The scaling limit of senile reinforced random walk.
The Shannon information on a Markov chain approximately normally distributed
The Skorokhod embedding problem and its offspring.
The Skorokhod oblique reflection problem in a convex polyhedron.
The spatial -coalescent.
The stability of Markov operators on Polish spaces
A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.
The statistical equilibrium of an isotropic stochastic flow with negative Lyapounov exponents is trivial
The Stopping Distributions of a Markov Process.
The supremum of brownian local times on Hölder curves
The tail structure of nonhomogeneous finite state Markov chains: survey
The tail -fields of recurrent Markov processes
The theory of networks of single server queues and the tandem queue model.
The total continuity of natural filtrations
The two uniform infinite quadrangulations of the plane have the same law
We prove that the uniform infinite random quadrangulations defined respectively by Chassaing–Durhuus and Krikun have the same distribution.
The uniqueness of invariant measures for Markov operators
It is shown that Markov operators with equicontinuous dual operators which overlap supports have at most one invariant measure. In this way we extend the well known result proved for Markov operators with the strong Feller property by R. Z. Khas'minski.
The unscaled paths of branching brownian motion
For a set A ⊂ C[0, ∞), we give new results on the growth of the number of particles in a branching Brownian motion whose paths fall within A. We show that it is possible to work without rescaling the paths. We give large deviations probabilities as well as a more sophisticated proof of a result on growth in the number of particles along certain sets of paths. Our results reveal that the number of particles can oscillate dramatically. We also obtain new results on the number of particles near the...
The weak convergence of regenerative processes using some excursion path decompositions
We consider regenerative processes with values in some general Polish space. We define their -big excursions as excursions such that , where is some given functional on the space of excursions which can be thought of as, e.g., the length or the height of . We establish a general condition that guarantees the convergence of a sequence of regenerative processes involving the convergence of -big excursions and of their endpoints, for all in a set whose closure contains . Finally, we provide...
The width of Galton-Watson trees conditioned by the size.
The Wiener process and the central limit theorem.
Théorème de convergence vers des lois stables pour une classe de chaînes de Markov