Computing n-point function in a planar two-state fuzzy 4-Potts model, via the convergence of 6V height function to GFF
Holder： Jiaming Xia（Shanghai Institute of Mathematics and Interdisciplinary Studies）
Time：2025-11-17 14:00-15:00
Location：Siyuan Lecture Hall，Zhi Hua Building-225
Abstract:
We consider the planar critical random cluster model on the square lattice with cluster weight q=4. On each cluster we put an independent ±1 spin with probability 1/2, resulting a particular case of fuzzy Potts models. Based on the BKW coupling between random cluster models and 6-vertex models and also based on a recent work-in-progress proving the convergence of 6-vertex height function to GFF, we show how to compute the n-point correlation function of the spin field as the mesh size vanishes, for all n. This is a joint work with Hong-Bin Chen.
About the Speaker:
夏家铭，上海数学与交叉学科研究院助理教授，主要研究方向为概率统计中各种离散模型。多次在国际学术会议上作邀请报告。曾获2024年ICCM鲍剑文最佳论文奖。在Inventiones Mathematicae，Communications in Mathematical Physics 等国际期刊发表论文。获国家自然科学基金优秀青年科学基金项目（海外）资助。
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