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, 35 (2015), no. 3, 279-294 arxiv
  7. Strict inequalities for connective constants of transitive graphs, with Geoffrey Grimmett, SIAM J. Discrete Math. 28 (2014), no. 3, 1306–1333, arxiv
  8. Spectral curve of periodic Fisher graphs, Journal of Mathematical Physics 55, 123301 (2014); pdf
  9. Conformal invariance of dimer heights on isoradial double graphs, ANNALES DE L’INSTITUT HENRI POINCARÉ D, vol. 4 (2017), 273-307, pdf
  10. Critical surface of the hexagonal polygon model, with Geoffrey Grimmett, Journal of Statistical Physics 163 (2016), no. 4, 733–753, arxiv
  11. The 1-2 model, with Geoffrey Grimmett, Contemporary Mathematics 696 (2017) , 139-152, arxiv
  12. Connective constants and height functions for Cayley graphs, with Geoffrey Grimmett, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5961–5980, arxiv
  13. Critical surface of the 1-2 model, with Geoffrey Grimmett, Int. Math. Res. Not. IMRN, no. 2 (2018), 6617–6672, arxiv
  14. Self-avoiding walks and connective constants, with Geoffrey Grimmett, arxiv, Sojourns in Probability Theory and Statistical Physics III (2019), pp 215-241, Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman, journal
  15. Self-avoiding walks and amenability, with Geoffrey Grimmett,  the Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), Paper #P.4.38, arxiv,
  16. Locality of connective constants, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 341, Issue 12, December 2018, Pages 3483-3497
  17. Constrained percolation in two dimensions, with Alexander Holroyd, arxiv, ANNALES DE L’INSTITUT HENRI POINCARÉ D, journal
  18. Weighted self-avoiding walks, with Geoffrey Grimmett, arxiv, Journal of Algebraic Combinatorics (JACO), 52, 77–102(2020), journal
  19. Mixing time of Markov chains for the 1-2 model, arxiv, Journal of Statistical Physics, 176(6)(2019), 1526-1560
  20. Cubic graphs and the golden mean, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 343, Issue 1, January 2020, 111638 journal
  21. Constrained percolation, Ising model and XOR Ising model on planar lattices, Random Structures and Algorithms, accepted, arxiv
  22. Positive speed self-avoiding walks on graphs with more than one end, Journal of Combinatorial Theory, Series A, Volume 175, October 2020, 105257, arxiv
  23. Asymptotics of Schur functions on almost staircase partitions, Electronic Communications in Probability, Volume 25 (2020), paper no. 51, 13 pp, arxiv, pdf
  24.  Limit shape and height fluctuations of random perfect matchings on square- hexagon lattices, with Cédric Boutillier, ANNALES DE L’INSTITUT FOURIER, accepted, arxiv
  25. On the identifiability of interaction functions in systems of interacting particles, with Fei Lu, Mauro Maggioni, Sui Tang, Cheng Zhang, arxiv, Stochastic Processes and Their Applications, accepted


  1. Exact recovery of community detection in k-community Gaussian mixture models, pdf
  2. Brownian snails with removal: pandemics in a diffusing population, with Geoffrey Grimmett, arxiv
  3. Site percolation on planar graphs, pdf
  4. Ising percolation on nonamenable planar graphs, pdf
  5. Schur function at general points and limit shape of perfect matchings on contracting square hexagon lattices with piecewise boundary conditions, arxiv
  6. Fluctuations of dimer heights on contracting square-hexagon lattices, arxiv, pdf
  7. Exact recovery of community detection in k-partite graph models, arxiv,
  8. Limit shape of perfect matchings on contracting bipartite graphs, pdf
  9. On the coercivity condition in the learning of interacting particle systems, with Fei Lu, pdf


Simons Visiting Professorship, Oberwolfach, Germany, 2020


  1. PI for NSF DMS-1608896 2016-2020 100K USD
  2. PI for Simons Collaboration Grant-351813 2015-2020 35K USD (voluntarily declined after 1st year)
  3. NSF DMS 1643027, PI: Rinat Ridem, 4000 USD, awarded 2017 for participating IHP trimester Combinatorics and Interactions
  4. Co-PI for NSF conference grant DMS-1823060 2018-2020 49998 USD
  5. PI for Simons Collaboration Grant-638143 2019-2024 42K USD