Ergodic properties of large circles: from Euclidean to hyperbolic geometry
Speaker:
Emilio CorsoSpeaker Affiliation:
UBCSpeaker Link:
https://www.emiliocorso.com/September 29, 2022
ESB 4133
Vancouver, BC V6T 1Z4
CanadaErgodic Theory Seminar
Abstract:
What happens to a progressively dilating body when folding the space in which it lives? For a start, we shall examine the problem in a Euclidean context, surveying results of Randol and Strichartz through the quantitative, fractal-geometric viewpoint of Fourier dimension. Afterwards, we take up the same question in hyperbolic spaces, briefly overviewing the equidistribution theorems of Randol and Sarnak while focusing instead on their upgrade to unit tangent bundles, due originally to Margulis and later refined quantitatively in our joint work with Ravotti. If time permits, we present applications of the latter result to closely related probabilistic and number-theoretic questions.
3:00 pm
Hybrid event - if attending in person, please wear a mask
https://ubc.zoom.us/j/62940386857?pwd=V1pEaXM4WjFTakptZlppZWV3aDQ0UT09
Meeting ID: 629 4038 6857
Passcode: 345643
Meeting ID: 629 4038 6857
Passcode: 345643
Event Details
September 29, 2022
3:00pm to 4:00pm
ESB 4133
Vancouver, BC, CA
V6T 1Z4