Tootfinder

Polynomials and asymptotic constants in a resurgent problem from 't Hooft
David Broadhurst
https://arxiv.org/abs/2509.26297 https://arxiv.org/pdf/2509.…

Polynomials and asymptotic constants in a resurgent problem from 't Hooft
In a recent study of the quantum theory of harmonic oscillators, Gerard 't Hooft proposed the following problem: given $G(z)=\sum_{n>0}\sqrt{n}z^n$ for $|z|<1$, find its analytic continuation for $|z|\ge1$, excluding a branch-cut $z\in[1,\,\infty)$. A solution is provided by the bilateral convergent sum $G(z)=\frac12\sqrtπ\sum_{n\in{\mathbb Z}}(2nπ{\rm i}-\log(z))^{-3/2}$. On the negative real axis, $G(-e^u)$ has a sign-constant asymptotic expansion in $1/u^2$, for large p…

📳 Physicists solve 90-year-old puzzle of quantum damped harmonic oscillators
#physics

Physicists solve 90-year-old puzzle of quantum damped harmonic oscillators
A plucked guitar string can vibrate for seconds before falling silent. A playground swing, emptied of its passenger, will gradually come to rest. These are what physicists call "damped harmonic oscillators" and are well understood in terms of Newton's laws of motion.

Form uniqueness for graphs with weakly spherically symmetric ends
Luis Hernandez, Sean Ku, Jun Masamune, Genevieve Romanelli, Rados{\l}aw K. Wojciechowski
https://arxiv.org/abs/2509.22967

Form uniqueness for graphs with weakly spherically symmetric ends
We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs.

Challenge accepted: A reader wrote a program to find fake references in books https://retractionwatch.com/2025/10/28/challenge-accepted-a-reader-wrote-a-program-to-find-fake-references-in-books/

Challenge accepted: A reader wrote a program to find fake references in books
Hermann/Pixabay Following our coverage this summer of a book with citations that did not exist, we asked you to send us examples of other books with similar issues. One reader took the request as a…

Trans athlete’s mom gives powerful speech following match boycott: ‘My daughter is not the problem’
https://www.thepinknews.com/2025/08/25/mother-of-ab-hernandez-speaks-out/

PhishLumos: An Adaptive Multi-Agent System for Proactive Phishing Campaign Mitigation
Daiki Chiba, Hiroki Nakano, Takashi Koide
https://arxiv.org/abs/2509.21772 https://

PhishLumos: An Adaptive Multi-Agent System for Proactive Phishing Campaign Mitigation
Phishing attacks are a significant societal threat, disproportionately harming vulnerable populations and eroding trust in essential digital services. Current defenses are often reactive, failing against modern evasive tactics like cloaking that conceal malicious content. To address this, we introduce PhishLumos, an adaptive multi-agent system that proactively mitigates entire attack campaigns. It confronts a core cybersecurity imbalance: attackers can easily scale operations, while defense rem…

Steelers anticipate DT Harmon debuting vs. Pats https://www.espn.com/nfl/story/_/id/46315757/steelers-derrick-harmon-back-full-practice-play-vs-pats

"Growing cocktail of medicines in world’s waterways could be fuelling antibiotic resistance"
#Water #Pollution #Environment

Growing cocktail of medicines in world’s waterways could be fuelling antibiotic resistance
Every flush sends traces of our medicines into rivers. When antibiotics mix with common drugs like painkillers or hormones, bacteria can evolve to resist treatment.

'We need the rookies to do everything they can': WR Troy Franklin on the rookies in Week 8 https://www.denverbroncos.com/video/we-need-the-rookies-to-do-everything-they-can-wr-troy-franklin-on-the-rookies-in-week-8…

Testing a Computed Tomography Imaging Spectrometer for Earth Observations on the HEIMDAL Stratospheric Balloon Mission
Mads Juul Ahleb{\ae}k, Albertino Antonio Almeida Bach, Loui Collin-Enoch, Christian Cordes, Boas Hermansson, Christian Hald Jessen, S{\o}ren Peter J{\o}rgensen, Tobias J{\o}rgensen, Viktor Ulrich Kanstrup, Laurits Tv{\ae}rmose Nielsen, Jes Enok Steinm\"uller, Mads Svanborg Peters, Jonathan Merrison, Ren\'e Lynge Eriksen, Christoffer Karoff, Mads Toudal Frandse…

Testing a Computed Tomography Imaging Spectrometer for Earth Observations on the HEIMDAL Stratospheric Balloon Mission
Stratospheric High Altitude Balloons (HABs) have great potential as a remote sensing platform for Earth Observations that complements orbiting satellites and low flying drones. At altitudes between 20-35 kms, HABs operate significantly closer to ground than orbiting satellites, but significantly higher than most drones. HABs therefore offer a unique potential to deliver high spatial resolution imaging with large area coverage. Another two imaging parameters that are important for Earth Observat…