Functional limit theorems for random walks perturbed by positive alpha-stable jumps

DOI10.3150/22-BEJ1515WikidataQ121635492 ScholiaQ121635492MaRDI QIDQ2692552

Aleksander M. Iksanov, Ben Povar, Andrey Yu. Pilipenko

Publication date: 22 March 2023

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00760

zbMATH Keywords

functional limit theoremoscillating random walkFeller Brownian motionlocally perturbed random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Convergence of probability measures (60B10) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (2)

Boundary approximation for sticky jump-reflected processes on the half-line ⋮ Limit behaviour of random walks on ℤ^mwith two-sided membrane

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