19 citations · 48 across the 32 of their papers we have counts for
Showing 2010 · math.PRShow all
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math.PR2010★ 9 cited
A sharp correlation inequality with an application to almost sure local limit theorem
Michel Weber
We prove a new sharp correlation inequality for sums of i.i.d. square integrable lattice distributed random variables. We also apply it to establish an almost sure local limit theo…
math.PR2010
On Small deviations of Gaussian processes using majorizing measures
Michel Weber
We give two examples of periodic Gaussian processes, having entropy numbers of exactly same order but radically different small deviations. Our construction is based on classical K…
math.PR2010
Instants of small amplitude of Brownian motion and application to the Kubilius model
Michel Weber
Let be standard Brownian motion. We study the size of the time intervals which are admissible for the long range of slow increase, namely given a real , $$…