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Seminar on stochastic processes

Members of the probability group are involved in co-organizing remote specialized seminars that take place on Tuesdays and Thursdays:

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Autumn Semester 2026

Date / Time Speaker Title Location
23 September 2026
17:15-18:45 		Prof. Dr. Fredrik Viklund
KTH Royal Institute of Technology
Details

Seminar on Stochastic Processes

Title Confined planar Coulomb gases
Speaker, Affiliation Prof. Dr. Fredrik Viklund, KTH Royal Institute of Technology
Date, Time 23 September 2026, 17:15-18:45
Location HG G 43
Abstract I will discuss probabilistic and analytic aspects of two-dimensional Coulomb gases confined to Jordan domains, curves, and arcs. In particular, I will describe the asymptotic behavior of particle distributions as the number of particles tends to infinity. I will also explain how the Loewner energy and related quantities arise in the asymptotic expansion of the free energy. A key analytical tool throughout is the Grunsky operator. The talk is based on joint work with Kurt Johansson and Klara Courteaut.
Confined planar Coulomb gasesread_more
HG G 43
30 September 2026
17:15-18:45
Details

Seminar on Stochastic Processes

Title No talk
Speaker, Affiliation
Date, Time 30 September 2026, 17:15-18:45
Location HG G 43
No talk
HG G 43
7 October 2026
17:15-18:45
Details

Seminar on Stochastic Processes

Title No talk
Speaker, Affiliation
Date, Time 7 October 2026, 17:15-18:45
Location HG G 43
No talk
HG G 43
14 October 2026
17:15-18:45 		Prof. Dr. Marianna Russkikh
University of Notre Dame
Details

Seminar on Stochastic Processes

Title From Dimers to Maximal Surfaces in Minkowski Space R^{2,1}
Speaker, Affiliation Prof. Dr. Marianna Russkikh, University of Notre Dame
Date, Time 14 October 2026, 17:15-18:45
Location HG G 43
Abstract We discuss a class of graph embeddings into Minkowski space R^{2,2} = C^{1,1}, called t-surfaces, which arise in the study of the planar dimer model. A t-surface consists of a (perfect) t-embedding together with its associated origami map. Perfect t-embeddings were recently introduced as a key tool for proving that the gradient of the dimer height function converges to that of the Gaussian Free Field in a canonically associated metric, under suitable technical assumptions. After introducing the notion of a t-embedding, we describe a construction of perfect t-embeddings for regular hexagons of the hexagonal lattice. For which the corresponding t-surfaces converge to space-like maximal surfaces in Minkowski space R^{2,1}. As a consequence, this construction yields a new proof of the convergence of fluctuations of the dimer height function to the Gaussian Free Field in the conformal structure induced by the limiting maximal surface.
From Dimers to Maximal Surfaces in Minkowski Space R^{2,1}read_more
HG G 43
21 October 2026
17:15-18:45
Details

Seminar on Stochastic Processes

Title No talk
Speaker, Affiliation
Date, Time 21 October 2026, 17:15-18:45
Location HG G 43
No talk
HG G 43
4 November 2026
17:15-18:45 		Prof. Dr. Rajat Subhra Hazra
University of Leiden
Details

Seminar on Stochastic Processes

Title Opinion dynamics on random networks: Consensus and rewiring
Speaker, Affiliation Prof. Dr. Rajat Subhra Hazra, University of Leiden
Date, Time 4 November 2026, 17:15-18:45
Location HG G 43
Abstract In this talk, we discuss the voter model on sparse random networks, where individuals hold one of two opinions and update their opinions through interactions with their neighbours. We consider two different settings and investigate how the structure and evolution of the underlying network influence the dynamics of opinions. First, we study the voter model on a directed random network with a prescribed degree distribution. Our main interest is the time needed for the system to reach consensus, when all individuals share the same opinion. We show that the expected consensus time grows linearly with the size of the network and identify the precise constant governing this growth. Next, we consider a random regular network that evolves through a rewiring mechanism, where pairs of edges are randomly disconnected and reconnected. We show that, in large networks, the proportions of the two opinions evolve according to a diffusion process whose fluctuations depend on the degree and the frequency of rewiring. We also establish a homogenization effect, showing that the connections between individuals with different opinions become increasingly well mixed. Our results rely on the connection between voter models and coalescing random walks, together with the properties of sparse random networks. They illustrate how network structure and rewiring influence the long-term behaviour of opinion dynamics. The talk is based on a couple of joint works with Luca Avena, Rangel Baldasso, Federico Capannoli, Frank den Hollander and Matteo Quattropani.
Opinion dynamics on random networks: Consensus and rewiringread_more
HG G 43
11 November 2026
17:15-18:45 		Dr. Asaf Cohen Antonir
Technical University of Vienna
Details

Seminar on Stochastic Processes

Title The infamous upper tail problem: from regular to irregular graphs
Speaker, Affiliation Dr. Asaf Cohen Antonir, Technical University of Vienna
Date, Time 11 November 2026, 17:15-18:45
Location HG G 43
Abstract Let G(n,p) be the binomial random graph of density p and let X_H be the number of (unlabelled) copies of a fixed graph H in G(n,p). The study of these random variables goes back to the early works of Erdős and Rényi, and their typical behaviour is now well understood. Let G(n,p) be the binomial random graph of density p, and let X_H be the number of (unlabelled) copies of a fixed graph H. While the typical behaviour of X_H is well understood, its large deviations, particularly the upper tail probability, have proved much more challenging. Even for triangle counts, precise logarithmic asymptotics for the upper tail probability were obtained only relatively recently, in breakthrough work of Harel, Mousset, and Samotij. Together with subsequent work by Basak and Basu, this essentially settled the upper tail problem for connected regular graphs. In this talk, we will discuss the difficulties that arise for irregular graphs and present new results extending the work of Basak and Karmakar to sparser edge probabilities. Our results account for an additional entropy contribution and cover an essentially optimal range for certain classes of irregular graphs. The talk is based on joint work with Matan Harel, Frank Mousset, and Wojciech Samotij.
The infamous upper tail problem: from regular to irregular graphsread_more
HG G 43
25 November 2026
17:15-18:45 		Prof. Dr. Pascal Maillard
Université de Toulouse
Details

Seminar on Stochastic Processes

Title The critical percolation window in growing random graphs
Speaker, Affiliation Prof. Dr. Pascal Maillard, Université de Toulouse
Date, Time 25 November 2026, 17:15-18:45
Location HG G 43
Abstract I will discuss the critical window for percolation for a class of models in the universality class of sparse growing random graphs. This includes uniformly grown random graphs and some inhomogeneous random graphs of preferential-attachment type. Previous works have shown that these models exhibit an infinite order phase transition at the percolation threshold. In a recent work with Jorritsma and Mörters (https://arxiv.org/pdf/2512.18937), we show that the critical window has width of order $(\log n)^{-2}$, with a secondary phase transition at its finite upper boundary. We also study the size of the largest component and of the susceptibility inside the critical window. The proofs make use of the local limit of the graphs, which can be described through a certain branching random walk. However, studying the critical window requires a higher precision than what is provided by local limit. In pursing this, we also obtain new results on branching random walks killed outside an interval and on random walks with Laplace-distributed steps, which may be of independent interest.
The critical percolation window in growing random graphsread_more
HG G 43
2 December 2026
17:15-18:45 		Prof. Dr. Nathanaël Berestycki
University of Vienna.
Details

Seminar on Stochastic Processes

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Nathanaël Berestycki, University of Vienna.
Date, Time 2 December 2026, 17:15-18:45
Location HG G 43
Title T.B.A.
HG G 43
9 December 2026
17:15-18:45 		Dr. Romain Panis
Université Lyon 1
Details

Seminar on Stochastic Processes

Title Title T.B.A.
Speaker, Affiliation Dr. Romain Panis, Université Lyon 1
Date, Time 9 December 2026, 17:15-18:45
Location HG G 43
Title T.B.A.
HG G 43
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17:15-18:45 		Prof. Dr. Bram Petri
Sorbonne Université
Details

Seminar on Stochastic Processes

Title Title T.B.A.
Speaker, Affiliation Prof. Dr. Bram Petri, Sorbonne Université
Date, Time NaN undefined NaN, 17:15-18:45
Location HG G 43
Title T.B.A.
HG G 43

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