Research

Articles

• Wetting transition on trees I: Percolation with clustering (with Aser Cortines, Itamar Harel and Dmitry Ioffe). Journal of Statistical Physics 192 (2025). arXiv.

• Near-maxima of the two-dimensional discrete Gaussian free field (with M. Biskup and Stephan Gufler). Annales de l'Institut Henri Poincare Probabilites et Statistiques 60.1 (2024) arXiv. 

• A limit law for the most favorite point of simple random walk on a regular tree (with M. Biskup).  The Annals of Probability 52.2 (2024) arXiv.

• Ballot theorems for the two-dimensional discrete Gaussian free field. (with Stephan Gufler). Journal of Statistical Physics 189.13 (2022) arXiv. 

• A scaling limit for the cover time of the binary tree (with Aser Cortines and Santiago Saglietti). Advances in Mathematics 391 (2021), 107974. arXiv. 

• More on the structure of extreme level sets in branching Brownian motion (with A. Cortines and L. Hartung). Electron. Commun. Probab. 26 (2021), paper no. 2. arXiv. 

• A strong law of large numbers for super-critical branching brownian Motion with absorption (with Santiago Saglietti). . Journal of Statistical Physics 181.4 (2020), 1112-1137. arXiv. 

• Conformal symmetries in the extremal process of two-dimensional discrete Gaussian free field (with M. Biskup). Commun. Math. Phys. 375 (2020) 175-235. arXiv. 

• The structure of extreme level sets in branching Brownian motion (with A. Cortines and L. Hartung). The Annals of Probability 47.4 (2019): 2257-2302. arXiv. 

• On intermediate level sets of two-dimensional discrete Gaussian free field (with M. Biskup). Annales de l'Institut Henri Poincare Probabilites et Statistiques. Vol. 55. No. 4. (2019). arXiv. 

• Dynamical freezing in a spin glass system with logarithmic correlations (with A. Cortines and J. Gold). Electronic Journal of Probability. 23 (2018) paper no. 59. arXiv 

• Full extremal process, cluster law and freezing for two-dimensional discrete Gaussian free field (with M. Biskup). Advances in Mathematics. 330 (2018) 589-687. arXiv. 

• Extreme local extrema of two-dimensional discrete Gaussian free field (with M. Biskup). Communications in Mathematical Physics 345, no. 1 (2016): 271-304. arXiv. 

• Distributional large deviations in the branching random walk (with William Perkins). Electronic Journal of Probability. 2015 Feb 24. arXiv. 

• Isoperimetry in two dimensional percolation (with Marek Biskup, Eviatar Procaccia and Ron Rosenthal). Communications on Pure and Applied Mathematics 9, no. 68 (2015): 1483-1531. arXiv. 

• The Williams Bjerknes Model on regular trees (with Ran Tessler and Alexander Vandenberg-Rodes). The Annals of Applied Probability 24 (2014), no. 5, 1889--1917. arXiv. 

• Trapping in the random conductance model (with Marek Biskup, Alex Rozinov and Alexendar Vandenberg-Rode). Journal of Statistical Physics: Volume 150, Issue 1 (2013), Page 66-87. arXiv. 

• Glauber dynamics for the mean field Potts model (with Paul Cuff, Jian Ding, Eyal Lubetzki, Yuval Peres and Allan Sly). Journal of Statistical Physics: Volume 149, Issue 3 (2012), Page 432-477. arXiv. 

• Directed polymers in random environment with heavy tails (with Antonio Auffinger). Communications on Pure and Applied Mathematics, 64 183-204(2011) arXiv. 

• Finite connections for super-critical Bernoulli bond percolation in 2D (with Dmitry Ioffe and Massimo Campanino). Anniversary issue of Mark. Proc. Rel. Fields 16, 225-266 (2010). arXiv. 

• Fixation for distributed clustering processes (with Marcelo R. Hilario, Charles M. Newman, Leonardo T. Rolla, Scott Sheffield and Vladas Sidoravicius). Communications on Pure and Applied Mathematics, 63 926-934 (2010) arXiv. 

Conference Proceedings

• Exploring an infinite space with finite memory scouts (with L. Cohen, Y. Emek and J. Uitto). In proceedings of the 28th ACM-SIAM Symposium on Discrete Algorithms (SODA) 207-224 (2017). arXiv. 

Submitted

• Learning words in groups: fusion algebras, tensor ranks and grokking (with Maor Shutman and Ran Tessler). (2025). arXiv 

• A probabilistic proof for stable fluctuations in the extremal process of branching Brownian Motion.  (with Lisa Hartung and Tinaqi Wu). (2025). arXiv.

• On the growth of the extremal and cluster level sets in branching Brownian Motion (with Lisa Hartung and Tinaqi Wu). (2024). arXiv.

• Tightness for the cover time on wired planar domains (with Santiago Saglietti). (2024). arXiv.

• On the support set of critical Liouville Quantum Gravity (with Marek Biskup and Stephan Gufler). (2024). arXiv.

• Gaussian Free Field on the Tree Subject to a Hard Wall I: Bounds (with Lisa Hartung and Maximilian Fels). (2024). arXiv.

• Gaussian Free Field on the Tree Subject to a Hard Wall II: Law Asymptotics (with Lisa Hartung and Maximilian Fels). (2024). arXiv.

• A toy model for DLA arm growth in a wedge (with C. Oh and E. Procaccia) 2023. arXiv. 

• Large deviations for the empirical distribution in the general branching random walk (with E. Tsairi). arXiv.