Limit theorems of continuous-time random walks with tails

DOI10.1007/S11464-013-0275-0zbMath1274.60069OpenAlexW2136022422MaRDI QIDQ373430

Yu-Qiang Li

Publication date: 22 October 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-013-0275-0

zbMATH Keywords

weak convergencestable Lévy process\(J_1\)-topology\(M_1\)-topology

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)

Cites Work

• Stable sub-Gaussian models constructed by Poisson processes
• Weak approximation of the Brownian sheet from a Poisson process in the plane
• Limit theorems for coupled continuous time random walks.
• Stochastic-Process Limits
• Random Walks on Lattices. II
• Weak approximation for a class of Gaussian processes
• Limit theorems for continuous-time random walks with infinite mean waiting times
• Limit theorems for occupation times of Markov processes
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