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Critical and near-critical models in statistical physics

  • 演讲者:姜建平(上海纽约大学)

  • 时间:2019-12-31 09:00-10:00

  • 地点:慧园3栋 415报告厅

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.