ABSTRACT: The study of stochastic PDEs has known tremendous advances in recent years and, thanks to Hairer's theory of regularity structures and Gubinelli and Perkowski's paracontrolled approach, (loc...
Abstract: We consider a random walk jumping on a dynamic graph; that is, a graph that changes at the same time as the walker moves. Previous works considered the case where the graph changes via dynam...
Abstract: A spanning tree of a graph G is a connected subset of G without cycles. The Uniform Spanning Tree (UST) is obtained by choosing one of the possible spanning trees of G at random. The Minimum...
ABSTRACT: Motivated by the problem of detecting a change in the evolution of a network, we consider the preferential attachment random graph model with a time-dependent attachment function. Our goal i...
ABSTRACT: In this talk we will discuss the recent progress on such random growth models as Diffusion Limited Aggregation (DLA) and Dielectric-Breakdown Model (DBM) in 2 and 3 dimensions. These models ...
Abstract: Understanding population status is often challenged by scant abundance and distribution data for many threatened species both in marine and terrestrial environments. Occurrence records are o...
Abstract: Earthquakes and tectonic fault slip are among the most hazardous and unpredictable natural phenomena. Fluids play a key role in tectonic faulting and recent research suggests that fluids are...
