Yizheng Yuan - Regularity of SLE: Up-to-constant variation and modulus of continuity
| Dates: | 1 February 2023 |
|---|
| Times: | 15:00 - 16:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
|
|
Yizheng Yuan (University of Cambridge) will speak in the Probability seminar. (in-person)
I will present several sharp results on the path regularity of SLE (Schramm-Löwner evolution), a random fractal curve that is prominent in random conformal geometry and statistical physics. In particular, I will discuss the modulus of continuity, law of iterated logarithm, and variation regularity. Previous works have determined the optimal Hölder and p-variation exponent; our results improve them by providing the optimal (up to constant) gauge function with the correct logarithmic correction. As a key step in the proof, we obtain sharp estimates on the lower tail of the Minkowski content.
This talk is based on a joint paper with Nina Holden.
Travel and Contact Information
Find event
Frank Adams Room 2 (1.212)
Alan Turing Building
Manchester
