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20232026
most citedWalsh's Brownian Motion and Donsker Scaling Limits of Perturbed Random Walks

2 citations · 2 across the 4 of their papers we have counts for

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math.PR2026

Functional limit theorems for perturbed random walks

Andrey Pilipenko

We consider scaling limits of integer-valued random walks whose transition probabilities are translation-invariant everywhere except on a set that we will call a membrane or an int…

math.PR2026

Functional central limit theorem for superdiffusive SDEs with stable noise

Aleksandar Mijatović, Andrey Pilipenko, Isao Sauzedde

This paper establishes a functional stable central limit theorem for a class of superdiffusive solutions to stochastic differential equations driven by an -stable process.