Existence of graphs with sub exponential transitions probability decay and applications.

We show that the contact process on the rank-one inhomogeneous random graphs and Erdos-Rényi graphs with mean degree large enough survives a time exponen- tial in the size of

In this section, by using a result on the existence of long paths in a super-critical site percolation, we will show that the random geometric graph contains a key subgraph composed

Yves Guivarc’H, Emile Le Page. On the homogeneity at infinity of the stationary probability for an affine random walk. Siddhartha Bhattacharya, Tarun Das, Anish Ghosh and Riddhi

A following article will investigate the convexity properties of the entropy functional along those particular W 1 geodesics, in the view of obtaining a discrete version of

The connection between the survival probability of the branching random walk and the travelling wave solutions of perturbed discrete F-KPP equations of the type investigated by

To conclude the proof of Theorem 1.3 (the case of the half-plane), we use some monotonicity and one-dimensional symmetry results for solutions with bounded gradient of such

For the critical branching random walk in Z 4 with branching at the origin only we find the asymptotic behavior of the probability of the event that there are particles at the origin

Hommel [5] has investigated rather fully the possibility of extending Nachbin's theorem to locally compact ordered spaces (see Theorem 4.2.5 and Corollary 4.2.8 in [5]). we can drop