How quickly can we sample a uniform domino tiling of the 2L x 2L square via Glauber dynamics?
With Fabio Tonninelli, Probability theory and related field, 2015, Vol 161, Issue 3, p509-559.
Lozenge tilings, Glauber dynamics and macroscopic shape.
With Fabio Toninelli, Communications in Mathematical Physics, 2015, Vol 338 Issue 3, p1287-1326.
Central limit theorem for T-graphs.
Reinforcement learning from comparisons: Three alternatives is enough, two is not
With Jean-François Laslier, Ann. Appl. Probab, 2017, Vol 27, Number 5, p2907-2925
Critical exponents on Fortuin--Kasteleyn weighted planar maps
With Nathanaël Berestycki and Gourab Ray, Comm. Math. Phys., 2017, Vol 355, Issue 2, p. 427–462
Hydrodynamic limit equation for a lozenge tiling Glauber dynamics
With Fabio Toninelli, Annales Henri Poincaré 2017, Vol 18, Issue 6, p. 2007–2043.
Dimers and imaginary geometry
With Nathanaël Berestycki and Gourab Ray. To appear in Annals of Probability
A note on dimers and T-graphs
With Nathanaël Berestycki and Gourab Ray.
Lozenge tiling dynamics and convergence to the hydrodynamic equation
With Fabio Toninelli, Comm. Math. Phys., 2018, Vol 358, p. 1117-1149
Local limits of lozenge tilings are stable under bounded boundary height perturbation
Probability theory and related fields, 2019, Vol 173, Issue 3-4, p. 1243-1264
The dimer model on Riemann surfaces, I
With Nathanaël Berestycki and Gourab Ray.
Logarithmic variance for the height function of square-ice
With Hugo Duminil-Copin, Matan Harel, Aran Raoufi and Gourab Ray.
Dimer model and holomorphic functions on t-embeddings of planar graphs
With Dmitry Chelkak and Marianna Russkikh.
Stochastic dynamics of discrete interface and dimer models.