15 papers

math.NT2026

Construction Of Non-Odd Galois Representations With Large Image

Donghyeok Lim, Christian Maire

In this work, we construct Galois representations with large image that are not GL r -odd (or, equivalently, not regular at infinity). More precisely, for every prime p {\v e} 3, e…

math.NT2026

On s-split p-Hilbert class field towers with prescribed Galois groups

Christian Maire, Karim Sankara

In this work, we show that given a finite p-group G, a number field K having a trivial p-class group Cl K , and a finite set of primes S of K, there exists a finite extension F/K s…

physics.atom-ph2026

A framework for continuous superradiant laser operation via sequential transport of atoms

Jana El Badawi, Marion Delehaye, Bruno Bellomo

We perform a theoretical study of a continuous superradiant laser supporting its experimental realization at FEMTO-ST using two sequentially-emitting ensembles of ${}^{171}\mathrm{…

math.NT2026

Indivisibility of ray class groups of real quadratic fields

Emmanuel Lecouturier, Christian Maire

Let , p 5 be primes such that p | ( -1). Let > 0 be the fundamental discriminant of a real quadratic field in which splits. We denote by h - ${\…

stat.ML2026

Dirichlet-Based Monte Carlo Dropout for Uncertainty Estimation in Neural Networks

Rouaa Hoblos, Noura Dridi, Noureddine Zerhouni +1

Traditional neural networks provide deterministic predictions without inherent uncertainty estimates. While Bayesian Neural Networks (BNNs) offer a principled approach to uncertain…

math.OC2026

Boundary Stabilization for the Rayleigh Beam System under Event-triggered Controls

Siwen Wang, Yi Cheng, Yuhu Wu +2

In this paper, we propose two event-triggered control laws incorporating an eventtriggering mechanism to tackle the boundary stabilization for the Rayleigh beam system. Under this…