Mean-value theorems and ergodicity of certain geodesic random walks

The goal of the present paper is to complete these investigations by establishing local limit theorems for random walks defined on finite Markov chains and conditioned to

In the case of aperiodic recurrent random walks on Z with finite variance, the potential kernel is known to behave asymptotically as |a| when |a| goes to infinity and, for

We consider various examples of ergodic Γ-actions and random walks and their extensions by a vector space: groups of automorphisms or affine transformations on compact

4 Transient λ-biased random walk on a Galton-Watson tree 111 4.1 The dimension of the harmonic measure... 4.2 Comparison of flow rules on a

Chapter 3 is devoted to establishing limit theorems for products of random matrices which will be used in the following chapters for the study of a branching random walk with

We prove that, in this case, the Open Quantum Random Walk behaves like a mixture of Open Quantum Random Walks with single Gaussian, that is, up to conditioning the trajectories at

Limit theorems for sums of independent random variables defined on a transient random walk.. Investigations in the theory of probability

Roughly speaking functional central limit theorems hold true as soon as the self-intersection local time of the random walk converges almost surely to some constant.. To be com-