Zhongyang Li




Office: D 2.01

Phone: +44 1223 3 37967

Email: z.li at statslab dot cam dot ac dot uk

Address: Center for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 0WA

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. Critical temperature of periodic Ising models, Commun.Math.Phys, 315, 337-381(2012), arxiv
  3. 1-2 model, dimers, and clusters, Electron. J. Probab. 19 (2014), no. 48, 1-28, journal
  4. Self-avoiding walks and the Fisher transformation, with Geoffrey Grimmett, Electron.J.Combin.,20 (2013), Paper P47, 14 pp arxiv
  5. Uniqueness of the infinite homogeneous cluster in the 1-2 model, Electron. Commun. Probab. 19 (2014), no. 23, 1-8 journal
  6. Bounds on connective constants of regular graphs, with Geoffrey Grimmett, Combinatorica, arxiv
  7. Strict inequalities for connective constants of transitive graphs, with Geoffrey Grimmett, SIDMA, arxiv
  8. Counting self-avoiding walks, with Geoffrey Grimmett, arxiv
  9. Spectral curve of periodic Fisher graphs, submitted. pdf
  10. Conformal invariance of isoradial dimers, submitted, pdf
  11. Locality of connective constants on Cayley graphs, submitted, pdf
  12. Discrete complex analysis and T-graphs, submitted, pdf

Teaching: