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Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems
Paulo Akira F. Enabe, Rodrigo Provasi
https://arxiv.org/abs/2510.06653

Mass-Lumped Virtual Element Method with Strong Stability-Preserving Runge-Kutta Time Stepping for Two-Dimensional Parabolic Problems
This paper presents a mass-lumped Virtual Element Method (VEM) with explicit Strong Stability-Preserving Runge-Kutta (SSP-RK) time integration for two-dimensional parabolic problems on general polygonal meshes. A diagonal mass matrix is constructed via row-sum operations combined with flooring to ensure uniform positivity. Stabilization terms vanish identically under row summation, so the lumped weights derive solely from the $L^2$ projector and are computable through a small polynomial system …

Variable Block-Correlation Modeling and Optimization for Secrecy Analysis in Fluid Antenna Systems
Tuo Wu, Kwai-Man Luk, Jie Tang, Kai-Kit Wong, Jianchao Zheng, Baiyang Liu, David Morales-Jimenez, Maged Elkashlan, Kin-Fai Tong, Chan-Byoung Chae, Fumiyuki Adachi, George K. Karagiannidis
https://arxiv.org/abs/2510.03594

Variable Block-Correlation Modeling and Optimization for Secrecy Analysis in Fluid Antenna Systems
Fluid antenna systems (FAS) are emerging as a transformative enabler for sixth-generation (6G) wireless communications, providing unprecedented spatial diversity through dynamic reconfiguration of antenna ports. However, the inherent spatial correlation among ports poses significant challenges for accurate analysis. Conventional models such as Jakes are analytically intractable, while oversimplified constant-correlation models fail to capture the true behavior. In this work, we address these ch…

On norms on Harish-Chandra modules
Joseph Bernstein, Pritam Ganguly, Bernhard Kr\"otz, Job Kuit, Eitan Sayag
https://arxiv.org/abs/2510.09370 https://…

On norms on Harish-Chandra modules
The Casselman-Wallach theorem is a foundational result in the theory of representations of real reductive groups connecting algebraic representations to topological representations. We provide a quantitative version of this theorem. For that we introduce the notion of {\it Sobolev gap} for a Harish-Chandra module. This is a new invariant whose finiteness is highly non-trivial. We determine the Sobolev gap for representations in the unitary dual of the group $\SL(2,\R)$ and establish uniform fin…