作者：Git, Y.; Harris, J. W.; Harris, S. C.
作者单位：University of Cambridge; University of Bristol; University of Bath
摘要：We study the high temperature phase of a family of typed branching diffusions initially studied in [Asterisque 236 (1996) 133-154] and [Lecture Notes in Math. 1729 (2000) 239-256 Springer, Berlin]. The primary aim is to establish some almost-sure limit results for the long-term behavior of this particle system, namely the speed at which the population of particles colonizes both space and type dimensions, as well as the rate at which the population grows within this asymptotic shape. Our appro...
作者：Kang, W.; Williams, R. J.
作者单位：Carnegie Mellon University; University of California System; University of California San Diego
摘要：Semimartingale reflecting Brownian motions (SRBMs) living in the closures of domains with piecewise smooth boundaries are of interest in applied probability because of their role as heavy traffic approximations for some stochastic networks. In this paper, assuming certain conditions on the domains and directions of reflection, a perturbation result, or invariance principle, for SRBMs is proved. This provides sufficient conditions for a process that satisfies the definition of an SRBM, except f...
