities in three dimensions},
volume={180}, DOI={10.1016/j.na.2018.10.003},
journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Black, Tobias},
year={2018}, pages={129–153} }'
chicago: 'Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear
Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” Nonlinear Analysis
180 (2018): 129–53. https://doi.org/10.1016/j.na.2018.10.003.'
ieee: 'T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear
diffusion and matrix-valued sensitivities in three dimensions,” Nonlinear Analysis,
vol. 180, pp. 129–153, 2018, doi: 10.1016/j.na.2018.10.003.'
mla: Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear
Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” Nonlinear Analysis,
vol. 180, Elsevier BV, 2018, pp. 129–53, doi:10.1016/j.na.2018.10.003.
short: T. Black, Nonlinear Analysis 180 (2018) 129–153.
date_created: 2022-12-21T09:47:30Z
date_updated: 2022-12-21T10:05:04Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.na.2018.10.003
intvolume: ' 180'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
page: 129-153
publication: Nonlinear Analysis
publication_identifier:
issn:
- 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: Global solvability of chemotaxis–fluid systems with nonlinear diffusion and
matrix-valued sensitivities in three dimensions
type: journal_article
user_id: '23686'
volume: 180
year: '2018'
...
---
_id: '8753'
abstract:
- lang: eng
text: In a wide range of applications it is desirable to optimally control a dynamical
system with respect to concurrent, potentially competing goals. This gives rise
to a multiobjective optimal control problem where, instead of computing a single
optimal solution, the set of optimal compromises, the so-called Pareto set, has
to be approximated. When the problem under consideration is described by a partial
differential equation (PDE), as is the case for fluid flow, the computational
cost rapidly increases and makes its direct treatment infeasible. Reduced order
modeling is a very popular method to reduce the computational cost, in particular
in a multi query context such as uncertainty quantification, parameter estimation
or optimization. In this article, we show how to combine reduced order modeling
and multiobjective optimal control techniques in order to efficiently solve multiobjective
optimal control problems constrained by PDEs. We consider a global, derivative
free optimization method as well as a local, gradient-based approach for which
the optimality system is derived in two different ways. The methods are compared
with regard to the solution quality as well as the computational effort and they
are illustrated using the example of the flow around a cylinder and a backward-facing-step
channel flow.
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Peitz S, Ober-Blöbaum S, Dellnitz M. Multiobjective Optimal Control Methods
for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae
Mathematicae. 2018;161(1):171–199. doi:10.1007/s10440-018-0209-7
apa: Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2018). Multiobjective Optimal
Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.
Acta Applicandae Mathematicae, 161(1), 171–199. https://doi.org/10.1007/s10440-018-0209-7
bibtex: '@article{Peitz_Ober-Blöbaum_Dellnitz_2018, title={Multiobjective Optimal
Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling},
volume={161}, DOI={10.1007/s10440-018-0209-7},
number={1}, journal={Acta Applicandae Mathematicae}, author={Peitz, Sebastian
and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2018}, pages={171–199} }'
chicago: 'Peitz, Sebastian, Sina Ober-Blöbaum, and Michael Dellnitz. “Multiobjective
Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.”
Acta Applicandae Mathematicae 161, no. 1 (2018): 171–199. https://doi.org/10.1007/s10440-018-0209-7.'
ieee: 'S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control
Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta
Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2018, doi: 10.1007/s10440-018-0209-7.'
mla: Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes
Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae,
vol. 161, no. 1, 2018, pp. 171–199, doi:10.1007/s10440-018-0209-7.
short: S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161
(2018) 171–199.
date_created: 2019-03-29T13:30:41Z
date_updated: 2022-01-21T10:01:41Z
department:
- _id: '101'
doi: 10.1007/s10440-018-0209-7
intvolume: ' 161'
issue: '1'
language:
- iso: eng
page: 171–199
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Acta Applicandae Mathematicae
publication_identifier:
issn:
- 0167-8019
- 1572-9036
publication_status: published
status: public
title: Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using
Reduced Order Modeling
type: journal_article
user_id: '15694'
volume: 161
year: '2018'
...
---
_id: '29425'
author:
- first_name: F.
full_name: Jiménez, F.
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Jiménez F, Ober-Blöbaum S. Necessary optimality conditions for optimally controlled
dissipative mechanical systems modelled through fractional derivatives. In: 6th
European Conference on Computational Mechanics. ; 2018.'
apa: Jiménez, F., & Ober-Blöbaum, S. (2018). Necessary optimality conditions
for optimally controlled dissipative mechanical systems modelled through fractional
derivatives. 6th European Conference on Computational Mechanics.
bibtex: '@inproceedings{Jiménez_Ober-Blöbaum_2018, title={Necessary optimality conditions
for optimally controlled dissipative mechanical systems modelled through fractional
derivatives}, booktitle={6th European Conference on Computational Mechanics},
author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2018} }'
chicago: Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for
Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional
Derivatives.” In 6th European Conference on Computational Mechanics, 2018.
ieee: F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally
controlled dissipative mechanical systems modelled through fractional derivatives,”
2018.
mla: Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally
Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.”
6th European Conference on Computational Mechanics, 2018.
short: 'F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational
Mechanics, 2018.'
conference:
end_date: 2018-06-15
start_date: 2018-06-11
date_created: 2022-01-18T14:49:40Z
date_updated: 2022-01-21T13:51:41Z
department:
- _id: '636'
language:
- iso: eng
publication: 6th European Conference on Computational Mechanics
status: public
title: Necessary optimality conditions for optimally controlled dissipative mechanical
systems modelled through fractional derivatives
type: conference
user_id: '15694'
year: '2018'
...
---
_id: '29427'
author:
- first_name: F.
full_name: Jiménez, F.
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Jiménez F, Ober-Blöbaum S. A fractional variational approach for modelling
dissipative mechanical systems continuous and discrete settings. In: IFAC-PapersOnLine,
ed. 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
LHMNC 2018. Vol 51(3). ; 2018:50-55.'
apa: 'Jiménez, F., & Ober-Blöbaum, S. (2018). A fractional variational approach
for modelling dissipative mechanical systems continuous and discrete settings.
In IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian
Methods for Nonlinear Control LHMNC 2018: Vol. 51(3) (pp. 50–55).'
bibtex: '@inproceedings{Jiménez_Ober-Blöbaum_2018, title={A fractional variational
approach for modelling dissipative mechanical systems continuous and discrete
settings}, volume={51(3)}, booktitle={6th IFAC Workshop on Lagrangian and Hamiltonian
Methods for Nonlinear Control LHMNC 2018}, author={Jiménez, F. and Ober-Blöbaum,
Sina}, editor={IFAC-PapersOnLine}, year={2018}, pages={50–55} }'
chicago: Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach
for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.”
In 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
LHMNC 2018, edited by IFAC-PapersOnLine, 51(3):50–55, 2018.
ieee: F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling
dissipative mechanical systems continuous and discrete settings,” in 6th IFAC
Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018,
2018, vol. 51(3), pp. 50–55.
mla: Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for
Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” 6th
IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC
2018, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55.
short: 'F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop
on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018,
pp. 50–55.'
corporate_editor:
- IFAC-PapersOnLine
date_created: 2022-01-18T14:55:51Z
date_updated: 2022-01-21T13:53:24Z
department:
- _id: '636'
language:
- iso: eng
page: 50-55
publication: 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear
Control LHMNC 2018
status: public
title: A fractional variational approach for modelling dissipative mechanical systems
continuous and discrete settings
type: conference
user_id: '15694'
volume: 51(3)
year: '2018'
...
---
_id: '31371'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
citation:
ama: 'Hoffmann M. Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur
„Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim
Einsatz solcher Aufgaben. In: Fachgruppe Didaktik der Mathematik der Universität
Paderborn, ed. Beiträge zum Mathematikunterricht 2018. WTM-Verlag; 2018:815-818.
doi:10.17877/DE290R-19412'
apa: 'Hoffmann, M. (2018). Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel
zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim
Einsatz solcher Aufgaben. In Fachgruppe Didaktik der Mathematik der Universität
Paderborn (Ed.), Beiträge zum Mathematikunterricht 2018 (pp. 815–818).
WTM-Verlag. https://doi.org/10.17877/DE290R-19412'
bibtex: '@inproceedings{Hoffmann_2018, place={Münster}, title={Schnittstellenaufgaben
im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen
zu möglichen Problemen beim Einsatz solcher Aufgaben}, DOI={10.17877/DE290R-19412},
booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM-Verlag}, author={Hoffmann,
Max}, editor={Fachgruppe Didaktik der Mathematik der Universität Paderborn}, year={2018},
pages={815–818} }'
chicago: 'Hoffmann, Max. “Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel
zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim
Einsatz solcher Aufgaben.” In Beiträge zum Mathematikunterricht 2018, edited
by Fachgruppe Didaktik der Mathematik der Universität Paderborn, 815–18. Münster:
WTM-Verlag, 2018. https://doi.org/10.17877/DE290R-19412.'
ieee: 'M. Hoffmann, “Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur
„Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim
Einsatz solcher Aufgaben,” in Beiträge zum Mathematikunterricht 2018, 2018,
pp. 815–818, doi: 10.17877/DE290R-19412.'
mla: 'Hoffmann, Max. “Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel
zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim
Einsatz solcher Aufgaben.” Beiträge zum Mathematikunterricht 2018, edited
by Fachgruppe Didaktik der Mathematik der Universität Paderborn, WTM-Verlag, 2018,
pp. 815–18, doi:10.17877/DE290R-19412.'
short: 'M. Hoffmann, in: Fachgruppe Didaktik der Mathematik der Universität Paderborn
(Ed.), Beiträge zum Mathematikunterricht 2018, WTM-Verlag, Münster, 2018, pp.
815–818.'
corporate_editor:
- Fachgruppe Didaktik der Mathematik der Universität Paderborn
date_created: 2022-05-22T14:36:18Z
date_updated: 2022-05-22T14:38:42Z
department:
- _id: '97'
doi: 10.17877/DE290R-19412
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://eldorado.tu-dortmund.de/handle/2003/37417?locale=de
oa: '1'
page: 815-818
place: Münster
publication: Beiträge zum Mathematikunterricht 2018
publication_status: published
publisher: WTM-Verlag
status: public
title: 'Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“
und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben'
type: conference
user_id: '32202'
year: '2018'
...
---
_id: '31375'
author:
- first_name: Daniel
full_name: Grieser, Daniel
last_name: Grieser
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
- first_name: Wolfram
full_name: Koepf, Wolfram
last_name: Koepf
- first_name: Jürg
full_name: Kramer, Jürg
last_name: Kramer
citation:
ama: Grieser D, Hoffmann M, Koepf W, Kramer J. Anfängervorlesungen. Der Mathematikunterricht.
2018;64 (5):48–54.
apa: Grieser, D., Hoffmann, M., Koepf, W., & Kramer, J. (2018). Anfängervorlesungen.
Der Mathematikunterricht, 64 (5), 48–54.
bibtex: '@article{Grieser_Hoffmann_Koepf_Kramer_2018, title={Anfängervorlesungen},
volume={64 (5)}, journal={Der Mathematikunterricht}, author={Grieser, Daniel and
Hoffmann, Max and Koepf, Wolfram and Kramer, Jürg}, year={2018}, pages={48–54}
}'
chicago: 'Grieser, Daniel, Max Hoffmann, Wolfram Koepf, and Jürg Kramer. “Anfängervorlesungen.”
Der Mathematikunterricht 64 (5) (2018): 48–54.'
ieee: D. Grieser, M. Hoffmann, W. Koepf, and J. Kramer, “Anfängervorlesungen,” Der
Mathematikunterricht, vol. 64 (5), pp. 48–54, 2018.
mla: Grieser, Daniel, et al. “Anfängervorlesungen.” Der Mathematikunterricht,
vol. 64 (5), 2018, pp. 48–54.
short: D. Grieser, M. Hoffmann, W. Koepf, J. Kramer, Der Mathematikunterricht 64
(5) (2018) 48–54.
date_created: 2022-05-22T14:54:04Z
date_updated: 2022-05-22T14:57:14Z
department:
- _id: '97'
language:
- iso: ger
page: 48–54
publication: Der Mathematikunterricht
publication_status: published
status: public
title: Anfängervorlesungen
type: journal_article
user_id: '32202'
volume: 64 (5)
year: '2018'
...
---
_id: '31382'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
citation:
ama: 'Hoffmann M. Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit
GeoGebra und anderen Werkzeugen. Mathematische Semesterberichte. 2018;65:299–301.
doi:10.1007/s00591-018-0222-y'
apa: 'Hoffmann, M. (2018). Rezension: Dörte Haftendorn: Kurven erkunden und verstehen
– Mit GeoGebra und anderen Werkzeugen. In Mathematische Semesterberichte
(Vol. 65, pp. 299–301). https://doi.org/10.1007/s00591-018-0222-y'
bibtex: '@article{Hoffmann_2018, title={Rezension: Dörte Haftendorn: Kurven erkunden
und verstehen – Mit GeoGebra und anderen Werkzeugen}, volume={65}, DOI={10.1007/s00591-018-0222-y},
journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2018},
pages={299–301} }'
chicago: 'Hoffmann, Max. “Rezension: Dörte Haftendorn: Kurven erkunden und verstehen
– Mit GeoGebra und anderen Werkzeugen.” Mathematische Semesterberichte,
2018. https://doi.org/10.1007/s00591-018-0222-y.'
ieee: 'M. Hoffmann, “Rezension: Dörte Haftendorn: Kurven erkunden und verstehen
– Mit GeoGebra und anderen Werkzeugen,” Mathematische Semesterberichte,
vol. 65. pp. 299–301, 2018, doi: 10.1007/s00591-018-0222-y.'
mla: 'Hoffmann, Max. “Rezension: Dörte Haftendorn: Kurven erkunden und verstehen
– Mit GeoGebra und anderen Werkzeugen.” Mathematische Semesterberichte,
vol. 65, 2018, pp. 299–301, doi:10.1007/s00591-018-0222-y.'
short: M. Hoffmann, Mathematische Semesterberichte 65 (2018) 299–301.
date_created: 2022-05-22T15:15:33Z
date_updated: 2022-05-22T15:58:46Z
department:
- _id: '97'
doi: 10.1007/s00591-018-0222-y
intvolume: ' 65'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/article/10.1007/s00591-018-0222-y
page: 299–301
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra
und anderen Werkzeugen'
type: review
user_id: '32202'
volume: 65
year: '2018'
...
---
_id: '31380'
citation:
ama: 'Greefrath G, Hoffmann M, Koepf W, eds. Der Mathematikunterricht 64 (5):
Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir
mit ihr um?; 2018.'
apa: 'Greefrath, G., Hoffmann, M., & Koepf, W. (Eds.). (2018). Der Mathematikunterricht
64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen
wir mit ihr um?'
bibtex: '@book{Greefrath_Hoffmann_Koepf_2018, title={Der Mathematikunterricht 64
(5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen
wir mit ihr um?}, year={2018} }'
chicago: 'Greefrath, Gilbert, Max Hoffmann, and Wolfram Koepf, eds. Der Mathematikunterricht
64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen
wir mit ihr um?, 2018.'
ieee: 'G. Greefrath, M. Hoffmann, and W. Koepf, Eds., Der Mathematikunterricht
64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen
wir mit ihr um? 2018.'
mla: 'Greefrath, Gilbert, et al., editors. Der Mathematikunterricht 64 (5): Mathematik
in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?
2018.'
short: 'G. Greefrath, M. Hoffmann, W. Koepf, eds., Der Mathematikunterricht 64 (5):
Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir
mit ihr um?, 2018.'
date_created: 2022-05-22T15:05:58Z
date_updated: 2022-05-22T16:00:16Z
department:
- _id: '97'
editor:
- first_name: Gilbert
full_name: Greefrath, Gilbert
last_name: Greefrath
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
- first_name: Wolfram
full_name: Koepf, Wolfram
last_name: Koepf
language:
- iso: ger
publication_status: published
related_material:
link:
- relation: table_of_contents
url: https://www.friedrich-verlag.de/shop/mathematik-in-schule-und-hochschule-524203
status: public
title: 'Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie
groß ist die Lücke und wie gehen wir mit ihr um?'
type: book_editor
user_id: '32202'
year: '2018'
...
---
_id: '33335'
abstract:
- lang: eng
text: For a class of one-dimensional autoregressive sequences (Xn), we consider
the tail behaviour of the stopping time T0=min{n≥1:Xn≤0}. We discuss existing
general analytical approaches to this and related problems and propose a new one,
which is based on a renewal-type decomposition for the moment generating function
of T0 and on the analytical Fredholm alternative. Using this method, we show that
Px(T0=n)∼V(x)Rn0 for some 0Journal of Theoretical Probability. 2018;33:65–102. doi:https://link.springer.com/article/10.1007/s10959-018-0850-0
apa: Hinrichs, G., Kolb, M., & Wachtel, V. (2018). Persistence of one-dimensional
AR(1)-processes. Journal of Theoretical Probability, 33, 65–102.
https://link.springer.com/article/10.1007/s10959-018-0850-0
bibtex: '@article{Hinrichs_Kolb_Wachtel_2018, title={Persistence of one-dimensional
AR(1)-processes}, volume={33}, DOI={https://link.springer.com/article/10.1007/s10959-018-0850-0},
journal={Journal of Theoretical Probability}, publisher={Springer Science + Business
Media}, author={Hinrichs, Günter and Kolb, Martin and Wachtel, Vitali}, year={2018},
pages={65–102} }'
chicago: 'Hinrichs, Günter, Martin Kolb, and Vitali Wachtel. “Persistence of One-Dimensional
AR(1)-Processes.” Journal of Theoretical Probability 33 (2018): 65–102.
https://link.springer.com/article/10.1007/s10959-018-0850-0.'
ieee: 'G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of one-dimensional AR(1)-processes,”
Journal of Theoretical Probability, vol. 33, pp. 65–102, 2018, doi: https://link.springer.com/article/10.1007/s10959-018-0850-0.'
mla: Hinrichs, Günter, et al. “Persistence of One-Dimensional AR(1)-Processes.”
Journal of Theoretical Probability, vol. 33, Springer Science + Business
Media, 2018, pp. 65–102, doi:https://link.springer.com/article/10.1007/s10959-018-0850-0.
short: G. Hinrichs, M. Kolb, V. Wachtel, Journal of Theoretical Probability 33 (2018)
65–102.
date_created: 2022-09-12T07:50:38Z
date_updated: 2022-09-12T07:52:44Z
department:
- _id: '96'
doi: https://link.springer.com/article/10.1007/s10959-018-0850-0
intvolume: ' 33'
language:
- iso: eng
page: 65–102
publication: Journal of Theoretical Probability
publication_status: published
publisher: Springer Science + Business Media
status: public
title: Persistence of one-dimensional AR(1)-processes
type: journal_article
user_id: '85821'
volume: 33
year: '2018'
...
---
_id: '45392'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
citation:
ama: 'Dröse J. Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie
zur Wirksamkeit eines Förderkonzepts. In: Fachgruppe Didaktik der Mathematik der
Universität Paderborn, ed. Beiträge zum Mathematikunterricht 2018. WTM;
2018:469-472.'
apa: Dröse, J. (2018). Textaufgaben strategisch und sprachlich bewältigen lernen
– Pilotstudie zur Wirksamkeit eines Förderkonzepts. In Fachgruppe Didaktik der
Mathematik der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht
2018 (pp. 469–472). WTM.
bibtex: '@inproceedings{Dröse_2018, place={Münster}, title={Textaufgaben strategisch
und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts},
booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM}, author={Dröse,
Jennifer}, editor={Fachgruppe Didaktik der Mathematik der Universität Paderborn},
year={2018}, pages={469–472} }'
chicago: 'Dröse, Jennifer. “Textaufgaben strategisch und sprachlich bewältigen lernen
– Pilotstudie zur Wirksamkeit eines Förderkonzepts.” In Beiträge zum Mathematikunterricht
2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn,
469–72. Münster: WTM, 2018.'
ieee: J. Dröse, “Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie
zur Wirksamkeit eines Förderkonzepts,” in Beiträge zum Mathematikunterricht
2018, 2018, pp. 469–472.
mla: Dröse, Jennifer. “Textaufgaben strategisch und sprachlich bewältigen lernen
– Pilotstudie zur Wirksamkeit eines Förderkonzepts.” Beiträge zum Mathematikunterricht
2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn,
WTM, 2018, pp. 469–72.
short: 'J. Dröse, in: Fachgruppe Didaktik der Mathematik der Universität Paderborn
(Ed.), Beiträge zum Mathematikunterricht 2018, WTM, Münster, 2018, pp. 469–472.'
corporate_editor:
- Fachgruppe Didaktik der Mathematik der Universität Paderborn
date_created: 2023-05-31T08:15:12Z
date_updated: 2023-11-02T08:10:36Z
department:
- _id: '98'
extern: '1'
language:
- iso: ger
page: 469-472
place: Münster
publication: Beiträge zum Mathematikunterricht 2018
publisher: WTM
status: public
title: Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur
Wirksamkeit eines Förderkonzepts
type: conference
user_id: '85820'
year: '2018'
...