Event time:

Monday, April 3, 2017 - 12:15pm to 1:15pm

Location:

205 LOM

Speaker:

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.