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CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VEVENT
DTSTAMP:20220923T165012Z
DTSTART:20220928T140000Z
DTEND:20220928T150000Z
SUMMARY:Yuki Tokushige - Scaling limits of a SRW on the Long-Range percol
 ation cluster (online)
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}f9w-l8aaopq
 5-buh08n
DESCRIPTION:Yuki Tokushige (Kyushu University) will speak in the Probabil
 ity seminar. \n\nIn this talk\, we will discuss a Long-Range Percolation
  (LRP) on $\\mathbb{Z}^d$\, which is a variant of the classical nearest-
 neighbor Bernoulli percolation. In particular\, we consider a problem co
 ncerning a SRW on the infinite cluster of a LRP. In the paper published 
 in 2013\, Crawford and Sly proved that a SRW on the infinite cluster sca
 les to $\\alpha$-stable process. However\, they completed the proof only
  when $\\alpha\\in(0\, 1)$. It is because the remaining case involves a 
 technical problem to do with a control of short jumps of a SRW\, which i
 s related to the fact that sample paths of $\\alpha$-stable process have
  infinite variations for $\\alpha\\in[1\, 2)$. In this talk\, we will gi
 ve a brief overview of this subject and explain our idea to overcome the
  technical issue depicted above and complete the proof of the case $\\al
 pha\\in[1\, 2)$. This talk is based on a joint work with Noam Berger (Te
 chnical University of Munich).\n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:https://zoom.us/j/97662591193
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