On the local Hoelder exponent of the entropy function

Group Actions and Dynamics
Event time: 
Monday, April 3, 2017 - 12:15pm to 1:15pm
205 LOM
Giulio Tiozzo
Speaker affiliation: 
University of Toronto
Event description: 

A question for your real analysis students: can you find a function whose local Hoelder
exponent at any point equals the *value* of the function?
It turns out that such functions arise quite naturally from dynamical systems, and we will see
two examples which come from expanding circle maps and from real quadratic polynomials.
The proof is elementary.