Seminar für dynamische Systeme – Tresnia Berah (Imperial)

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Speaker: Tresnia Berah Title: Selection principles for quasi-stationary distributions and reinforcement processes Abstract: (https://arxiv.org/abs/2606.25857) Let P be a sub-Markov matrix on a finite set S. We study a reinforced process that evolves according to P until absorption and is then resurrected at a point sampled from its weighted past occupation measure ??, with positive weights w? and cumulative weights W? = w? + ? + w?. Whereas the irreducible case leads to almost sure convergence towards the unique quasi-stationary distribution (QSD), we consider reducible kernels, for which sev…