Correlation Length in the Near-Critical Planar Ising Model

Seminar | March 13 | 3-4 p.m. | 1011 Evans Hall

 Charles Newman, Courant Institute, NYU

 Department of Statistics

I will discuss joint work with Federico Camia and Jianping
Jiang (arXiv:1707.02668) which proves exponential decay of correlations
for the generalized random field that is the scaling limit of the
near-critical (i.e., with small magnetic field at the critical
temperature) two-dimensional Ising model. The proof involves
both lattice and continuum FK (Fortuin-Kasteleyn) representations
of the Ising model and the use
of coupled conformal loop and measure ensembles.

 CA, sganguly@berkeley.edu