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Principal Well-Rounded Ideals of real quadratic fields
Morgan Smith, Ha T. N. Tran
https://arxiv.org/abs/2508.18518 https://arxiv.org/pdf/2508.18518…

Principal Well-Rounded Ideals of real quadratic fields
It has been well known since Gauss that the principality of an ideal in a real quadratic field $K$ is equivalent to the solvability of a certain generalized Pell equations. In this paper, we combine this classical result with Srinivasan's conditions for the existence of well-rounded ideals in $K$ to obtain necessary and sufficient criteria for a real quadratic field to have principal well-rounded (PWR) ideals. Using these criteria, we prove that there are infinitely many real quadratic fields t…

Comparing the dynamics of idealized squall lines between NWP and LES models
Mirjam Tijhuis, Axel Seifert, Alberto de Lozar, Bart J. H. van Stratum, Chiel C. van Heerwaarden
https://arxiv.org/abs/2506.19435

Comparing the dynamics of idealized squall lines between NWP and LES models
Both Numerical Weather Prediction (NWP) models and Large-Eddy Simulation (LES) models are used to simulate convective systems, such as squall lines, but with different purposes. NWP models aim for the most accurate weather forecasts, whereas LES models are typically used to advance our understanding of physical processes. Therefore, these types of models differ in their design. With increasing computer power, the domain sizes and resolutions of these models converge, which raises the question i…

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https://www.ardmediathek.de/sendung/she-s-music/Y3JpZDovL3J…

Physical blowups via buffered time change in a mean-field neural network
Nikolaos Papadopoulos, Thibaud Taillefumier
https://arxiv.org/abs/2508.15961 https://

Physical blowups via buffered time change in a mean-field neural network
Idealized networks of integrate-and-fire neurons with impulse-like interactions obey McKean-Vlasov diffusion equations in the mean-field limit. These equations are prone to blowups: for a strong enough interaction coupling, the mean-field rate of interaction diverges in finite time with a finite fraction of neurons spiking simultaneously, thereby marking a macroscopic synchronous event. Characterizing these blowup singularities analytically is the key to understanding the emergence and persiste…

Japan Review Early Access articles
https://ift.tt/mPLEowN
CFP: Visibilising Marginalised Early Career Researchers in Peace, Conflict and Security Studies: A…
via Input 4 RELCFP https://