Dr. Englander's research concerns discrete and continuous models in probability theory. These include spatial branching particle systems and superprocesses, and their relationship to nonlinear partial differential equations, and furthermore non-classical random walks such as for example the Tree Builder Walk, as well as inhomogeneous Markov chains and the random walks induced by them which themselves are non-Markovian.
keywords
Spatial branching processes, superprocesses, nonlinear partial differential equations, random environments, interacting particle systems, non-classical random walks, inhomogeneous Markov chains, random tree evolutions