Multidimensional random motion with uniformly distributed changes of direction and Erlang steps

DOI10.1007/S11253-011-0533-9zbMath1238.60095OpenAlexW2065189477MaRDI QIDQ765428

Anatoliy A. Pogorui, Ramón Martin Rodríguez Dagnino

Publication date: 19 March 2012

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://eprints.zu.edu.ua/13240/1/Pogoruj.pdf

zbMATH Keywords

2-Erlang-distributed sojourn timesnonexponentially distributed sojourn timesprobability density function in three dimensionstransport processes in \(\mathbb R^{n}\)

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Probability theory and stochastic processes (60-XX)

Cites Work

• Exact probability distributions for noncorrelated random walk models
• Random motions at finite speed in higher dimensions
• Random flights in higher spaces
• On random motions with velocities alternating at Erlang-distributed random times
• Asymptotic analysis of phase averaging of a transport process
• One-dimensional semi-Markov evolutions with general Erlang sojourn times
• Isotropic Transport Process on a Riemannian Manifold
• Diffusion Approximation with Equilibrium for Evolutionary Systems Switched by Semi-Markov Processes
• Fourier Transforms. (AM-19)
• A Pearson random walk with steps of uniform orientation and Dirichlet distributed lengths

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