Statistics Seminars: On long term behaviour of non-homogeneous random walks motivated by biological applications.
30 January 2017 14:00 in CM221
This talk concerns the long term evolution of a continuous time Markov chain formed by two interacting birth-and-death processes and motivated by modelling interaction between populations. We show transience/recurrence of the Markov chain under fairly general assumptions on transition rates and describe in more detail its asymptotic behaviour in some transient cases.
Based on joint work with M.Menshikov.
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