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SUMMARY:Matan Seidel (Tel Aviv University)
DTSTART:20200323T123000Z
DTEND:20200323T133000Z
DTSTAMP:20260423T041353Z
UID:HSPETDS/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/10/"
 >Random walks on circle packings</a>\nby Matan Seidel (Tel Aviv University
 ) as part of Horowitz seminar on probability\, ergodic theory and dynamica
 l systems\n\n\nAbstract\nA circle packing is a canonical way of representi
 ng a planar graph. There is a deep connection between the geometry of the 
 circle packing and the probabilistic property of recurrence/transience of 
 the simple random walk on the underlying graph\, as shown in the famous He
 -Schramm Theorem. The removal of one of the Theorem's assumptions - that o
 f bounded degrees - can cause the theorem to fail. However\, by using cert
 ain natural weights that arise from the circle packing for a weighted rand
 om walk\, (at least) one of the directions of the He-Schramm Theorem remai
 ns true. In the talk I will present some of the theory of circle packings 
 and random walks and discuss some of the ideas used in the proof. Joint wo
 rk with Ori Gurel-Gurevich.\n
LOCATION:https://researchseminars.org/talk/HSPETDS/10/
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