Tootfinder

🇺🇦 #NowPlaying on BBCRadio3's #EarlierWithJoolsHolland
John Parry, Bryn Terfel, The Black Mountain Male Chorus, Risca Male Choir & Gareth Jones:
🎵 Myfanwy
#JohnParry #BrynTerfel #TheBlackMountainMaleChorus #RiscaMaleChoir #GarethJones

Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
Diogo Andrade, Julia Bierent, Jennifer Brown, Tudor Caba, Matthew Cellot, Jonathan Davies, Adrien DeLazzer Meunier, Jannik Gr\"one, Benjamin Ha\"ioun, Alea Hofstetter, Theo Johnson-Freyd, David Jordan, Tessa Kammermeier, Patrick Kinnear, Cameron Krulewski, Theodoros Lagiotis, Leon Liu, Adri\`a Mar\'in Salvador, Nivedita, David Reutter, Lorenzo Riva, Iordanis Romaidis, Ja…

Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of braided fusion categories (arXiv:2105.15167). They recount the mathematical arguments of the original paper from an expository angle, with background material covering the algebra and homotopy theory required to understand the statement and follow the proof. The notes are aimed at newcomers to the field of (braided) …

Autonomous AI-based Cybersecurity Framework for Critical Infrastructure: Real-Time Threat Mitigation
Jenifer Paulraj, Brindha Raghuraman, Nagarani Gopalakrishnan, Yazan Otoum
https://arxiv.org/abs/2507.07416

Autonomous AI-based Cybersecurity Framework for Critical Infrastructure: Real-Time Threat Mitigation
Critical infrastructure systems, including energy grids, healthcare facilities, transportation networks, and water distribution systems, are pivotal to societal stability and economic resilience. However, the increasing interconnectivity of these systems exposes them to various cyber threats, including ransomware, Denial-of-Service (DoS) attacks, and Advanced Persistent Threats (APTs). This paper examines cybersecurity vulnerabilities in critical infrastructure, highlighting the threat landscap…

Astrometric Accelerations of Provisional Targets for the Habitable Worlds Observatory
Katie E. Painter, Brendan P. Bowler, Kyle Franson, Juliette C. Becker, Jennifer A. Burt
https://arxiv.org/abs/2506.21768

Astrometric Accelerations of Provisional Targets for the Habitable Worlds Observatory
NASA's Habitable Worlds Observatory (HWO) will be the first space telescope capable of directly imaging Earth-like planets in the habitable zones of Sun-like stars to probe their atmospheres for signs of life. Now in its early stages of design, a list of the 164 most promising targets for HWO has been released to the community to carry out precursor science. Massive companions in these systems--stars, brown dwarfs, or giant planets--could preclude the existence of Earth-sized planets in the hab…

🇺🇦 #NowPlaying on #BBC6Music's #RileyAndCoe
Johnny Burnette and the Rock ’n’ Roll Trio:
🎵 The Train Kept A Rollin
#JohnnyBurnetteandtheRocknRollTrio
https://famousflames.bandcamp.com/track/the-train-kept-a-rollin
https://open.spotify.com/track/7s8spWIA65WP6vG18bXDP1

Strong convergence to operator-valued semicirculars
David Jekel, Yoonkyeong Lee, Brent Nelson, Jennifer Pi
https://arxiv.org/abs/2506.19940 https://…

Strong convergence to operator-valued semicirculars
We establish a framework for weak and strong convergence of matrix models to operator-valued semicircular systems parametrized by operator-valued covariance matrices $η= (η_{i,j})_{i,j \in I}$. Non-commutative polynomials are replaced by covariance polynomials that can involve iterated applications of $η_{i,j}$, leading to the notion of covariance laws. We give sufficient conditions for weak and strong convergence of general Gaussian random matrices and deterministic matrices to a $B$-valued…