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math.PR2020
Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema
Elena Kosygina, Thomas Mountford, Jonathon Peterson
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…
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…