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Applications of Freidlin-Wentzell theory to population processes
Freidlin-Wentzell theory grants powerful tools to study the behaviour of dynamical systems perturbed by small noise. It applies naturally to ecological processes modelling large populations, as demographic noise scales as the inverse of the population size. This entails asymptotic estimates for the expected time to extinction, the typical path to extinction and the quasi-stationary distribution conditioned on non-extinction, formulated as large deviations results.
Date:
29 October 2025, 11:00
Venue:
24-29 St Giles', 24-29 St Giles' OX1 3LB
Venue Details:
Department of Statistics; Small lecture theatre
Speaker:
Eloi Martin (University of Oxford)
Organising department:
Department of Statistics
Part of:
Junior Probability Seminar
Booking required?:
Not required
Audience:
Members of the University only
Editor:
William Garrett