3 papers
math.PR2020
Optimal rates of convergence for quenched central limit theorem rates for hitting times of one-dimensional random walks in random environments
Sung Won Ahn, Jonathon Peterson
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 identifie…
math.PR2017
Quenched central limit theorem rates of convergence for one-dimensional random walks in random environments
Sung Won Ahn, Jonathon Peterson
Unlike classical simple random walks, one-dimensional random walks in random environments (RWRE) are known to have a wide array of potential limiting distributions. Under certain a…
math.PR2015
Oscillations of quenched slowdown asymptotics for ballistic one-dimensional random walk in a random environment
Sung Won Ahn, Jonathon Peterson
We consider a one dimensional random walk in a random environment (RWRE) with a positive speed . Gantert and Zeitouni showed that if the envir…