@inproceedings{29424,
author = {{Cresson, J. and Jiménez, F. and Ober-Blöbaum, Sina}},
booktitle = {{24th International Symposium on Mathematical Theory of Networks and Systems}},
title = {{{Modelling of the convection-diffusion equation through fractional restricted calculus of variations}}},
year = {{2020}},
}
@article{29545,
author = {{Jean, Frédéric and Maslovskaya, Sofya and Zelenko, Igor}},
issn = {{0046-5755}},
journal = {{Geometriae Dedicata}},
keywords = {{Geometry and Topology}},
number = {{1}},
pages = {{295--314}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry}}},
doi = {{10.1007/s10711-020-00581-z}},
volume = {{213}},
year = {{2020}},
}
@inproceedings{29546,
author = {{Maslovskaya, Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc, Jean-Luc and Pomet, Jean-Baptiste}},
title = {{{The turnpike property in maximization of microbial metabolite production}}},
year = {{2020}},
}
@article{31264,
abstract = {{AbstractGiven a closed orientable hyperbolic manifold of dimension $$\ne 3$$
≠
3
we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.
}},
author = {{Küster, Benjamin and Weich, Tobias}},
issn = {{0010-3616}},
journal = {{Communications in Mathematical Physics}},
keywords = {{Mathematical Physics, Statistical and Nonlinear Physics}},
number = {{2}},
pages = {{917--941}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Pollicott-Ruelle Resonant States and Betti Numbers}}},
doi = {{10.1007/s00220-020-03793-2}},
volume = {{378}},
year = {{2020}},
}
@inproceedings{31372,
author = {{Hoffmann, Max}},
booktitle = {{Beiträge zum Mathematikunterricht 2020}},
editor = {{Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz}},
pages = {{1353--1356}},
publisher = {{WTM-Verlag}},
title = {{{Schnittstellenaktivitäten zum Kongruenzsatz WSW}}},
doi = {{10.17877/DE290R-21368}},
year = {{2020}},
}
@misc{31386,
author = {{Hoffmann, Max}},
booktitle = {{Mathematische Semesterberichte}},
pages = {{119–121}},
title = {{{Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy of Integers and Permutations}}},
doi = {{10.1007/s00591-019-00269-w}},
volume = {{67}},
year = {{2020}},
}
@misc{31384,
author = {{Hoffmann, Max}},
booktitle = {{Mathematische Semesterberichte}},
pages = {{115–116}},
title = {{{Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius zu Penrose}}},
doi = {{10.1007/s00591-019-00264-1}},
volume = {{67}},
year = {{2020}},
}
@book{31381,
editor = {{Hoffmann, Max}},
title = {{{Der Mathematikunterricht 66 (6): Geometrie in Schule und Lehramtsausbildung – ein Nachwuchsheft}}},
year = {{2020}},
}
@inbook{31551,
author = {{Häsel-Weide, Uta and Nührenbörger, Marcus}},
booktitle = {{Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen}},
editor = {{Hecker, Ulrich and Lassek, Maresi and Ramseger, Jörg}},
pages = {{108--118}},
publisher = {{Grundschulverband}},
title = {{{Tragfähige Grundlagen}}},
volume = {{Band 150}},
year = {{2020}},
}
@inbook{31552,
author = {{Heckmann, Lara and Häsel-Weide, Uta}},
booktitle = {{Beiträge zum Mathematikunterricht 2020}},
editor = {{Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz}},
isbn = {{978-3-95987-139-6}},
pages = {{393--396}},
publisher = {{WTM Verlag}},
title = {{{Aufgaben für den inklusiven Mathematikunterricht - aus der Sicht von Lehrkräften.}}},
year = {{2020}},
}
@inbook{31549,
author = {{Häsel-Weide, Uta}},
booktitle = {{Didaktik des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis}},
editor = {{Heimlich, Ulrich and Wember, Franz B.}},
isbn = {{978-3170355699}},
pages = {{308--318}},
publisher = {{W. Kohlhammer GmbH}},
title = {{{Sachrechnen}}},
year = {{2020}},
}
@inbook{31550,
author = {{Häsel-Weide, Uta}},
booktitle = {{Handbuch Lehrerinnen- und Lehrerbildung}},
editor = {{Cramer, Colin and König, Johannes and Rothland, Martin and Blömeke, Sigrid}},
isbn = {{978-3-8252-5473-5}},
pages = {{462--469}},
publisher = {{Julius Klinkhardt}},
title = {{{Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren von Mathematik in der Grundschule.}}},
year = {{2020}},
}
@misc{33273,
abstract = {{Dieses Lernangebot widmet sich der linearen Algebra als dem Teil der Mathematik, der neben der Optimierung und der Stochastik die Grundlage für praktisch alle Entwicklungen im Bereich Künstliche Intelligenz (KI) darstellt. Das Fach ist jedoch für Anfänger meist ungewohnt abstrakt und wird daher oft als besonders schwierig und unanschaulich empfunden. In diesem Kurs wird das Erlernen mathematischer Kenntnisse in linearer Algebra verknüpft mit dem aktuellen und faszinierenden Anwendungsfeld der künstlichen neuronalen Netze (KNN). Daraus ergeben sich in natürlicher Weise Anwendungsbeispiele, an denen die wesentlichen Konzepte der linearen Algebra erklärt werden können.
Behandelte Themen sind:
Der Vektorraum der reellen Zahlentupel, reelle Vektorräume allgemein
Lineare Abbildungen
Matrizen
Koordinaten und darstellende Matrizen
Lineare Gleichungssysteme, Gaußalgorithmus
Determinante
Ein Ausblick auf nichtlineare Techniken, die für neuronale Netzwerke relevant sind.}},
author = {{Schramm, Thomas and Gasser, Ingenuin and Schwenker, Sören and Seiler, Ruedi and Lohse, Alexander and Zobel, Kay}},
publisher = {{Hamburg Open Online University}},
title = {{{Linear Algebra driven by Data Science}}},
year = {{2020}},
}
@article{33282,
abstract = {{We derive a criterium for the almost sure finiteness of perpetual integrals of L ́evy
processes for a class of real functions including all continuous functions and for general one-
dimensional L ́evy processes that drifts to plus infinity. This generalizes previous work of D ̈oring
and Kyprianou, who considered L ́evy processes having a local time, leaving the general case as an
open problem. It turns out, that the criterium in the general situation simplifies significantly in
the situation, where the process has a local time, but we also demonstrate that in general our cri-
terium can not be reduced. This answers an open problem posed in D ̈oring, L. and Kyprianou, A.
(2015).}},
author = {{Kolb, Martin and Savov, Mladen}},
journal = {{Bernoulli}},
keywords = {{L ́evy processes, Perpetual integrals, Potential measures}},
number = {{2}},
pages = {{1453--1472}},
publisher = {{Bernoulli Society for Mathematical Statistics and Probability}},
title = {{{A Characterization of the Finiteness of Perpetual Integrals of Levy Processes}}},
doi = {{https://doi.org/10.48550/arXiv.1903.03792}},
volume = {{26}},
year = {{2020}},
}
@article{33330,
abstract = {{Reciprocal relations are binary relations Q with entries Q(i,j)∈[0,1], and such that Q(i,j)+Q(j,i)=1. Relations of this kind occur quite naturally in various domains, such as preference modeling and preference learning. For example, Q(i,j) could be the fraction of voters in a population who prefer candidate i to candidate j. In the literature, various attempts have been made at generalizing the notion of transitivity to reciprocal relations. In this paper, we compare three important frameworks of generalized transitivity: g-stochastic transitivity, T-transitivity, and cycle-transitivity. To this end, we introduce E-transitivity as an even more general notion. We also use this framework to extend an existing hierarchy of different types of transitivity. As an illustration, we study transitivity properties of probabilities of pairwise preferences, which are induced as marginals of an underlying probability distribution on rankings (strict total orders) of a set of alternatives. In particular, we analyze the interesting case of the so-called Babington Smith model, a parametric family of distributions of that kind.}},
author = {{Haddenhorst, Björn and Hüllermeier, Eyke and Kolb, Martin}},
journal = {{International Journal of Approximate Reasoning}},
number = {{2}},
pages = {{373--407}},
publisher = {{Elsevier}},
title = {{{Generalized transitivity: A systematic comparison of concepts with an application to preferences in the Babington Smith model}}},
doi = {{https://doi.org/10.1016/j.ijar.2020.01.007}},
volume = {{119}},
year = {{2020}},
}
@article{34828,
author = {{Hanusch, Maximilian}},
issn = {{0019-3577}},
journal = {{Indagationes Mathematicae}},
keywords = {{regularity of Lie groups}},
number = {{1}},
pages = {{152--176}},
publisher = {{Elsevier BV}},
title = {{{The regularity problem for Lie groups with asymptotic estimate Lie algebras}}},
doi = {{10.1016/j.indag.2019.12.001}},
volume = {{31}},
year = {{2020}},
}
@article{34830,
author = {{Hanusch, Maximilian}},
journal = {{Journal of Lie Theory}},
keywords = {{Lie theory, strong Trotter property}},
number = {{1}},
pages = {{025--032}},
publisher = {{Heldermann Verlag}},
title = {{{The Strong Trotter Property for Locally μ-convex Lie Groups}}},
volume = {{30}},
year = {{2020}},
}
@article{45383,
author = {{Dröse, Jennifer and Prediger, Susanne}},
journal = {{Journal für Mathematik-Didaktik, 41(2)}},
pages = {{399--422}},
title = {{{Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle}}},
doi = {{doi.org/10.1007/s13138-019-00153-z}},
year = {{2020}},
}
@inbook{29413,
author = {{Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }},
booktitle = {{Advances in Dynamics, Optimization and Computation}},
editor = {{Junge, Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}},
pages = {{209--237}},
publisher = {{Springer International Publishing}},
title = {{{Symmetry in optimal control: A multiobjective model predictive control approach}}},
year = {{2020}},
}
@article{31553,
author = {{Seitz, Susanne and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}},
journal = {{K:ON Kölner Online-Journal für Lehrer*innenbildung}},
number = {{2}},
title = {{{Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.}}},
doi = {{10.18716/ojs/kON/2020.2.03}},
year = {{2020}},
}