Tootfinder

Absolutely Abelian Hilbert Class Fields and $\ell$-torsion conjecture
Mahesh Kumar Ram, Prem Prakash Pandey, Nimish Kumar Mahapatra
https://arxiv.org/abs/2510.10725 https://

Absolutely Abelian Hilbert Class Fields and $\ell$-torsion conjecture
There are several recent works where authors have shown that number fields $K$ with `sufficiently many' units and cyclic class group contain a Euclidean ideal class provided the Hilbert class field $H(K)$ is an abelian extension of $\mathbb{Q}$. In this article, we explore the latter hypothesis: how often a number field $K$ satisfies that its Hilbert class field $H(K)$ is an abelian extension of $\mathbb{Q}$? We also noticed that for such number fields, when the Hilbert class field is an abelia…

On the Feinberg-Piunovskiy Theorem and its extension to chattering policies
Francois Dufour, Tomas Prieto-Rumeau
https://arxiv.org/abs/2510.04808 https://a…

On the Feinberg-Piunovskiy Theorem and its extension to chattering policies
The Feinberg-Piunovskiy Theorem established in [14, Theorem 3.8] asserts that for a discrete-time uniformly absorbing and atomless Markov Decision Process (MDP) with Borel state space and multiple criteria, the family of deterministic stationary policies is a sufficient class of policies. In this paper, we study some related problems and some extensions. In particular dropping the atomless hypothesis, we establish that the set of chattering stationary policies is a sufficient class of policies …