41 citations · 242 across the 43 of their papers we have counts for
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math.PR2002★ 1 cited
Almost Sure Central Limit Theorems and the Erdos-Renyi law for Expanding Maps of the Interval
J. -R. Chazottes, P. Collet
For a large class of expanding maps of the interval, we prove that partial sums of Lipschitz observables satisfy an almost sure central limit theorem (ASCLT). In fact, we provide a…
math-ph2002★ 18 cited
The Number of Large Graphs with a Positive Density of Triangles
Pierre Collet, Jean-Pierre Eckmann
We give upper and lower bounds on the number of graphs of fixed degree which have a positive density of triangles. In particular, we show that there are very few such graphs, when…
math.PR2002
Asymptotic of the Heat Kernel in General Benedicks Domains
P. Collet, S. Martinez, J. San Martin
Using a new inequality relating the heat kernel and the probability of survival, we prove asymptotic ratio limit theorems for the heat kernel (and survival probability) in general…