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Non-autonomous iteration of the exponential family

Speaker(s)
Krzysztof Lech
Affiliation
Uniwersytet Warszawski
Date
May 17, 2019, 10:15 a.m.
Room
room 5840
Seminar
Seminar of Dynamical Systems Group

We shall discuss Julia sets of iterations of functions \lambda_n e^z, where \lambda_n changes at each step. Recall that in the autonomous case the parameter \lambda = 1/e is the largest one for which the Julia set is not the whole plane. Various generalizations of this result to non-autonomous systems will be presented.