Tootfinder

I am quite sick and tired of the D-party doing little more than useless posturing (such as writing letters to El Cheeto) or simply asking for money. (The purpose of that money is almost never sufficiently described, if the purpose is described at all.)
So it is good to hear that new candidates are arising who will challenge the fuddy-duddy-crats of the D-party. (My own Congress Critter included.)
Note to others: We need good, fresh faces filling elective posts at *all* levels -…

No shit, Sherlock.
https://www.aljazeera.com/news/liveblog/2025/6/24/live-trump-announces-ceasefire-no-confirmation-from-israel-iran?update=3797073

Revisiting the Effect of Grid-Following Converter on Frequency Dynamics -- Part II: Spatial Variation
Jiahao Liu, Cheng Wang, Tianshu Bi
https://arxiv.org/abs/2507.15362

Revisiting the Effect of Grid-Following Converter on Frequency Dynamics -- Part II: Spatial Variation
Besides the center of inertia (COI) frequency dynamics addressed in Part I, the spatial frequency variation in power systems with grid-following (GFL) converters is also crucial. Part II revisits the effect of GFLs on frequency spatial variation. Leveraging the interfacing state variables and equivalent frequency defined in Part I, an extended frequency divider (FD) formula is proposed. The linearized mapping relationship between network node frequency and synchronous generator (SG) rotor frequ…

Dichotomy for the Hausdorff dimension of nonergodic directions on translation surfaces
Yuming Wei
https://arxiv.org/abs/2507.15870 https://

Dichotomy for the Hausdorff dimension of nonergodic directions on translation surfaces
We study the ergodic properties of the translation surface $X_{λ,μ}$ formed by gluing two flat tori along a slit with holonomy $(λ,μ) \in \mathbb{R}^2$. Extending the dichotomy result of Cheung, Hubert, and Masur for the case $μ= 0$, we prove the following: for slits not parallel to any absolute homology class, the Hausdorff dimension of the set of nonergodic directions is either $0$ or $\frac{1}{2}$. This dichotomy is completely characterized by the Pérez-Marco condition expressed in ter…

Global well-posedness of the Majda-Biello system in the resonant case on the real line
Xin Yang
https://arxiv.org/abs/2507.17565 https://arxiv.org/pdf/2507…

Global well-posedness of the Majda-Biello system in the resonant case on the real line
We study the Cauchy problem for the following Majda-Biello system in the case $α=4$, which has the most significant resonance effect, on the real line. \[ \left\{ \begin{array}{l} u_{t} + u_{xxx} = - v v_x, v_{t} + αv_{xxx} = - (uv)_{x}, (u,v)|_{t=0} = (u_0,v_0) \in H^{s}(\mathbb{R}) \times H^{s}(\mathbb{R}), \end{array} \right. \quad x \in \mathbb{R}, \, t \in \mathbb{R}. \] For Sobolev regularity $s\in[\frac34, 1)$, we establish the global well-posedness by refining the I-method.…

Third round of Ukraine-Russia peace talks set for July 23, Zelensky says: https://benborges.xyz/2025/07/21/third-round-of-ukrainerussia-peace.html

Hamburg police have understood what “defensive #democracy” means:
“Does flying the 🏳️‍🌈 flag violate the neutrality requirement? No! Our neutrality means political impartiality – but not neutrality in value. The flag represents values like diversity, tolerance & equality of rights, which are deeply embedded in our constitution.
Positioning ourselves against hate & discrimi…

Andreas Froese (@Andreas_Froese@mastodon.social)
Attached: 1 image Im Bundestag geht die Polizei auf Anordnung der Präsidentin und der Verwaltung gegen die #Regenbogenfahne vor. Die Hamburger Polizei hat dagegen dieses stabile Statement offiziell veröffentlicht. Klare Worte zur #Neutralität mit einer klaren #Haltung! #LGBTQIA+ #Regenbogenflagge #Queer

Existence and asymptotical behavior of normalized solutions to focusing biharmonic HLS upper critical Hartree equation with a local perturbation
Jianlun Liu, Hong-Rui Sun, Ziheng Zhang
https://arxiv.org/abs/2507.14896

Existence and asymptotical behavior of normalized solutions to focusing biharmonic HLS upper critical Hartree equation with a local perturbation
This paper is concerned with the following focusing biharmonic HLS upper critical Hartree equation with a local perturbation $$ \begin{cases} Δ^2u-λu-μ|u|^{p-2}u-(I_α*|u|^{4^*_α})|u|^{4^*_α-2}u=0\ \ \mbox{in}\ \mathbb{R}^N, \\[0.1cm] \int_{\mathbb{R}^N} u^2 dx = c, \end{cases} $$ where $0<α0$, $2+\frac{8}{N}=:\bar{p}\leq p<4^*:=\frac{2N}{N-4}$, $4^*_α:=\frac{N+α}{N-4}$, $λ\in \mathbb{R}$ is a Lagrange multiplier and $I_α$ is th…