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math.PR2023
On multidimensional locally perturbed standard random walks
Congzao Dong, Alexander Iksanov, Andrey Pilipenko
Let be a positive integer and a set in , which contains finitely many points with integer coordinates. We consider a standard random walk perturbed on the…
math.PR2023
On a discrete approximation of a skew stable Lévy process
Congzao Dong, Oleksandr Iksanov, Andrey Pilipenko
Iksanov and Pilipenko (2023) defined a skew stable Lévy process as a scaling limit of a sequence of perturbed at symmetric stable Lévy processes (continuous-time processes). He…