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SUMMARY:Welding of the Backward SLE and Tip of the Forward SLE - Zhan\, D 
 (Michigan State University)
DTSTART:20150618T142000Z
DTEND:20150618T152000Z
UID:TALK59872@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-author: Steffen Rohde (University of Washington)\n\nLet $ka
 ppain(0\,4]$. A backward chordal SLE$_kappa$ process generates a conformal
  welding $phi$\, which is a random auto-homeomorphism of $mathbb R$ that s
 atisfies $phi^{-1}=phi$ and has a single fixed point: $0$. Using a stochas
 tic coupling technique\, we proved that the welding $phi$ satisfies the fo
 llowing symmetry: Let $h(z)=-1/z$. Then $h	rc phi	rc h$ has the same law a
 s $phi$. Combining this symmetry result with the forward/backward SLE symm
 etry and the conformal removability of forward SLE curve\, we then derived
  some ergodic property of the tip of a forward SLE$_kappa$ curve for $kapp
 ain(0\,4)$. \n
LOCATION:Seminar Room 1\, Newton Institute
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