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DTSTART:20260329T030000
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DTSTAMP:20260425T005035Z
UID:69b2cbf7d2155912021111@ist.ac.at
DTSTART:20260420T170000
DTEND:20260420T180000
DESCRIPTION:Speaker: Diederik van Engelenburg\nhosted by Laszlo Erdös & Ja
 n Maas\nAbstract: In this talk\, I will focus on behavior of the Ising mod
 el in high dimensions (d 4). Widom proposed that thermodynamic quantities 
 follow power laws governed by critical exponents\, and above the upper cri
 tical dimension d_c = 4\, these exponents reduce to the mean-field values 
 (matching those on trees or complete graphs). I will talk about a recent w
 ork about the so-called one-arm event (the origin connects to distance n) 
 in the FK-Ising model. We observe that this exponent depends on the bound
 ary condition: for wired boundary conditions\, we prove that this probabil
 ity decays up to constants as n^(-1) for d 4\, whereas in infinite volume 
 we prove that it decays as n^(-2) for d 6\, but not for d = 4\, 5.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Diederik van Engelenburg: One-arm exponents for the high dimensiona
 l Ising model
URL:https://talks-calendar.ista.ac.at/events/6350
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