Probability Seminars——Arm Exponents for Ising and FK-Ising Model
主 题: Probability Seminars——Arm Exponents for Ising and FK-Ising Model
报告人: Prof. Hao Wu (Yau Mathematical Sciences Center, Tsinghua University)
时 间: 2018-05-07 15:00-16:00
地 点: Room 1418, Scieces Building No. 1
Abstract: The introduction of SLE by Oded Schramm provides mathematicians with a new tool to study critical lattice models. In the first part of this talk, I will discuss critical planar percolation and explain how people use SLE to derive the arm exponents of percolation. In the second part, I will introduce SLE and general formulae on arm exponents of SLE, and show that these formulae give us various results on the arm exponents of critical planar Ising and FK-Ising models. Finally, I will explain some related results and some open questions.
