5 papers
Probabilities of rare events in product kernel aggregation: An exact formula and phase diagram
R. Goutham, R. Rajesh, V. Subashri +1
We present an exact method for calculating the large deviation function describing rare fluctuations in the number of particles for product-kernel aggregation. Starting from the ma…
Entrance laws for coalescing and annihilating Brownian motions
Roger Tribe, Oleg Zaboronski
Systems of instantaneously annihilating or coalescing Brownian motions on the line are considered. The extreme points of the set of entrance laws for this process are shown to be P…
Exact calculation of the large deviation function for -nary coalescence
R. Rajesh, V. Subashri, Oleg Zaboronski
We study probabilities of rare events in the general coalescence process, , where . For arbitrary , by rewriting these probabilities in terms…
The Stochastic Casimir Effect
Ruibo Kou, Roger Tribe, Oleg Zaboronski
We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on with pairwise immigration. A pair of reflecting or absorbing walls plac…
Exact calculation of the probabilities of rare events in cluster-cluster aggregation
R. Rajesh, V. Subashri, Oleg Zaboronski
We develop an action formalism to calculate probabilities of rare events in cluster-cluster aggregation for arbitrary collision kernels and establish a pathwise large deviation pri…