1 citations · 1 across the 4 of their papers we have counts for
4 papers
Recurrence of Multidimensional Persistent Random Walks. Fourier and Series Criteria
Peggy Cénac, Basile De Loynes, Yoann Offret +1
The recurrence features of persistent random walks built from variable length Markov chains are investigated. We observe that these stochastic processes can be seen as L{é}vy walks…
Persistent random walks. II. Functional Scaling Limits
Peggy Cénac, Arnaud Le Ny, Basile De Loynes +1
We give a complete and unified description -- under some stability assumptions -- of the functional scaling limits associated with some persistent random walks for which the recurr…
A note on the Martin boundary of the simple random walk on an example of directed graph
Basile de Loynes
In this note, we study the Martin boundary of the simple random walk on an example of directed graph. More precisely, the Martin boundary is shown to be trivial, i.e. there is no n…
Random walk on a directed graph and Martin boundary
Basile de Loynes
The Martin boundary associated with the simple random walk on an example of partially oriented lattice is shown to be trivial by computing fine estimates of the Green kernel.