Omega-limit sets for the Stein-Ulam spiral map

Prelegent(ci)

Krzysztof Barański

Afiliacja

Uniwersytet Warszawski

Termin

15 maja 2009 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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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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