scholarly journals Non-homogeneous persistent random walks and Lévy–Lorentz gas

2018 ◽  
Vol 2018 (8) ◽  
pp. 083209 ◽  
Author(s):  
Roberto Artuso ◽  
Giampaolo Cristadoro ◽  
Manuele Onofri ◽  
Mattia Radice
Keyword(s):  
Random Walks ◽  
Lorentz Gas ◽  
Persistent Random Walks

scholarly journals FROM PERSISTENT RANDOM WALK TO THE TELEGRAPH NOISE

2010 ◽  
Vol 10 (02) ◽  
pp. 161-196 ◽  
Author(s):  
S. HERRMANN ◽  
P. VALLOIS
Keyword(s):  
Random Walk ◽  
Markov Process ◽  
Random Walks ◽  
Poisson Process ◽  
Counting Process ◽  
Telegraph Equation ◽  
Space Time ◽  
Persistent Random Walks ◽  
Persistent Random Walk ◽  
Telegraph Noise

We study a family of memory-based persistent random walks and we prove weak convergences after space-time rescaling. The limit processes are not only Brownian motions with drift. We have obtained a continuous but non-Markov process (Zt) which can be easily expressed in terms of a counting process (Nt). In a particular case the counting process is a Poisson process, and (Zt) permits to represent the solution of the telegraph equation. We study in detail the Markov process ((Zt, Nt); t ≥ 0).

scholarly journals Reaction fronts in persistent random walks with demographic stochasticity

2019 ◽  
Vol 99 (1) ◽  
Author(s):  
Davide Vergni ◽  
Stefano Berti ◽  
Angelo Vulpiani ◽  
Massimo Cencini
Keyword(s):  
Random Walks ◽  
Demographic Stochasticity ◽  
Reaction Fronts ◽  
Persistent Random Walks

scholarly journals Recurrence of multidimensional persistent random walks. Fourier and series criteria

Bernoulli ◽  
2020 ◽  
Vol 26 (2) ◽  
pp. 858-892
Author(s):  
Peggy Cénac ◽  
Basile de Loynes ◽  
Yoann Offret ◽  
Arnaud Rousselle
Keyword(s):  
Random Walks ◽  
Persistent Random Walks ◽  
Series Criteria

scholarly journals Random walks in random sceneries and related models

2020 ◽  
Vol 68 ◽  
pp. 35-51
Author(s):  
Françoise Pène
Keyword(s):  
Random Walks ◽  
Lorentz Gas ◽  
Stratified Media ◽  
One Dimensional ◽  
The One

We present random walks in random sceneries as well as three related models: U-statistics indexed by random walks, a model of stratified media with inhomogeneous layers (random one-way streets) and the one-dimensional Lévy-Lorentz gas (random roundabouts on a line). We present in particular results obtained in collaboration with Castell, Guillotin-Plantard, Br. Schapira, Franke, Wendler, Aurzada, Bianchi and Lenci.

Search along persistent random walks

2008 ◽  
Vol 5 (2) ◽  
pp. 026007 ◽  
Author(s):  
Benjamin M Friedrich
Keyword(s):  
Random Walks ◽  
Persistent Random Walks
Sign in / Sign up

Export Citation Format

Share Document