output
20002025
most citedThermodynamics-based Artificial Neural Networks for constitutive modeling

421 citations

researchers with a paper here
collaborating institutions

248 papers

math.AP2025

Existence of multi-solitons with any parameters for the 5D energy critical wave equation

Yvan Martel, Frank Merle

For the focusing, energy critical wave equation in dimension 5, we construct multi-solitons with any number of solitons, any choice of signs, speeds, scaling parameters and transla…

math.PR2025

Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle

Fabrice Gamboa, Jan Nagel, Alain Rouault

Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17…

math.RT2025

An algorithm for Aubert-Zelevinsky duality à la Mœglin-Waldspurger

Thomas Lanard, Alberto Mínguez

Let be a locally compact non-Archimedean field of characteristic , and let be either the split special orthogonal group or the symplectic group $…

stat.ML2025

Asymptotic Normality of Infinite Centered Random Forests -Application to Imbalanced Classification

Moria Mayala, Erwan Scornet, Charles Tillier +1

Many classification tasks involve imbalanced data, in which a class is largely underrepresented. Several techniques consists in creating a rebalanced dataset on which a classifier…

math.PR2025

Extension of a theorem of Wschebor to free and matrix Brownian motions

Catherine Donati-Martin, Alain Rouault

In 1992, M. Wschebor proved a theorem on the convergence of small increments of the Brownian motion. Since then, it has been extended to various processes. We prove a version of th…

math.CO2025

Singular walks in the quarter plane and Bernoulli numbers

Alin Bostan, Lucia Di Vizio, Kilian Raschel

We consider singular (aka genus ) walks in the quarter plane and their associated generating functions , which enumerate the walks starting from the origin, of fixed e…