Tootfinder

"Palestine Action is not arming the genocide and Israel — that’s Keir Starmer and the British government, who should be proscribed,”
'A clear example of political censorship' | Morning Star
https://morningstaronline.co.uk/article/clear-e…

Trump signs an EO ending the de minimis exemption for packages worth $800 or less from all countries, after shuttering the loophole for goods from China in May (Annie Palmer/CNBC)
https://www.cnbc.com/2025/07/30/trump-de-minimis-shipping.html

Trump ends de minimis exemption for global low-cost goods
President Donald Trump signed an executive order ending the de minimis trade loophole for low-value packages shipped from all countries.

A note on the first Steklov eigenvalue on planar domains
Azahara DelaTorre, Gabriele Mancini, Angela Pistoia, Luigi Provenzano
https://arxiv.org/abs/2507.23312 https://

A note on the first Steklov eigenvalue on planar domains
We consider the first positive Steklov eigenvalue on planar domains. First, we provide an example of a planar domain for which a first eigenfunction has a closed nodal line. Second, we establish a lower bound for the first positive eigenvalue on certain symmetric domains and show that this eigenvalue is simple for all ellipses. These results complement two statements contained in a work by Kuttler and Sigillito (Proc. Amer. Math. Soc. 20, 1969).

Path integral analysis of Schr\"odinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states
Bj\"orn Garbrecht, Nils Wagner
https://arxiv.org/abs/2507.23125

Path integral analysis of Schrödinger-type eigenvalue problems in the complex plane: Establishing the relation between instantons and resonant states
Schrödinger-type eigenvalue problems are ubiquitous in theoretical physics, with quantum-mechanical applications typically confined to cases for which the eigenfunctions are required to be normalizable on the real axis. However, seeking the spectrum of resonant states for metastable potentials or comprehending $\mathcal{PT}$-symmetric scenarios requires the broader study of eigenvalue problems for which the boundary conditions are provided in specific angular sectors of the complex plane. We g…

$p$-eigenvalue pinching sphere theorems
Paulo Henryque C. Silva
https://arxiv.org/abs/2506.22962 https://arxiv.org/pdf/2506.22962

$p$-eigenvalue pinching sphere theorems
In this paper, we establish two $p$-eigenvalue pinching sphere theorems, for the \( p \)-Laplacian, $p>1$. One of the results states that if the first non-zero $p$-eigenvalue of a closed Riemannian $n$-manifold with sectional curvature $K_{M}\geq 1$ is sufficiently close to the first non-zero $p$-eigenvalue of $\mathbb{S}^{n}$ then $M$ is homeomorphic to $\mathbb{S}^{n}$. Our results extend sphere theorems originally settled for the Laplacian by Croke and Bessa.

Tomorrow, we will dive deeper into ontologies with OWL, the Web Ontology Language. However, I'm doing OWL-lectures now for almost 20 years - and OWL as well as the lecture haven't changed much. So, I'm afraid I'm going to surprise/dissapoint the students tomorrow, when I will switch off the presentation and start improvising a random OWL ontology with them on the blackboard ;-)
#ise2025

🇺🇦 #NowPlaying on BBCRadio3's #WordsAndMusic
Cat Stevens & Cat Stevens:
🎵 Tea for the Tillerman
#CatStevens
https://open.spotify.com/track/7EKJgnFmhpVlYsATirdr4G

🇺🇦 #NowPlaying on KEXP's #AstralPlane
Stereolab:
🎵 Esemplastic Creeping Eruption
#Stereolab
https://stereolab.bandcamp.com/track/esemplastic-creeping-eruption
https://open.spotify.com/track/4VMLSOGGtJZooVRPSkQKsg

Eigenvalue statistics for random polymer models: Localization and delocalization
Peter D. Hislop, Fumihiko Nakano
https://arxiv.org/abs/2508.21215 https://…

Eigenvalue statistics for random polymer models: Localization and delocalization
We study the local eigenvalue statistics (LES) associated with one-dimensional lattice models of random polymers. We consider models constructed from two polymers. Each polymer is a finite interval of lattice points with a finite potential. These polymers are distributed along $\mathbb{Z}$ according to a Bernoulli distribution. The deterministic spectrum for these models is dense pure point, and is known to contain finitely-many critical energies. In this paper, we prove that the LES centered a…

Summarize-Exemplify-Reflect: Data-driven Insight Distillation Empowers LLMs for Few-shot Tabular Classification
Yifei Yuan, Jiatong Li, Weijia Zhang, Mohammad Aliannejadi, Evangelos Kanoulas, Renjun Hu
https://arxiv.org/abs/2508.21561

Summarize-Exemplify-Reflect: Data-driven Insight Distillation Empowers LLMs for Few-shot Tabular Classification
Recent studies show the promise of large language models (LLMs) for few-shot tabular classification but highlight challenges due to the variability in structured data. To address this, we propose distilling data into actionable insights to enable robust and effective classification by LLMs. Drawing inspiration from human learning processes, we introduce InsightTab, an insight distillation framework guided by principles of divide-and-conquer, easy-first, and reflective learning. Our approach int…