Office 06.121, Oskar-Morgenstern-Platz 1
About me
My field of research lies at the intersection of Probability Theory and Mathematical Physics.
Models of statistical mechanics that I am mostly interested in are:
Loop O(n) model, Six-vertex model, Ashkin-Teller model, random-cluster model, Self-Avoiding Walk, Ising model.
Papers
- Structure of Gibbs measures for planar FK-percolation and Potts models
Available on arXiv
Joint with Ioan Manolescu
- Macroscopic loops in the loop \(O(n)\) model via the XOR trick
Available on arXiv
Joint with Nicholas Crawford, Matan Harel, and Ron Peled
- On the transition between the disordered and antiferroelectric phases of the \(6\)-vertex model
Available on arXiv
Joint with Ron Peled
- Exponential decay in the loop \(O(n)\) model: \(n > 1, x<\tfrac{1}{\sqrt{3}}+\varepsilon(n)\)
In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius, (2021), 455-470
Joint with Ioan Manolescu
- Uniform Lipschitz functions on the triangular lattice have logarithmic variations
Communications in Mathematical Physics (CMP), vol. 381, 3, (2021), 1153-1221
Joint with Ioan Manolescu
-
Self-avoiding walk on \(\mathbb{Z}^2\) with Yang-Baxter weights: universality of critical fugacity and 2-point function
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques (AIHP), vol. 56, 4, (2020)
Joint with Ioan Manolescu
- Macroscopic loops in the loop O(n) model at Nienhuis' critical point
Journal of the European Mathematical Society (JEMS), vol. 23, 1, (2021), 315--347
Joint with Hugo Duminil-Copin, Ron Peled and Yinon Spinka
- Discrete stress-energy tensor in the loop O(n) model
Available on the arXiv
Joint with Dmitry Chelkak and Stanislav Smirnov
- On the probability that self-avoiding walk ends at a given point
Annals of Probability (AOP) 44 (2016), no. 2, 955-983
Joint with Hugo Duminil-Copin, Alan Hammond and Ioan Manolescu
- Connective constant for a weighted self-avoiding walk on \(\mathbb{Z}^2\)
Electronic Communications in Probability (ECP) 20 (2015), no. 86, 1-13
- Generalized flowers in k-connected graph. Part 2
(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 417 (2013), Kombinatorika i Teoriya Grafov. VI, 11-85;
translation in J. Math. Sci. (N.Y.) 204 (2015), no. 2, 185–231
- Forms of higher degree over certain fields
(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 394 (2011), Voprosy Teorii Predstavleniĭ Algebr i Grupp. 22, 209--217, 296;
translation in J. Math. Sci. (N.Y.) 188 (2013), no. 5, 591–595
Joint with Alexander Sivatski, Dmitry Stolyarov and Pavel Zatitsky
- Generalized flowers in k-connected graph
(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 391 (2011), Kombinatorika i Teoriya Grafov. III, 45-78;
translation in J. Math. Sci. (N.Y.) 184 (2012), no. 5, 579–594