3 citations · 5 across the 5 of their papers we have counts for
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math.PR2007★ 2 cited
Matching with shift for one-dimensional Gibbs measures
P. Collet, C. Giardina, F. Redig
We consider matching with shifts for Gibbsian sequences. We prove that the maximal overlap behaves as , where is explicitly identified in terms of the thermodynamic qu…
math.PR2007★ 2 cited
Random perturbations of stochastic chains with unbounded variable length memory
Pierre Collet, Antonio Galves, Florencia G. Leonardi
We consider binary infinite order stochastic chains perturbed by a random noise. This means that at each time step, the value assumed by the chain can be randomly and independently…
math.PR2007
Quasi-stationary distributions and diffusion models in population dynamics
Patrick Cattiaux, Pierre Collet, Amaury Lambert +3
In this paper, we study quasi-stationarity for a large class of Kolmogorov diffusions. The main novelty here is that we allow the drift to go to at the origin, and the d…