Tootfinder

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordstr\"om Black Hole
Marios A. Apetroaie, Sam C. Collingbourne, Elena Giorgi
https://arxiv.org/abs/2506.04812

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordström Black Hole
We study the linearised Einstein--Maxwell equations on the Reissner--Nordström spacetime and derive the canonical energy conservation law in double null gauge. In the spirit of the work of Holzegel and the second author, we avoid any use of the hyperbolic nature of the Teukolsky equations and rely solely on the conservation law to establish control of energy fluxes for the gauge-invariant Teukolsky variables, previously identified by the third author, along all outgoing null hypersurfaces, for…

Laura Loomer's White House access erases the line between the fringe and mainstream (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/laura-loomers-white-house-access-erases-line-fringe-mainstream-rcna210863
http://www.memeorandum.com/250604/p51#a250604p51

Pugh's global linearization for the nonautonomous unbounded system with $\mu$-dichotomy via Lyapunov theory
Lu Weijie, Xia Yonghui
https://arxiv.org/abs/2506.02855

Pugh's global linearization for the nonautonomous unbounded system with $μ$-dichotomy via Lyapunov theory
The classical global linearization theorem for autonomous system given in [C. Pugh, Amer. J. Math., 91 (1969) 363-367] requires that nonlinear system with hyperbolicity satisfies boundedness and Lipschitz continuity.In this paper, we establish an {\em unbounded} global linearization theorem for nonautonomous systems subject to unbounded Lipschitz perturbations, under the assumption that the linear system admits a nonuniform $μ$-dichotomy (more general than classical exponential dichotomy). To …

J'apprends que le velcro est une invention suisse, et son le nom est la contraction de "velours" et "crochet"
https://www.rts.ch/info/societe/2025/article/le-…

Jesse Lonergan, dessinateur de l’excellent « Arca ou la nouvelle Éden » — objet d’une chronique au Sillon — est l’auteur de « Hedra », second ovni graphique publié en avril 2025 par Les Humanoïdes Associés ; le premier étant « Cometa » d’Elie Huault.
🌊 Continuer la lecture sur le Sillon https://sillon-fictionnel.clu…

Symplectic Hamiltonian Hybridizable Discontinuous Galerkin Methods for Linearized Shallow Water Equations
C. N\'u\~nez (Facultad de Matem\'aticas, Pontificia Universidad Cat\'olica de Chile, Santiago, Chile), M. A. S\'anchez (Instituto de Ingenier\'ia Matem\'atica y Computacional, Facultad de Matem\'aticas y Escuela de Ingenier\'ia, Pontificia Universidad Cat\'olica de Chile, Santiago, Chile)

Symplectic Hamiltonian Hybridizable Discontinuous Galerkin Methods for Linearized Shallow Water Equations
This paper focuses on the numerical approximation of the linearized shallow water equations using hybridizable discontinuous Galerkin (HDG) methods, leveraging the Hamiltonian structure of the evolution system. First, we propose an equivalent formulation of the equations by introducing an auxiliary variable. Then, we discretize the space variables using HDG methods, resulting in a semi-discrete scheme that preserves a discrete version of the Hamiltonian structure. The use of an alternative form…

Meet the QBs in the 2026 NFL draft class: Strengths, weaknesses for 22 intriguing prospects https://www.espn.com/nfl/draft2026/story/_/id/45453107/2026-nfl-draft-quarterback-class-top-prospects-klubnik-sellers…

Netflix überträgt in Frankreich lineares Fernsehen
Gemeinsam mit der Mediengesellschaft TF1 will Netflix in Frankreich bald lineares Fernsehen im Stream anbieten. Die Inhalte kommen ins normale Abo.
https://…

Projective and anomalous representations of categories and their linearizations
Domenico Fiorenza, Chetan Vuppulury
https://arxiv.org/abs/2506.01521 https:…

Projective and anomalous representations of categories and their linearizations
We invesigate the relation between projective and anomalous representations of categories, and show how to any anomaly $J\colon \mathcal{C}\to 2\mathrm{Vect}$ one can associate an extension $\mathcal{C}^J$ of $\mathcal{C}$ and a subcategory $\mathcal{C}^J_{\mathrm{ST}}$ of $\mathcal{C}^J$ with the property that: (i) anomalous representations of $\mathcal{C}$ with anomaly $J$ are equivalent to $\mathrm{Vect}$-linear functors $E\colon \mathcal{C}^J\to \mathrm{Vect}$, and (ii) these are in turn eq…

Data-Driven Transient Growth Analysis
Zhicheng Kai, Peter Frame, Aaron Towne
https://arxiv.org/abs/2507.02525 https://arxiv.org/pdf/2…

Data-Driven Transient Growth Analysis
The transient growth of disturbances made possible by the non-normality of the linearized Navier-Stokes equations plays an important role in bypass transition for many shear flows. Transient growth is typically quantified by the maximum energy growth among all possible initial disturbances, which is given by the largest squared singular value of the matrix exponential of the linearized Navier-Stokes operator. In this paper, we propose a data-driven approach to studying transient growth wherein …