Alexander Glazman University of Innsbruck
Ass. Prof. Alexander Glazman, PhD
E-mail: alexander.glazman@uibk.ac.at
Office 728, Technikerstraße 13/7, 6020 InnsbruckPhone: +43 512 507 53930
About me
I am an Assistant Professor at the University of Innsbruck and the PI of the FWF Stand-Alone grant "Order-disorder phase transitions in 2D lattice models".
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.
Loop O(n) model, Six-vertex model, Ashkin-Teller model, random-cluster model, Self-Avoiding Walk, Ising model.
I did my Ph.D. at the University of Geneva in 2016 under the supervision of Stanislav Smirnov. The title of my PhD thesis is Properties of self-avoiding walks and a stress-energy tensor in the O(n) model. I obtained a degree Candidate of Physico-mathematical sciences and completed my master's degree in St Petersburg at PDMI and SPbU, both under supervision of Dmitry Karpov.
Postdoc job offer
"Postdoc in Probability, University of Innsbruck"
Postdoc job offerTeaching
- Winter 2022/23: Introduction to Higher Stochastics (Einführung in die Höhere Stochastik)
- Summer 2023: Discrete Probability in models of Mathematical Physics, more information
Papers
- Phase diagram of the Ashkin-Teller model
Available on arXiv
Joint work with Yacine Aoun and Moritz Dober - Structure of Gibbs measures for planar FK-percolation and Potts models
To appear in Probability and Mathematical Physics 2022+
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 PredstavleniÄ 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