École Normale Supérieure de Rennes

output

20052025

most citedDegenerate parabolic stochastic partial differential equations: Quasilinear case

90 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2021Show all

5 papers · 1 filter

cs.LG2021★ 1 cited

Nonasymptotic one-and two-sample tests in high dimension with unknown covariance structure

Gilles Blanchard, Jean-Baptiste Fermanian

Let $X = (X_{i})_{1 \leq i \leq n}$ be an i.i.d. sample of square-integrable variables in $R^{d}$ , \GB{with common expectation $μ$ and covariance matrix $Σ$ , both unkn…

math.OC2021

Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains

Jimmy Lamboley, Arian Novruzi, Michel Pierre

In this paper we prove that solutions to several shape optimization problems in the plane, with a convexity constraint on the admissible domains, are polygons. The main terms of th…

cs.PL2021

Verified Functional Programming of an Abstract Interpreter

Lucas Franceschino, David Pichardie, Jean-Pierre Talpin

Abstract interpreters are complex pieces of software: even if the abstract interpretation theory and companion algorithms are well understood, their implementations are subject to…

math.AP2021★ 1 cited

Invariant Gibbs measure for a Schrodinger equation with exponential nonlinearity

Tristan Robert

We investigate the invariance of the Gibbs measure for the fractional Schrodinger equation of exponential type (expNLS) $i \partial_{t} u + (- Δ)^{\frac{α}{2}} u = 2 γ β e^{β ∣ u ∣^{2}} u$ on $d$ -d…

math.AP2021

Heat equation on the Heisenberg group: observability and applications

Karine Beauchard, Piermarco Cannarsa

We investigate observability and Lipschitz stability for the Heisenberg heat equation on the rectangular domain $Ω = (- 1, 1) \times T \times T$ taking as observation…