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On the definite rate of monotone growth of ratios in the power-law family

Speaker(s)
Waldemar Pałuba
Affiliation
Uniwersytet Warszawski
Date
Nov. 30, 2007, 10:15 a.m.
Room
room 5840
Seminar
Seminar of Dynamical Systems Group

Some ratios of the lengths of intervals marked by the post-critical orbit in quasi-qudratic families turn out to be monotone in the parameter. We prove they grow with a definite speed bounded away from 1 (measured with respect to the noneuclidean metric).