Speaker: Michael Carlisle, Baruch College, CUNY
ABSTRACT
We introduce the beginnings of a framework under which to analyze stochastic processes that contain a stochastic component in the index variable that is not monotonically increasing (i.e., allows forward and backward time). There is a connection between branching, annihilating, coalescing (BRANCO) processes that evolve in forward-only time and one-particle processes evolving in stochastic time which allows particle multiplicities to occur to a forward time observer. We give examples involving simple random walks, and describe homomorphisms between, on one side, classes of forward-time spatial processes under stochastic time change, and on the other side, BRANCO processes under forward time.