Titlebook: Computation and Combinatorics in Dynamics, Stochastics and Control; The Abel Symposium, Elena Celledoni,Giulia Di Nunno,Hans Zanna Munthe-

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Heavy Tailed Random Matrices: How They Differ from the GOE, and Open Problems,ed. Not only it was shown that their spectral measure converges to the semi-circle law, but fluctuations both global and local were analyzed in fine details. More recently, the domain of universality of these results was investigated, in particular by Erdos-Yau . and Tao-Vu et al. This survey articl

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,An Analyst’s Take on the BPHZ Theorem,ivergent integrals appearing in generalised convolutions of functions with a singularity of prescribed order at their origin. We hope that the formulation given in this article will appeal to an analytically minded audience and that it will help to clarify to what extent such renormalisations are ar

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Parabolic Anderson Model with Rough Dependence in Space,al Brownian motion with Hurst parameter . in the space variable. We derive the Wiener chaos expansion of the solution and a Feynman-Kac formula for the moments of the solution. These results allow us to establish sharp lower and upper asymptotic bounds for the .th moment of the solution.

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Perturbation of Conservation Laws and Averaging on Manifolds,v fast motion is a family of Markov process with generator . for which we obtain a quantitative locally uniform law of large numbers and obtain the continuous dependence of their invariant measures on the parameter .. These results are obtained under the assumption that . satisfies Hörmander’s brack

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Free Probability, Random Matrices, and Representations of Non-commutative Rational Functions, the asymptotic freeness phenomenon, which occurs for many types of independent random matrices, such distributions can describe the asymptotic eigenvalue distribution of corresponding random matrix models when their dimension tends to infinity. For non-commutative polynomials and rational functions

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Computation and Combinatorics in Dynamics, Stochastics and ControlThe Abel Symposium,

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Facilitated Exclusion Process,ocess they are GUE). We also discuss a two-dimensional crossover between GUE, GOE and GSE distribution by studying the multipoint distribution of the first particles when the rate of the first one varies. In terms of half-space last passage percolation, this corresponds to last passage times close t