Preprints

Please inform us about new preprints by sending an email to to spp2265[at]wias-berlin.de with the corresponding data (title, author names, the corresponding project and the arxiv link, which contains the month of appearance). If a preprint has been accepted and published, please send the link to the paper of the website of the publisher to spp2265[at]wias-berlin.de.
Number Authors Title Project Date Link
72 Matthew Dickson
Markus Heydenreich

The Triangle Condition for the Marked Random Connection Model

09 10/2022 arxiv
71 Markus Heydenreich
Lorenzo Taggi
Niccolo Torri

Prudent walk in dimension six and higher

09, 22 10/2022 arxiv
70 Moritz Otto
Christoph Thäle

Large nearest neighbour balls in hyperbolic stochastic geometry

23 09/2022 arxiv
69 René Wittmann
Sabine Jansen
Hartmut Löwen

Geometric criteria for the absence of effective many-body interactions in nonadditive hard particle mixtures

17 09/2022 arxiv
68 Paul A. Monderkamp
Fabian Jan Schwarzendahl
Michael A. Klatt
Hartmut Löwen

Active particles using reinforcement learning to navigate in complex motility landscapes

17 09/2022 arxiv
67 Peter Gracar
Arne Grauer

The contact process on scale-free geometric random graphs

19 08/2022 arxiv
66 Céline Kerriou
Peter Mörters

The fewest-big-jumps principle and an application to random graphs

19 06/2022 arxiv
65 Christoph Thäle
Holger Sambale
Nils Heerten

Probabilistic Limit Theorems for the Coefficients of a Class of Root-Unitary Polynomials

23 06/2022 arxiv
64 Alexandra Quitmann
Lorenzo Taggi

Macroscopic loops in the 3d double dimer model

22 06/2022 arxiv
63 Anna Gusakova
Johannes Heiny
Christoph Thäle

The volume of random simplices from elliptical distributions in high dimension

23 06/2022 arxiv
62 Alexander Drewitz
Olof Elias
Alexis Prévost
Johan Tykesson
Fredrik Viklund

Percolation for two-dimensional excursion clouds and the discrete Gaussian free field

04 05/2022 arxiv
61 Zakhar Kabluchko
Daniel Rosen
Christoph Thäle

Fluctuations of λ-geodesic Poisson hyperplanes in hyperbolic space

14, 23 05/2022 arxiv
60 Florian Besau
Daniel Rosen
Christoph Thäle

Random inscribed polytopes in projective geometries

23 05/2022 arxiv published
59 Martin Huesmann
Francesco Mattesini
Dario Trevisan

Wasserstein Asymptotics for the Empirical Measure of Fractional Brownian Motion on a Flat Torus

10 05/2022 arxiv
58 Carina Betken
Tom Kaufmann
Kathrin Meier
Christoph Thäle

Second-order properties for planar Mondrian tessellations

23 04/2022 arxiv
57 Anna Gusakova
Matthias Reitzner
Christoph Thäle

Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon

23 04/2022 arxiv
56 Michael A. Klatt
Max Hörmann
Klaus Mecke

Characterization of anisotropic Gaussian random fields by Minkowski tensors

17 04/2022 published
55 Michael A. Klatt
Steffen Winter

Geometric functionals of fractal percolation. II. Almost sure convergence and second moments

17 04/2022 arxiv
54 Peter Gracar
Lukas Lüchtrath
Christian Mönch

Finiteness of the percolation threshold for inhomogeneous long-range models in one dimension

18 03/2022 arxiv
53 Florian Besau
Anna Gusakova
Matthias Reitzner
Carsten Schütt
Christoph Thäle
Elisabeth Werner

Spherical convex hull of random points on a wedge

23 03/2022 arxiv
52 Lorenzo Caprini
Umberto Marini Bettolo Marconi
René Wittmann
Hartmut Löwen

Active particles driven by competing spatially dependent self-propulsion and external force

17 03/2022 arxiv
51 Carina Betken
Christoph Thäle

Approaching the coupon collector's problem with group drawings via Stein's method

23 02/2022 arxiv
50 Steven Hoehner
Ben Li
Michael Roysdon
Christoph Thäle

Asymptotic expected $T$-functionals of random polytopes with applications to $L_p$ surface areas

23 02/2022 arxiv
49 Orphée Collin
Benedikt Jahnel
Wolfgang König

The free energy of a box-version of the interacting Bose gas

04 01/2022 arxiv
48 Alexandra Quitmann
Lorenzo Taggi

Macroscopic loops in the Bose gas, Spin O(N) and related models

22 01/2022 arxiv
47 Lorenzo Caprini
Alexander R. Sprenger
Hartmut Löwen
René Wittmann

The parental active model: A unifying stochastic description of self-propulsion

17 01/2022 arxiv published
46 A. R. Sprenger
C. Bair
H. Löwen

Active Brownian motion with memory delay induced by a viscoelastic medium

17 01/2022 published
45 Luisa Andreis
Wolfgang König
Heide Langhammer
Robert I.A. Patterson

A large-deviations principle for all the components in a sparse inhomogeneous random graph

01 11/2021 arxiv
44 Lorenzo Caprini
Umberto Marini Bettolo Marconi
René Wittmann
Hartmut Löwen

Dynamics of active particles with space-dependent swim velocity

17 11/2021 arxiv published
43 Margherita Disertori
Franz Merkl
Silke W.W. Rolles

The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions

03 11/2021 arxiv
42 Carina Betken
Matthias Schulte
Christoph Thäle

Variance asymptotics and central limit theory for geometric functionals of Poisson cylinder processes

23 11/2021 arxiv published
41 Zakhar Kabluchko
Joscha Prochno

Large deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributions

14 10/2021 arxiv
40 Zakhar Kabluchko

Face numbers of high-dimensional Poisson zero cells

14 10/2021 arxiv
39 Iman Abdoli
René Wittmann
Joseph Michael Brader
Jens-Uwe Sommer
Hartmut Löwen
Abhinav Sharma

Brownian magneto-gyrator as a tunable microengine

17 10/2021 arxiv published
38 Martin Huesmann
Francesco Mattesini
Felix Otto

There is no stationary cyclically monotone Poisson matching in 2d.

10 09/2021 arxiv
37 Alexander Drewitz
Bingxiao Liu
George Marinescu

Large deviations for zeros of holomorphic sections on punctured Riemann surfaces

05 09/2021 arxiv
36 Thomas Godland
Zakhar Kabluchko
Christoph Thäle

Beta-star polytopes and hyperbolic stochastic geometry.

14, 23 09/2021 arxiv published
35 Christian Mönch
Amr Rizk

DAG-type Distributed Ledgers via Young-age Preferential Attachment

18 09/2021 arxiv
34 G. H. Philipp Nguyen
René Wittmann
Hartmut Löwen

Active Ornstein-Uhlenbeck model for self-propelled particles with inertia

17 08/2021 arxiv published
33 Peter Gracar
Arne Grauer
Peter Mörters

Chemical distance in geometric random graphs with long edges and scale-free degree distribution.

19 08/2021 arxiv published
32 Anna Gusakova
Zakhar Kabluchko
Christoph Thäle

The $\beta$-Delaunay tessellation IV: Mixing properties and central limit theorems.

14, 23 08/2021 arxiv
31 Peter Eichelsbacher
Benedikt Rednoß
Christoph Thäle
Guangqu Zheng

A simplified second-order Gaussian Poincaré inequality in discrete setting with applications

23 08/2021 arxiv
30 Zakhar Kabluchko

On expected face numbers of random beta and beta' polytopes.

14 07/2021 arxiv published
29 Thomas Godland
Zakhar Kabluchko
Christoph Thäle

Random cones in high dimensions II: Weyl cones

14, 23 06/2021 arxiv published
28 Lorenzo Dello Schiavo
Ronan Herry
Eva Kopfer
Karl-Theodor Sturm

Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension

15 05/2021 arxiv
27 Zakhar Kabluchko
Alexander Marynych

Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks.

14 05/2021 arxiv
26 Stein Andreas Bethuelsen
Matthias Birkner
Andrej Depperschmidt
Timo Schlüter

Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster

02 05/2021 arxiv
25 Michael Goldman
Martin Huesmann

A fluctuation result for the displacement in the optimal matching problem

10 05/2021 arxiv
24 Thomas Godland
Zakhar Kabluchko

Positive hulls of random walks and bridges.

14 04/2021 arxiv published
23 Anna Gusakova
Zakhar Kabluchko
Christoph Thäle

The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions

14, 23 04/2021 arxiv published
22 Samuel Johnston
Zakhar Kabluchko
Joscha Prochno

Projections of the uniform distribution on the cube - a large deviation perspective.

14 03/2021 arxiv published
21 Anna Gusakova
Zakhar Kabluchko
Christoph Thäle

The β-Delaunay tessellation II: The Gaussian limit tessellation

14, 23 01/2021 arxiv published
20 Dan Coman
George Marinescu

Equidistribution for weakly holomorphic sections of line bundles on algebraic curves

05 12/2020 arxiv published
19 Dan Coman
Wen Lu
Ma Xiaonan
George Marinescu

Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds

05 12/2020 arxiv
18 M. te Vrugt
H. Löwen
R. Wittkowski

Classical dynamical density functional theory: from fundamentals to applications

17 12/2020 published
17 Lorenzo Dello Schiavo
Eva Kopfer
Karl-Theodor Sturm

A Discovery Tour in Random Riemannian Geometry

15 12/2020 arxiv
16 Thomas Godland
Zakhar Kabluchko
Christoph Thäle

Random cones in high dimensions I: Donoho-Tanner and Cover-Efron cones

14, 23 12/2020 arxiv
15 Anna Gusakova
Christoph Thäle

On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems

23 11/2020 arxiv published
14 Luisa Andreis
Wolfgang Koenig
Robert Patterson

A large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graph

01 10/2020 arxiv
13 Thomas Godland
Zakhar Kabluchko

Projections and angle sums of permutohedra and other polytopes.

14 09/2020 arxiv
12 Anna Gusakova
Holger Sambale
Christoph Thäle

Concentration on Poisson spaces via modified Φ-Sobolev inequalities

23 09/2020 arxiv published
11 Peter Gracar
Markus Heydenreich
Christian Mönch
Peter Mörters

Transience Versus Recurrence for Scale-Free Spatial Networks

09, 18, 19 09/2020 published
10 Stein Andreas Bethuelsen
Christian Hirsch
Christian Mönch

Quenched invariance principle for random walks on dynamically averaging random conductances

18 09/2020 arxiv published
9 René Wittmann
Hartmut Löwen
Joseph M. Brader

Order-preserving dynamics in one dimension – single-file diffusion and caging from the perspective of dynamical density functional theory

17 08/2020 arxiv published
8 Thomas Godland
Zakhar Kabluchko
Dmitry Zaporozhets

Angle sums of random polytopes.

14 07/2020 arxiv
7 Thomas Godland
Zakhar Kabluchko

Angle sums of Schläfli orthoschemes.

14 07/2020 arxiv published
6 Thomas Godland
Zakhar Kabluchko

Conical intrinsic volumes of Weyl chambers.

14 05/2020 arxiv
5 Thomas Godland
Zakhar Kabluchko

Conical tessellations associated with Weyl chambers.

14 04/2020 arxiv published
4 Peter Gracar
Lukas Lüchtrath
Peter Mörters

Percolation phase transition in weight-dependent random connection models.

19 03/2020 arxiv
3 Peter Gracar
Markus Heydenreich
Christian Mönch
Peter Mörters

Recurrence vs transience for weight-dependent random connection models.

09, 18, 19 11/2019 arxiv published
2 Felix Herold
Daniel Hug
Christoph Thäle

Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?

23 11/2019 arxiv published
1 Christian Mönch

Universality for Persistence Exponents of Local Times of Self-Similar Processes with Stationary Increments

18 11/2018 arxiv published
The Triangle Condition for the Marked Random Connection ModelPrudent walk in dimension six and higherLarge nearest neighbour balls in hyperbolic stochastic geometryGeometric criteria for the absence of effective many-body interactions in nonadditive hard particle mixturesActive particles using reinforcement learning to navigate in complex motility landscapesThe contact process on scale-free geometric random graphsThe fewest-big-jumps principle and an application to random graphsProbabilistic Limit Theorems for the Coefficients of a Class of Root-Unitary PolynomialsMacroscopic loops in the 3d double dimer modelThe volume of random simplices from elliptical distributions in high dimensionPercolation for two-dimensional excursion clouds and the discrete Gaussian free fieldFluctuations of λ-geodesic Poisson hyperplanes in hyperbolic spaceRandom inscribed polytopes in projective geometriesWasserstein Asymptotics for the Empirical Measure of Fractional Brownian Motion on a Flat TorusSecond-order properties for planar Mondrian tessellationsVariance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygonCharacterization of anisotropic Gaussian random fields by Minkowski tensorsGeometric functionals of fractal percolation. II. Almost sure convergence and second momentsFiniteness of the percolation threshold for inhomogeneous long-range models in one dimensionSpherical convex hull of random points on a wedgeActive particles driven by competing spatially dependent self-propulsion and external forceApproaching the coupon collector's problem with group drawings via Stein's methodAsymptotic expected $T$-functionals of random polytopes with applications to $L_p$ surface areasThe free energy of a box-version of the interacting Bose gasMacroscopic loops in the Bose gas, Spin O(N) and related modelsThe parental active model: A unifying stochastic description of self-propulsionActive Brownian motion with memory delay induced by a viscoelastic mediumA large-deviations principle for all the components in a sparse inhomogeneous random graphDynamics of active particles with space-dependent swim velocityThe non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactionsVariance asymptotics and central limit theory for geometric functionals of Poisson cylinder processesLarge deviations for random matrices in the orthogonal group and Stiefel manifold with applications to random projections of product distributionsFace numbers of high-dimensional Poisson zero cellsBrownian magneto-gyrator as a tunable microengineThere is no stationary cyclically monotone Poisson matching in 2d.Large deviations for zeros of holomorphic sections on punctured Riemann surfacesBeta-star polytopes and hyperbolic stochastic geometry.DAG-type Distributed Ledgers via Young-age Preferential AttachmentActive Ornstein-Uhlenbeck model for self-propelled particles with inertiaChemical distance in geometric random graphs with long edges and scale-free degree distribution.The $\beta$-Delaunay tessellation IV: Mixing properties and central limit theorems.A simplified second-order Gaussian Poincaré inequality in discrete setting with applicationsOn expected face numbers of random beta and beta' polytopes.Random cones in high dimensions II: Weyl conesConformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimensionLah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks.Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation clusterA fluctuation result for the displacement in the optimal matching problemPositive hulls of random walks and bridges.The β-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensionsProjections of the uniform distribution on the cube - a large deviation perspective.The β-Delaunay tessellation II: The Gaussian limit tessellationEquidistribution for weakly holomorphic sections of line bundles on algebraic curvesBergman kernels and equidistribution for sequences of line bundles on Kähler manifoldsClassical dynamical density functional theory: from fundamentals to applicationsA Discovery Tour in Random Riemannian GeometryRandom cones in high dimensions I: Donoho-Tanner and Cover-Efron conesOn random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theoremsA large-deviations principle for all the cluster sizes of a sparse Erdős-Rényi graphProjections and angle sums of permutohedra and other polytopes.Concentration on Poisson spaces via modified Φ-Sobolev inequalities Transience Versus Recurrence for Scale-Free Spatial NetworksQuenched invariance principle for random walks on dynamically averaging random conductancesOrder-preserving dynamics in one dimension – single-file diffusion and caging from the perspective of dynamical density functional theoryAngle sums of random polytopes.Angle sums of Schläfli orthoschemes.Conical intrinsic volumes of Weyl chambers.Conical tessellations associated with Weyl chambers.Percolation phase transition in weight-dependent random connection models.Recurrence vs transience for weight-dependent random connection models.Does a central limit theorem hold for the k-skeleton of Poisson hyperplanes in hyperbolic space?Universality for Persistence Exponents of Local Times of Self-Similar Processes with Stationary Increments