Local limit theorems on some non unimodular groups.

Le Page, Emile, and Peigné, Marc. "Local limit theorems on some non unimodular groups.." Revista Matemática Iberoamericana 15.1 (1999): 117-141. <http://eudml.org/doc/39566>.

@article{LePage1999,
abstract = {Let Gd be the semi-direct product of R*+ and Rd, d ≥ 1 and let us consider the product group Gd,N = Gd x RN, N ≥ 1. For a large class of probability measures μ on Gd,N, one prove that there exists ρ(μ) ∈ ]0,1] such that the sequence of finite measures\{(n(N+3)/2 / ρ(μ)n) μ*n\}n ≥ 1converges weakly to a non-degenerate measure.},
author = {Le Page, Emile, Peigné, Marc},
journal = {Revista Matemática Iberoamericana},
keywords = {Medidas de probabilidad; Convergencia débil; Límite; Grupos; unimodular group; local limit theorem; random walk; Wiener-Hopf factorization},
language = {eng},
number = {1},
pages = {117-141},
title = {Local limit theorems on some non unimodular groups.},
url = {http://eudml.org/doc/39566},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Le Page, Emile
AU - Peigné, Marc
TI - Local limit theorems on some non unimodular groups.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 1
SP - 117
EP - 141
AB - Let Gd be the semi-direct product of R*+ and Rd, d ≥ 1 and let us consider the product group Gd,N = Gd x RN, N ≥ 1. For a large class of probability measures μ on Gd,N, one prove that there exists ρ(μ) ∈ ]0,1] such that the sequence of finite measures{(n(N+3)/2 / ρ(μ)n) μ*n}n ≥ 1converges weakly to a non-degenerate measure.
LA - eng
KW - Medidas de probabilidad; Convergencia débil; Límite; Grupos; unimodular group; local limit theorem; random walk; Wiener-Hopf factorization
UR - http://eudml.org/doc/39566
ER -