Title: ``Measuring shapes with random Delaunay mosaics.'' Abstract: Classically, we are used to working with shapes embedded into the square lattice. It might be anything, a pixelated photo of a maple leaf, or a 3d-scanned voxelated image of a human…
Title: ``Deciphering asymmetric spiked tensor models via random matrix theory.'' Abstract: In this talk, we will present an asymptotic analysis of large asymmetric spiked tensor models, relying on tools from random matrix theory. In the first part of the…
Title: ``Monotonicity of the logarithmic energy for random matrices''. Abstract: In this talk I will present an entropy functional for the mean empirical spectral distribution of random matrices which appears to be monotonic along the classical limit theorems of Wigner,…
Title: ``Self-organized criticality and avalanches in 2D forest fires''. Abstract: Bernoulli percolation is a model for random media introduced by Broadbent and Hammersley in 1957. In this process, each vertex of a given graph is occupied or vacant, with…
Title: ``Conformally invariant fields out of Brownian loop soups.'' Abstract: For each central charge c in (0,1], we construct a conformally invariant field which is a measurable function of the local time field L of the Brownian loop soup with…
Title: ``bmt-independence: combining notions of independence'' Abstract: In this talk we will present a framework where monotonic, Boolean and (classical) tensor independence can coexist. In a sense, we generalize Wysoczańsky's bm- independence by allowing the tensor case to be included…
Title: ``Planar aggregation with subcritical fluctuations and the Hastings-Levitov models''. Abstract: The ALE (Aggregate Loewner Evolution) models describe growing random clusters on the complex plane, built by iterated composition of random conformal maps. A striking feature of these models is…
Title: ``Weak uniqueness for the stochastic heat equation.'' Abstract: We consider the problem of uniqueness in law of the stochastic heat equation driven by a multiplicative stable noise without negative jumps. We will briefly mention the motivations behind this and…
Title: ``Asymptotic expansions in Random Matrix Theory and application: the case of Haar unitary matrices'' Abstract: Recently we developed a method to compute asymptotic expansions of certain quantities coming from Random Matrix Theory. More precisely if one considers the expectation…
Title: ``From the minimal spanning tree problem to the Erdős-Rényi graph''. Abstract: As an introduction to the Erdős- Rényi graph, I will present a possibly original approach to the famous problem initiated by Alan Frieze of the asymptotic weight of…
Title: ``On crossing probabilities in critical random-cluster models.'' Abstract: I will discuss exact solvability results (in a sense) for scaling limits of interface crossings in critical random-cluster models in the plane with various general boundary conditions. The results are rigorous…
Title: ``Robustness via distributional reinforcement learning’’. Abstract: In dynamic programming (DP) and reinforcement learning (RL), an agent learns to act optimally in terms of expected long-term return by sequentially interacting with its environment modeled by a Markov decision process (MDP). More…