Zhongyang Li

I am a postdoc research fellow in Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics, University of Cambridge. My host is Prof. Geoffrey Grimmett.
I finished my Ph.D. in 2011 from the Department of Mathematics at Brown University. My advisor was Prof. Richard Kenyon.
Before coming to Brown, I was an undergraduate student in Fudan University (2002-2006).
I am interested in probability theory and statistical physics.

Publications and Preprints:

1. Local statistics of realizable vertex models, Commun.Math.Phys, 304, 723-763(2011), arxiv
2. Spectral curve of periodic Fisher graphs, accepted upon revision , J.Stat.Phys. arxiv
3. Critical temperature of periodic Ising models, Commun.Math.Phys, 315, 337-381(2012), arxiv
4. 1-2 model, dimers, and clusters, submitted, pdf
5. Self-avoiding walks and the Fisher transformation, with Geoffrey Grimmett, submitted, arxiv
6. Uniqueness of infinite homogeneous clusters in 1-2 model, submitted, arxiv
7. Bounds on connective constants of regular graphs, with Geoffrey Grimmett, submitted, arxiv
8. Strict inequalities for connective constants of transitive graphs, with Geoffrey Grimmett, submitted, arxiv

Teaching:

• Lattice Models in Probability and Statistical Mechanics Description
  Michaelmas 2012, Tuesdays, 12pm-1pm, MR11
  Lecture 1: Introduction, Dimer Model; Read Section 1.1, Section 3 of arxiv:0910.3129
  Lecture 2: Height function; Read Section 2 of arxiv: 0910.3129
  Lecture 3: Torus graph; Read Section 4.2 of arxiv: 0910.3129
  Lecture 4: Partition function, free energy; Read Section 4.5 of arxiv: 0910.3129
  Lecture 5: Local statistics; Secion 3 of arxiv:math/0105054
  Lecture 6: Convergence of the free energy, Read Section 7 of arxiv:math/0008220
  Lecture 7: Ising model and Fisher correspondence, Read Section 3 of arxiv:1008.3934
  Lecture 8: Duality transformation, Dimer model on non-bipartite graphs, Read Section 3 of arxiv:1008.3934
• Introductory Calculus 1
  Fall 2010, MWF 9am-10am, Brown University
  
• Introductory Calculus 2
  Fall 2009, MWF 10am-11am, Brown University