1 citations · 2 across the 7 of their papers we have counts for
9 papers
A coupling between random walks in random environments and Brox's diffusion
Xi Geng, Mihai Gradinaru, Samy Tindel
It is known that a properly rescaled version of Sinai's random walk converges in distribution to Brox's diffusion. In this article we quantify this convergence by considering a spe…
Kinetic time-inhomogeneous L{é}vy-driven model
Mihai Gradinaru, Emeline Luirard
We study a one-dimensional kinetic stochastic model driven by a L{é}vy process with a non-linear time-inhomogeneous drift. More precisely, the process is considered, where…
Asymptotic behaviour for a time-inhomogeneous Kolmogorov type diffusion
Mihai Gradinaru, Emeline Luirard
We study a kinetic stochastic model with a non-linear time-inhomogeneous drag force and a Brownian-type random force. More precisely, the Kolmogorov type diffusion is consi…
Lévy-type processes: convergence and discrete schemes
Mihai Gradinaru, Tristan Haugomat
We characterise the convergence of a certain class of discrete time Markov processes toward locally Feller processes in terms of convergence of associated operators. The theory of…
Local Skorokhod topology on the space of cadlag processes
Mihai Gradinaru, Tristan Haugomat
We modify the global Skorokhod topology, on the space of cadlag paths, by localising with respect to space variable, in order to include the eventual explosions. The tightness of f…
Locally Feller processes and martingale local problems
Mihai Gradinaru, Tristan Haugomat
This paper is devoted to the study of a certain type of martingale problems associated to general operators corresponding to processes which have finite lifetime. We analyse severa…