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- École Normale Supérieure - PSLFR647 papers
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817 papers
Non-Gaussianity from superselection rules
Nicolas Moulonguet, Eloi Descamps, José Lorgeré +3
The quantum theory of the electromagnetic field enables the description of multiphoton states exhibiting nonclassical statistical properties, often reflected in non-Gaussian phase-…
Polyak-Łojasiewicz inequality is essentially no more general than strong convexity for functions
Aziz Ben Nejma
The Polyak-Łojasiewicz (PŁ) inequality extends the favorable optimization properties of strongly convex functions to a broader class of functions. In this paper, we prove a theorem…
Quantitative rigidity of the Wasserstein contraction under convolution
Max Fathi, Michael Goldman, Daniel Tsodyks
The aim of this paper is to investigate the contraction properties of -Wasserstein distances with respect to convolution in Euclidean spaces both qualitatively and quantitativel…
Harmonic functions on Tutte embeddings and linearized Monge-Ampère equation
Mikhail Basok, Dmitry Chelkak, Benoît Laslier +1
We prove convergence of solutions of Dirichlet problems and Green's functions on Tutte harmonic embeddings to those of the linearized Monge--Ampère equation . Mor…
CLT for -ensembles with Freud weights, application to the KLS conjecture in Schatten balls
Charlie Dworaczek Guera, Ronan Memin, Michel Pain
In this paper, we are interested in the -ensembles (or 1D log-gas) with Freud weights, namely with a potential of the form with . Since this potential is not…
From Morse Functions to Lefschetz Fibrations on Cotangent Bundles
Emmanuel Giroux
We prove that, for any Morse function on a compact manifold and any adapted gradient satisfying the Morse-Smale condition, there is a homotopically unique complex-valued symplectic…