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5 papers · 2 filters
Local structure of random quadrangulations
Maxim Krikun
This paper is an adaptation of a method used in \cite{K} to the model of random quadrangulations. We prove local weak convergence of uniform measures on quadrangulations and show t…
Limiting laws associated with Brownian motion perturbated by normalized exponential weights I
Bernard Roynette, Pierre Vallois, Marc Yor
We determine the rate of decay of the expectation Z(t) of some multiplicative functional related to Brownian motion up to time t. This permits to prove that the Wiener measure, pen…
Percolating paths through random points :
David Aldous, Maxim Krikun
We prove consistency of four different approaches to formalizing the idea of minimum average edge-length in a path linking some infinite subset of points of a Poisson process. The…
A microscopic probabilistic description of a locally regulated population and macroscopic approximations
Nicolas Fournier, Sylvie Meleard
We consider a discrete model that describes a locally regulated spatial population with mortality selection. This model was studied in parallel by Bolker and Pacala and Dieckmann,…
The exit problem for diffusions with time-periodic drift and stochastic resonance
Samuel Herrmann, Peter Imkeller
Physical notions of stochastic resonance for potential diffusions in periodically changing double-well potentials such as the spectral power amplification have proved to be defecti…