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SUMMARY:Alena Erchenko (Dartmouth College)
DTSTART:20240502T161500Z
DTEND:20240502T173000Z
DTSTAMP:20260423T021929Z
UID:NEDNT/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/75/">F
 lexibility and rigidity for Cantor repellers</a>\nby Alena Erchenko (Dartm
 outh College) as part of New England Dynamics and Number Theory Seminar\n\
 nLecture held in Online.\n\nAbstract\nWe will consider dynamical systems t
 hat we call Cantor repellers which are expanding maps on invariant Cantor 
 sets coming from iterated function systems. Cantor repellers have two natu
 ral invariant measures: the measure of full dimension and the measure of m
 aximal entropy. We show that dimensions and Lyapunov exponents of those me
 asures are flexible up to well understood restrictions. We will also discu
 ss the boundary case for the range of values of the considered dynamical d
 ata. This is joint work with Jacob Mazor.\n
LOCATION:https://researchseminars.org/talk/NEDNT/75/
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