Research-Critical and near-critical models in statistical physics

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Critical and near-critical models in statistical physics

Speaker: Jianping Jiang (NYU Shanghai)
Time: Dec 31, 2019, 09:00-10:00
Location: Conference Room 415, Hui Yuan 3#

Abstract

We introduce and review several two-dimensional lattice models from statistical physics and their conformally invariant scaling limits. Then we focus on the two dimensional near-critical Ising model and its scaling limit. In joint work with Camia and Newman, we proved exponential decay of correlations in this model; we also constructed a Gaussian process using the magnetization field. Both are related to an old physics conjecture about particle masses.