@article{31265,
  author       = {{Dyatlov, Semyon and Borthwick, David and Weich, Tobias}},
  issn         = {{1435-9855}},
  journal      = {{Journal of the European Mathematical Society}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{6}},
  pages        = {{1595--1639}},
  publisher    = {{European Mathematical Society - EMS - Publishing House GmbH}},
  title        = {{{Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}}},
  doi          = {{10.4171/jems/867}},
  volume       = {{21}},
  year         = {{2019}},
}

@misc{31383,
  author       = {{Hoffmann, Max}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{117–118}},
  title        = {{{Rezension: Klaus Volkert: In höheren Räumen – Der Weg der Geometrie in die vierte Dimension}}},
  doi          = {{10.1007/s00591-018-00244-x}},
  volume       = {{66}},
  year         = {{2019}},
}

@unpublished{31191,
  abstract     = {{The kinetic Brownian motion on the sphere bundle of a Riemannian manifold $M$
is a stochastic process that models a random perturbation of the geodesic flow.
If $M$ is a orientable compact constant negatively curved surface, we show that
in the limit of infinitely large perturbation the $L^2$-spectrum of the
infinitesimal generator of a time rescaled version of the process converges to
the Laplace spectrum of the base manifold. In addition, we give explicit error
estimates for the convergence to equilibrium. The proofs are based on
noncommutative harmonic analysis of $SL_2(\mathbb{R})$.}},
  author       = {{Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart}},
  booktitle    = {{arXiv:1909.06183}},
  title        = {{{Spectral Asymptotics for Kinetic Brownian Motion on Hyperbolic Surfaces}}},
  year         = {{2019}},
}

@article{33331,
  abstract     = {{Motivated by the recent contribution (Bauer and Bernard in Annales Henri Poincaré 19:653–693, 2018), we study the scaling limit behavior of a class of one-dimensional stochastic differential equations which has a unique attracting point subject to a small additional repulsive perturbation. Problems of this type appear in the analysis of continuously monitored quantum systems. We extend the results of Bauer and Bernard (Annales Henri Poincaré 19:653–693, 2018) and prove a general result concerning the convergence to a homogeneous Poisson process using only classical probabilistic tools.}},
  author       = {{Kolb, Martin and Liesenfeld, Matthias}},
  journal      = {{Annales Henri Poincaré}},
  number       = {{6}},
  pages        = {{1753--1783}},
  publisher    = {{Institute Henri Poincaré}},
  title        = {{{Stochastic Spikes and Poisson Approximation of One-Dimensional Stochastic Differential Equations with Applications to Continuously Measured Quantum Systems}}},
  doi          = {{http://dx.doi.org/10.1007/s00023-019-00772-9}},
  volume       = {{20}},
  year         = {{2019}},
}

@article{33333,
  author       = {{Wang, Andi Q. and Kolb, Martin and Roberts, Gareth O. and Steinsaltz, David}},
  journal      = {{The Annals of Applied Probability}},
  number       = {{1}},
  title        = {{{Theoretical properties of quasi-stationary Monte Carlo methods}}},
  doi          = {{http://dx.doi.org/10.1214/18-AAP1422}},
  volume       = {{29}},
  year         = {{2019}},
}

@article{33334,
  abstract     = {{In the present work we characterize the existence of quasistationary distributions for diffusions on (0,∞) allowing singular behavior at 0 and ∞. If absorption at 0 is certain, we show that there exists a quasistationary distribution as soon as the spectrum of the generator is strictly positive. This complements results of Collet et al. and Kolb/Steinsaltz for 0 being a regular boundary point and extends results by Collet et al. on singular diffusions. We also study the existence and uniqueness of quasistationary distributions for a class of one-dimensional diffusions with killing that arise from a biological example and which have two inaccessible boundary points (more specifically 0 is natural and ∞ is entrance).}},
  author       = {{Hening, Alexandru and Kolb, Martin}},
  journal      = {{Stochastic Processes and their Applications}},
  number       = {{5}},
  pages        = {{1659--1696}},
  publisher    = {{Bernoulli Society for Mathematical Statistics and Probability}},
  title        = {{{Quasistationary distributions for one-dimensional diffusions with two singular boundary points}}},
  doi          = {{http://dx.doi.org/10.1016/j.spa.2018.05.012}},
  volume       = {{129}},
  year         = {{2019}},
}

@article{34829,
  author       = {{Hanusch, Maximilian}},
  issn         = {{1435-5337}},
  journal      = {{Forum Mathematicum}},
  keywords     = {{regularity of Lie groups, differentiability of the evolution map}},
  number       = {{5}},
  pages        = {{1139--1177}},
  publisher    = {{Walter de Gruyter GmbH}},
  title        = {{{Differentiability of the evolution map and Mackey continuity}}},
  doi          = {{10.1515/forum-2018-0310}},
  volume       = {{31}},
  year         = {{2019}},
}

@inproceedings{45388,
  author       = {{Dröse, Jennifer}},
  booktitle    = {{Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education}},
  editor       = {{Jankvist, U. T. and van den Heuvel-Panhuizen, M. and Veldhuis, M.}},
  publisher    = {{Freudenthal Group & ERME}},
  title        = {{{Comprehending mathematical problem texts – Fostering subject-specific reading strategies for creating mental text representation}}},
  year         = {{2019}},
}

@inproceedings{45389,
  author       = {{Dröse, Jennifer}},
  booktitle    = {{Proceedings of the Third International Conference on Mathematics Textbook Research and Development }},
  editor       = {{Rezat, S. and Hattermann, M. and Schumacher, J. and Wuschke, H.}},
  pages        = {{161--166}},
  title        = {{{Mathematical and linguistic features of word problems in grade 4 and 5 German textbooks – A compara-tive corpus linguistic approach}}},
  year         = {{2019}},
}

@inproceedings{29867,
  author       = {{Faulwasser, Tim and Flaßkamp, K. and Ober-Blöbaum, Sina and Worthmann, Karl}},
  pages        = {{490--495}},
  title        = {{{Towards velocity turnpikes in optimal control of mechanical systems}}},
  volume       = {{52(16)}},
  year         = {{2019}},
}

@inproceedings{45391,
  author       = {{Delucchi, R. and Neugebauer, P. and Dröse, Jennifer and Prediger, Susanne and Mertins, B.}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2019 }},
  editor       = {{Frank, A. and Krauss, S. and Binder, K.}},
  pages        = {{1239--1242}},
  publisher    = {{WTM}},
  title        = {{{Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5}}},
  year         = {{2019}},
}

@article{16708,
  abstract     = {{ In this work we extend the novel framework developed by Dellnitz, Hessel-von Molo, and Ziessler to
the computation of finite dimensional unstable manifolds of infinite dimensional dynamical systems.
To this end, we adapt a set-oriented continuation technique developed by Dellnitz and Hohmann for
the computation of such objects of finite dimensional systems with the results obtained in the work
of Dellnitz, Hessel-von Molo, and Ziessler. We show how to implement this approach for the analysis
of partial differential equations and illustrate its feasibility by computing unstable manifolds of the
one-dimensional Kuramoto--Sivashinsky equation as well as for the Mackey--Glass delay differential
equation.
}},
  author       = {{Ziessler, Adrian and Dellnitz, Michael and Gerlach, Raphael}},
  issn         = {{1536-0040}},
  journal      = {{SIAM Journal on Applied Dynamical Systems}},
  number       = {{3}},
  pages        = {{1265--1292}},
  title        = {{{The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques}}},
  doi          = {{10.1137/18m1204395}},
  volume       = {{18}},
  year         = {{2019}},
}

@article{34917,
  abstract     = {{We relate proper isometry classes of maximal lattices in a totally definite quaternary quadratic space (V,q) with trivial discriminant to certain equivalence classes of ideals in the quaternion algebra representing the Clifford invariant of (V,q). This yields a good algorithm to enumerate a system of representatives of proper isometry classes of lattices in genera of maximal lattices in (V,q).}},
  author       = {{Kirschmer, Markus and Nebe, Gabriele}},
  issn         = {{1793-0421}},
  journal      = {{International Journal of Number Theory}},
  keywords     = {{Algebra and Number Theory}},
  number       = {{02}},
  pages        = {{309--325}},
  publisher    = {{World Scientific Pub Co Pte Lt}},
  title        = {{{Quaternary quadratic lattices over number fields}}},
  doi          = {{10.1142/s1793042119500131}},
  volume       = {{15}},
  year         = {{2019}},
}

@article{34916,
  abstract     = {{We describe the powers of irreducible polynomials occurring as characteristic polynomials of automorphisms of even unimodular lattices over number fields. This generalizes results of Gross & McMullen and Bayer-Fluckiger & Taelman.}},
  author       = {{Kirschmer, Markus}},
  issn         = {{0022-314X}},
  journal      = {{Journal of Number Theory}},
  keywords     = {{Algebra and Number Theory}},
  pages        = {{121--134}},
  publisher    = {{Elsevier BV}},
  title        = {{{Automorphisms of even unimodular lattices over number fields}}},
  doi          = {{10.1016/j.jnt.2018.08.004}},
  volume       = {{197}},
  year         = {{2019}},
}

@misc{31302,
  author       = {{Schütte, Philipp}},
  title        = {{{Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces}}},
  year         = {{2019}},
}

@article{51387,
  author       = {{Hilgert, Joachim and Parthasarathy, A. and Hansen, S.}},
  journal      = {{Inter. Math. Research Notices}},
  pages        = {{6362--6389}},
  title        = {{{Resonances and Scattering Poles in Symmetric Spaces of Rank One}}},
  volume       = {{20}},
  year         = {{2019}},
}

@misc{51568,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{247–249}},
  title        = {{{Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015}}},
  doi          = {{10.1007/s00591-018-0233-8}},
  volume       = {{66}},
  year         = {{2019}},
}

@misc{51566,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{261–262}},
  title        = {{{Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018}}},
  doi          = {{10.1007/s00591-019-00251-6}},
  volume       = {{66}},
  year         = {{2019}},
}

@misc{51567,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte }},
  pages        = {{257–258}},
  title        = {{{Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018)}}},
  doi          = {{10.1007/s00591-018-0234-7}},
  volume       = {{66}},
  year         = {{2019}},
}

@misc{51569,
  author       = {{Hilgert, Joachim}},
  booktitle    = {{Mathematische Semesterberichte}},
  pages        = {{127--129}},
  title        = {{{Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)}}},
  doi          = {{10.1007/s00591-018-0226-7}},
  volume       = {{66}},
  year         = {{2019}},
}