Talks Archive

Upcoming Talks

February 25, 2026 › Nicolai Gerber › Formation of clusters and coarsening in weakly interacting diffusions

We study weakly interacting diffusions on the one-dimensional torus and show how finite-range attraction leads to cluster formation and metastable coarsening via either coalescence or mass exchange, captured by a joint Eyring–Kramers–type model. A new strict Riesz rearrangement then characterizes global free-energy minimizers, revealing that only uniform or single-cluster states can persist. Read More ›

January 28, 2026 › Konstantin Recke › Voronoi percolation on a product of trees

Bernoulli–Voronoi percolation combines geometric randomness with classical percolation, creating a two-parameter model whose phase transitions reveal surprisingly rich structure. In this talk, Konstantin introduces both the discrete and Poisson settings. He uncovers an unexpected low-intensity behavior of the uniqueness threshold on the product of two 3-regular trees. The resulting phenomenon can be applied to answer affirmatively a question of Hutchcroft and Pete (2020) and Pete and Rokob (2025) Read More ›

Previous Talks

December 17, 2025 › Giulia Sebastiani › From Parisi to Boltzmann: via GREM and TAP

In this talk, Giulia explores how abstract, fully solvable hierarchical models can shed new light on the Parisi landscape for mean-field spin glasses. By revisiting the TAP representation of the SK free energy, she uncovers a natural path to constructing nonlinear, GREM-like Hamiltonians whose thermodynamics admit strikingly compact Parisi-type formulas. These models reveal a correction mechanism that markedly narrows the gap to the true SK free energy. Read More ›

November 26, 2025 › Eszter Couillard › The speed of biased random walks among dynamical random conductances

Eszter will present the variable speed random walk on dynamical i.i.d. conductances on the d-dimensional lattice. Read More ›

October 29, 2025 › Michel Reitmeier › The contact process with dormancy

In his talk, Michel considers an extension of the classical contact process that incorporates an additional type-switching mechanism, allowing individuals to alternate between being dormant or active. Read More ›

September 30, 2025 › Vaccation mode › Summer break

POPS is heaving a well-deserved summer break. We will be back in October when the new term will have started Read More ›

August 27, 2025 › Vaccation mode › Summer break

POPS is heaving a well-deserved summer break. We will be back in October when the new term will have started Read More ›

July 30, 2025 › Michel Reitmeier › The contact process with dormancy

June 25, 2025 › Rebecca Steiner › A Random Walk Approach to Broadcasting on Random Recursive Trees

In her talk, Rebecca considers the broadcast of messages through a tree, where each transmission may alter the message with a predefined error probability. The goal is to reconstruct the original message using Pólya urns and dependent random walks. Read More ›

May 28, 2025 › Matthew Dickson › On an operator approach for hyperbolic random connection models

Matthew presents recent results on phase transitions, mean-field critical behaviour, and asymptotic expansions of the critical thresholds for the hyperbolic random connection model. Read More ›

April 30, 2025 › Giacomo Passuello › Cutoff and mixing trichotomy for the simple random walk on random digraphs

In his talk Giacomo studies the mixing behaviour of random walks on the directed Chung-Lu graph and a directed version of the stochastic block model. Read More ›

April 02, 2025 › One World Project › One World Probability Seminar

Operator norms of Gaussian random matrices with arbitrary variance profiles exhibit superconcentration phenomena that generalize the seminal Tracy-Widom bounds beyond the i.i.d. case. Read More ›

January 29, 2025 › Harry Giles › Self-repelling walks in dimension d = 2

In this talk we study the large time behaviour of self-repelling walks in dimension d=2. Read More ›

December 11, 2024 › Esmée Theewis › Large deviations for stochastic evolution equations

This talk is about a new large deviation result for solutions to quasilinear SPDEs with small Gaussian noise. Read More ›

November 27, 2024 › Marilyn Korfhage › Percolation in the Poisson Boolean model

In her talk, Marilyn presents recent results on the Poisson Boolean model with convex grains. In particular, she presents conditions to distinguish whether the union of all grains cover the whole space, contains an unbouded connected component without covering the whole space, or decomposes in finite components only. Read More ›

October 30, 2024 › Dennis Chemnitz › Dennis Chemnitz: Dynamical Properties of SDEs with Shear

In this talk, Dennis presents recent results on dynamical properties of SDEs with shear. Read More ›

September 25, 2024 › Martina Favero › Martina Favero: Stochastic processes in population genetics under strong selection

In this talk, Martina presents recent results on approximations of Wright--Fisher diffusions in the strong selection regime. Read More ›

August 28, 2024 › Ben Robinson › Bicausal optimal transport for SDEs with irregular coefficients

In this talk, Ben will present a method for comparing solutions of different SDEs, bringing together ideas from optimal transport, stochastic analysis, and numerical methods for SDEs with irregular coefficients. Read More ›

July 31, 2024 › Martijn Gösgens › The Projection Method: a Geometric Framework for Community Detection

In this talk Martijn presents the projection methods for community detection. Read More ›

June 26, 2024 › Lucas Roberto de Lima › First-passage percolation on random geometric graphs: Asymptotic shape and further results

This presentation delves into the first-passage percolation model, employing independent and identically distributed random variables on the infinite connected component of a random geometric graph. Read More ›

May 29, 2024 › Diala Hawat › Repelled point processes with application to numerical integration

In this talk, Diala will introduce a repulsion operator for Poisson Point Processes, which reduces clustering within configurations. This reduces the variance for the corresponding Monte Carlo estimator of integrals. Read More ›

April 24, 2024 › Alejandro Hernandez Wences › Lamperti Transforms of Self-Similar Measure-Valued Processes and Simple Coalescents

In this presentation, Alejandro will share his collaborative work with Arno Siri-Jégousse in which they derived a Lamperti transform for self-similar processes that take values in normed vector spaces. Read More ›

March 27, 2024 › Andjela Sarkovic › Cutoff for random walk on random graphs with a community structure

Andjela will discuss the random walk on a variant of the configuration with a community structure. She will prove results on whether this walk displays a cut-off phenomenon. This is a joint work with Perla Sousi and Jonathan Hermon. Read More ›

February 28, 2024 › Jonas Köppl › Dynamical Gibbs variational principles and applications

Jonas will be speaking about the long-time behaviour of interacting particle systems, that admit a Gibbs measure as stationary distribution. The aim of the talk is to derive that for translation-invariant systems also all possible limit points of the associated measure-valued dynamics are of Gibbs form. Read More ›

January 31, 2024 › Jiaming Chen › New stochastic Fubini theorem of measure-valued processes via stochastic integration

Jiaming will introduce a new equivalent of Fubini's Theorem for functions that are integrated with respect to a stochastic kernel from the predictable sigma - field to Z. Based on joint work with Tahir Choulli and Martin Schweizer. Read More ›

December 13, 2023 › Zsuzsa Baran › Phase transition for cutoff on graphs with an added weighted random matching

Zsuzsa will consider a range of graphs and then add an amount of randomness that can be characterised by a single parameter. She will then discuss, given this parameter, the cutoff phenomenon for a wide range of base graphs. Read More ›

November 29, 2023 › Luis Mario Chaparro Jáquez › A numerical scheme for SDEs with distributional drift

Luis will find the theoretical rate of convergence for the Euler-Maruyama method for SDEs with distributional drift. He will also implement a numerical scheme to compare his results. Read More ›

October 25, 2023 › Isabella Goncalves de Alvarenga › Multitype Contact Process

Isabella will introduce the Multitype Contact Process and give results on the tightness and position of the interface. Read More ›

September 27, 2023 › Félix Foutel-Rodier › A spinal approach for the convergence of branching processes to the Brownian CRT

In this talk, Félix will discuss general methods for proving that the limit for a given branching process is the Brownian Continuum Random Tree (CRT) Read More ›

August 30, 2023 › Tara Trauthwein › Gaussian Approximation of Poisson Functionals via Malliavin-Stein Method

In this talk, Tara will explain how to find quantitative central limit theorems for functionals of a Poisson measure. An illustrative example using an on-line nearest neighbour graph will also be given. Read More ›

July 26, 2023 › Steffen Betsch › Pair interaction point processes

Steffen will discuss Point Processes with pair interactions, giving a rigorous definition of pair interaction process and providing guarantees of their existence. In the case of a repulsive interaction Steffen will prove that that this process is also unique. Read More ›

June 28, 2023 › Noah Halberstam › Infinite trees in the arboreal gas

The arboreal gas, alternatively known as the edge weighted unrooted spanning forest model, is equivalent to Bernoulli percolation conditioned to be acyclic.Using probabilistic techniques, Noah will show that in low dimensions d=3,4 the infinite tree is unique, and give strong heuristic evidence that the number of infinite trees is in fact infinite in higher dimensions. Read More ›

May 31, 2023 › Zsófia Talyigás › Speed Results on the N-particle Branching Random Walk

In this talk Zsófia will discuss her results on the speed of the particle cloud in the N-BRW in the case when the jump distribution has stretched exponential tails. Read More ›

April 26, 2023 › Bas Lodewijks › A Study of the Random Recursive Tree

Bas will be discussing results for the random recursive tree - a random labelled tree of size n, sampled uniformly from all increasing trees of size n. Read More ›