Forschungsbericht 2021

Mathematik E-10

Leitung: Prof. Dr. Marko Lindner, Prof. Dr. Anusch Taraz, Prof. Dr. Sabine Le Borne, Prof. Dr. Daniel Ruprecht, Prof. Dr. Matthias Schulte

Institut auf TORE
Institutswebsite

Publikationen

• Asymptotic Fourier and Laplace transforms for vector-valued hyperfunctions - Article
  Kruse, Karsten
  Functiones et Approximatio : Commentarii Mathematici (in Press) : (2021)
  Publisher DOI
  
  
• Analysis of semi-open queueing networks using lost customers approximation with an application to robotic mobile fulfilment systems - Article
  Otten, Sonja; Krenzler, Ruslan; Xie, Lin; Daduna, Hans; Kruse, Karsten
  OR Spectrum: 1-46 (in Press) : (2021)
  Open Access Publisher DOI
  
  
• Extension of vector-valued functions and weak-strong principles for differentiable functions of finite order - Article
  Kruse, Karsten
  Annals of Functional Analysis 13 (1): 1-26 (2021-12-06)
  Open Access Publisher DOI
  
  
• Data for Analysis of semi-open queueing networks using lost customers approximation with an application to robotic mobile fulfilment systems - Dataset
  Otten, Sonja; Krenzler, Ruslan; Xie, Lin; Daduna, Hans; Kruse, Karsten
  Open Access
  
  
• Minimal Families of Limit Operators - Preprint
  Lindner, Marko
  arXiv: 2111.13750v1 (2021-11-26)
  
  
• Cross–series–parallel digraphs - Article
  Dornemann, Jorin; Schrader, Rainer
  Discrete Applied Mathematics 303: 57-65 (2021-11-15)
  Publisher DOI
  
  
• Maker-Breaker games on randomly perturbed graphs - Article
  Clemens, Dennis; Hamann, Fabian; Mogge, Yannick; Parczyk, Olaf
  SIAM Journal on Discrete Mathematics 35 (4): 2723-2748 (2021)
  Publisher DOI
  
  
• The inhomogeneous Cauchy-Riemann equation for weighted smooth vector-valued functions on strips with holes - Article
  Kruse, Karsten
  Collectanea Mathematica (in Press) : (2021)
  Open Access Publisher DOI
  
  
• Analysis Code for Finite Sections of Periodic Schrödinger Operators - Software
  Gabel, Fabian Nuraddin Alexander; Gallaun, Dennis; Großmann, Julian Peter; Lindner, Marko; Ukena, Riko
  Open Access
  
  
• Finite sections of periodic Schrödinger operators - Article
  Gabel, Fabian Nuraddin Alexander; Gallaun, Dennis; Großmann, Julian Peter; Lindner, Marko; Ukena, Riko
  arXiv: 2110.09339v1 (2021)
  
  
• Synchrony in gene regulatory networks - Article
  Aguiar, Manuela A. D.; Dias, Ana Paula S.; Ruan, Haibo
  Physica D: Nonlinear Phenomena 429 : 133065 (2021)
  Publisher DOI
  
  
• The time derivative - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 31-49 (2022-01-01)
  Open Access Publisher DOI
  
  
• Evolutionary inclusions - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 275-297 (2022-01-01)
  Open Access Publisher DOI
  
  
• Maximal regularity - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 243-258 (2022-01-01)
  Open Access Publisher DOI
  
  
• Continuous dependence on the coefficients I - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 205-220 (2022-01-01)
  Open Access Publisher DOI
  
  
• Continuous dependence on the coefficients II - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 221-241 (2021-09-28)
  Open Access Publisher DOI
  
  
• The Fourier–Laplace transformation and material law operators - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 67-83 (2022-01-01)
  Open Access Publisher DOI
  
  
• Non-autonomous evolutionary equations - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 259-273 (2022-01-01)
  Open Access Publisher DOI
  
  
• Boundary value problems and boundary value spaces - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 189-204 (2022-01-01)
  Open Access Publisher DOI
  
  
• Differential algebraic equations - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 149-165 (2022-01-01)
  Open Access Publisher DOI
  
  
• Causality and a Theorem of paley and wiener - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 119-130 (2022-01-01)
  Open Access Publisher DOI
  
  
• Solution theory for evolutionary equations - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 85-102 (2022-01-01)
  Open Access Publisher DOI
  
  
• Examples of evolutionary equations - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 103-117 (2022-01-01)
  Open Access Publisher DOI
  
  
• Initial value problems and extrapolation spaces - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 131-148 (2022-01-01)
  Open Access Publisher DOI
  
  
• Unbounded operators - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 15-30 (2022-01-01)
  Open Access Publisher DOI
  
  
• Introduction - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 1-13 (2022-01-01)
  Open Access Publisher DOI
  
  
• Ordinary differential equations - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 51-66 (2022-01-01)
  Open Access Publisher DOI
  
  
• Exponential stability of evolutionary equations - inBook
  Seifert, Christian; Trostorff, Sascha; Waurick, Marcus
  Operator Theory: Advances and Applications 287: 167-188 (2022-01-01)
  Open Access Publisher DOI
  
  
• Non-standard limits for a family of autoregressive stochastic sequences - Article
  Foss, Sergey; Schulte, Matthias
  Stochastic Processes and their Applications 142: 432-461 (2021-12-01)
  Publisher DOI
  
  
• Assessing Security of Cryptocurrencies with Attack-Defense Trees: Proof of Concept and Future Directions - inProceedings
  Eisentraut, Julia; Holzer, Stephan; Klioba, Katharina; Křetínský, Jan; Pin, Lukas; Wagner, Alexander
  International Colloquium on Theoretical Aspects of Computing (ICTAC 2021)
  Publisher DOI
  
  
• Twelve ways to fool the masses when giving parallel-in-time results - inProceedings
  Götschel, Sebastian; Minion, Michael; Ruprecht, Daniel; Speck, Robert
  Springer Proceedings in Mathematics and Statistics 356: 81-94 (2021)
  Publisher DOI
  
  
• High Quality Tasks for E-Assessment in Mathematics - inProceedings
  Gallaun, Dennis; Kruse, Karsten; Seifert, Christian
  The 20th SEFI Special Interest Group in Mathematics - SIG in Mathematics (SEFI 2021)
  
  
• Connector-Breaker games on random boards - Article
  Clemens, Dennis; Kirsch, Laurin; Mogge, Yannick
  Electronic Journal of Combinatorics 28 (3): P3.10 (2021)
  Open Access Publisher DOI
  
  
• Performance of the BGSDC integrator for computing fast ion trajectories in nuclear fusion reactors - Article
  Tretiak, Krasymyr; Buchanan, James; Akers, Rob; Ruprecht, Daniel
  Computer Physics Communications 264: 107876 (2021-07)
  Open Access Publisher DOI
  
  
• Surjectivity of the ∂-operator between weighted spaces of smooth vector-valued functions - Article
  Kruse, Karsten
  Complex Variables and Elliptic Equations : 1945587 (2021) (in press; CC BY 4.0)
  Publisher DOI
  
  
• Random perturbation of sparse graphs - Article
  Hahn-Klimroth, Max; Maesaka, Giulia Satiko; Mogge, Yannick; Mohr, Samuel; Parczyk, Olaf
  Electronic Journal of Combinatorics 28 (2): #P2.26 (2021)
  Open Access Publisher DOI
  
  
• Reconstruction of low-rank aggregation kernels in univariate population balance equations - Article
  Ahrens, Robin; Le Borne, Sabine
  Advances in Computational Mathematics 47 (3): 39 (2021-06-01)
  Open Access Publisher DOI
  
  
• Maximum size of r-cross t-intersecting families - inProceedings
  Gupta, Pranshu; Mogge, Yannick; Piga, Simón; Schülke, Bjarne
  11th Latin and American Algorithms, Graphs and Optimization Symposium (LAGOS 2021)
  Publisher DOI
  
  
• Subordination for sequentially equicontinuous equibounded C₀-semigroups - Article
  Kruse, Karsten; Meichsner, Jan; Seifert, Christian
  Journal of Evolution Equations 21 (2): 2665-2690 (2021-06-01)
  Open Access Publisher DOI
  
  
• Reduced lattices of synchrony subspaces and their indices - Article
  Kamei, Hiroko; Ruan, Haibo
  SIAM Journal on Applied Dynamical Systems 20 (2): 636-670 (2021-04-08)
  Publisher DOI
  
  
• On a class of degenerate abstract parabolic problems and applications to some Eddy Current models - Article
  Waurick, Marcus; Picard, Rainer; Trostorff, Sascha; Pauly, Dirk
  Journal of functional analysis 280 (7): 108847 (2021-04)
  Publisher DOI
  
  
• Hidden symmetries, coupled networks and equivariant degrees - Article
  Ruan, Haibo
  International journal of bifurcation and chaos (IJBC) 31 (5): 2150073 (2021-04)
  Publisher DOI
  
  
• Series representations in spaces of vector-valued functions via Schauder decompositions - Article
  Kruse, Karsten
  Mathematische Nachrichten 294 (2): 354-376 (2021-02)
  Open Access Publisher DOI
  
  
• On evolution equations and spectral theory - Thesis
  Seifert, Christian
  Technische Universität Hamburg (2021)
  
  
• Enumeration of s-omino towers and row-convex k-omino towers - Article
  Haupt, Alexander
  Journal of Integer Sequences 24 (3): 21.3.6 (2021)
  
  
• New combinatorial proofs for enumeration problems and random anchored structures - Thesis
  Haupt, Alexander
  Technische Universität Hamburg (2021)
  Open Access
  
  
• Two-scale homogenization of abstract linear time-dependent PDEs - Article
  Neukamm, Stefan; Varga, Mario; Waurick, Marcus
  Asymptotic Analysis 125 (3-4): 247-287 (2021)
  Publisher DOI
  
  
• Fractional powers of linear operators in locally convex vector spaces - Thesis
  Meichsner, Jan
  Technische Universität Hamburg (2021)
  Open Access
  
  
• Poisson approximation with applications to stochastic geometry - Article
  Pianoforte, Federico; Schulte, Matthias
  Electronic Journal of Probability 26 : 149 (2021)
  Publisher DOI
  
  
• On Some Consequences of the Solvability of the Caffarelli–Silvestre Extension Problem - inProceedings
  Meichsner, Jan; Seifert, Christian
  in: Operator Theory: Advances and Applications 282: 441-453 (2021)
  Publisher DOI
  
  
• A spanning bandwidth theorem in random graphs - Article
  Allen, Peter; Böttcher, Julia; Ehrenmüller, Julia; Schnitzer, Jakob; Taraz, Anusch
  Combinatorics Probability and Computing (in Press) : (2021)
  Publisher DOI
  
  
• Anwendungsbezogene elektronische Übungsaufgaben in Ingenieurmathematik - inProceedings
  Gallaun, Dennis; Kruse, Karsten; Seifert, Christian
  Beiträge zum Mathematikunterricht : vom GDM-Monat der Gesellschaft für Didaktik der Mathematik (GDM 2021)
  Publisher DOI
  
  
• A note on traces of forms with applications to the Bessel operator - inProceedings
  BenAmor, Ali; Moussa, Rafed; Seifert, Christian
  International Conference on Operator Theory (2021)
  Publisher DOI
  
  
• On the size-Ramsey number of grid graphs - Article
  Clemens, Dennis; Miralaei, Meysam; Reding, Damian; Schacht, Mathias; Taraz, Anusch
  Combinatorics Probability and Computing : 1-16 (2021) (in press; CC BY 4.0)
  Publisher DOI
  
  
• A survey on variational characterizations for nonlinear Eigenvalue problems - Article
  Lampe, Jörg; Voß, Heinrich
  Electronic Transactions on Numerical Analysis 55 : 1-75 (2021)
  Publisher DOI
  
  
• Waiter-Client Games on Randomly Perturbed Graphs - Article
  Clemens, Dennis; Hamann, Fabian; Mogge, Yannick; Parczyk, Olaf
  Trends in Mathematics 14: 397-403 (2021)
  Publisher DOI
  
  

Projekte

• TIME-X - TIME parallelisation: for eXascale computing and beyond
  European Commission; Laufzeit 2021 - 2024
  Projektleitung: Ruprecht, Daniel
  
  
• GRK2583 - Modellierung, Simulation und Optimierung mit fluiddynamischen Anwendungen
  Deutsche Forschungsgemeinschaft (DFG); Laufzeit 2020 - 2024
  Projektleitung: Rung, Thomas
  Co-Projektleitung: Le Borne, Sabine
  Mitarbeitende: Müller, Peter Marvin; Beddig, Rebekka Salome
  
  
• DASHH Helmholtz Graduiertenkolleg
  Helmholtz-Zentrum Hereon; Laufzeit 2019 - 2025
  Projektleitung: Le Borne, Sabine
  
  
• I³-Lab - Business Analytics – Optimierungspotenziale und strategische Risiken für maritime logistische Systeme
  Technische Universität Hamburg; Laufzeit 2019 - 2022
  Projektleitung: Fischer, Kathrin; Wrona, Thomas; Jahn, Carlos; Taraz, Anusch