Publications

  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), 25pp; 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, 24pparxiv,
  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, Ann. Inst. Henri Poincaré Comb. Phys. Interact.8 (2021), 323–375,
  18. Weighted self-avoiding walks, with Geoffrey Grimmett, arxiv, Journal of Algebraic Combinatorics (JACO), 52, pages77–102(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, 32pp journal
  21. Constrained percolation, Ising model and XOR Ising model on planar lattices, Random Structures and Algorithms, 57 (2020), no. 2, 474–525 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 journal
  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, Ann. Inst. Fourier (Grenoble) 71 (2021), no. 6, 2305–2386,arxiv
  25. On the identifiability of interaction functions in systems of interacting particles, with Fei Lu, Mauro Maggioni, Sui Tang, Cheng Zhang, Stochastic Processes and Their Applications, 132 (2021), 135–163, arxiv
  26. Exact recovery of community detection in k-partite graph models, Journal of Statistical Physics, volume 182, Article number: 6 (2021)
  27. Limit shape of perfect matchings on contracting bipartite graphs, Int. Math. Res. Not. IMRN 2022, no. 12, 9173–9208, arxiv, pdf
  28. Schur function at general points and limit shape of perfect matchings on contracting square hexagon lattices with piecewise boundary conditions, International Mathematics Research Notices, acceptedarxiv, pdf
  29. Asymptotics of dimer coverings on rail-yard graphs, International Mathematics Research Notices, acceptedarxiv
  30. Brownian snails with removal: pandemics in a diffusing population, with Geoffrey Grimmett, Electron. J. Probab. 27 (2022), Paper No. 78, 31 pp, arxiv, pdf
  31. Fluctuations of dimer heights on contracting square-hexagon lattices, AIHP D, accepted, arxiv, pdf
  32. Ising percolation on nonamenable planar graphs, Journal of Mathematical Physics, accepted, arxiv, pdf
  33. On the coercivity condition in the learning of interacting particle systems, with Fei Lu, Stochastics and Dynamics, accepted pdf
  34. Asymptotics of pure dimer coverings on rail-yard graphs, with Mirjana Vuletic, Forum of Mathematics, Sigma, accepted,pdf

Preprints

  1. Exact recovery of community detection in k-community Gaussian mixture models, arxiv, pdf
  2. Matchings on random regular hypergraphs, pdf
  3. Hyperbolic site percolation, with Geoffrey Grimmett, arxiv, pdf
  4. Percolation critical probabilities of matching lattice-pairs, with Geoffrey Grimmett, arxiv, pdf
  5. Exact recovery of community detection in dependent Gaussian mixture models, with Sichen Yang, arxiv, pdf
  6. Asymptotics of dimer coverings on free boundary rail-yard graphs, arxiv
  7. Planar site percolation via tree embeddings, arxiv
  8. Planar site percolation on semi-transitive graphs, arxiv
  9. Asymptotics of bounded lecture hall tableaux, with David Keating and Istvan Prause, arxiv

Awards

  1. Simons Visiting Professorship, Oberwolfach, Germany, 2020
  2. Research Membership, MSRI, Berkeley, Fall 2021

Grants

  1. PI for NSF DMS-1608896 2016-2022 127990 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