@article{45561,
  abstract     = {{<jats:p>The purpose of this study is to experimentally test Trockel’s game, which is a modelling of the classical Chain Store Game (CSG), and determine whether one of the two theories of Equality and Deterrence may better account for the observed behavior. The CSG is an example of a simple game in extensive form where the actual behavior of well-informed players cannot be expected to agree with the clear results of game theoretical reasoning. To explain the disagreement between the theory and the expected behavior, Trockel’s game is proposed as an alternative modelling of the scenario. The existence of more than one equilibrium in Trockel’s game opens a door for reputation building. This study is the first attempt to experimentally test this alternative game with the same purpose. According to my data, there is some evidence in favor of both Equality and Deterrence Hypotheses. However, since the strategies compatible with the Equality Hypothesis are played more frequently, I observe some patterns which share the same intuition with the Deterrence Hypothesis.</jats:p>}},
  author       = {{Duman, Papatya}},
  issn         = {{2073-4336}},
  journal      = {{Games}},
  keywords     = {{Applied Mathematics, Statistics, Probability and Uncertainty, Statistics and Probability}},
  number       = {{1}},
  publisher    = {{MDPI AG}},
  title        = {{{Does Informational Equivalence Preserve Strategic Behavior? Experimental Results on Trockel’s Model of Selten’s Chain Store Story}}},
  doi          = {{10.3390/g11010009}},
  volume       = {{11}},
  year         = {{2020}},
}

@article{34670,
  author       = {{Black, Tobias}},
  issn         = {{0218-2025}},
  journal      = {{Mathematical Models and Methods in Applied Sciences}},
  keywords     = {{Applied Mathematics, Modeling and Simulation}},
  number       = {{06}},
  pages        = {{1075--1117}},
  publisher    = {{World Scientific Pub Co Pte Lt}},
  title        = {{{Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}}},
  doi          = {{10.1142/s0218202520400072}},
  volume       = {{30}},
  year         = {{2020}},
}

@article{35953,
  author       = {{Schwabl, Franziska and Janssen, Elmar A. and Sloane, Peter F. E.}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{138--152}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Sprachsensible Formulierung von Erhebungsinstrumenten}}},
  doi          = {{10.25162/zbw-2020-0005}},
  volume       = {{116}},
  year         = {{2020}},
}

@article{46581,
  author       = {{Schwabl, Franziska and Janssen, Elmar and Sloane, Peter F. E.}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{138--152}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Sprachsensible Formulierung von Erhebungsinstrumenten}}},
  doi          = {{10.25162/zbw-2020-0005}},
  volume       = {{116}},
  year         = {{2020}},
}

@inbook{35811,
  author       = {{Biehler, Rolf and Durand-Guerrier, Viviane}},
  booktitle    = {{Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020)}},
  editor       = {{Hausberger, T. and Bosch, M. and Chelloughi, F.}},
  keywords     = {{Number Theory, Algebra, Discrete Mathematics, Logic, Research in University Mathematics Edcuation}},
  pages        = {{283--287}},
  publisher    = {{University of Carthage and INDRUM}},
  title        = {{{University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic}}},
  year         = {{2020}},
}

@article{34672,
  author       = {{Black, Tobias}},
  issn         = {{1937-1179}},
  journal      = {{Discrete &amp; Continuous Dynamical Systems - S}},
  keywords     = {{Applied Mathematics, Discrete Mathematics and Combinatorics, Analysis}},
  number       = {{2}},
  pages        = {{119--137}},
  publisher    = {{American Institute of Mathematical Sciences (AIMS)}},
  title        = {{{Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity}}},
  doi          = {{10.3934/dcdss.2020007}},
  volume       = {{13}},
  year         = {{2019}},
}

@article{34669,
  author       = {{Black, Tobias}},
  issn         = {{1422-6928}},
  journal      = {{Journal of Mathematical Fluid Mechanics}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Condensed Matter Physics, Mathematical Physics}},
  number       = {{1}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{The Stokes Limit in a Three-Dimensional Chemotaxis-Navier–Stokes System}}},
  doi          = {{10.1007/s00021-019-0464-z}},
  volume       = {{22}},
  year         = {{2019}},
}

@article{34668,
  author       = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{0170-4214}},
  journal      = {{Mathematical Methods in the Applied Sciences}},
  keywords     = {{General Engineering, General Mathematics}},
  number       = {{9}},
  pages        = {{3002--3020}},
  publisher    = {{Wiley}},
  title        = {{{A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}}},
  doi          = {{10.1002/mma.5561}},
  volume       = {{42}},
  year         = {{2019}},
}

@article{34671,
  author       = {{Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}},
  issn         = {{0003-6811}},
  journal      = {{Applicable Analysis}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{16}},
  pages        = {{2877--2891}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Stabilization in the Keller–Segel system with signal-dependent sensitivity}}},
  doi          = {{10.1080/00036811.2019.1585534}},
  volume       = {{99}},
  year         = {{2019}},
}

@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}},
}

@article{32489,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>The stagnation point heat fluxes of methane/air flames impinging normal on a cylindrical surface were determined experimentally. Light induced phosphorescence from thermographic phosphors was used to investigate surface temperatures at the stagnation point from a nearly 1D laminar premixed flame burning against a water-cooled ceramic tube. The ceramic tube was coated with 1.1% chromium-doped alumina (ruby) at the impingement area and excited with a green light-emitting diode (LED) to measure the surface temperature. The flame temperature profiles were also measured with a thermocouple of type R (Pt/Pt  +  13% Rh). Effects on variations in cold gas velocity (0.1 m s<jats:sup>−1</jats:sup>–0.5 m s<jats:sup>−1</jats:sup>) relative to the flame speed, equivalence ratio (Ф  =  0.85–1.2), burner to impingement surface spacing (<jats:italic>H</jats:italic>/<jats:italic>d</jats:italic>  =  0.5–2) and surface curvature are reported. The stagnation point heat fluxes are strongly influenced by the flame stabilization mechanism, which changes from burner to wall stabilization, which also is seen from the measured flame temperature profiles. Increasing the cold gas velocity of the reactants leads to higher stagnation point heat fluxes. In addition, decreasing the distance between the burner and impingement surface increases the heat flux, with higher heat fluxes recorded for a tube compared to a flat plate.</jats:p>}},
  author       = {{Oketch, Peter Obara and Gonchikzhapov, Munko and Bergmann, Ulf and Atakan, Burak}},
  issn         = {{0957-0233}},
  journal      = {{Measurement Science and Technology}},
  keywords     = {{Applied Mathematics, Instrumentation, Engineering (miscellaneous)}},
  number       = {{9}},
  publisher    = {{IOP Publishing}},
  title        = {{{Thermographic phosphor heat flux measurements of laminar methane/air flame impinging on a cylindrical surface}}},
  doi          = {{10.1088/1361-6501/ab217e}},
  volume       = {{30}},
  year         = {{2019}},
}

@article{45948,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{4}},
  pages        = {{797--853}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{A convergent evolving finite element algorithm for mean curvature flow of closed surfaces}}},
  doi          = {{10.1007/s00211-019-01074-2}},
  volume       = {{143}},
  year         = {{2019}},
}

@article{53416,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>For a compact Riemannian locally symmetric space $\mathcal M$ of rank 1 and an associated vector bundle $\mathbf V_{\tau }$ over the unit cosphere bundle $S^{\ast }\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\mathbf V_{\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\ast }\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\sigma )$ on compatible associated vector bundles $\mathbf W_{\sigma }$ over $\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\tau$ and $\sigma$ defining the bundles $\mathbf V_{\tau }$ and $\mathbf W_{\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\mathbf W_{\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>}},
  author       = {{Küster, Benjamin and Weich, Tobias}},
  issn         = {{1073-7928}},
  journal      = {{International Mathematics Research Notices}},
  keywords     = {{General Mathematics}},
  number       = {{11}},
  pages        = {{8225--8296}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}}},
  doi          = {{10.1093/imrn/rnz068}},
  volume       = {{2021}},
  year         = {{2019}},
}

@article{46156,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Although the teaching of vocabulary in mathematics lessons is requested in content- and language-integrated lesson designs, the clarification of the specific lexical language demands is still an open question for many mathematical topics. In a content- and language-integrated lesson design towards understanding the concept of equivalent fractions, the vocabulary (words and phrases) used by 17 students has been analyzed with qualitative means of data analysis. The qualitative in-depth analyses underline the importance of meaning-related vocabulary for making structural relations between the fractions in view explicit. Quantitative analyses of inventoried vocabulary for the four categories “self-initiated by students,” “triggered by teaching material,” “triggered by teacher,” or “triggered by peers” show the relations of collective and autonomous vocabularies from which the students retrieve their lexical means in oral and written language production.</jats:p>}},
  author       = {{Wessel, Lena}},
  issn         = {{1033-2170}},
  journal      = {{Mathematics Education Research Journal}},
  keywords     = {{Education, General Mathematics}},
  number       = {{4}},
  pages        = {{653--681}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses}}},
  doi          = {{10.1007/s13394-019-00284-z}},
  volume       = {{32}},
  year         = {{2019}},
}

@article{48324,
  author       = {{Barwell, Richard and Wessel, Lena and Parra, Aldo}},
  issn         = {{1479-4802}},
  journal      = {{Research in Mathematics Education}},
  keywords     = {{General Mathematics, Education}},
  number       = {{2}},
  pages        = {{113--118}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Language diversity and mathematics education: new developments}}},
  doi          = {{10.1080/14794802.2019.1638824}},
  volume       = {{21}},
  year         = {{2019}},
}

@article{34915,
  abstract     = {{We describe the determinants of the automorphism groups of Hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of Hermitian lattices over a number field.}},
  author       = {{Kirschmer, Markus}},
  issn         = {{0003-889X}},
  journal      = {{Archiv der Mathematik}},
  keywords     = {{General Mathematics}},
  number       = {{4}},
  pages        = {{337--347}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Determinant groups of Hermitian lattices over local fields}}},
  doi          = {{10.1007/s00013-019-01348-z}},
  volume       = {{113}},
  year         = {{2019}},
}

@article{34664,
  author       = {{Black, Tobias}},
  issn         = {{0036-1410}},
  journal      = {{SIAM Journal on Mathematical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Analysis}},
  number       = {{4}},
  pages        = {{4087--4116}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion}}},
  doi          = {{10.1137/17m1159488}},
  volume       = {{50}},
  year         = {{2018}},
}

@article{34666,
  author       = {{Black, Tobias}},
  issn         = {{0022-0396}},
  journal      = {{Journal of Differential Equations}},
  keywords     = {{Analysis, Applied Mathematics}},
  number       = {{5}},
  pages        = {{2296--2339}},
  publisher    = {{Elsevier BV}},
  title        = {{{Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D}}},
  doi          = {{10.1016/j.jde.2018.04.035}},
  volume       = {{265}},
  year         = {{2018}},
}

@article{34667,
  author       = {{Black, Tobias}},
  issn         = {{0362-546X}},
  journal      = {{Nonlinear Analysis}},
  keywords     = {{Applied Mathematics, Analysis}},
  pages        = {{129--153}},
  publisher    = {{Elsevier BV}},
  title        = {{{Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions}}},
  doi          = {{10.1016/j.na.2018.10.003}},
  volume       = {{180}},
  year         = {{2018}},
}

@article{33261,
  abstract     = {{We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid representation generically occur along an absolutely indecomposable subrepresentation. This is stated as a conjecture in [B. Rink and J. Sanders, SIAM J. Math. Anal., 46 (2014), pp. 1577--1609]. It is a generalization of the well-known fact that generic steady state bifurcations in equivariant dynamical systems occur along an absolutely irreducible subrepresentation if the symmetries form a group---finite or compact Lie. Our generalization also includes noncompact symmetry groups. The result has applications in bifurcation theory of homogeneous coupled cell networks as they can be embedded (under mild additional assumptions) into monoid equivariant systems.}},
  author       = {{Schwenker, Sören}},
  issn         = {{0036-1410}},
  journal      = {{SIAM Journal on Mathematical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Analysis}},
  number       = {{3}},
  pages        = {{2466--2485}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems}}},
  doi          = {{10.1137/17m116118x}},
  volume       = {{50}},
  year         = {{2018}},
}