Tootfinder

The FCC updates its site to remove the phrase "independent agency", after Brendan Carr said in a Congressional hearing it is not independent "formally speaking" (Sara Fischer/@sarafischer)
https://x.com/sarafischer/status/2001338675607769120

Sara Fischer (@sarafischer) on X
🚨🚨 This is INSANE. I took this screenshot of the @FCC website at 11:52 a.m. ET where it explicitly states the FCC is an independent agency. 25 minutes later, it has been removed following Carr's comments during this hearing! See before and after screenshots below

Deformation quantisation of exact shifted symplectic structures, with an application to vanishing cycles
J. P. Pridham
https://arxiv.org/abs/2511.07602 https://arxiv.org/pdf/2511.07602 https://arxiv.org/html/2511.07602
arXiv:2511.07602v1 Announce Type: new
Abstract: We extend the author's and CPTVV's correspondence between shifted symplectic and Poisson structures to establish a correspondence between exact shifted symplectic structures and non-degenerate shifted Poisson structures with formal derivation, a concept generalising constructions by De Wilde and Lecomte. Our formulation is sufficiently general to encompass derived algebraic, analytic and $\mathcal{C}^{\infty}$ stacks, as well as Lagrangians and non-commutative generalisations. We also show that non-degenerate shifted Poisson structures with formal derivation carry unique self-dual deformation quantisations in any setting where the latter can be formulated.
One application is that for (not necessarily exact) $0$-shifted symplectic structures in analytic and $\mathcal{C}^{\infty}$ settings, it follows that the author's earlier parametrisations of quantisations are in fact independent of any choice of associator, and generalise Fedosov's parametrisation of quantisations for classical manifolds.
Our main application is to complex $(-1)$-shifted symplectic structures, showing that our unique quantisation of the canonical exact structure, a sheaf of twisted $BD_0$-algebras with derivation, gives rise to BBDJS's perverse sheaf of vanishing cycles, equipped with its monodromy operator.
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Prime Implicant Explanations for Reaction Feasibility Prediction
Klaus Weinbauer, Tieu-Long Phan, Peter F. Stadler, Thomas G\"artner, Sagar Malhotra
https://arxiv.org/abs/2510.09226

Prime Implicant Explanations for Reaction Feasibility Prediction
Machine learning models that predict the feasibility of chemical reactions have become central to automated synthesis planning. Despite their predictive success, these models often lack transparency and interpretability. We introduce a novel formulation of prime implicant explanations--also known as minimally sufficient reasons--tailored to this domain, and propose an algorithm for computing such explanations in small-scale reaction prediction tasks. Preliminary experiments demonstrate that our…

Series D, Episode 05 - Animals
CAPTAIN: There is certainly nothing down here about the work they were doing.
SERVALAN: And there won't be anything anywhere else, but they were there on Bucol Two towards the end of the war and they spent twenty million credits on whatever it was.
https://blake.torpidity.net/m/405/113…

Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces
Elisa Davoli, Giovanni Di Fratta, Rossella Giorgio, Andrea Pinamonti
https://arxiv.org/abs/2509.23226

Necessary and Sufficient Conditions for the Maz'ya-Shaposhnikova Formula in (Fractional) Sobolev Spaces
We investigate the asymptotic behavior, as $\varepsilon \to 0$, of nonlocal functionals $$ \mathcal{F}_{\varepsilon}(u) = \iint_{\mathbb{R}^N\times\mathbb{R}^N} ρ_{\varepsilon}(y-x)\,|u(x)-u(y)|^p\,dx\,dy,\qquad u\in L^p(\mathbb{R}^N),\quad 1\leqslant p<\infty, $$ associated with a general family of nonnegative measurable kernels $\{ρ_{\varepsilon}\}_{\varepsilon>0}$. Our primary aim is to single out the weakest moment-type assumptions on the family $\{ρ_{\varepsilon}\}_{\varepsi…

A bad week has gotten even worse for Pete Hegseth,
as a new watchdog report from the Pentagon inspector general’s office finds that the defense secretary directly endangered U.S. troops
when he used the Signal messaging app to discuss sensitive plans to bomb the Houthi rebels in Yemen back in March. 
Sources told CNN that the classified report details Hegseth’s lack of urgency and seriousness
in speaking freely on the public messaging app about active U.S. war plans, u…

Watchdog Exposes How Hegseth Endangered Troops’ Lives in Signalgate
Defense Secretary Pete Hegseth risked troops’ lives with his Signal messages, the Pentagon inspector general’s office has formally concluded.

Node polynomials for curves on surfaces
Thomas Dedieu
https://arxiv.org/abs/2510.06839 https://arxiv.org/pdf/2510.06839

Node polynomials for curves on surfaces
This text is a presentation of a set of formulae, first found by Vainsencher (for $δ\leq 6$) and shortly after improved by Kleiman and Piene, counting $δ$-nodal curves in a complete linear system on a smooth surface, if $δ\leq 8$ and the corresponding line bundle is sufficiently positive. We also discuss a complement by Qviller, and related results due to Kazarian, Ohmoto, and others.

On the ternary Estermann problem with almost proportional summands
Firuz Rakhmonov
https://arxiv.org/abs/2510.05602 https://arxiv.org/pdf/2510.05602…

On the ternary Estermann problem with almost proportional summands
For $n \geq 3$, an asymptotic formula is derived for the number of representations of a sufficiently large natural number $N$ in the form $p_1+p_2+m^n=N$, where $p_1$, $p_2$ $-$ prime numbers, $m$ $-$ natural number satisfying the conditions $$ \left|p_k-μ_kN\right|\le H, \quad k=1,2,\qquad \left|m^n-μ_3N\right|\le H,\qquad H \ge N^{1-\frac1{n(n-1)}} {\mathscr{L}}^{\frac{2^{n+1}}{n-1}+n-1},$$ for $μ_1+μ_2+μ_3=1, \ \ μ_i >0, \mathscr{L} = \ln{N}. $ Keywords: Estermann…

A Coalgebraic Model of Quantum Bisimulation
Lorenzo Ceragioli (IMT School for Advanced Studies, Lucca, Italy), Elena Di Lavore (University of Pisa, Italy), Giuseppe Lomurno (University of Pisa, Italy), Gabriele Tedeschi (University of Pisa, Italy)
https://arxiv.org/abs/2509.20933

A Coalgebraic Model of Quantum Bisimulation
Recent works have shown that defining a behavioural equivalence that matches the observational properties of a quantum-capable, concurrent, non-deterministic system is a surprisingly difficult task. We explore coalgebras over distributions taking weights from a generic effect algebra, which subsumes probabilities and quantum effects, a physical formalism that represents the probabilistic behaviour of an open quantum system. To abide by the properties of quantum theory, we introduce monads grade…

A two-point phase recovering from holographic data on a single plane
Roman Novikov, Vladimir Sivkin
https://arxiv.org/abs/2509.22048 https://arxiv.org/pdf/…

A two-point phase recovering from holographic data on a single plane
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in $\mathbb{R}^d,$ $d\geq 2$. In this region, we consider a hyperplane $X$ with sufficiently large distance $s$ from the origin in ${\mathbb R}^d.$ We give two-point local formulas for approximate recovering the radiation solution restricted to the plane $X$ from the intensity of the total solution at $X$, that is, from holographic data. The recovering…