gl2 representations 1iwahori filtration 1mod p cohomology 1principal congruence subgroup 1shimura curves 1
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math.PR2026
Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers
Quentin Berger, Francesco Caravenna, Nicola Turchi
The critical 2D Stochastic Heat Flow (SHF) is a universal measure-valued process that provides a notion of solution to the ill-defined 2D stochastic heat equation. We investigate t…
math.PR2026
The Derrida-Retaux model on a geometric Galton-Watson tree
Gerold Alsmeyer, Yueyun Hu, Bastien Mallein
We consider a generalized Derrida-Retaux model on a Galton-Watson tree with a geometric offspring distribution. For a class of recursive systems, including the Derrida-Retaux model…
math.PR2026
Some properties of the principal Dirichlet eigenfunction in Lipschitz domains, via probabilistic couplings
Quentin Berger, Nicolas Bouchot
We study a discrete and continuous version of the spectral Dirichlet problem in an open bounded connected set , in dimension . More precisely, cons…