5 papers

math.NT2026

Transcendence of multivariate Mahler functions and algebraic relations between their values

Enzo Brechler

We study the functional properties of Mahler functions of several variables associated with a large class of Mahler transformations. We prove that these functions are always analyt…

cs.CL2026

New Terms, New Toxicity: Consensus-based Chinese Neologism Toxicity Detection via Search-Augmented LLMs

Shiyao Cui, QingLin Zhang, Di Wang +7

Neologisms, emerging terms in meaning or form, can serve as new vehicles for toxic expression, like "country girl" as a stigmatizing label targeting feminism. Such toxic neologisms…

math.AP2026

Generalized Morrey-Campanato estimates for elliptic equations with coefficients of integrable oscillation

Laurent Seppecher

This work concerns regularity properties of weak solutions to elliptic equations in divergence form -div(au) = div F , under low regularity assumptions on both the coeffici…

math.AP2026

Convergence rates for a rotating MHD system with evanescent viscosity

Frédéric Charve, Zhuoya Yao

In this article, we focus on a MHD model that takes into account the Coriolis force. In this case, the strength of the rotation is measured by the Rossby number (positive). Un…

math.AP2026

Pressure and temperature relaxation limit for a one-velocity Baer-Nunziato model

Cosmin Burtea, Timothée Crin-Barat, Pierre Gonin--Joubert

The dynamics of two-phase flows out of mechanical and thermal equilibrium are described by a partially dissipative first-order quasilinear system with stiff interaction terms assoc…