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Title: [Branching Random Walks, Directed Polymers and Genealogies]
Originating Office: IAS
Speaker: Derrida, Bernard
Issue Date: 15-Jul-2010
Event Date: 15-Jul-2010
Group/Series/Folder: Record Group 8.15 - Institute for Advanced Study
Series 3 - Audio-visual Materials
Location: 8.15:3 box 1.5
Notes: IAS Symposium on Statistical Physics: StatPhysHK Day 3.
Abstract: Models of evolution in the presence of selection can be mapped on a mean field version of the problem of directed polymers in a random medium. Analytic and numerical results indicate that the statistical properties of the genealogies in the presence of selection are identical to those of the ultrametric trees of mean field spin glasses, as predicted by the Parisi broken symmetry of replicas. The statistical properties of the fittest individuals, which in the directed polymer problem corresponds to the configurations of lowest energies, can be computed using traveling waves.
Duration: 50 min.
Appears in Series:8.15:3 - Audio-visual Materials
Videos for Public -- Distinguished Lectures