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Lecture 8: (U. of Cambridge): Oscillatory escape: a Non-Poissonnian escape process

Presented by: 
David Holcman CNRS - Ecole Normale Superieure Paris, University of Cambridge
Date: 
Friday 15th April 2016 - 14:30 to 17:00
Venue: 
INI Seminar Room 2
Abstract: 
This lecture introduces novel concepts in asymptotic of second order PDE. It is a continuation of lecture 7. The motivation is coming from noisy dynamical systems, modelling neuronal networks with synaptic properties. The lecture presents a novel matched asymptotic, based on Mobius conformal mapping, Hopf normal form, to estimate the distribution of exit times and exit points (concentrated at one boundary point). The spectrum of the Fokker-Planck non-selfadjoint operator is computed. The role of the second eigenvalue is explained and generated the oscillation escape.



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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons