Publications
Preprints
On the duality between height functions and continuous spin models (with Marcin Lis) [arXiv ] [pdf ]
The number of ends in the uniform spanning tree for recurrent unimodular random graphs accepted for Annals of Probability (with Tom Hutchcroft) [arXiv] [pdf ]
Published
Harnack inequality and one-endedness of UST on reversible random graphs (with Nathanaël Berestycki), Probab. Theory Relat. Fields (2023) [arXiv] [Journal]
An elementary proof of phase transition in the planar XY model (with Marcin Lis) Commun. Math. Phys. 399, 85 -- 104, (2023) [arXiv] [Journal]
An upper bound on the two-arms exponent for critical percolation on Z^d (with Rob van den Berg), Ann. Inst. H. Poincaré Probab. Statist. 58 (1), 1-- 6, (2022) [arXiv] [journal]
Other
Thesis
On spin systems, height functions and random walks; Vienna, August 2023.
Selected talks
A topological phase transition in the XY model. Italian Probability Meeting, Rome, June 2024.
Pfaffians in spin models and percolation. Percolation and random fields, ETH, June 2024.
Duality between height functions and continuous spin systems. IHES: Probability and analysis informal seminar, May 2024
A BKT transition in the hyperbolic plane. Statistical Physics and Random Surfaces, Oberwolfach. May 2024
A BKT transition in the hyperbolic plane. Vienna Probability Seminar. May 2024
Duality between height functions and continuous spin systems. Workshop on Lattice models, Geneva. January 2024
A topological phase transition in the XY model. Lyon: Probability seminar, November 2023
A topological phase transition in the XY model. Cambridge: probability seminar, November 2023
From disagreement percolation to the BKT transition. At the occasion of Van den Berg's retirement, August 2023
On the geometry of the uniform spanning tree. SPA Lisbon, July 2023
On the duality between height functions and continuous spin systems. Percolation Today, May 2023
On the duality between height functions and continuous spin systems. Chilean Probability seminar, March 2023
The number of ends in the uniform spanning tree. ETH: Seminar on stochastic processes, November 2022
An elementary proof of phase transition in the planar XY model. LA Probability Forum, March 2022.
Harnack inequality and one-endedness of UST on reversible random graphs. Percolation Today, December 2021.