l Estimates of the topological entropy from below for continuous self-maps on some compact manifolds
Speaker
l Waclaw Marzantowicz
Institute
l UAM Poznan
Date
l 2010-09-10 (Fri)
Time
l 16:00 ~17:00
Place
l E6-1 #3433
VodLink
l
Download
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Abstract
We confirm that Entropy Conjecture holds
for every continuous self-map
of a compact K( π, 1) manifold
with the fund. gr.
π virtually nilpotent,
e.g. for every continuous map of an infra-nilmanifold.
In fact, a lower estimate of the topological entropy
by the logarithm of the spectral radius of exterior power
of an assoc. ”linearization matrix” with integer entries.
This & estimates of Mahler measure of polynom.,
give some absolute lower bounds for the entropy.
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