On the influence of reflective boundary conditions on the statistics of Poisson-Kac diffusion processes
type: Item
instance of: scholarly article
title: On the influence of reflective boundary conditions on the statistics of Poisson-Kac diffusion processes
zbMATH Open document ID: 1400.60101
author: Massimiliano Giona
author: Antonio Brasiello
author: Silvestro Crescitelli
published in: Physica A
publication date: 2018-11-13T00:00:00Z
full work available at URL: https://arxiv.org/abs/1507.08851
Mathematics Subject Classification ID: 60J60
Mathematics Subject Classification ID: 28A80
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 6977923
zbMATH Keywords: diffusion
zbMATH Keywords: Poisson-Kac process
zbMATH Keywords: hyperbolic stochastic models
zbMATH Keywords: transport on fractals
zbMATH Keywords: emerging statistical properties
MaRDI profile type: Publication
OpenAlex ID: W2199363976
arXiv ID: 1507.08851
cites work: Q3236913
cites work: Handbook of stochastic methods for physics, chemistry and natural sciences.
cites work: The Fokker-Planck equation. Methods of solution and applications
cites work: Q4531864
cites work: Fractal geometry. Mathematical foundations and applications
cites work: ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATION
cites work: Random motions at finite speed in higher dimensions
cites work: The equation of symmetric Markovian random evolution in a plane
cites work: Noise-induced transitions. Theory and applications in physics, chemistry, and biology
cites work: Stochastic processes driven by dichotomous Markov noise: Some exact dynamical results
cites work: Some applications of persistent random walks and the telegrapher's equation
cites work: DICHOTOMOUS MARKOV NOISE: EXACT RESULTS FOR OUT-OF-EQUILIBRIUM SYSTEMS
cites work: One-dimensional hyperbolic transport: positivity and admissible boundary conditions derived from the wave formulation
cites work: Diffusion and reactions in fractals and disordered systems
cites work: The distance between the Kac process and the Wiener process with applications to generalized telegraph equations
cites work: Q4393437
cites work: Q3643422
cites work: Q4597626
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Scaling exponents for random walks on Sierpinski carpets and number of distinct sites visited: a new algorithm for infinite fractal lattices
cites work: Q4317869
DOI: 10.1016/J.PHYSA.2015.12.142
description: scientific article