Tootfinder

Judicious Partitions in Edge-Weighted Graphs with Bounded Maximum Weighted Degree
G. Gutin, M. A. Nielsen, A. Yeo, Y. Zhou
https://arxiv.org/abs/2507.05827

Judicious Partitions in Edge-Weighted Graphs with Bounded Maximum Weighted Degree
In this paper, we investigate bounds for the following judicious $k$-partitioning problem: Given an edge-weighted graph $G$, find a $k$-partition $(V_1,V_2,\dots ,V_k)$ of $V(G)$ such that the total weight of edges in the heaviest induced subgraph, $\max_{i=1}^k w(G[V_i])$, is minimized. In our bounds, we also take into account the weight $w(V_1,V_2,\dots,V_k)$ of the cut induced by the partition (i.e., the total weight of edges with endpoints in different parts) and show the existence of a par…

Moir\'e-assisted charge instability in ultrathin RuO$_2$
Philipp Ke{\ss}ler, Andreas Feuerpfeil, Armando Consiglio, Hendrik Hohmann, Ronny Thomale, Jonas Erhardt, Bing Liu, Vedran Jovic, Ralph Claessen, Patrick H\"artl, Matteo D\"urrnagel, Simon Moser
https://arxiv.org/abs/2507.05047

Moiré-assisted charge instability in ultrathin RuO$_2$
Ruthenium dioxide (RuO$_2$) has been in the focus of contemporary condensed matter research as a prototypical candidate material for altermagnetism. In the face of daunting evidence for bulk magnetic order despite promising theoretical predictions, it naturally suggests the focus on thin films where Coulomb interactions are dimensionally quenched and may yield a more strongly correlated environment prone to magnetic ordering. Here, we combine scanning tunneling microscopy (STM), density functio…

Filing: Anthropic will pay $1.5B to resolve an authors' copyright lawsuit over the company's downloading of millions of pirated books (Bloomberg)
https://www.bloomberg.com/news/articles/2025-09-05/anthropic-to-pay-1-5-…

Filing: Anthropic will pay $1.5B to resolve an authors' copyright lawsuit over the company's downloading of millions of pirated books (Bloomberg)
https://www.bloomberg.com/news/articles/2025-09-05/anthropic-to-pay-1-5-…

Dieter Bohlen hat Angst, Angst davor, seine Steuern zu zahlen.
"Es ist eben blöd, wenn du 45 Jahre wie ein Galeerensträfling gearbeitet hast und man muss dann Angst haben davor, dass das dann einem irgendwelche Irren wegnehmen"
Dieter Bohlen ist der Prototyp eines [xyz]...

CBP Confirms It Is Flying Predator Drones Above Los Angeles To Support ICE (Joseph Cox/404 Media)
https://www.404media.co/cbp-confirms-it-is-flying-predator-drones-above-los-angeles-to-support-ice/
http://www.memeorandum.com/250611/p134#a250611p134

CBP Confirms It Is Flying Predator Drones Above Los Angeles To Support ICE https://www.404media.co/cbp-confirms-it-is-flying-predator-drones-above-los-angeles-to-support-ice/

Prototyping of 6.2-mm-Pitch Fiber Positioner Modules for Stage-V Telescope Instrumentation
Malak Galal, Maxime Rombach, Jonathan Wei, Ricardo Ara\'ujo, Diane Chapuis, S\'ebastien Pernecker, Abby Bault, Joseph Harry Silber, Nicholas Wenner, William Van Shourt, Stefane Caseiro, Corentin Magnenat, David Schlegel, Jean-Paul Kneib
https://

Prototyping of 6.2-mm-Pitch Fiber Positioner Modules for Stage-V Telescope Instrumentation
Small-pitch populated focal planes are a critical enabling technology for the next generation of highly multiplexed astronomical instruments. This work reports on ongoing prototyping activities for 6.2 mm-pitch alpha-beta (theta-phi) fiber positioner modules. Following a concise review of the underlying concept, the performance of trillium-based and independently actuated robotic designs is compared. Key operational parameters including XY positioning repeatability, non-linearity, backlash, and…

Local H\"older Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights
Juan Pablo Alcon Apaza
https://arxiv.org/abs/2507.01899

Local Hölder Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights
We establish local boundedness and local Hölder continuity of weak solutions to the following prototype problem: $$ -\operatorname{div}\left(|x|^{-2 β}|\nabla u|^{\mathbf{q}-2} \nabla u\right)+(-Δ)_{p(\cdot, \cdot), β}^{s(\cdot, \cdot)} u=0 \quad \text { in } \quad Ω, $$ where $Ω\subset \mathbb{R}^n, n \geq 2$, is a bounded domain. The nonlocal operator is defined by $$ (-Δ)_{p(\cdot, \cdot), β}^{s(\cdot, \cdot)} u(x):=\mathrm{P} . \mathrm{V} . \int_Ω \frac{&#…

100,000 Crab giant pulses at 215 MHz detected with an SKA-Low prototype station
M. Sokolowski, P. Kumar, S. Dhavali, B. W. Meyers, N. D. R. Bhat, A. Bera, S. McSweeney
https://arxiv.org/abs/2506.07422

100,000 Crab giant pulses at 215 MHz detected with an SKA-Low prototype station
We report detection and analysis of the largest low-frequency (200 - 231.25 MHz) sample of Crab giant pulses (GPs) reported in the literature. In total about 95000 GPs were detected. The observations were performed in 2024/2025 with the EDA2, a prototype station of the SKA-Low telescope. The fluence distribution of GPs in the entire sample is very well characterised with a single power law (no flattening at higher fluences) N(F) $\propto$ F$^α$, where $α= -3.17\pm0.02$ for all GPs, and $α_{M…