[图书][B] Branching random walks
Z Shi - 2015 - Springer
These notes attempt to provide an elementary introduction to the one-dimensional discrete-
time branching random walk and to exploit its spinal structure. They begin with the case of …
time branching random walk and to exploit its spinal structure. They begin with the case of …
Large deviations for random projections of balls
Abstract Let p∈1,∞. Consider the projection of a uniform random vector from a suitably
normalized ℓ^p ball in R^n onto an independent random vector from the unit sphere. We …
normalized ℓ^p ball in R^n onto an independent random vector from the unit sphere. We …
Almost sure convergence for stochastically biased random walks on trees
G Faraud, Y Hu, Z Shi - Probability Theory and Related Fields, 2012 - Springer
We are interested in the biased random walk on a supercritical Galton–Watson tree in the
sense of Lyons (Ann. Probab. 18: 931–958, 1990) and Lyons, Pemantle and Peres (Probab …
sense of Lyons (Ann. Probab. 18: 931–958, 1990) and Lyons, Pemantle and Peres (Probab …
The slow regime of randomly biased walks on trees
Y Hu, Z Shi - 2016 - projecteuclid.org
We are interested in the randomly biased random walk on the supercritical Galton–Watson
tree. Our attention is focused on a slow regime when the biased random walk (X_n) is null …
tree. Our attention is focused on a slow regime when the biased random walk (X_n) is null …
Large deviation principles induced by the Stiefel manifold, and random multidimensional projections
For fixed positive integers k< n, given an n-dimensional random vector X (n), consider its k-
dimensional projection an, k⊺ X (n), where an, k is an n× k-dimensional matrix belonging to …
dimensional projection an, k⊺ X (n), where an, k is an n× k-dimensional matrix belonging to …
About the asymptotic behaviour of the martingale associated with the Vertex Reinforced Jump Process on trees and Z d
V Rapenne - arXiv preprint arXiv:2207.12683, 2022 - arxiv.org
We study the asymptotic behaviour of the martingale ($\psi $ n (o)) n $\in $ N associated with
the Vertex Reinforced Jump Process (VRJP). We show that it is bounded in L p for every p> …
the Vertex Reinforced Jump Process (VRJP). We show that it is bounded in L p for every p> …
Local times of subdiffusive biased walks on trees
Y Hu - Journal of Theoretical Probability, 2017 - Springer
Consider a class of null-recurrent randomly biased walks on a supercritical Galton–Watson
tree. We obtain the scaling limits of the local times and the quenched local probability for the …
tree. We obtain the scaling limits of the local times and the quenched local probability for the …
Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime
A Fribergh, T Lions, C Scali - arXiv preprint arXiv:2210.07825, 2022 - arxiv.org
arXiv:2210.07825v2 [math.PR] 4 Sep 2023 Page 1 Quenched invariance principle for biased
random walks in random conductances in the sub-ballistic regime Alexander Fribergh ∗ Tanguy …
random walks in random conductances in the sub-ballistic regime Alexander Fribergh ∗ Tanguy …
Cutoff for mixtures of permuted Markov chains: general case
B Dubail - arXiv preprint arXiv:2402.03415, 2024 - arxiv.org
We investigate the mixing properties of a finite Markov chain in random environment defined
as a mixture of a deterministic chain and a chain whose state space has been permuted …
as a mixture of a deterministic chain and a chain whose state space has been permuted …
Mixing times of Markov chains: acceleration and cutoff in random environment
B Dubail - 2023 - inria.hal.science
The aim of this dissertation is to explore various aspects concerning random walks and
mixing times of Markov chains. First, our research introduces a novel technique called" …
mixing times of Markov chains. First, our research introduces a novel technique called" …