Tootfinder

Join the 2025 Maine AI 'unconference' on June 13 in Orono for face-to-face discussions whose topics will be democratically chosen by the attenders. (We've got expert panels too.) Register by this Friday—more at https://www.linkedin.com/posts/jonippolito

This https://arxiv.org/abs/2407.01203 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An elementary proof of a criterion for subfunctors of Ext to be closed
Let $\mathcal{A}$ be an abelian category and let $F$ be a subbifunctor of the additive bifunctor $\text{Ext}_{\mathcal{A}}^{1}(-,-)\colon \mathcal{A}^{\text{op}}\times \mathcal{A}\to \mathsf{Ab}$. Buan proved in [4] that $F$ is closed if, and only if, $F$ has the $3\times 3$-lemma property, a certain diagrammatic property satisfied by the class of $F$-exact sequences. The proof of this result relies on the theory of exact categories and on the Freyd--Mitchell embedding theorem, a very well-know…

This https://arxiv.org/abs/2411.16855 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Analytic Solution for the Motion of Spinning Particles in Kerr Space-Time
The equations of motion of massive test particles near Kerr black holes are separable in Boyer-Lindquist coordinates, as established by Carter. This separability, however, is lost when the particles are endowed with classical spin. We show that separability of the equations of motion can be recovered to linear order in spin by a shift of the worldline derived with the use of the hidden symmetry of Kerr space-time. Consequently, the closed-form solution of the motion is expressed in a way closel…

Learning collective variables that preserve transition rates
Shashank Sule, Arnav Mehta, Maria K. Cameron
https://arxiv.org/abs/2506.01222 https://

Learning collective variables that preserve transition rates
Collective variables (CVs) play a crucial role in capturing rare events in high-dimensional systems, motivating the continual search for principled approaches to their design. In this work, we revisit the framework of quantitative coarse graining and identify the orthogonality condition from Legoll and Lelievre (2010) as a key criterion for constructing CVs that accurately preserve the statistical properties of the original process. We establish that satisfaction of the orthogonality condition …

A Topological Semantics of Dialogue: Nerve Structures and Logical Extraction
Andreu Ballus Santacana
https://arxiv.org/abs/2506.00615 https://

A Topological Semantics of Dialogue: Nerve Structures and Logical Extraction
We introduce a concise, topologically-motivated semantics for finite dialogues by mapping each utterance to an open set in a fixed semantic space, building the corresponding nerve complex of joint satisfiability, and extracting fundamental combinatorial invariants: 1. The negative nerve, which enumerates all finite collections of utterances whose opens have empty intersection, providing a straightforward criterion for merging separate transcripts without contradiction. 2. The global int…

Search for Magnetic Monopoles with the Complete ANTARES Dataset
A. Albert, S. Alves, M. Andr\'e, M. Ardid, S. Ardid, J. -J. Aubert, J. Aublin, B. Baret, S. Basa, Y. Becherini, B. Belhorma, F. Benfenati, V. Bertin, S. Biagi, J. Boumaaza, M. Bouta, M. C. Bouwhuis, H. Branzas, R. Bruijn, J. Brunner, J. Busto, B. Caiffi, D. Calvo, S. Campion, A. Capone, F. Carenini, J. Carr, V. Carretero, T. Cartraud, S. Celli, L. Cerisy, M. Chabab, R. Cherkaoui El Moursli, T. Chiarusi, M. Circella, J.…

Search for Magnetic Monopoles with the Complete ANTARES Dataset
This study presents a novel search for magnetic monopoles using data collected over a 14 year period (2008-2022) by the ANTARES neutrino telescope. The interaction of magnetic monopoles with matter was modeled according to Kazama, Yang, and Goldhaber cross-section. Upper limits on the flux of magnetic monopoles are obtained for velocities both above and below the Cherenkov threshold. No events consistent with the passage of magnetic monopoles were detected, enabling the setting of an upper flux…

YEARNING!
comic source: @…
#rats

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schr\"odinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann, Petr Siegl
https://arxiv.org/abs/2505.22321

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on the boundary parameters to induce closed operators with a nonempty resolvent set. The abstract results are applied to Schrödinger operators with complex $L^p$-potentials on bounded and unbounded Lipschitz domains with compact boundaries.

AI won’t save PDF from itself. PDFs are largely inaccessible, proprietary, and a nightmare for data extraction (ever tried copy-pasting a two-column doc?). Mistral’s new tool still struggles to convert them cleanly; imagine misreading a PDF drug chart and prescribing a 500mg overdose instead of 50mg. Science is about reusing knowledge, so it's high time we used formats that make it easy to extract data—rather than consign it to a tomb

I like how this new mall near my home closed one of it main halls/corridors to put shops.
They were like: " Those halls make people transit way to efficiently, lets close them off, put shops and trap more people inside the mall."