37 citations · 126 across the 31 of their papers we have counts for
4 papers · 2 filters
Long range one-cookie random walk with positive speed
Andrea Collevecchio, Kais Hamza, Tuan-Minh Nguyen
We study one-dimensional excited random walks with non-nearest neighbor jumps. When the process is at a vertex that has not been visited before, its next transition has a positive…
Limit theorems and ergodicity for general bootstrap random walks
A. Collevecchio, K. Hamza, M. Shi +1
Given the increments of a simple symmetric random walk , we characterize all possible ways of recycling these increments into a simple symmetric random walk $(Y_n)_{…
Vertex-reinforced jump process on the integers with nonlinear reinforcement
Andrea Collevecchio, Tuan-Minh Nguyen, Stanislav Volkov
We consider a non-linear vertex-reinforced jump process (VRJP()) on with an increasing measurable weight function and initial weights e…
Three steps mixing for general random walks on the hypercube at criticality
Andrea Collevecchio, Robert Griffiths
We introduce a general class of random walks on the -hypercube, study cut-off for the mixing time, and provide several types of representation for the transition probabilities.…