Local limit theorems on some non unimodular groups
type: Item
instance of: scholarly article
title: Local limit theorems on some non unimodular groups
zbMATH Open document ID: 0929.60014
DOI: 10.4171/RMI/252
author: Émile Le Page
author: Marc Peigné
published in: Revista Matemática Iberoamericana
publication date: 2000-01-16T00:00:00Z
full work available at URL: https://eudml.org/doc/39566
review text: Let \(G_d\) be the semi-direct product of \(R^{*+}\) and \(R^d, d\geq 1\), and let us consider the product group \(G_{d,N}=G_d\times R^N, N\geq 1\). For a large class of probability measures \(\mu\) on \(G_{d,N}\) one proves that there exists \(\rho (\mu)\in ]0,1]\) such that the sequence of finite measures \(\{\frac{n^{(N+3)/2}}{\rho (\mu)^n}\mu^{*n}\}_{n\geq 1}\) converges weakly to a non-degenerate measure.
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 60B12
zbMATH DE Number: 1275489
zbMATH Keywords: unimodular group
zbMATH Keywords: local limit theorem
zbMATH Keywords: random walk
zbMATH Keywords: Wiener-Hopf factorization
reviewed by: Vakhtang V. Kvaratskhelia
MaRDI profile type: Publication
OpenAlex ID: W2056455018
description: scientific article; zbMATH DE number 1275489