1 citations · 2 across the 9 of their papers we have counts for
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Maximum Entropy Random Walks: the Infinite Setting and the Example of Spider Networks with their Scaling Limits
Duboux Thibaut, Offret Yoann
In this article, we establish solid foundations for the study of Maximal Entropy Random Walks (MERWs) on infinite graphs. We introduce a generalized definition that extends the ori…
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…
Persistent random walks
Peggy Cénac, Basile De Loynes, Arnaud Le Ny +1
We consider a walker that at each step keeps the same direction with a probabilitythat depends on the time already spent in the direction the walker is currently moving. In this pa…
Invariant distributions and scaling limits for some diffusions in time-varying random environments
Yoann Offret
We consider a family of one-dimensional diffusions, in dynamical Wiener mediums, which are random perturbations of the Ornstein-Uhlenbeck diffusion process. We prove quenched and a…
Existence and asymptotic behaviour of some time-inhomogeneous diffusions
Mihai Gradinaru, Yoann Offret
Let us consider a solution of the time-inhomogeneous stochastic differential equation driven by a Brownian motion with drift coefficient . This pro…