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math.PR2023
Limiting distributions for RWCRE in the sub-ballistic regime and in the critical Gaussian regime
Conrado da Costa, Jonathon Peterson, Yongjia Xie
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 (cal…
math.PR2023
Passage-times for partially-homogeneous reflected random walks on the quadrant
Conrado da Costa, Mikhail Menshikov, Andrew Wade
We consider a random walk on the first quadrant of the square lattice, whose increment law is, roughly speaking, homogeneous along a finite number of half-lines near each of the tw…