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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:SPDE limits of six-vertex model - Hao Shen (Univer
sity of Wisconsin-Madison)
DTSTART;TZID=Europe/London:20181213T143000
DTEND;TZID=Europe/London:20181213T153000
UID:TALK115759AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/115759
DESCRIPTION:The theme of the talk is deriving stochastic PDE l
imits as description of large-scale fluctuations o
f the six-vertex (6V) model in various regimes. **We will consider two types of 6V model: stochast
ic 6V and symmetric 6V. **

For stochastic 6V in a
weakly asymmetric regime\, under parabolic scalin
g the height function fluctuation converges to sol
ution of KPZ equation after suitable re-centering
and tilting. For symmetric 6V\, in a regime where
parameters are tuned into the ferroelectric/disord
ered phase critical point\, under parabolic scalin
g the line density fluctuations in a one-parameter
family of Gibbs states converge to solution of st
ationary stochastic Burgers.

Again for stochas
tic 6V\, in a regime where the corner-shape vertex
weights are tuned to zero\, under hyperbolic scal
ing\, the height fluctuation converges to the solu
tion of stochastic telegraph equation.

We will
discuss challenges and new techniques in the proo
fs.

Based on a joint work with Ivan Corwin\, Pr
omit Ghosal and Li-Cheng Tsai\, and a joint work w
ith Li-Cheng Tsai.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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