186 citations · 216 across the 18 of their papers we have counts for
22 papers
Strong measurable continuous modifications of stochastic flows
Olivier Raimond, Georgii Riabov
This paper is devoted to the construction of stochastic flows of measurable mappings in a locally compact separable metric space (M, ). We propose a new construction that produc…
Convergence to the uniform distribution of moderately self-interacting diffusions on compact Riemannian manifolds
Simon Holbach, Olivier Raimond
We consider a self-interacting diffusion on a smooth compact Riemannian manifold , described by the stochastic differential equation \[ dX_t = \sqrt{2} dW_t(X_t)- β(…
An averaging principle for stochastic flows and convergence of non-symmetric Dirichlet forms
Florent Barret, Olivier Raimond
We study diffusion processes and stochastic flows which are time-changed random perturbations of a deterministic flow on a manifold. Using non-symmetric Dirichlet forms and their c…
Strongly vertex-reinforced jump process on a complete graph
Olivier Raimond, Tuan-Minh Nguyen
The aim of our work is to study vertex-reinforced jump processes with super-linear weight function , for some . On any complete graph , we prove that…
Vertex reinforced non-backtracking random walks: an example of path formation
Line C. Le Goff, Olivier Raimond
This article studies vertex reinforced random walks that are non-backtracking (denoted VRNBW), i.e. U-turns forbidden. With this last property and for a strong reinforcement, the e…
Stochastic flows and an interface SDE on metric graphs
Hatem Hajri, Olivier Raimond
This paper consists in the study of a stochastic differential equation on a metric graph, called an interface SDE . To each edge of the graph is associated an indepe…