Stochastic billiards with Markovian reflections in generalized parabolic domains

DOI10.1214/23-aap1952arXiv2107.13976OpenAlexW3186141840MaRDI QIDQ6139685

Andrew R. Wade, Conrado da Costa, Mikhail V. Menshikov

Publication date: 19 January 2024

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.13976

zbMATH Keywords

half-striprecurrence classificationhorn-shaped domainstochastic billiardsnonhomogeneous random walkMarkov reflection

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50) Dynamical systems with singularities (billiards, etc.) (37C83)

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