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Research Centre for Mathematical Modelling (RCM²)

Campus der Universität Bielefeld — © Universität Bielefeld

RCM²- sample publications

The following collection of articles is aimed to provide a representative sample of current RCM² projects. For a full list of publications see the web pages of the RCM² members.

2024

M. Baake, F. Gähler, L. Sadun:
Dynamics and topology of the Hat family of tilings,
arXiv:2305.05639.
W.-J. Beyn, T. Hüls:
Smoothness properties of principal angles between subspaces with applications to angular values of dynamical systems,
Dynamical Systems, to appear, arXiv:2303.07918.
F. Cordero, S. Hummel, G. Véchambre:
Λ--Wright--Fisher processes with general selection and opposing environmental effects: fixation and coexistence,
preprint, arXiv:2112.10560.
D. Frettlöh, A. Garber, N. Mañibo:
Substitution tilings with transcendental inflation factor,
Discrete Analysis, accepted
A. Iksanov and V. Wachtel:
Precise tail behavior of some Dirichlet series,
J. Theor. Probab., to appear
D. Denisov, N. Gotthardt, D. Korshunov and V. Wachtel:
Probabilistic approach to risk processes with level-dependent premium rate,
preprint, arXiv:2311.02484.
D. Denisov and V. Wachtel:
Harmonic measure in a multidimensional gambler's problem,
preprint, arXiv:2212.11526.
R. Altmeyer, A. Tiepner, M. Wahl:
Optimal parameter estimation for linear SPDEs from multiple measurements
F.M. Thon, C. Müller, M.J. Wittmann:
The evolution of chemodiversity in plants—From verbal to quantitative models,
Ecology Letters 27 (2024), e14365.

2023

F. Cordero, G. Véchambre:
Moran models and Wright-Fisher diffusions with selection and mutation in a one-sided random environment,
Advances in Applied Probability, 55 (2023), 701-767.
M. Baake, F. Gähler, P. Gohlke:
Orbit separation dimension as complexity measure for primitive inflation tilings
preprint (2023).
F. Götze, H. Sambale:
Higher order concentration on Stiefel and Grassmann manifolds,
Electron. J. Probab. 28 (2023), Paper No. 79, 30.
P. Kenneweg, D. Stallmann, B. Hammer:
Novel transfer learning schemes based on Siamese networks and synthetic data,
Neural Comput. Appl. 35(11) (2023), 8423-8436.
F. Fumagalli, M. Muschalik, P. Kolpaczki, E. Hüllermeier, B. Hammer:
SHAP-IQ: Unified Approximation of any-order Shapley Interactions,
NeurIPS 2023
W.-J. Beyn, T. Hüls:
Angular values of nonautonomous linear dynamical systems: Part II - Reduction theory and algorithm,
SIAM Journal on Applied Dynamical Systems 22 no. 1 (2023) pp. 162-198.
W. Cawley Gelling, M.E. Nebel, B. Smith, S. Wild:
Multiway Powersort,
ALENEX (2023), 190–200.
L. Eigentler, K. Reinhold:
Maintenance and evolution of individual differences in a prey defence trait examined with a dynamic predator-prey model,
bioRxiv, 2023.12. 07.570589 (submitted).
K. Reinhold, L. Eigentler, D.W. Kikuchi:
Evolution of individual variation in a competitive trait: a theoretical analysis,
J. Evol. Biol. (2023), in press.
X. Luo, X. Kang, A. Schönhuth:
Predicting the prevalence of complex genetic diseases from individual genotype profiles using capsule networks,
Nat Mach Intell 5 (2023), 114-125.
M. J. Wittmann, S. Mousset, J. Hermisson:
Modeling the genetic footprint of fluctuating balancing selection: from the local to the genomic scale,
Genetics Volume 223, Issue 4, April 2023, iyad022.

2022

G. Akemann, A. Mielke, P. Päßler:
Spacing distribution in the 2D Coulomb gas: Surmise and symmetry classes of non-Hermitian random matrices at non-integer β,
Phys. Rev. E 106 (2022), 014146, 11 pp.
G. Akemann, M. Ebke, I. Parra:
Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels,
Commun. Math. Phys. 89 (2022), 621-659.
M. Baake, J. Sumner:
On equal-input and monotone Markov matrices,
J. Appl. Probab. 54 (2022) 460-492.
W.-J. Beyn, G. Froyland, T. Hüls:
Angular values of nonautonomous and random linear dynamical systems I: Fundamentals,
SIAM J. Appl. Dyn. Syst., 21 (2022) 1245-1286.
W.-J. Beyn, C. Döding:
Stability of traveling oscillating fronts in complex Ginzburg Landau equations,
SIAM J. Math. Anal. 54 (2022), 5447-5488.
F. Cordero, A. González Casanova, J. Schweinsberg, M. Wilke-Berenguer:
Λ-coalescents arising in a population with dormancy,
Electronic Journal of Probability/, 27 (2022), 1-34.
D. Frettlöh, A. Garber, L. Sadun:
Number of bounded distance equivalence classes in hulls of repetitive Delone sets,
Discrete Contin. Dyn. Syst. 42 (2022) 1403-1414
M. Baake, F. Gähler, J. Mazáč:
Fibonacci direct product variation tilings,
J. Math. Phys. 63 (2022), 082702.
Bédaride, F. Gähler, A. Lecuona:
Cohomology groups for spaces of 12-fold tilings,
IMRN 2022 (18), 14181-14254 (2022).
M. Bloznelis, F. Götze:
Edgeworth approximations for distributions of symmetric statistics,
Probab. Theory Related Fields 183 (2022), 1153-1235.
V. Vaquet, P. Menz, U. Seiffert, B. Hammer:
Investigating intensity and transversal drift in hyperspectral imaging data,
Neurocomputing 505 (2022), 68-79.
Nathan et al.:
Big-data approaches lead to an increased understanding of the ecology of animal movement,
Science (2022).
O. Sauzet, V. Cornelius:
Generalised Weibull model-based approaches to detect non-constant hazard to signal adverse drug reactions in longitudinal data,
Frontiers in Pharmacology, 13 (2022)
P. Bonizzoni, M. Costantini, C. De Felice, A. Petescia, Y. Pirola, M. Previtali, R. Rizzi, J. Stoye, R. Zaccagnino, R. Zizza:
Numeric Lyndon-based feature embedding of sequencing reads for machine learning approaches,
Information Sciences 607 (2022), 458-476.

2021

G. Akemann, M. Baake, N. Chakarov, O. Krüger, A. Mielke, M. Ottensmann, R. Werdehausen:
Territorial behaviour of buzzards versus random matrix spacing distributions,
J. Theor. Biol. 509 (2021), 110475, 7 pp.
E. Baake, A. Wakolbinger (eds.):
Probabilistic Structures in Evolution,
EMS Press, Berlin, 2021.
E. Baake, M. Baake:
Ancestral lines under recombinations,
in: E. Baake, A. Walkolbinger (eds.), Probabilistic Structures in Evolution, EMS Press, Berlin, 2021, pp. 365-382.
I. Arent, F.P. Schmidt, M. Botsch, V. Dürr:
Marker-less motion capture of insect locomotion with deep neural networks pre-trained on synthetic videos,
Front. Behav. Neurosci. 15: 637806.
D. Frettlöh, C. Richter:
Incongruent equipartitions of the plane into quadrangles of equal perimeters,
J. Combin. Theory Ser. A 182 (2021), Paper No. 105461.
L. Lieber, R. Langrock, A.M. Nimmo-Smith:
A bird's-eye view on turbulence: seabird foraging associations with evolving surface flow features,
Proceedings of the Royal Society B (2021).
N. Behr, J. Krivine, J.L. Andersen, D. Merkle:
Rewriting theory for the life sciences: A unifying theory of CTMC semantics,
Theor. Comput. Sci. 884 (2021), 68-115.
N. Nøjgaard, W. Fontana, M. Hellmuth, D. Merkle:
Cayley Graphs of Semi-groups Applied to Atom Tracking in Chemistry,
J. Comput. Biol. 28 (2021), 701-715.
R. Müller, M. Nebel:
On the use of sequence-quality information in OTU clustering,
PeerJ. (2021), PMID 34458017, PMCID PMC8375510.
D.W. Kikuchi, K. Reinhold:
Modelling migration in birds: competition’s role in maintaining individual variation,
Proc. Royal Soc. B 288 (2021), 7pp
O. Sauzet, J.H. Breiding, K.A. Zolitschka, J. Breckenkamp, O. Razum:
An ego-centred approach for the evaluation of spatial effects on health in urban areas based on parametric semi-variogram models: concept and validation,
BMC medical research methodology, 21(1) (2021), 1-12.
N. Hartung, M. Wahl, A. Rastogi, W. Huisinga:
Nonparametric goodness-of-fit testing for parametric covariate models in pharmacometric analyses,
CPT Pharmacometrics Syst. Pharmacol., 10 (2021), 564-576.
A. Celisse, M. Wahl:
Analyzing the discrepancy principle for kernelized spectral filter learining algorithms,
J. Mach. Learn. Res., 22 (2021), 59 pages
P. Nabutanyi & M. J. Wittmann:
Models for Eco-Evolutionary Extinction Vortices under Balancing Selection,
The American Naturalist 197:3 (2021), 336-350.