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Dynamical Systems Seminar – Tresnia Berah (Imperial)
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Dynamical Systems Seminar – Tresnia Berah (Imperial)

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About This Event

On 3 November 2026, a Dynamical Systems Seminar featuring speaker Tresnia Berah will take place at the Huxley Building on Imperial College London's South Kensington Campus. The event explores selection principles for quasi-stationary distributions and reinforcement processes within reducible kernels. Admission is free to attend.

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 several QSDs may coexist. Under generic assumptions on P and suitable assumptions on the weights and initial condition, there are finitely many QSDs and the asymptotic selection is governed by the summability of 1/W?. If the series ? 1/W? diverges, then ?? converges almost surely towards the QSD associated with the largest Perron value. If the series converges, then ?? converges almost surely towards a QSD, and each QSD is selected with positive probability. For polynomial weights w? = 1 and w? = k^q for k ? 1, the first regime corresponds to ?1 ? q ? 0 and the second to q > 0.

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Frequently asked questions

Dynamical Systems Seminar – Tresnia Berah (Imperial) takes place on Tuesday, 3 November 2026 at 13:00.

Dynamical Systems Seminar – Tresnia Berah (Imperial) is held at Huxley Building, South Kensington Campus in London (145, Huxley Building, SW7 2AZ).

Entry to Dynamical Systems Seminar – Tresnia Berah (Imperial) is free.

The forecast for Dynamical Systems Seminar – Tresnia Berah (Imperial) is Partly cloudy · 13°C.

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Tickets for Dynamical Systems Seminar – Tresnia Berah (Imperial) can be booked via imperial.ac.uk using the "Check Tickets & Live Prices" button on this page, which opens the official booking site in a new tab.

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