@unpublished{64216, abstract = {{Let X_n, n ≥ 0 be a Markov chain with finite state space M . If x, y ∈ M such that x is transient we have P_y (X_n = x) → 0 for n → ∞, and under mild aperiodicity conditions this convergence is monotone in that for some N we have ∀n ≥ N : P_y (X_n = x) ≥ Py (X_(n+1) = x). We use bounds on the rate of convergence of the Markov chain to its quasi-stationary distribution to obtain explicit bounds on N . We then apply this result to Bernoulli percolation with parameter p on the cylinder graph C_k × Z. Utilizing a Markov chain describing infection patterns layer per layer, we thus show the following uniform result on the monotonicity of connection probabilities: ∀k ≥ 3 ∀n ≥ 500k^62^k ∀p ∈ (0, 1) ∀m ∈ C_k : P_p((0, 0) ↔ (m, n)) ≥ P_p((0, 0) ↔ (m, n + 1)). In general these kind of monotonicity properties of connection probabilities are difficult to establish and there are only few pertaining results. }}, author = {{Richthammer, Thomas and König, Philipp}}, title = {{{Monotonicity of Markov chain transition probabilities via quasi-stationarity - an application to Bernoulli percolation on C_k × Z}}}, year = {{2022}}, } @unpublished{64214, abstract = {{For Bernoulli percolation on a given graph G = (V,E) we consider the cluster of some fixed vertex o \in V. We aim at comparing the number of vertices of this cluster in the set V_+ and in the set V_-, where V_+,V_- \subset V have the same size. Intuitively, if V_- is further away from o than V_+, it should contain fewer vertices of the cluster. We prove such a result in terms of stochastic domination, provided that o \in V_+, and V_+,V_- satisfy some strong symmetry conditions, and we give applications of this result in case G is a bunkbed graph, a layered graph, the 2D square lattice or a hypercube graph. Our result only relies on general probabilistic techniques and a combinatorial result on group actions, and thus extends to fairly general random partitions, e.g. as induced by Bernoulli site percolation or the random cluster model. }}, author = {{Richthammer, Thomas}}, title = {{{Comparing the number of infected vertices in two symmetric sets for Bernoulli percolation (and other random partitions)}}}, year = {{2022}}, } @unpublished{64215, abstract = {{Let G = (V, E) be a simple finite graph. The corresponding bunkbed graph G± consists of two copies G+ = (V +, E+), G− = (V −, E−) of G and additional edges connecting any two vertices v+ ∈ V+, v− ∈ V− that are the copies of a vertex v ∈ V . The bunkbed conjecture states that for independent bond percolation on G±, for all v, w ∈ V , it is more likely for v−, w− to be connected than for v−, w+ to be connected. While recently a counterexample for the bunkbed conjecture was found, it should still hold for many interesting classes of graphs, and here we give a proof for complete bipartite graphs, complete graphs minus the edges of a complete subgraph, and symmetric complete k-partite graphs.}}, author = {{Richthammer, Thomas}}, title = {{{Bunkbed conjecture for complete bipartite graphs and related classes of graphs}}}, year = {{2022}}, } @article{34570, author = {{Terhörst, Philipp}}, journal = {{IEEE IJCB}}, title = {{{On the (Limited) Generalization of MasterFace Attacks and Its Relation to the Capacity of Face Representations}}}, doi = {{10.48550/ARXIV.2203.12387}}, year = {{2022}}, } @inproceedings{64260, author = {{Mager, Thomas and Jürgenhake, Christoph and Dumitrescu, Roman}}, booktitle = {{Proceedings of the German Microwave Conference (GeMiC)}}, location = {{Ulm}}, pages = {{224--227}}, title = {{{Efficient method for determining substrate parameters of additive manufactured spatial circuit carriers}}}, year = {{2022}}, } @article{64272, abstract = {{AbstractIn the present paper we further the study of the compression cone of a real spherical homogeneous space $$Z=G/H$$ Z = G / H . In particular we provide a geometric construction of the little Weyl group of Z introduced recently by Knop and Krötz. Our technique is based on a fine analysis of limits of conjugates of the subalgebra $$\mathrm{Lie}(H)$$ Lie ( H ) along one-parameter subgroups in the Grassmannian of subspaces of $$\mathrm{Lie}(G)$$ Lie ( G ) . The little Weyl group is obtained as a finite reflection group generated by the reflections in the walls of the compression cone.}}, author = {{Kuit, Job J. and Sayag, Eitan}}, issn = {{0025-5831}}, journal = {{Mathematische Annalen}}, number = {{1-2}}, pages = {{433--498}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{On the little Weyl group of a real spherical space}}}, doi = {{10.1007/s00208-022-02473-x}}, volume = {{387}}, year = {{2022}}, } @article{64273, author = {{Gimperlein, Heiko and Krötz, Bernhard and Kuit, Job and Schlichtkrull, Henrik}}, issn = {{2168-0930}}, journal = {{Cambridge Journal of Mathematics}}, number = {{3}}, pages = {{689--742}}, publisher = {{International Press of Boston}}, title = {{{A Paley–Wiener theorem for Harish–Chandra modules}}}, doi = {{10.4310/cjm.2022.v10.n3.a3}}, volume = {{10}}, year = {{2022}}, } @misc{64268, author = {{Kuit, Job}}, title = {{{Plancherel theory on real spherical spaces}}}, year = {{2022}}, } @article{64274, author = {{Krötz, Bernhard and Kuit, Job J. and Schlichtkrull, Henrik}}, issn = {{0019-3577}}, journal = {{Indagationes Mathematicae}}, number = {{4}}, pages = {{869--879}}, publisher = {{Elsevier BV}}, title = {{{Discrete series representations with non-tempered embedding}}}, doi = {{10.1016/j.indag.2022.02.010}}, volume = {{33}}, year = {{2022}}, } @article{59668, abstract = {{AbstractSpin‐controlled lasers are highly interesting photonic devices and have been shown to provide ultrafast polarization dynamics in excess of 200 GHz. In contrast to conventional semiconductor lasers their temporal properties are not limited by the intensity dynamics, but are governed primarily by the interaction of the spin dynamics with the birefringent mode splitting that determines the polarization oscillation frequency. Another class of modern semiconductor lasers are high‐β emitters, which benefit from enhanced light–matter interaction due to strong mode confinement in low‐mode‐volume microcavities. In such structures, the emission properties can be tailored by the resonator geometry to realize for instance bimodal emission behavior in slightly elliptical micropillar cavities. This attractive feature is utilized to demonstrate and explore spin‐lasing effects in bimodal high‐β quantum dot micropillar lasers. The studied microlasers with a β‐factor of 4% show spin‐laser effects with experimental polarization oscillation frequencies up to 15 GHz and predicted frequencies up to about 100 GHz, which are controlled by the ellipticity of the resonator. These results reveal appealing prospects for very compact, ultrafast, and energy‐efficient spin‐lasers and can pave the way for future purely electrically injected spin‐lasers enabled by short injection path lengths.}}, author = {{Heermeier, Niels and Heuser, Tobias and Große, Jan and Jung, Natalie and Kaganskiy, Arsenty and Lindemann, Markus and Gerhardt, Nils Christopher and Hofmann, Martin R. and Reitzenstein, Stephan}}, issn = {{1863-8880}}, journal = {{Laser & Photonics Reviews}}, number = {{4}}, publisher = {{Wiley}}, title = {{{Spin‐Lasing in Bimodal Quantum Dot Micropillar Cavities}}}, doi = {{10.1002/lpor.202100585}}, volume = {{16}}, year = {{2022}}, } @unpublished{64285, abstract = {{In this article we give a precise description of the Plancherel decomposition of the most continuous part of $L^{2}(Z)$ for a real spherical homogeneous space $Z$. Our starting point is the recent construction of Bernstein morphisms by Delorme, Knop, Krötz and Schlichtkrull. The most continuous part decomposes into a direct integral of unitary principal series representations. We give an explicit construction of the $H$-invariant functionals on these principal series. We show that for generic induction data the multiplicity space equals the full space of $H$-invariant functionals. Finally, we determine the inner products on the multiplicity spaces by refining the Maass-Selberg relations.}}, author = {{Kuit, Job and Sayag, Eitan}}, title = {{{The most continuous part of the Plancherel decomposition for a real spherical space}}}, year = {{2022}}, } @inproceedings{46305, abstract = {{Hardness of Multi-Objective (MO) continuous optimization problems results from an interplay of various problem characteristics, e. g. the degree of multi-modality. We present a benchmark study of classical and diversity focused optimizers on multi-modal MO problems based on automated algorithm configuration. We show the large effect of the latter and investigate the trade-off between convergence in objective space and diversity in decision space.}}, author = {{Rook, J and Trautmann, Heike and Bossek, Jakob and Grimme, C}}, booktitle = {{Proceedings of the Genetic and Evolutionary Computation Conference Companion}}, editor = {{Fieldsend, J and Wagner, M.}}, isbn = {{9781450392686}}, pages = {{356–359}}, publisher = {{Association for Computing Machinery}}, title = {{{On the Potential of Automated Algorithm Configuration on Multi-Modal Multi-Objective Optimization Problems}}}, doi = {{10.1145/3520304.3528998}}, year = {{2022}}, } @article{63923, author = {{Asanbaeva, Nargiz B. and Gurskaya, Larisa Yu and Polienko, Yuliya F. and Rybalova, Tatyana V. and Kazantsev, Maxim S. and Dmitriev, Alexey A. and Gritsan, Nina P. and Haro-Mares, Nadia and Gutmann, Torsten and Buntkowsky, Gerd and Tretyakov, Evgeny V. and Bagryanskaya, Elena G.}}, issn = {{1420-3049}}, journal = {{Molecules}}, number = {{10}}, pages = {{3252}}, title = {{{Effects of Spiro-Cyclohexane Substitution of Nitroxyl Biradicals on Dynamic Nuclear Polarization}}}, doi = {{10.3390/molecules27103252}}, volume = {{27}}, year = {{2022}}, } @article{64264, abstract = {{Abstract Künstliche Intelligenz bietet großes Potenzial im Engineering. Der Einsatz gestattet insbesondere für Wissensarbeiter eine effiziente Arbeitsteilung, in der beispielsweise fehleranfällige und repetitive Aktivitäten unterstützt werden. Eine erfolgreiche Einführung bedarf einer vorangehenden Analyse von nutzenstiftenden Einsatzpotenzialen, bei der alle Anwendenden frühzeitig einbezogen werden. Der folgende Beitrag verdeutlicht dieses Vorgehen anhand eines realen Beispiels im Sondermaschinenbau.}}, author = {{Kharatyan, Aschot and Humpert, Lynn and Anacker, Harald and Dumitrescu, Roman and Wäschle, Moritz and Albers, Albert and Horstmeyer, Sarah}}, issn = {{2511-0896}}, journal = {{Zeitschrift für wirtschaftlichen Fabrikbetrieb}}, number = {{6}}, pages = {{427--431}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Künstliche Intelligenz im Engineering}}}, doi = {{10.1515/zwf-2022-1074}}, volume = {{117}}, year = {{2022}}, } @article{64263, abstract = {{Abstract Künstliche Intelligenz bietet großes Potenzial im Engineering. Der Einsatz gestattet insbesondere für Wissensarbeiter eine effiziente Arbeitsteilung, in der beispielsweise fehleranfällige und repetitive Aktivitäten unterstützt werden. Eine erfolgreiche Einführung bedarf einer vorangehenden Analyse von nutzenstiftenden Einsatzpotenzialen, bei der alle Anwendenden frühzeitig einbezogen werden. Der folgende Beitrag verdeutlicht dieses Vorgehen anhand eines realen Beispiels im Sondermaschinenbau.}}, author = {{Kharatyan, Aschot and Humpert, Lynn and Anacker, Harald and Dumitrescu, Roman and Wäschle, Moritz and Albers, Albert and Horstmeyer, Sarah}}, issn = {{2511-0896}}, journal = {{Zeitschrift für wirtschaftlichen Fabrikbetrieb}}, number = {{6}}, pages = {{427--431}}, publisher = {{Walter de Gruyter GmbH}}, title = {{{Künstliche Intelligenz im Engineering}}}, doi = {{10.1515/zwf-2022-1074}}, volume = {{117}}, year = {{2022}}, } @article{64570, author = {{Olbrich, Martin and Palmirotta, Guendalina}}, issn = {{0232-704X}}, journal = {{Annals of Global Analysis and Geometry}}, number = {{1}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces}}}, doi = {{10.1007/s10455-022-09882-w}}, volume = {{63}}, year = {{2022}}, } @article{64571, abstract = {{We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type $X = G/K$. We prove a characterisation of their range. In fact, from Delorme's Paley-Wiener theorem for compactly supported smooth functions on a real reductive group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener-Schwartz theorems for sections.}}, author = {{Olbrich, Martin and Palmirotta, Guendalina}}, journal = {{Journal of Lie theory}}, number = {{2}}, pages = {{53----384}}, publisher = {{Heldermann Verlag}}, title = {{{A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$}}}, volume = {{34}}, year = {{2022}}, } @inbook{64572, author = {{Keatinge, Dagmar and Elbwart, Katharina and Dunn, William}}, booktitle = {{International Virtual Exchange Conference (IVEC) 2021 Conference Proceedings}}, editor = {{Elliot, Kathlyn}}, pages = {{48--53}}, title = {{{A Practice Report on Teaching Language Internationally in Germany and Canada}}}, year = {{2022}}, } @inproceedings{35947, abstract = {{The recent trend towards extensive electric mobility leads to a variety of new challenges for the engineering of future vehicle concepts. One particular challenge is the additional weight added to the vehicle by the battery, which stands in direct contrast to the existing customer expectation of a high driving range. The reduction of the total vehicle weight is driven by the extensive use of ultra-high-strength steels in thin sheet thicknesses in car body construction. Resistance spot welding is the dominant joining process in steel-intensive lightweight construction due to its high degree of automation, process reliability and the associated economic efficiency. In order to comply limitations of the space in the vehicle body and to ensure the most efficient use of materials in lightweight construction, joints are used that connect several sheets with a single spot weld. This leads to new challenges for the prediction of the load-bearing capacity and failure behaviour under crash loading. This paper presents a systematic characterisation of 3 sheet steel joints in order to find formulary, empirical relationships between the load-bearing capacity of the joint and the affecting parameters. Numerical simulations are carried out in order to clarify the causes of occurring phenomena in experiments. For this purpose, influencing variables such as joint strength, joint arrangement, sheet thickness, sheet strength, load type and load case on the load bearing capacity and failure behaviour are identified. Furthermore, the extent to which the behaviour of 2-sheet joints can be transferred to 3-sheet joints is investigated. A formulary correlation enables a quick and inexpensive estimates of the load-bearing capacity of 3-sheet metal connections. These models can be used for a computer-efficient simulation of components with three layered spot welded joints.}}, author = {{Olfert, Viktoria and Meschut, Gerson and Hein, David and Schuster, Lilia and Sommer, Silke}}, location = {{Mailand}}, publisher = {{SCT}}, title = {{{Development of a crash behaviour prediction method for resistance spot welded 3-steel sheet joints}}}, year = {{2022}}, } @article{51608, author = {{Degeling, Jasmin and Hohmann, Philipp}}, issn = {{0940-9459}}, journal = {{Texte zur Kunst}}, number = {{126}}, pages = {{153–157}}, title = {{{Theoriepolitiken des Überlebens: Trauerarbeit mit Lauren Berlant}}}, volume = {{32}}, year = {{2022}}, }