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On the class-breadth conjecture
Alexander Skutin
https://arxiv.org/abs/2506.00952 https://arxiv.org/pdf/2506.00952

On the class-breadth conjecture
The class-breadth conjecture of Leedham-Green, Neumann and Wiegold states that for each $p$-group, $cl(G)\leq b(G) + 1$, where $cl(G)$, $b(G)$ denote the nilpotency class and the breadth of $G$. While several counter-examples to this conjecture have been found for $p = 2$, it is still open in general for $p > 2$. This article is dedicated to one simplified version of the conjecture for $p > 2$.

Search for Magnetic Monopoles with the Complete ANTARES Dataset
A. Albert, S. Alves, M. Andr\'e, M. Ardid, S. Ardid, J. -J. Aubert, J. Aublin, B. Baret, S. Basa, Y. Becherini, B. Belhorma, F. Benfenati, V. Bertin, S. Biagi, J. Boumaaza, M. Bouta, M. C. Bouwhuis, H. Branzas, R. Bruijn, J. Brunner, J. Busto, B. Caiffi, D. Calvo, S. Campion, A. Capone, F. Carenini, J. Carr, V. Carretero, T. Cartraud, S. Celli, L. Cerisy, M. Chabab, R. Cherkaoui El Moursli, T. Chiarusi, M. Circella, J.…

Search for Magnetic Monopoles with the Complete ANTARES Dataset
This study presents a novel search for magnetic monopoles using data collected over a 14 year period (2008-2022) by the ANTARES neutrino telescope. The interaction of magnetic monopoles with matter was modeled according to Kazama, Yang, and Goldhaber cross-section. Upper limits on the flux of magnetic monopoles are obtained for velocities both above and below the Cherenkov threshold. No events consistent with the passage of magnetic monopoles were detected, enabling the setting of an upper flux…

Differential contributions of low-frequency phase and power in crossmodal temporal prediction: A MEG study https://www.biorxiv.org/content/10.1101/2025.05.26.656128v1 on "tactile-to-visual influences on temporal prediction", "broad applicability of …

Differential contributions of low-frequency phase and power in crossmodal temporal prediction: A MEG study
Introduction Our representation of time is embedded within multisensory perception, based on sight, sound, or touch. However, despite being a crucial aspect of daily life, the neural dynamics of cross-modal temporal predictions remain elusive. The objective of this study was to investigate neural correlates of tactile-to-visual influences on temporal prediction using magnetoencephalography (MEG). We hypothesized to observe increased inter-trial phase consistency (ITPC) in the low-frequency delt…

"You are a software worker. And you are able to do your job in more or less good conditions only because you are standing on the shoulders of countless others. We are talking about the fact that if you have 20 days of holidays, if you only work 5 days a week, if you are able to take some days or weeks off after the birth of your child, it is because some others before you have sacrificed their lives so you can work in decent conditions."

This https://arxiv.org/abs/2310.20509 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Effective growth rates in a periodically changing environment: From mutation to invasion
We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the environment, all of these parameters vary over time as piecewise constant and periodic functions, on an intermediate time-scale between those of stabilization of the resident population (fast) and exponential growth of mutants (slow). Studying the growth of eme…