%0 Journal Article
%T Stochastic hybrid systems in equilibrium: moment closure, finite-time blowup, and exact solutions
%A Lee DeVille
%A Sairaj Dhople
%A Alejandro Dominguez-Garcia
%A Jiangmeng Zhang
%J Mathematics
%D 2014
%I arXiv
%X We present a variety of results analyzing the behavior of a class of stochastic processes --- referred to as Stochastic Hybrid Systems (SHSs) --- in or near equilibrium, and determine general conditions on when the moments of the process will, or will not, be well-behaved. We also study the potential for finite-time blowups for these processes, and exhibit a set of random recurrence relations that govern the behavior for long times. In addition, we present a connection between these recurrence relations and some classical expressions in number theory.
%U http://arxiv.org/abs/1411.6600v1