La loi du logarithme itéré bornée dans les espaces de Banach
Large-scale isoperimetry on locally compact groups and applications
We introduce various notions of large-scale isoperimetric profile on a locally compact, compactly generated amenable group. These asymptotic quantities provide measurements of the degree of amenability of the group. We are particularly interested in a class of groups with exponential volume growth which are the most amenable possible in that sense. We show that these groups share various interesting properties such as the speed of on-diagonal decay of random walks, the vanishing of the reduced first...
Laws of Large Numbers of Hypergroups on IR+.
Laws of the Iterated Logarithm for the Central Part of (Semi-) Stable Measures on the Heisenberg Groups.
Le support des lois indefiniment divisibles dans un groupe Abelien localement compact.
L'exponentielle stochastique des groupes de Lie
Limit laws for Random matrices and free products.
Limit Measures on Compact Semitopological Semigroups.
Limit theorems for convolutions of probabilities on non abelian semigroups.
Limit Theorems for Random Walks on Discrete Semigroups Related to Nonhomogeneous Trees and Chebyshev Polynomials.
Local Conditional Expectations and an Application to a Central Limit Theorem on a Locally Compact Abelian Group.
Local limit theorems on some non unimodular groups.
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.
Lois stables dans un groupe
Long time behavior of random walks on abelian groups
Let be a locally compact non-compact metric group. Assuming that is abelian we construct symmetric aperiodic random walks on with probabilities of return to any neighborhood V of the neutral element decaying at infinity almost as fast as the exponential function n ↦ exp(-n). We also show that for some discrete groups , the decay of the function can be made as slow as possible by choosing appropriate aperiodic random walks Sₙ on .
Lower estimates for random walks on a class of amenable -adic groups.