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Central limit theorem for an additive functional of a Markov process, stable in the Wesserstein metric

Anna Walczuk (2008)

Annales UMCS, Mathematica

We study the question of the law of large numbers and central limit theorem for an additive functional of a Markov processes taking values in a Polish space that has Feller property under the assumption that the process is asymptotically contractive in the Wasserstein metric.

Classification des semi-groupes de diffusion sur $ℝ$ associés à une famille de polynômes orthogonaux

Olivier Mazet (1997)

Séminaire de probabilités de Strasbourg

Coalescing Markov labelled partitions and a continuous sites genetics model with infinitely many types

Steven N. Evans (1997)

Annales de l'I.H.P. Probabilités et statistiques

Collisions of random walks

Martin T. Barlow, Yuval Peres, Perla Sousi (2012)

Annales de l'I.H.P. Probabilités et statistiques

A recurrent graph $G$ has the infinite collision property if two independent random walks on $G$ , started at the same point, collide infinitely often a.s. We give a simple criterion in terms of Green functions for a graph to have this property, and use it to prove that a critical Galton–Watson tree with finite variance conditioned to survive, the incipient infinite cluster in $ℤ^{d}$ with $d \geq 19$ and the uniform spanning tree in $ℤ^{2}$ all have the infinite collision property. For power-law combs and spherically symmetric...

Compactness properties of Feller semigroups

G. Metafune, D. Pallara, M. Wacker (2002)

Studia Mathematica

We study the compactness of Feller semigroups generated by second order elliptic partial differential operators with unbounded coefficients in spaces of continuous functions in $ℝ^{N}$ .