Un principe d'invariance pour une classe de marches p-corrélées sur ℤd

DOI10.1239/JAP/1032265204zbMATH Open0922.60035OpenAlexW1554588545MaRDI QIDQ4228258

Alexis Bienvenüe

Publication date: 3 October 1999

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1032265204

zbMATH Keywords

characteristic functionDonsker theoremGillis walk

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Functional limit theorems; invariance principles (60F17)

Related Items (5)

A symmetry property for a class of random walks in stationary random environments on \(\mathbb Z\) ⋮ An invariance property of generalized Pearson random walks in bounded geometries ⋮ Invariance principle for nonhomogeneous random walks on the grid \(\mathbb{Z}^1\) ⋮ Annealed invariance principle for random walks on random graphs generated by point processes in $\mathbb{R}^d$ ⋮ Transformations of the simplest nonsymmetric random walks and some applications of the invariance principle

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