@phdthesis{52665, author = {{Hillebrand, Michael}}, isbn = {{978-3-947647-22-4}}, title = {{{Entwicklungssystematik zur Integration von Eigenschaften der Selbstheilung in Intelligente Technische Systeme }}}, volume = {{Band 403}}, year = {{2021}}, } @phdthesis{52664, author = {{Wu, Liang}}, isbn = {{978-3-947647-21-7}}, title = {{{Ultrabreitbandige Sampler in SiGe-BiCMOS-Technologie für Analog-Digital-Wandler mit zeitversetzter Abtastung}}}, volume = {{402}}, year = {{2021}}, } @inbook{52814, author = {{Büttner, Denise and Roll , Heike}}, booktitle = {{Vermitteln - verbinden - verstehen. 46. Jahrestagung des Fachverbandes Deutsch als Fremd- und Zweitsprache an der Technischen Universität Chemnitz }}, editor = {{Hinzmann, Friederike and Storz, Coretta and Hülsmann, Annemarie and Rosner, Ulrike and Dupke, Benjamin }}, pages = {{85--103}}, publisher = {{Universitätsverlag Göttingen}}, title = {{{„Zunge: Sprache“ Literarische Mehrsprachigkeit im Deutschunterricht am Beispiel der Erzählung „Mutterzunge“ von Emine Sevgi Özdamar}}}, year = {{2021}}, } @article{45967, author = {{Binz, Tim and Kovács, Balázs}}, journal = {{arXiv}}, title = {{{A convergent finite element algorithm for mean curvature flow in higher codimension}}}, year = {{2021}}, } @article{45962, abstract = {{Abstract An algorithm is proposed for generalized mean curvature flow of closed two-dimensional surfaces, which include inverse mean curvature flow and powers of mean and inverse mean curvature flow. Error estimates are proved for semidiscretizations and full discretizations for the generalized flow. The algorithm proposed and studied here combines evolving surface finite elements, whose nodes determine the discrete surface, and linearly implicit backward difference formulae for time integration. The numerical method is based on a system coupling the surface evolution to nonlinear second-order parabolic evolution equations for the normal velocity and normal vector. A convergence proof is presented in the case of finite elements of polynomial degree at least 2 and backward difference formulae of orders 2 to 5. The error analysis combines stability estimates and consistency estimates to yield optimal-order $H^1$-norm error bounds for the computed surface position, velocity, normal vector, normal velocity and therefore for the mean curvature. The stability analysis is performed in the matrix–vector formulation and is independent of geometric arguments, which only enter the consistency analysis. Numerical experiments are presented to illustrate the convergence results and also to report on monotone quantities, e.g. Hawking mass for inverse mean curvature flow, and complemented by experiments for nonconvex surfaces.}}, author = {{Binz, Tim and Kovács, Balázs}}, issn = {{0272-4979}}, journal = {{IMA Journal of Numerical Analysis}}, keywords = {{Applied Mathematics, Computational Mathematics, General Mathematics}}, number = {{3}}, pages = {{2545--2588}}, publisher = {{Oxford University Press (OUP)}}, title = {{{A convergent finite element algorithm for generalized mean curvature flows of closed surfaces}}}, doi = {{10.1093/imanum/drab043}}, volume = {{42}}, year = {{2021}}, } @article{45957, abstract = {{AbstractA proof of convergence is given for a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation is studied in an abstract weak formulation as a second-order system. Optimal-order uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error estimates are based on a consistency and stability analysis. The proof of stability is performed in an abstract framework, based on energy estimates exploiting the anti-symmetric structure of the second-order system. Numerical experiments illustrate the theoretical results.}}, author = {{Harder, Paula and Kovács, Balázs}}, issn = {{0272-4979}}, journal = {{IMA Journal of Numerical Analysis}}, keywords = {{Applied Mathematics, Computational Mathematics, General Mathematics}}, number = {{3}}, pages = {{2589--2620}}, publisher = {{Oxford University Press (OUP)}}, title = {{{Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions}}}, doi = {{10.1093/imanum/drab045}}, volume = {{42}}, year = {{2021}}, } @article{45961, author = {{Nick, Jörg and Kovács, Balázs and Lubich, Christian}}, issn = {{0029-599X}}, journal = {{Numerische Mathematik}}, keywords = {{Applied Mathematics, Computational Mathematics}}, number = {{4}}, pages = {{997--1000}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations}}}, doi = {{10.1007/s00211-021-01196-6}}, volume = {{147}}, year = {{2021}}, } @article{45959, author = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}}, issn = {{0029-599X}}, journal = {{Numerische Mathematik}}, keywords = {{Applied Mathematics, Computational Mathematics}}, number = {{3}}, pages = {{595--643}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{A convergent evolving finite element algorithm for Willmore flow of closed surfaces}}}, doi = {{10.1007/s00211-021-01238-z}}, volume = {{149}}, year = {{2021}}, } @article{34629, author = {{Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}}, issn = {{0377-0427}}, journal = {{Journal of Computational and Applied Mathematics}}, keywords = {{Applied Mathematics, Computational Mathematics}}, publisher = {{Elsevier BV}}, title = {{{Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data}}}, doi = {{10.1016/j.cam.2020.113061}}, volume = {{382}}, year = {{2021}}, } @inbook{53176, author = {{Krause, Ina and Gerhards, Christian}}, booktitle = {{Internationales Jahrbuch für Erwachsenenbildung 2022: Optimierung in der Weiterbildung}}, editor = {{Schemmann, Michael }}, title = {{{Betriebliche Weiterbildungskulturen in Zeiten der Digitalisierung – Eine Analyse mit Daten des BIBB-Qualifizierungspanels. }}}, year = {{2021}}, } @article{53192, abstract = {{The principal aim of this article is to attach and study $p$-adic $L$-functions to cohomological cuspidal automorphic representations $\Pi$ of $\operatorname {GL}_{2n}$ over a totally real field $F$ admitting a Shalika model. We use a modular symbol approach, along the global lines of the work of Ash and Ginzburg, but our results are more definitive because we draw heavily upon the methods used in the recent and separate works of all three authors. By construction, our $p$-adic $L$-functions are distributions on the Galois group of the maximal abelian extension of $F$ unramified outside $p\infty$. Moreover, we work under a weaker Panchishkine-type condition on $\Pi _p$ rather than the full ordinariness condition. Finally, we prove the so-called Manin relations between the $p$-adic $L$-functions at all critical points. This has the striking consequence that, given a unitary $\Pi$ whose standard $L$-function admits at least two critical points, and given a prime $p$ such that $\Pi _p$ is ordinary, the central critical value $L(\frac {1}{2}, \Pi \otimes \chi )$ is non-zero for all except finitely many Dirichlet characters $\chi$ of $p$-power conductor.}}, author = {{Dimitrov, Mladen and Januszewski, Fabian and Raghuram, A.}}, issn = {{0010-437X}}, journal = {{Compositio Mathematica}}, keywords = {{Algebra and Number Theory}}, number = {{12}}, pages = {{2437--2468}}, publisher = {{Wiley}}, title = {{{L-functions of GL(2n): p-adic properties and non-vanishing of twists}}}, doi = {{10.1112/s0010437x20007551}}, volume = {{156}}, year = {{2021}}, } @article{53199, author = {{Januszewski, Fabian}}, issn = {{0942-5977}}, journal = {{Mitteilungen der Deutschen Mathematiker-Vereinigung}}, keywords = {{Earth-Surface Processes}}, number = {{2}}, pages = {{68--72}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Von ganzen Zahlen zu L-Funktionen}}}, doi = {{10.1515/dmvm-2021-0027}}, volume = {{29}}, year = {{2021}}, } @techreport{53290, abstract = {{In this report, we consider a semiconductor nanostructure in an optical cavity that is coupled to quantum light. We describe the semiconductor nanostructure with a parabolic band structure in a 1D k-space, while we assume a single-mode quantum field. The 1D
system is chosen for simplicity in both the analytical and the numerical treatment and paves the way for the description of 2D structures in the future. Therefore, instead of using parameters which are realistic for 1D systems, we rather use parameters which qualitatively correspond to 2D GaAs structures.}}, author = {{Rose, H. and Vasil'ev, A.N. and Tikhonova, O.V. and Meier, Torsten and Sharapova, Polina R.}}, publisher = {{LibreCat University}}, title = {{{Excitation of an electronic band structure by a single-photon Fock state}}}, doi = {{10.5281/ZENODO.5774985}}, year = {{2021}}, } @article{53268, author = {{Soleymani, Mohammad and Santamaria, Ignacio and Schreier, Peter J.}}, issn = {{2169-3536}}, journal = {{IEEE Access}}, keywords = {{General Engineering, General Materials Science, General Computer Science}}, pages = {{96948--96963}}, publisher = {{Institute of Electrical and Electronics Engineers (IEEE)}}, title = {{{Distributed Algorithms for Spectral and Energy-Efficiency Maximization of K-User Interference Channels}}}, doi = {{10.1109/access.2021.3094976}}, volume = {{9}}, year = {{2021}}, } @techreport{17514, abstract = {{This paper introduces an index that captures the complexity of countries’ corporate income tax systems faced by multinational corporations. It is based on surveys of highly experienced tax consultants of the largest international tax services networks. The index, called the Tax Complexity Index (TCI), is composed of a tax code subindex covering tax regulations and a tax framework subindex covering tax processes and features. For a sample of 100 countries for the year 2016, we find that the level of tax complexity varies considerably across countries, while tax code and framework complexity also vary within countries. From a global perspective, tax complexity is strongly driven by the complexity of both transfer pricing regulations in the tax code and tax audits in the tax framework. When analyzing the associations with other country characteristics, we identify different correlation patterns. For example, tax framework complexity is negatively associated with countries’ governance, suggesting that strongly governed countries tend to have less complex tax frameworks, while tax code complexity is positively associated with the statutory tax rate, indicating that high-tax countries tend to have more complex tax codes. However, none of the observed associa-tions are very strong. We conclude that tax complexity represents a distinct country charac-teristic and propose the use of our TCI and its subindices in future research.}}, author = {{Hoppe, Thomas and Schanz, Debora and Sturm, Susann and Sureth-Sloane, Caren}}, title = {{{The Tax Complexity Index – A Survey-Based Country Measure of Tax Code and Framework Complexity}}}, doi = {{10.2139/ssrn.3469663}}, year = {{2021}}, } @techreport{24676, abstract = {{This study investigates the effect of mandatory public Country-by-Country Reporting (CbCR) for European banks on their presence in tax and regulatory havens. We find that the number of subsidiaries of European banks in tax havens declines significantly after the introduction of mandatory public CbCR in contrast to insurance firms that need not disclose. We document that this decline is mainly driven by a reduction of subsidiaries in small countries with little economic substance (“dot havens”) and in tax havens that are regulatory havens at the same time, i.e., with high financial secrecy. Further, we find that high exposure to reputational risk is a major amplifier of reorganizational activities. Our results explain prior mixed evidence and document that CbCR effectively curbs tax haven presence only under specific circumstances, i.e., in countries offering both tax shelter and financial secrecy, and more strongly for banks with high reputational risk. These findings suggest that increased tax disclosure on banks does not effectively attenuate tax haven presence per se, but only for a subset of havens and banks. Policymakers need to be aware of these limitations, especially in light of the current decision of extending public CbCR to all large multinationals. }}, author = {{Eberhartinger, Eva and Speitmann, Raffael and Sureth-Sloane, Caren}}, title = {{{Banks’ tax disclosure, financial secrecy, and tax haven heterogeneitys}}}, doi = {{10.2139/ssrn.3523909}}, year = {{2021}}, } @techreport{24674, author = {{Diller, Markus and Lorenz, Johannes and Schneider, Georg Thomas and Sureth-Sloane, Caren}}, issn = {{1556-5068}}, title = {{{Is Transfer Pricing Harmonization the Panacea? Reporting Transparency, Standards Consistency, and Tax Avoidance}}}, doi = {{10.2139/ssrn.3895611}}, year = {{2021}}, } @techreport{24661, author = {{Lorenz, Johannes and Diller, Markus and Sureth-Sloane, Caren}}, issn = {{1556-5068}}, title = {{{The Epidemiology of Tax Avoidance Narratives}}}, doi = {{10.2139/ssrn.2992732}}, year = {{2021}}, } @article{32006, author = {{Guillarmou, Colin and Küster, Benjamin}}, issn = {{1424-0637}}, journal = {{Annales Henri Poincaré}}, keywords = {{Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics}}, number = {{11}}, pages = {{3565--3617}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds}}}, doi = {{10.1007/s00023-021-01068-7}}, volume = {{22}}, year = {{2021}}, } @unpublished{53420, abstract = {{Let $P$ be a bounded convex subset of $\mathbb R^n$ of positive volume. Denote the smallest degree of a polynomial $p(X_1,\dots,X_n)$ vanishing on $P\cap\mathbb Z^n$ by $r_P$ and denote the smallest number $u\geq0$ such that every function on $P\cap\mathbb Z^n$ can be interpolated by a polynomial of degree at most $u$ by $s_P$. We show that the values $(r_{d\cdot P}-1)/d$ and $s_{d\cdot P}/d$ for dilates $d\cdot P$ converge from below to some numbers $v_P,w_P>0$ as $d$ goes to infinity. The limits satisfy $v_P^{n-1}w_P \leq n!\cdot\operatorname{vol}(P)$. When $P$ is a triangle in the plane, we show equality: $v_Pw_P = 2\operatorname{vol}(P)$. These results are obtained by looking at the set of standard monomials of the vanishing ideal of $d\cdot P\cap\mathbb Z^n$ and by applying the Bernstein--Kushnirenko theorem. Finally, we study irreducible Laurent polynomials that vanish with large multiplicity at a point. This work is inspired by questions about Seshadri constants.}}, author = {{Gundlach, Fabian}}, booktitle = {{arXiv:2107.05353}}, title = {{{Polynomials vanishing at lattice points in a convex set}}}, year = {{2021}}, }