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5 papers · 2 filters
Maximal local time of randomly biased random walks on a Galton-Watson tree
Xinxin Chen, Loïc de Raphélis
We consider a recurrent random walk on a rooted tree in random environment given by a branching random walk. Up to the first return to the root, its edge local times form a Multi-t…
Quasi-stationary distribution and metastability for the stochastic Becker-Döring model
Erwan Hingant, Romain Yvinec
We study a stochastic version of the classical Becker-Döring model, a well-known kinetic model for cluster formation that predicts the existence of a long-lived metastable state be…
Central limit theorem for a critical multi-type branching process in random environment
E. Le Page, M. Peigné, C. Pham
Let (Z n) n0 with Z n = (Z n (i, j)) 1i,jp be a p multi-type critical branching process in random environment, and let M n be the expectation of Z n given a fixed en…
An Eyring-Kramers law for slowly oscillating bistable diffusions
Nils Berglund
We consider two-dimensional stochastic differential equations, describing the motion of a slowly and periodically forced overdamped particle in a double-well potential, subjected t…
On the affine recursion on
Sara Brofferio, Marc Peigné, Thi Da Cam Pham
We fix and denote the semi-group of matrices with non negative entries. We consider a sequence of i. i. d. random vari…