Pawel Lorek
Published 2011-02-23Version 1
In this paper we find asymptotic distribution for some unreliable networks. Using Markov Additive Structure and Adan, Foley, McDonald method, we find the exact asymptotic for the stationary distribution. With the help of MA structure and matrix geometric approach, we also investigate the asymptotic when breakdown intensity is small. In particular, two different asymptotic regimes for small breakdown intensity suggest two different patterns of large deviations, which is confirmed by simulation study.
Lyapunov functions, stationary distributions, and non-equilibrium potential for chemical reaction networks
Stationary distributions of a model of sympatric speciation
Rigorous bounds on the stationary distributions of the chemical master equation via mathematical programming
![QR code for arXiv:1102.4707 [math.PR]](http://oss.arxitics.com/images/favicon.svg)