Exact transient analysis of a planar random motion with three directions

DOI10.1080/10451120290019186zbMath0997.60058OpenAlexW2032541035MaRDI QIDQ4542932

Antonio Di Crescenzo

Publication date: 13 November 2002

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10451120290019186

zbMATH Keywords

exponential random timesalternating renewal processplanar random motionexact probability distributiontwo-index Bessel function

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Stochastic processes (60G99)

Related Items (13)

Generalized Telegraph Process with Random Delays ⋮ Stochastic dynamics of generalized planar random motions with orthogonal directions ⋮ Random motions in \(\mathbb{R}^3\) with orthogonal directions ⋮ Analysis of fractional Cauchy problems with some probabilistic applications ⋮ On random flights with non-uniformly distributed directions ⋮ Random flights connecting porous medium and Euler–Poisson–Darboux equations ⋮ Flying randomly in \(\mathbb R^d\) with Dirichlet displacements ⋮ Bose-Einstein-type statistics, order statistics and planar random motions with three directions ⋮ Telegraph processes with random velocities ⋮ Cyclic random motions in $\mathbb{R}^d$-space withndirections ⋮ An alternating motion with stops and the related planar, cyclic motion with four directions ⋮ A planar random motion with an infinite number of directions controlled by the damped wave equation ⋮ On some finite-velocity random motions driven by the geometric counting process

Cites Work

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• Analysis of a Finite-Velocity Planar Random Motion with Reflection
• Recurrent ring dynamics in two-dimensional excitable cellular automata
• Setups in polling models: does it make sense to set up if no work is waiting?
• Exact Joint Distribution In a Model of Planar Random Motion

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