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SUMMARY:Regularity of SLE: Precise variation and modulus of continuity - Y
 izheng Yuan (Statslab)
DTSTART:20221101T140000Z
DTEND:20221101T150000Z
UID:TALK183194@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:I will present several sharp results on the path regularity of
  SLE (Schramm-Löwner evolution)\, a random fractal curve that is prominen
 t in random conformal geometry and statistical physics. In particular\, I 
 will discuss the modulus of continuity\, law of iterated logarithm\, and v
 ariation regularity. Previous works have determined the optimal Hölder an
 d p-variation exponent\; our results improves them by providing the optima
 l 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.\n\nThis talk is based on a joint project with Nina Holden.
LOCATION:MR12\, Centre for Mathematical Sciences
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