概率论，渗流理论(Percolation theory)，随机图，统计物理，Schramm-Loewner evolution

       渗流模型是关于相变的最简单的概率模型, 其研究对其他相变模型有重要影响. 近年来, 二维临界渗流的研究取得突破性进展, 特别是Schramm-Loewner evolution的提出, 三角网格上的临界点渗流的尺度极限存在且共形不变的证明以及正方形网格上的临界random-cluster model大尺度性质旋转不变的证明. Werner, Smirnov, Duminil-Copin因相关工作分别于2006年, 2010年, 2022年荣获菲尔兹奖.

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2020-04~现在, 中国科学院数学与系统科学研究院, 副研究员

2013-06~2020-04, 中国科学院数学与系统科学研究院, 助理研究员

2011-07~2013-06, 北京大学, 博士后

Chang-Long Yao: Convergence of limit shapes for 2D near-critical first passage percolation. Ann. Inst. H. Poincare Probab. Statist. (2024)

Chang-Long Yao: Limit of the Wulff crystal when approaching criticality for isoperimetry in 2D percolation. Electronic Journal of Probability (2023)

Chang-Long Yao: Asymptotics for 2D critical and near-critical first-passage percolation. Probability Theory and Related Fields (2019)

Jianping Jiang, Chang-Long Yao: Critical first-passage percolation starting on the boundary. Stochastic Processes and their Applications (2019)

Chang-Long Yao: Multi-arm incipient infinite clusters in 2D: scaling limits and winding numbers. Ann. Inst. H. Poincare Probab. Statist. (2018)

Chang-Long Yao: Limit theorems for critical first-passage percolation on the triangular lattice. Stochastic Processes and their Applications (2018)

Chang-Long Yao, Tian-De Guo: The coverage holes of the largest component of random geometric graph. Acta Mathematicae Applicatae Sinica (English Series) (2015)

Chang-Long Yao: Law of large numbers for critical first-passage percolation on the triangular lattice. Electronic Communications in Probability (2014)

Ge Chen, Chang-Long Yao, Tian-De Guo: The asymptotic size of the largest component in random geometric graphs with some applications. Advances in Applied Probability (2014)

Chang-Long Yao: A CLT for winding angles of the arms for critical planar percolation. Electronic Journal of Probability (2013)

Chang-Long Yao: A note on geodesics for supercritical continuum percolation. Statistics and Probability Letters (2013)

Chang-Long Yao, Ge Chen, Tian-De Guo: Large deviations for the graph distance in supercritical continuum percolation. Journal of Applied Probability (2011)

Ge Chen, Tian-De Guo, Chang-Long Yao: Some properties for the largest component of random geometric graphs with applications in sensor networks. Acta Mathematicae Applicatae Sinica (English Series) (2009)

近期报告：

2023.05.01 报告题目: Isoperimetry in two-dimensional percolation

                  会议名称: Universality in Probability Theory and Statistical Physics 

                                  (The second International Conference for Chinese Young Probability Scholars)

2022.06.27 报告题目: Convergence of limit shapes for 2D near-critical first-passage percolation

                  会议名称: The 42nd Conference on  Stochastic Processes and their Applications

2021.05.18 报告题目: Asymptotics for near-critical first-passage percolation on the triangular lattice

                  Online seminar: Percolation Today

科研项目:

2020-2025 参加 科技部项目 SLE与正则性结构理论以及量子系统的概率与信息特征

2017-2019 主持 青年科学基金项目 二维临界渗流及其标度极限研究

交流活动：

2017.07-2018.6 受 Geoffrey Grimmett 教授邀请在剑桥大学访学一年