2 papers
math.PR2009
A phase diagram for a stochastic reaction diffusion system
Carl Mueller, Roger Tribe
In this paper a stochastic reaction diffusion system is considered, which models the spread of a finite population reacting with a non-renewable resource in the presence of individ…
math.PR2005
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees
D. Blömker, M. Romito, R. Tribe
The solutions to a large class of semi-linear parabolic PDEs are given in terms of expectations of suitable functionals of a tree of branching particles. A sufficient, and in some…