Omega-limit sets for the Stein-Ulam spiral map

Speaker(s)

Krzysztof Barański

Affiliation

Uniwersytet Warszawski

Date

May 15, 2009, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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We consider a quadratic map of the 2-dimensional simplex to itself, studied by Stanisław Ulam and Paul Stein in the 1950's. Those maps arise in the theory of population genetics. One of them has the behavior much different than the 96 other ones. We determine the typical $\omega$-limit set for this map, answering a question of Vallander from 1972. This is a joint work with Michał Misiurewicz.

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