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SUMMARY:Jianping Jiang/姜建平
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260423T024030Z
UID:iccm2020/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/26/
 ">The high dimensional Ising model with free boundary conditions</a>\nby J
 ianping Jiang/姜建平 as part of ICCM 2020\n\n\nAbstract\nWe study the c
 ritical Ising model with free boundary conditions on finite domains in $\\
 mathbb{Z}^d$ with $d\\geq4$. Under the assumption\, so far only proved com
 pletely for high $d$\, that the critical infinite volume two-point functio
 n is of order $|x-y|^{-(d-2)}$ for large $|x-y|$\, we prove the same is va
 lid on large finite cubes with free boundary conditions\, as long as $x\, 
 y$ are not too close to the boundary. We also prove that the scaling limit
  of the near-critical (small external field) Ising magnetization field wit
 h free boundary conditions is Gaussian with the same covariance as the cri
 tical scaling limit\, and thus the correlations do not decay exponentially
 . This is very different from the situation in low $d$ or the expected beh
 avior in high $d$ with bulk boundary conditions. This is joint work with F
 . Camia and C.M. Newman.\n
LOCATION:https://researchseminars.org/talk/iccm2020/26/
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