Preprints
Please inform us about new preprints by sending the corresponding Arxiv link to spp2265[at]wias-berlin.de (Willem van Zuijlen). In case the preprint has been accepted and published, please send the link to the paper.
Transience of vertex-reinforced jump processes with long-range jumpsCritical Exponents for Marked Random Connection ModelsOptimal transport of stationary point processes: Metric structure, gradient flow and convexity of the specific entropyFoundation of classical dynamical density functional theory: uniqueness of time-dependent density-potential mappingsVisibility in Brownain interlacements, Poisson cylinders and Boolean modelsSurvival and complete convergence for a branching annihilating random walkLarge deviations for hyperbolic k-nearest neighbor ballsOn questions of uniqueness for the vacant set of Wiener sausages and Brownian interlacementsUniqueness of the infinite connected component for the vacant set of random interlacements on amenable transient graphsThe heat flow, GAF, and SL(2;R)Moderate deviations on Poisson chaosA quantitative central limit theorem for Poisson horospheres in high dimensionsStatistics of carrier-cargo complexesSmectic structures in button-like confinements: experiment and theoryTransportation of random measures not charging small setsAnnealed quantitative estimates for the quadratic 2D-discrete random matching problemIntersections of Poisson k-flats in constant curvature spacesGaussian holomorphic sections on noncompact complex manifoldsPolyharmonic Fields and Liouville Quantum Gravity Measures on Tori of Arbitrary Dimension: from Discrete to ContinuousSectional Voronoi tessellations: Characterization and high-dimensional limitsDynamics of active particles with translational and rotational inertiaTailoring the escape rate of a Brownian particle by combining a vortex flow with a magnetic fieldOn the tightness of the maximum of branching Brownian motion in random environment
Mechano-self-regulation of bacterial size in growing coloniesWave propagation and band tails of two-dimensional disordered systems in the thermodynamic limitRandom Walks in the High-Dimensional Limit, I.The Triangle Condition for the Marked Random Connection ModelA genuine test for hyperuniformityPrudent walk in dimension six and higherThe proportion of triangles in a class of anisotropic Poisson line tessellationsLarge nearest neighbour balls in hyperbolic stochastic geometryLimit theorems for mixed-norm sequence spaces with applications to volume distributionGeometric criteria for the absence of effective many-body interactions in nonadditive hard particle mixturesActive particles using reinforcement learning to navigate in complex motility landscapesGroup theoretical approach to elasticity under constraints and predeformationsThe contact process on scale-free geometric random graphsThe fewest-big-jumps principle and an application to random graphsRole of rotational inertia for collective phenomena in active matterCollisions Enhance Self-Diffusion in Odd-Diffusive SystemsProbabilistic Limit Theorems for the Coefficients of a Class of Root-Unitary PolynomialsMacroscopic loops in the 3d double dimer modelA one-dimensional three-state run-and-tumble model with a ‘cell cycle’The 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 velocityBrownian particles driven by spatially periodic noiseThe non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactionsAnomalous Cooling and Overcooling of
Active ColloidsVariance asymptotics and central limit theory for geometric functionals of Poisson cylinder processesThe Wasserstein distance to the Circular LawLarge 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 conductancesOn strongly rigid hyperfluctuating random measuresOrder-preserving dynamics in one dimension – single-file diffusion and
caging from the perspective of dynamical density functional theoryVariational approach to regularity of optimal transport maps: general cost functionsAngle 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.Sharp boundary ε-regularity of optimal transport mapsRecurrence 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