Publications

- Local statistics of realizable vertex models, Commun.Math.Phys, 304, 723-763(2011), arxiv
- Critical temperature of periodic Ising models, Commun.Math.Phys, 315, 337-381(2012), arxiv
- 1-2 model, dimers, and clusters, Electron. J. Probab. 19 (2014), no. 48, 1-28, journal
- Self-avoiding walks and the Fisher transformation, with Geoffrey Grimmett, Electron.J.Combin.,20 (2013), Paper P47, 14 pp arxiv
- Uniqueness of the infinite homogeneous cluster in the 1-2 model, Electron. Commun. Probab. 19 (2014), no. 23, 1-8 journal
- Bounds on connective constants of regular graphs, with Geoffrey Grimmett, Combinatorica, 35 (2015), no. 3, 279-294 arxiv
- Strict inequalities for connective constants of transitive graphs, with Geoffrey Grimmett, SIAM J. Discrete Math. 28 (2014), no. 3, 1306–1333, arxiv
- Spectral curve of periodic Fisher graphs, Journal of Mathematical Physics 55, 123301 (2014); pdf
- Conformal invariance of dimer heights on isoradial double graphs, ANNALES DE L’INSTITUT HENRI POINCARÉ D, vol. 4 (2017), 273-307, pdf
- Critical surface of the hexagonal polygon model, with Geoffrey Grimmett, Journal of Statistical Physics 163 (2016), no. 4, 733–753, arxiv
- The 1-2 model, with Geoffrey Grimmett, Contemporary Mathematics 696 (2017) , 139-152, arxiv
- Connective constants and height functions for Cayley graphs, with Geoffrey Grimmett, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5961–5980, arxiv
- Critical surface of the 1-2 model, with Geoffrey Grimmett, Int. Math. Res. Not. IMRN, no. 2 (2018), 6617–6672, arxiv
- 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
- Self-avoiding walks and amenability, with Geoffrey Grimmett, the Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), Paper #P.4.38, arxiv,
- Locality of connective constants, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 341, Issue 12, December 2018, Pages 3483-3497
- Constrained percolation in two dimensions, with Alexander Holroyd, arxiv, ANNALES DE L’INSTITUT HENRI POINCARÉ D, journal
- Weighted self-avoiding walks, with Geoffrey Grimmett, arxiv, Journal of Algebraic Combinatorics (JACO), journal
- Mixing time of Markov chains for the 1-2 model, arxiv, Journal of Statistical Physics, 176(6)(2019), 1526-1560
- Cubic graphs and the golden mean, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 343, Issue 1, January 2020, 111638 journal
- Constrained percolation, Ising model and XOR Ising model on planar lattices, Random Structures and Algorithms, accepted arxiv
- Positive speed self-avoiding walks on graphs with more than one end, Journal of Combinatorial Theory, Series A, Volume 175, October 2020, 105257 journal
- Asymptotics of Schur functions on almost staircase partitions, Electronic Communications in Probability, accepted,arxiv, pdf

Preprints

- Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices, with Cédric Boutillier, arxiv
- Schur function at general points and limit shape of perfect matchings on contracting square hexagon lattices with piecewise boundary conditions, arxiv, pdf
- Fluctuations of dimer heights on contracting square-hexagon lattices, arxiv, pdf
- Exact recovery of community detection in k-partite graph models, arxiv, pdf
- On the identifiability of interaction functions in systems of interacting particles, with Fei Lu, Mauro Maggioni, Sui Tang, Cheng Zhang,arxiv, pdf
- Site percolation on planar graphs, arxiv, pdf
- Ising percolation on nonamenable planar graphs, arxiv, pdf