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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
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 ›
