Zobrazeno 1 - 10
of 106
pro vyhledávání: '"Peterson, Jonathon"'
It is often said that well-entangled and fast-breaking living polymers (such as wormlike micelles) exhibit a single relaxation time in their reptation dynamics, but the full story is somewhat more complicated. Understanding departures from single-Max
Externí odkaz:
http://arxiv.org/abs/2407.07213
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the environment is frozen between a fixed sequence of times (called the cooling map) where it is resampled. Naturally the limiting dis
Externí odkaz:
http://arxiv.org/abs/2307.07622
We use generalized Ray-Knight theorems introduced by B\'alint T\'oth in 1996 together with techniques developed for excited random walks as main tools for establishing positive and negative results concerning convergence of some classes of diffusivel
Externí odkaz:
http://arxiv.org/abs/2208.02589
Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the entire environment is resampled along a fixed sequence of times, called the "cooling sequence," and is kept fixed in between those
Externí odkaz:
http://arxiv.org/abs/2108.08396
We prove a quenched functional central limit theorem for a one-dimensional random walk driven by a simple symmetric exclusion process. This model can be viewed as a special case of the random walk in a balanced random environment, for which the weak
Externí odkaz:
http://arxiv.org/abs/2107.08235
We consider one-dimensional excited random walks (ERWs) with i.i.d. markovian cookie stacks in the non-boundary recurrent regime. We prove that under diffusive scaling such an ERW converges in the standard Skorokhod topology to a multiple of Brownian
Externí odkaz:
http://arxiv.org/abs/2008.06766
Autor:
Ahn, Sung Won, Peterson, Jonathon
We consider the rates of convergence of the quenched central limit theorem for hitting times of one-dimensional random walks in a random environment. Previous results had identified polynomial upper bounds for the rates of decay which are sometimes s
Externí odkaz:
http://arxiv.org/abs/2001.11522
We consider discrete non-divergence form difference operators in a random environment and the corresponding process--the random walk in a balanced random environment in $\mathbb{Z}^d$ with a finite range of dependence. We first quantify the ergodicit
Externí odkaz:
http://arxiv.org/abs/1903.12151
Autor:
Guo, Xiaoqin, Peterson, Jonathon
We prove Berry-Esseen type rates of convergence for central limit theorems (CLTs) of regenerative processes which generalize previous results of Bolthausen under weaker moment assumptions. We then show how this general result can be applied to obtain
Externí odkaz:
http://arxiv.org/abs/1708.07162
Publikováno v:
Involve 12 (2019) 97-115
Excited random walks (ERWs) are a self-interacting non-Markovian random walk in which the future behavior of the walk is influenced by the number of times the walk has previously visited its current site. We study the speed of the walk, defined as $V
Externí odkaz:
http://arxiv.org/abs/1707.02969