Tootfinder

Elon Musk’s team of Texas lobbyists during the 2025 legislative session did not rival those of huge energy and telecommunications companies,
which typically employ dozens of people to represent them.
⭐️But Musk and his companies still hired more lobbyists this year than any other since 2021, according to data from the Texas Ethics Commission.
❌Musk, the billionaire businessman behind carmaker Tesla and aerospace company SpaceX, influenced several new Texas laws this year. …

Elon Musk Hired a Dozen Texas Lobbyists This Year. State Law Keeps the Extent of Their Influence Under Wraps.
Musk, the billionaire businessman behind Tesla and SpaceX, influenced several new Texas laws this year. How his lobbyists came about these wins, however, is more of a mystery.

Pretty great to see this (via @…)
Seems like #Linux has seen some significant (300%) growth since 2021. In that time, I've gone from using just #Windows

'Mac's capable of being a starter': Mac Jones being coached hard by 49ers in attempt to revive career https://www.espn.com/nfl/story/_/id/45591949/qb-mac-jones-49ers-attempt-revive-career-2021-nfl-draft

All-sky search for individual Primordial Black Hole bursts with LHAASO
Cao, Aharonian, Bai, Bao, Bastieri, Bi, Bi, Bian, Bukevich, Cai, Cao, Cao, Chang, Chang, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Chen, Cheng, Cheng, Chu, Cui, Cui, Cui, Cui, Dai, Dai, Dai, , Diao, Dong, Duan, Fan, Fan, Fang, Fang, Fang, Feng, Feng, Feng, Feng, Feng, Feng, Feng, Gabici, Gao, Gao, Gao, Gao, Gao, Ge, Ge, Geng, Giacinti, Gong, Gou, Gu, Guo, Guo, Guo, Guo…

All-sky search for individual Primordial Black Hole bursts with LHAASO
Primordial Black Holes~(PBHs) are hypothetical black holes with a wide range of masses that formed in the early universe. As a result, they may play an important cosmological role and provide a unique probe of the early universe. A PBH with an initial mass of approximately $10^{15}$~g is expected to explode today in a final burst of Hawking radiation. In this work, we conduct an all-sky search for individual PBH burst events using the data collected from March 2021 to July 2024 by the Water Che…

On the rate of convergence for Landau type Schr\"odinger Operators
Yucheng Pan, Wenchang Sun
https://arxiv.org/abs/2505.24568 https://

On the rate of convergence for Landau type Schrödinger Operators
We study the pointwise convergence of Landau type Schrödinger operators within the fractional Sobolev space $W^{s,p}(\mathbb R)$. Our results extend those established by Bailey (Rev. Mat. Iberoam., 29 (2): 531-546, 2013) and Yuan, Zhao and Zheng (Nonlinear Anal., 208: Paper No. 112312, 28, 2021). Furthermore, we also analyze the convergence rate of Landau type Schrödinger operators along curves and derive a sharp result for the case of convergence along vertical lines.

Complementary Time-Space Tradeoff for Self-Stabilizing Leader Election: Polynomial States Meet Sublinear Time
Yuichi Sudo
https://arxiv.org/abs/2505.23649 …

Complementary Time-Space Tradeoff for Self-Stabilizing Leader Election: Polynomial States Meet Sublinear Time
We study the self-stabilizing leader election (SS-LE) problem in the population protocol model, assuming exact knowledge of the population size $n$. Burman, Chen, Chen, Doty, Nowak, Severson, and Xu (PODC 2021) showed that this problem can be solved in $O(n)$ expected time with $O(n)$ states. Recently, Gąsieniec, Grodzicki, and Stachowiak (PODC 2025) proved that $n+O(\log n)$ states suffice to achieve $O(n \log n)$ time both in expectation and with high probability (w.h.p.). If substantially m…

Unveiling the Complex Jet Dynamics in the Blazar 2021 317 through Multi-Epoch VLBI Observations
Haitian Shang, Wei Zhao, Xiaoyu Hong, Leonid I. Gurvits, Ailing Zeng, Tao An, Xiaopeng Cheng
https://arxiv.org/abs/2505.23082

Unveiling the Complex Jet Dynamics in the Blazar 2021+317 through Multi-Epoch VLBI Observations
We present an investigation of the compact structure of the AGN 2021+317 based on multi-epoch Very Long Baseline Interferometry (VLBI) observations at 15, 22, and 43 GHz in the period from 2013 through 2024. The VLBI images show a core-jet structure extended to the south, with two stationary components in the northern region, one of which likely to be the core of the source. We also detected two new moving jet components (S4 and S5) in the observations of 2021. Based on these observational find…