The convex hull of the run-and-tumble particle in a plane

DOI10.1088/1742-5468/ab7c5fzbMath1456.60105arXiv1912.08778OpenAlexW2995348858MaRDI QIDQ5135142

Satya N. Majumdar, Hendrik Schawe, Alexander K. Hartmann, Grégory Schehr

Publication date: 19 November 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08778

zbMATH Keywords

stochastic processesextreme value statistics

Mathematics Subject Classification ID

Statistics of extreme values; tail inference (62G32) Sums of independent random variables; random walks (60G50) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

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A note on the conditional probabilities of the telegraph process ⋮ Mean area of the convex hull of a run and tumble particle in two dimensions ⋮ Long time behavior of run-and-tumble particles in two dimensions ⋮ Stochastic dynamics of generalized planar random motions with orthogonal directions ⋮ Random motions in \(\mathbb{R}^3\) with orthogonal directions ⋮ Expected maximum of bridge random walks & Lévy flights ⋮ Large deviations at various levels for run-and-tumble processes with space-dependent velocities and space-dependent switching rates ⋮ Survival probability of a run-and-tumble particle in the presence of a drift ⋮ AOUP in the presence of Brownian noise: a perturbative approach ⋮ Run-and-tumble particle in inhomogeneous media in one dimension ⋮ Crossover behaviours exhibited by fluctuations and correlations in a chain of active particles ⋮ Universal framework for the long-time position distribution of free active particles ⋮ Run-and-tumble particles on a line with a fertile site ⋮ Generating constrained run-and-tumble trajectories

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