# Local limit theorems on some non unimodular groups.

Revista Matemática Iberoamericana (1999)

- Volume: 15, Issue: 1, page 117-141
- ISSN: 0213-2230

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topLe 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 -

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