Random walks in a one-dimensional Lévy random environment

DOI10.1007/s10955-016-1469-0zbMath1343.82039arXiv1411.0586OpenAlexW3099775668WikidataQ62384008 ScholiaQ62384008MaRDI QIDQ288192

Marco Lenci, Alessandra Bianchi, Marilena Ligabò, Giampaolo Cristadoro

Publication date: 25 May 2016

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0586

zbMATH Keywords

central limit theoremrandom walk in random environmentconvergence of momentsLévy environmentLévy walkLévy-Lorentz gasrandom walk on point process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (11)

Large fluctuations and transport properties of the Lévy-Lorentz gas ⋮ Diffusion limit of Lévy-Lorentz gas is Brownian motion ⋮ Large-time limit of the quantum Zeno effect ⋮ Equivalence of position–position auto-correlations in the Slicer Map and the Lévy–Lorentz gas ⋮ Rare events in stochastic processes with sub-exponential distributions and the big jump principle ⋮ Non-homogeneous persistent random walks and Lévy–Lorentz gas ⋮ Uniformly expanding Markov maps of the real line: exactness and infinite mixing ⋮ Continuous-time random walk between Lévy-spaced targets in the real line ⋮ Limit theorems for Lévy flights on a 1D Lévy random medium ⋮ Torus as phase space: Weyl quantization, dequantization, and Wigner formalism ⋮ Transport properties and ageing for the averaged Lévy–Lorentz gas

Cites Work

• Unnamed Item
• Unnamed Item
• Recurrence or transience of random walks on random graphs generated by point processes in \(\mathbb{R}^d\)
• Diffusivity in one-dimensional generalized Mott variable-range hopping models
• Recurrence and transience for long-range reversible random walks on a random point process
• The convergence of moments in the central limit theorem for stationary phi-mixing processes
• Distribution function inequalities for martingales
• Lévy flights in a quenched jump length field: A real space renormalization group approach
• Random walks in random environments without ellipticity
• Random walks on discrete point processes
• Random walks in random environments
• The existence of measures of a given cocycle, I: atomless, ergodic σ-finite measures
• Central limit theorem and recurrence for random walks in bistochastic random environments
• Recurrence for quenched random Lorentz tubes
• Typicality of recurrence for Lorentz gases
• Probability theory. A comprehensive course

This page was built for publication: Random walks in a one-dimensional Lévy random environment