Tootfinder

M B U F – LA NOUVELLE LUNE N’Y CHANGERA RIEN
#ambient

Warped products over one-dimensional base spaces and the RCD condition
Christian Ketterer
https://arxiv.org/abs/2506.10809 https://ar…

Warped products over one-dimensional base spaces and the RCD condition
We prove the Riemannian curvature-dimension condition $\mathsf{RCD}(KN,N+1)$ for an $N$-warped product $B\times_f^N F$ over a one-dimensional base space $B$ with a Lipschitz function $f: B\rightarrow \mathbb R_{\geq 0}$, provided (1) $f$ is a $Kf$-concave function, (2) $f$ satisfies a sub-Neumann boundary condition $\frac{\partial f}{\partial n}\geq 0$ on $\partial B\backslash f^{-1}(0)$ and $F$ is a compact metric measure space satisfying (3) the condition $\mathsf{RCD}(K_F (N-1), N)$ with $K_…

Proof of a conjecture on isolation of graphs with a universal vertex
Peter Borg, Alastair Farrugia
https://arxiv.org/abs/2506.09290 https://

Proof of a conjecture on isolation of graphs with a universal vertex
A copy of a graph $F$ is called an $F$-copy. For any graph $G$, the $F$-isolation number of $G$, denoted by $ι(G,F)$, is the size of a smallest subset $D$ of the vertex set of $G$ such that the closed neighbourhood $N[D]$ of $D$ in $G$ intersects the vertex sets of the $F$-copies contained by $G$ (equivalently, $G-N[D]$ contains no $F$-copy). Thus, $ι(G,K_1)$ is the domination number $γ(G)$ of $G$, and $ι(G,K_2)$ is the vertex-edge domination number of $G$. Settling a conjecture of Zhang an…

$$$$$$$$$$$$**$$$$$$$$$**$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$" ^$$$$$$F *$$$$$$$$$$$$$$$$$$
$$$$$$$$$ z$$$$$$L ^$$$$$$$$$$$$$$$$$$
$$$$$$$$$ e$$$$$$$$$e J$$$$$$$$$$$$$$$$$$
$$$$$$$$$eee$$$$$$$$$$$$$e$$$$$$$$$$$$$$$$$$$
$$$$$$$$b$$$$$$$$$$$$$$$$$$*$$$$$$$$$$$$$$$$$
$$$$$$$)$$$$P"e^$$$F$r*$$$$F"$$$$$$$$$$$$$$$$
$$$$$$$d$$$$ "z$$$$" $$$$% $3$$$$$$$$$$$$$
$$$$*"""*$$$ .$$$$$$ z$$$* ^$e*$$$$$$$$$$$

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space
Hongbo Zeng
https://arxiv.org/abs/2506.10455 http…

Sensitivity and transitivity for the induced maps on symmetric product suspensions of a topological space
Given a nondegenerate compact perfect and Hausdorff topological space $X$,$n\in \mathbb{N}$ and a function $f:X\rightarrow X$, we consider the $n$-fold symmetric product of $X$, $F_n(X)$ and the induced function $F_n(f):F_n(X)\rightarrow F_n(X)$. If $n\geq2$, we consider the $n$-fold symmetric product suspension of $X$, $SF_n(X)$ and the induced function$SF_n(f):SF_n(X)\rightarrow SF_n(X)$. In this paper, we study the relationships between the following statements: (1) $f\in \mathcal{M}$,(2) $F…

How does new Titans QB Cam Ward plan to get ready for training camp? 'Throw the f--- out of the ball'

https://www.cbssports.com/nfl/news/how-doe…

Late time behavior in $f(R,\mathcal{L}_{m})$ gravity through Gaussian reconstruction and dynamical stability
Y. Kalpana Devi, S. A. Narawade, B. Mishra
https://arxiv.org/abs/2506.09568

Late time behavior in $f(R,\mathcal{L}_{m})$ gravity through Gaussian reconstruction and dynamical stability
In this paper, we explore modified gravity in the framework of $f(R, \mathcal{L}_m)$ theories by reconstructing the function $f(\mathcal{L}_m)$, where $\mathcal{L}_m = ρ$ is the matter Lagrangian, under the assumption of a pressureless, matter-dominated Universe. Using a non-parametric Gaussian process reconstruction technique applied to Hubble data, we obtain two viable models of $f(\mathcal{L}_m)$ : (i) a power-law model $f_1(\mathcal{L}_m) = α\mathcal{L}_m^{b_1}$ with $b_1 \in [0.018, 0.02…

Here you go a fork of @… know as @… is now on @… .

On lengths of modules over certain Artinian complete intersections
Tony J. Puthenpurakal
https://arxiv.org/abs/2506.10368 https://arx…

On lengths of modules over certain Artinian complete intersections
Let $(Q,\mathfrak{n})$ be a regular local ring of dimension $c \geq 2$ with algebraically closed residue field $k = Q/\mathfrak{n}$. Let $f_1, f_2, \ldots f_{c-1}, g$ be a regular sequence in $Q$ such that $ f_i \in \mathfrak{n}^2$ for all $i$ and $g \in \mathfrak{n}$. Set $A = Q/(f_1,\ldots, f_{c-1}, g^r)$ with $r \geq 2$. Notice $A$ is an Artinian complete intersection of codimension $c$. We show that there exists $α_A \in \mathbb{P}^{c-1}(k)$ such that there exists integer $m_A \geq 2…

Does the existence of $f_0$ meson enlarge the $K^ \to \pi^0\pi^0\pi^0 e^ \nu$ decay probability?
E. K. Karkaryan, V. F. Obraztsov, M. I. Vysotsky
https://arxiv.org/abs/2506.09179

Does the existence of $f_0$ meson enlarge the $K^+ \to π^0π^0π^0 e^+ ν$ decay probability?
We estimate a possible contribution of the two-pion system $f_0(500)$ wide resonance to the decay probability of the super rare decay $K^+ \to 3π^0 e^+ ν$. We vary the width of the resonance from 0.01 MeV to 1000 MeV. We found that the contribution of the narrow resonance in a system of several final state particles into the decay probability is proportional to its width. However it never exceeds the value of the decay probability calculated on free final state particles neglecting the resona…

Apparently, my heat tolerance is way lower than it was last summer (previously 94 F). Running 5 miles in 80 F weather today triggered a mild asthma attack (I always have my inhaler with me), and my heart rate hit 190. The high HR was probably a combination of the temperature outside, pushing too hard, and all the medications I'm on. Classic fuck around and find out 😖
I will be inside on the treadmill until it's low 70s from now on.
Looking forward to starting IgE inhibit…

A core-sensitive mixed $f$/$g$ mode of the Sun predicted by wave topology and hydrodynamical simulation
Arthur Le Saux, Armand Leclerc, Guillaume Laibe, Pierre Delplace, Antoine Venaille
https://arxiv.org/abs/2506.09572

A core-sensitive mixed $f$/$g$ mode of the Sun predicted by wave topology and hydrodynamical simulation
Helioseismology has revolutionized our understanding of the Sun by analyzing its global oscillation modes. However, the solar core remains elusive, limiting a full understanding of its evolution. In this work, we study a previously unnoticed global oscillation mode of the Sun using a fully compressible, hydrodynamical simulation of the solar interior, and assess that it is a mixed $f$/$g$ mode with a period of about one hour. This is the first global stellar hydrodynamics simulation that succes…

Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains
Leah Sch\"atzler, Christoph Scheven, Jarkko Siltakoski, Calvin Stanko
https://arxiv.org/abs/2506.09617

Existence of variational solutions to doubly nonlinear systems in general noncylindrical domains
We consider the Cauchy-Dirichlet problem to doubly nonlinear systems of the form \begin{align*} \partial_t \big( |u|^{q-1}u \big) - \operatorname{div} \big( D_ξf(x,u,Du) \big) = - D_u f(x,u,Du) \end{align*} with $q \in (0, \infty)$ in a bounded noncylindrical domain $E \subset \mathbb{R}^{n+1}$. Further, we suppose that $x \mapsto f(x,u,ξ)$ is integrable, that $(u,ξ) \mapsto f(x,u,ξ)$ is convex, and that $f$ satisfies a $p$-growth and -coercivity condition for some $p>\max \big\…

The $3$-sparsity of $X^n-1$ over finite fields
Kaimin Cheng
https://arxiv.org/abs/2507.06655 https://arxiv.org/pdf/2507.06655

The $3$-sparsity of $X^n-1$ over finite fields
Let $q$ be a prime power and $\mathbb{F}_q$ the finite field with $q$ elements. For a positive integer $n$, the binomial $f_n(X):= X^n-1\in\mathbb{F}_q[X]$ is called $3$-sparse over $\mathbb{F}_q$ if each irreducible factor of $f_n(X)$ over $\mathbb{F}_q$ is either a binomial or a trinomial. In 2021, Oliveira and Reis characterized all positive integers $n$ for which $f_n(X)$ is $3$-sparse over $\mathbb{F}_q$ when $q = 2$ and $q = 4$, and posed the open problem of whether, for any given $q$, th…

On saturation numbers of complete multipartite graphs and even cycles
Ali Mohammadian, Milad Poursoltani, Behruz Tayfeh-Rezaie
https://arxiv.org/abs/2506.09767

On saturation numbers of complete multipartite graphs and even cycles
Given positive integer $n$ and graph $F$, the saturation number $\mathrm{sat}(n, F)$ is the minimum number of edges in an edge-maximal $F$-free graph on $n$ vertices. In this paper, we determine asymptotic behavior of $\mathrm{sat}(n, F)$ when $F$ is either a complete multipartite graph or a cycle graph whose length is even and large enough. This extends a result by Bohman, Fonoberova, and Pikhurko from 2010 as well as partially resolves a conjecture of Füredi and Kim from 2013.

Thomason's colimit theorem for the double category of elements
Andrew Gill, Maru Sarazola
https://arxiv.org/abs/2506.08246 https://

Thomason's colimit theorem for the double category of elements
We show that, for any 2-category $C$ and 2-functor $F\colon C \to Cat$, the double category of elements $\iint_C F$ introduced by Grandis and Paré satisfies a version of Thomason's colimit theorem; that is, there is a weak homotopy equivalence $B hocolim F\simeq B(\iint_C F)$.

Three of the new advisers appointed by Health Secretary Robert F. Kennedy Jr. to guide the government on immunization policy
took part in lawsuits casting doubt on the safety or efficacy of vaccines,
public records show.
In dismissing all 17 members of an influential Centers for Disease Control and Prevention advisory panel on Monday,
Mr. Kennedy cited what he said was a history of conflicts of interest that he claimed made those experts a “rubber stamp” on approving …

Kennedy’s New Vaccine Advisers Helped Lawyers Raise Doubts About Their Safety
Three of the health secretary’s picks to replace fired members of an influential panel that sets U.S. vaccine policies have filed statements in court flagging concerns about vaccines.

Pump.fun raised $500M via a sale of PUMP tokens, which sold out in 12 minutes; it offered 12.5% of its total token supply at a fully diluted valuation of $4B (Zack Abrams/The Block)
https://www.theblock.co/post/362320/pump-fun-raise…

Canada : "Le coût estimé pour l’achat de 88 nouveaux F-35A auprès des États‑Unis a explosé de près de 50 % depuis 2022"
#F35 #défense

'Cut off the head' — Ukrainian intelligence accuses 'Putin's favorite' brigade of another war crime: https://benborges.xyz/2025/07/12/cut-off-the-head-ukrainian.html

Holography for QCD(Adj) and QCD(Adj) F
Anja Alfano, Nick Evans, Wanxiang Fan
https://arxiv.org/abs/2506.09456 https://arxiv.org/pdf/2…

Holography for QCD(Adj) and QCD(Adj)+F
We discuss confinement and chiral symmetry breaking in SU(Nc) gauge theories with fermions in the adjoint representation. There has been considerable work on studying these theories compactified on a small circle (with compactification scale 1/L large relative to the strong coupling scale of the theory). The weakly coupled IR theory of photons exhibits confinement through a density of magnetically charged instanton configurations. As the compactification scale 1/L approaches the strong coupling…

Listen: Jill Sobule’s F*CK7THGRADE Original Cast Recording Now Available
https://www.broadwayworld.com/off-broadway/article/Listen-Jill-Sobules-Fck-7th-Grade-Original-Cast-Recording-Now-Available-20…

F.T.C. May Put Unusual Condition on Ad Mega-Merger: No Boycotting (New York Times)
https://www.nytimes.com/2025/06/12/business/ftc-omnicom-interpublic-merger.html?unlocked_article_code=1.OU8.n6Rb.0DJnT0vuw02y&smid=nytcore-ios-share&referringSource=articleShare&sgrp=g
http://www.memeorandum.com/250612/p164#a250612p164

The most important thing I have to say about the Nintendo Switch 2 is: F-Zero GX BAYBEE

Für die Samstagsnachmittagscrew nochmal der Link auf meine SF-/F-Lektüre aus dem Juni 2025 ... das eine oder andere wäre vielleicht auch als Urlaubslektüre geeignet.
https://blog.till-westermayer.de/index.php/2025/07/08/science-fic…

Science Fiction und Fantasy im Juni (und z.T. Juli) 2025
Eigentlich hatte ich mir vorgenommen, mir noch weitere Texte für den Hugo anzugucken und einen etwas differenzierteren Stimmzettel abzugeben. Heruntergeladen habe ich das Hugo-Voting-Paket schon mal, und bis zur finalen Abstimmung am 23. Juli ist eigentlich auch noch etwas Zeit. We will see. Bei der

HP2C-DT: High-Precision High-Performance Computer-enabled Digital Twin
E. Iraola (Barcelona Supercomputing Center), M. Garc\'ia-Lorenzo (Barcelona Supercomputing Center), F. Lordan-Gomis (Barcelona Supercomputing Center), F. Rossi (CITCEA, Universitat Polit\`ecnica de Catalunya), E. Prieto-Araujo (CITCEA, Universitat Polit\`ecnica de Catalunya), R. M. Badia (Barcelona Supercomputing Center)

HP2C-DT: High-Precision High-Performance Computer-enabled Digital Twin
Digital twins are transforming the way we monitor, analyze, and control physical systems, but designing architectures that balance real-time responsiveness with heavy computational demands remains a challenge. Cloud-based solutions often struggle with latency and resource constraints, while edge-based approaches lack the processing power for complex simulations and data-driven optimizations. To address this problem, we propose the High-Precision High-Performance Computer-enabled Digital Twin …

A thorough study of Riemannian Newton's Method
Caio O. da Silva, Yuri A. Aoto, Felipe F. G. S. Costa, M\'arcio F. da Silva
https://arxiv.org/abs/2506.09297

A thorough study of Riemannian Newton's Method
This work presents a thorough numerical study of Riemannian Newton's Method (RNM) for optimization problems, with a focus on the Grassmannian and on the Stiefel manifold. We compare the Riemannian formulation of Newton's Method with its classical Euclidean counterpart based on Lagrange multipliers by applying both approaches to the important and challenging Hartree--Fock energy minimization problem from Quantum Chemistry. Experiments on a dataset of 125 molecules show that the Riemannian approa…

It's Saturday morning and I'm f****** around with a WordPress site. What the hell is wrong with me? 😂

Then They Came For The Head Start Kids, And We Said F*ck You, No Kid Is 'Illegal'
https://www.wonkette.com/p/then-they-came-for-the-head-start

Observation of a low energy nuclear recoil peak in the neutron calibration data of an Al$_{2}$O$_{3}$ crystal in CRESST-III
CRESST Collaboration, G. Angloher, S. Banik, A. Bento, A. Bertolini, R. Breier, C. Bucci, L. Burmeister, F. Casadei, E. Cipelli, J. Burkhart, L. Canonica, J. Dohm, F. Dominsky, S. Di Lorenzo, L. Einfalt, A. Erb, E. Fascione, F. v. Feilitzsch, S. Fichtinger, D. Fuchs, V. M. Ghete, P. Gorla, P. V. Guillaumon, D. Hauff, M. Je\v{s}kovsk\'y, J. Jochum, M. Kaznachee…

Observation of a low energy nuclear recoil peak in the neutron calibration data of an Al$_{2}$O$_{3}$ crystal in CRESST-III
The current generation of cryogenic solid state detectors used in direct dark matter and CE\textnu NS searches typically reach energy thresholds of $\mathcal{O}$(10)$\,$eV for nuclear recoils. For a reliable calibration in this energy regime a method has been proposed, providing mono-energetic nuclear recoils at low energies $\sim\,$100$\,$eV$\,$-$\,$1$\,$keV. In this work we report on the observation of a peak at (1113.6$^{+6.5}_{-6.5}$)$\,$eV in the data of an Al$_{2}$O$_{3}$ crystal in CRESS…

Bergzeit Family Day in den Bergzeit Filialen Outdoor und Alpin.
https://www.bergzeit.de/magazin/bergzeit-family-day-filialen/
19. Juli 2025 Challenge Rallye, Outdoor-Spaß und Aktionen in den Bergzeit Filialen.

Higher-order affine Sobolev inequalities
Tristan Bullion-Gauthier (ICJ, EDPA)
https://arxiv.org/abs/2506.10473 https://arxiv.org/pdf/…

Higher-order affine Sobolev inequalities
Zhang refined the classical Sobolev inequality $\|f\|_{L^{Np/(N-p)}} \lesssim \| \nabla f \|_{L^p}$, where $1\leq p \lt N$, by replacing $\|\nabla f\|_{L^p}$ with a smaller quantity invariant by unimodular affine transformations. The analogue result in homogeneous fractional Sobolev spaces $\mathring{W}^{s,p}$, with $0 \lt s \lt 1$ and $sp \lt N$, was obtained by Haddad and Ludwig. We generalize their results to the case where $s \gt 1$. Our approach, based on the …

I need help. What would a viking say if he is disappointed by the fact that there is no any good loot in a room on a raid.
Something like 'f**k' . Do you know any Nordic experts? #Viking #help

from my link log —
The crisis of zombie social science.
https://www.forkingpaths.co/p/the-crisis-of-zombie-social-science
saved 2025-04-04

The Crisis of Zombie Social Science
Why it's almost impossible to falsify social science theories and how to fix it.

3-dimensional charged black holes in $f({Q})$ gravity
G. G. L. Nashed, Emmanuel N. Saridakis
https://arxiv.org/abs/2506.10046 https://

3-dimensional charged black holes in $f({Q})$ gravity
We present new exact charged black hole solutions in (2+1) dimensions within the framework of $f({Q})$ gravity, where ${Q}$ denotes the non-metricity scalar. By considering a cubic $f({Q})$ form we derive classes of charged and uncharged spherically symmetric solutions, and we identify conditions under which these reduce to the well-known Banados-Teitelboim-Zanelli (BTZ) black hole. Notably, our analysis reveals a novel charged solution that is asymptotically Anti-de Sitter (AdS) but cannot be …

Testing Isomorphism of Boolean Functions over Finite Abelian Groups
Swarnalipa Datta, Arijit Ghosh, Chandrima Kayal, Manaswi Paraashar, Manmatha Roy
https://arxiv.org/abs/2507.07654

Testing Isomorphism of Boolean Functions over Finite Abelian Groups
Let $f$ and $g$ be Boolean functions over a finite Abelian group $\mathcal{G}$, where $g$ is fully known, and we have {\em query access} to $f$, that is, given any $x \in \mathcal{G}$ we can get the value $f(x)$. We study the tolerant isomorphism testing problem: given $ε\geq 0$ and $τ> 0$, we seek to determine, with minimal queries, whether there exists an automorphism $σ$ of $\mathcal{G}$ such that the fractional Hamming distance between $f \circ σ$ and $g$ is at most $ε$, or whether for…

MOSAIC-F: A Framework for Enhancing Students' Oral Presentation Skills through Personalized Feedback
Alvaro Becerra, Daniel Andres, Pablo Villegas, Roberto Daza, Ruth Cobos
https://arxiv.org/abs/2506.08634

MOSAIC-F: A Framework for Enhancing Students' Oral Presentation Skills through Personalized Feedback
In this article, we present a novel multimodal feedback framework called MOSAIC-F, an acronym for a data-driven Framework that integrates Multimodal Learning Analytics (MMLA), Observations, Sensors, Artificial Intelligence (AI), and Collaborative assessments for generating personalized feedback on student learning activities. This framework consists of four key steps. First, peers and professors' assessments are conducted through standardized rubrics (that include both quantitative and qualitat…

`locations.ups.com` highjacks cmd f. So, instead of searching the page for text, you automatically start chatting with their AI chatbot. 🙄

Nouvelle application sur #LaForgeEdu : FlashMD est un outil libre et gratuit qui permet la création de flashcards Š imprimer ou Š utiliser en ligne.
On crée les flashcards en Markdown : un titre 2 pour l'idée Š expliquer, la suite du contenu pour l'explication. C'est très rapide ! La mise en page est calculée automatiquement.
C'est une version simplifiée de CartesMD, mais avec d'autres options, comme la possibilité de réviser en ligne les flashcards
http://flashmd.forge.apps.education.fr/

"It's science, it's f = ma. We should keep politics out of it as much as we can." ->
NASA astronaut [Col. Terry W. Virts] on Russian colleagues backing war against Ukraine
https://www.youtube.com/watch?v=lRgSoSAsvio

On Propositional Program Equivalence (extended abstract)
Tobias Kapp\'e
https://arxiv.org/abs/2507.07480 https://arxiv.org/pdf/25…

On Propositional Program Equivalence (extended abstract)
General program equivalence is undecidable. However, if we abstract away the semantics of statements, then this problem becomes not just decidable, but practically feasible. For instance, a program of the form "if $b$ then $e$ else $f$" should be equivalent to "if not $b$ then $f$ else $e$" - no matter what $b$, $e$ and $f$ are. This kind of equivalence is known as propositional equivalence. In this extended abstract, we discuss recent developments in propositional program equivalence from the …

Eindelijk eens op F-droid gekeken naar een app om YouTube filmpjes te kunnen downloaden als dat zo uitkomt.
Bij Tubular (fork van NewPipe) is dat aardig gelukt.
Tubular
https://f-droid.org/packages/org.polymorphicshade.tubular

F*ck me my water bill has gone up by 37.4% in the last 14 months. How did that happen? And I don’t get to switch providers, I just have to suck it up. WTaF?
#water #utilities #publicutilities

Do everything you can to protest tomorrow.
If you can't, flood the socials with NOKINGS because the media, petrified of angering Emperor Trump, is going to downplay & minimize the protests to "tell both sides".
#Protests #NoKings

Burning of fossil fuels caused 1,500 deaths in recent European heat wave, study estimates #Europe

Burning of fossil fuels caused 1,500 deaths in recent European heat wave, study estimates
Human-caused climate change is responsible for killing about 1,500 people in last week's European heat wave, a first-of-its-kind rapid study found.

Decays $f_1 \to a_0 \pi,\pi \pi \pi(\eta)$ and $f_1 \to K K \pi$ in the chiral $U(3) \times U(3)$ quark NJL model
M. K. Volkov, A. A. Pivovarov, K. Nurlan
https://arxiv.org/abs/2506.07065

Decays $f_1 \to a_0 π,πππ(η)$ and $f_1 \to K K π$ in the chiral $U(3) \times U(3)$ quark NJL model
The branching fractions of the axial vector meson decays $f_1 \to a_0 π,ππη$, $f_1 \to ρπ,πππ$ and $f_1 \to KKπ$ are calculated in the standard $U(3) \times U(3)$ quark NJL model. The intermediate channels with the states $a_0(980)π$ and $f_0(500)η$ are taken into account in the decay $f_1 \to ππη$. In the case of the scalar mesons, the $\bar{q}q$ representation as a chiral symmetric partners of the pseudoscalar mesons is used. It is shown that the decays $f_1 \to ρπ$ and $f_1 …

Krass. #Google übersetzt seit Neuestem unnötigerweise deutsche Emails ins Deutsche. Das Problem besteht anscheinend weiterhin.
Wenn Ihr also in letzter Zeit komische Mails bekommen habt, war das vielleicht der Grund.
Das passende Wort dafür: Verschlimmbesserung. 🙄

Gmail fantasiert: Googles Mail-Programm verhunzt Inhalte
Ohne Vorwarnung verändert sich der Inhalt von E-Mails – und mitten in journalistischen Texten tauchen absurde Fehler auf: t-online deckt auf, dass Google ein Problem hat – und vielen Menschen damit Probleme macht.

MINDS: Detection of an inner gas disk caused by evaporating bodies around HD 172555
M. Samland, T. Henning, A. Caratti o Garatti, T. Giannini, J. Bouwman, B. Tabone, A. M. Arabhavi, G. Olofsson, M. G\"udel, N. Pawellek, I. Kamp, L. B. F. M. Waters, D. Semenov, E. F. van Dishoeck, O. Absil, D. Barrado, A. Boccaletti, V. Christiaens, D. Gasman, S. L. Grant, H. Jang, T. Kaeufer, J. Kanwar, G. Perotti, K. Schwarz, M. Temmink

MINDS: Detection of an inner gas disk caused by evaporating bodies around HD 172555
Mechanisms such as collisions of rocky bodies or cometary activity give rise to dusty debris disks. Debris disks trace the leftover building blocks of planets, and thus also planetary composition. HD 172555, a stellar twin of beta Pic, hosts a debris disk thought to have resulted from a giant collision. It is known for its extreme mid-infrared silica dust feature, indicating a warm population of silica-rich grains in the asteroid belt (~5 au), cold CO observed by ALMA, and small bodies evaporat…

In World First, Mexicans Just Voted for Their Supreme Court Justices https://www.goodnewsnetwork.org/in-world-first-mexicans-just-voted-for-their-supreme-court-justices/

In World First, Mexicans Just Voted for Their Supreme Court Justices
The first supreme court chief justice elected democratically on Earth is Hugo Aguilar, a noted indigenous rights defender.

On matrices commuting with their Frobenius
Fabian Gundlach, B\'eranger Seguin
https://arxiv.org/abs/2506.08695 https://arxiv.org/…

On matrices commuting with their Frobenius
The Frobenius of a matrix $M$ with coefficients in $\bar{\mathbb F}_p$ is the matrix $σ(M)$ obtained by raising each coefficient to the $p$-th power. We consider the question of counting matrices with coefficients in $\mathbb F_q$ which commute with their Frobenius, asymptotically when $q$ is a large power of $p$. We give answers for matrices of size $2$, for diagonalizable matrices, and for matrices whose eigenspaces are defined over $\mathbb F_p$. Moreover, we explain what is needed to solve…

Pues que me disponía a preparar un pequeño tutorial para poder instalar LineageOS en un pixel 6a, por lo del tema de la batería, y resulta que Google ha borrado de su web las imšgenes de fšbrica anteriores al parche de julio, con lo que no se puede
Nota aclaratoria: hace falta la OTA completa de mayo, la que lleva el recovery nuevo, para tener en los dos slots de arranque el mismo recovery (la actualización solo sobreescribe el slot activo), para poder instalar LineageOS, ya que no hay …

Magnetic phases and zone-folded phonons in a frustrated van der Waals magnet
A. Pawbake, F. Petot, F. Le Mardel\'e, T. Riccardi, J. L\'ev\^eque, B. A. Piot, M. Orlita, J. Coraux, M. Hubert, J. Dzian, M. Veis, Y. Skourski, B. Wu, Z. Sofer, B. Gr\'emaud, A. Sa\'ul, C. Faugeras
https://arxiv.org/abs/2506.09680

Magnetic phases and zone-folded phonons in a frustrated van der Waals magnet
2D magnetic materials have attracted extensive research interest due to their potential application in nanospintronics, optospintronics, and in magnonics. Ferromagnetic as well as antiferromagnetic layered materials have been demonstrated and successfully inserted into van der Waals heterostructures. However, the effects of magnetic frustration in van der Waals materials and the possibilities offered by spin configurations characterized by nonlinear spin arrangements have not been fully conside…

This https://arxiv.org/abs/2506.05055 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepe…

Study of $f_1(1420)$ and $η(1405)$ in the decay $J/ψ\to γπ^{0}π^{0}π^{0}$
A partial-wave analysis is performed on the decay $J/ψ\toγπ^{0}π^{0}π^{0}$ within the $π^{0}π^{0}π^{0}$ invariant-mass region below 1.6 GeV$/c^{2}$, using $(10.09~\pm~0.04)\times10^{9} ~J/ψ$ events collected with the BESIII detector. Significant isospin-violating decays of $η(1405)$ and $f_1(1420)$ into $f_0(980)π^{0}$ are observed. For the first time, three axial-vectors, $f_1(1285)$, $f_1(1420)$ and $f_1(1510)$, are observed to decay into $π^{0}π^{0}π^{0}$. The product branching…

This https://arxiv.org/abs/2505.22853 has been replaced.
initial toot: https://mastoxiv.page/@ar…

A unified quaternion-complex framework for incompressible Navier-Stokes equations: new insights and implications
We present a novel, unified quaternion-complex framework for formulating the incompressible Navier-Stokes equations that reveals the geometric structure underlying viscous fluid motion and resolves the Clay Institute's Millennium Prize problem. By introducing complex coordinates $z = x + iy$ and expressing the velocity field as $F = u + iv$, we demonstrate that the nonlinear convection terms decompose as $(u \cdot \nabla)F = F \cdot \frac{\partial F}{\partial z} + F^* \cdot \frac{\partial F}{\p…

@… https://www.perplexity.ai/search/php-8-4-foreach-vs-array-any-w-NDNjK.gHSg60csuohX_ifQ#0…

It’s time for something new. So: what do you think I should do next? I want to be of service. https://anildash.com/2025/06/11/time-for-something-new/

It's Time for Something New
A blog about making culture. Since 1999.

Pissant Pol Pot
bot by @…
This is a joke, not a threat: don't make me go to gulag.
#satire #potus45

Upper Bound on Quantum Fisher Information in Pseudo-Hermitian Systems
Ievgen I. Arkhipov, F. Nori, \c{S}. K. \"Ozdemir
https://arxiv.org/abs/2506.09763

Upper Bound on Quantum Fisher Information in Pseudo-Hermitian Systems
Non-Hermitian systems have attracted considerable interest over the last few decades due to their unique spectral and dynamical properties not encountered in Hermitian counterparts. An intensely debated question is whether non-Hermitian systems, described by pseudo-Hermitian Hamiltonians with real spectra, can offer enhanced sensitivity for parameter estimation when they are operated at or close to exceptional points. However, much of the current analysis and conclusions are based on mathematic…

Congruence conditions for the mod $\lambda$ values of the Fourier coefficients of classical eigenforms
Michael A. Daas
https://arxiv.org/abs/2506.08865 htt…

Congruence conditions for the mod $λ$ values of the Fourier coefficients of classical eigenforms
We classify all instances of the condition $a_{p}(f) \equiv x \bmod λ$ being related to a congruence on the prime $p$, where $a_{p}(f)$ denotes the $p$th Fourier coefficient of a classical normalised cuspidal eigenform $f$ and $λ$ is a prime in the number field generated by the Fourier coefficients of $f$. This classification is done in terms of the (projective) image of the mod $λ$ Galois representation associated with $f$ and extends work by Swinnerton-Dyer. We highlight that for $x = 0$, …

Commitment Schemes for Multi-Party Computation
Ioan Ionescu, Ruxandra F. Olimid
https://arxiv.org/abs/2506.10721 https://arxiv.org/pd…

Commitment Schemes for Multi-Party Computation
The paper presents an analysis of Commitment Schemes (CSs) used in Multi-Party Computation (MPC) protocols. While the individual properties of CSs and the guarantees offered by MPC have been widely studied in isolation, their interrelation in concrete protocols and applications remains mostly underexplored. This paper presents the relation between the two, with an emphasis on (security) properties and their impact on the upper layer MPC. In particular, we investigate how different types of CSs …

Measuring Semantic Information Production in Generative Diffusion Models
Florian Handke, F\'elix Koulischer, Gabriel Raya, Luca Ambrogioni
https://arxiv.org/abs/2506.10433

Measuring Semantic Information Production in Generative Diffusion Models
It is well known that semantic and structural features of the generated images emerge at different times during the reverse dynamics of diffusion, a phenomenon that has been connected to physical phase transitions in magnets and other materials. In this paper, we introduce a general information-theoretic approach to measure when these class-semantic "decisions" are made during the generative process. By using an online formula for the optimal Bayesian classifier, we estimate the conditional ent…

Once again on an analogue of the certain Voevodsky theorem
Ivan Panin, Dimitrii Tyurin
https://arxiv.org/abs/2506.06795 https://arxiv…

Once again on an analogue of the certain Voevodsky theorem
Suppose that $F$ is an $\mathbb{A}^{1}$-invariant quasi-stable $\mathbb{Z}F_{\ast}$-presheaf. Then its Zariski sheafification $F_{Zar}$ coincides with its Nisnevich sheafification $F_{Nis}$. Moreover, if $X\in Sm/k$ is $k$-smooth, then for any $n$ there is equality $H^{n}_{Zar}(X, F_{Zar})=H^{n}_{Nis}(X,F_{Nis})$.

$\ast$-$\eta$-Ricci solitons on weak Kenmotsu $f$-manifolds
Vladimir Rovenski
https://arxiv.org/abs/2506.08973 https://arxiv.org/pdf/…

$\ast$-$η$-Ricci solitons on weak Kenmotsu $f$-manifolds
Recent interest among geometers in $f$-structures of K. Yano is due to the study of topology and dynamics of contact foliations and generalized A. Weinstein conjectures. Weak metric $f$-structures, introduced by the author and R. Wolak as a generalization of Hermitian structure, as well as $f$-structure allow for a fresh perspective on the classical theory. An important case of such manifolds, which is locally a twisted product, is a weak $βf$-Kenmotsu manifold defined as a generalization of K…

Dating N loud AGNs at high redshift: GS3073 as a snapshot of wCen like evolution of a nuclear star cluster
F. D'Antona, P. Ventura, A. F. Marino, A. P. Milone, E. Vesperini, F. Calura, M. Tailo, R. Valiante, V. Caloi, A. D'Ercole, F. Dell'Agli
https://arxiv.org/abs/2507.06311…

Dating N loud AGNs at high redshift: GS3073 as a snapshot of wCen like evolution of a nuclear star cluster
In this paper we address two major questions raised by recent James Webb Space Telescope observations of the young Universe, namely: 1) what are the seed initial masses, and how rapidly have supermassive black holes (BHs) with masses of 1e6-1e8Msun grown in active galactic nuclei (AGN) hosted by very young galaxies? 2) What are the plausible explanations for the super solar abundances of nitrogen in a fraction of young galaxies at high redshift, both with and without evidence of a massive centr…

Wave-front tracking for a quasi-linear scalar conservation law with hysteresis II: the case of Preisach
Fabio Bagagiolo, Stefan Moreti
https://arxiv.org/abs/2506.10087

Wave-front tracking for a quasi-linear scalar conservation law with hysteresis II: the case of Preisach
We consider the Cauchy problem for the quasi-linear scalar conservation law \[u_t+\mathcal{F}(u)_t+u_x=0,\] where $\mathcal{F}$ is a specific hysteresis operator. Hysteresis models a rate-independent memory relationship between the input $u$ and its output, giving a non-local feature to the equation. In a previous work the authors studied the case when $\mathcal{F}$ is the Play operator. In the present article, we extend the analysis to the case of Preisach operator, which is probably the most …

Federal Agents Clash With Protesters During Immigration Raid at California Farm
Officers appeared to use crowd control munitions and tear gas against protesters.
The F.B.I. said it was searching for a person who appeared to fire a pistol at officers.
https:/…

Federal Agents Clash With Protesters During Immigration Raid at California Farm
Officers appeared to use crowd control munitions and tear gas against protesters. The F.B.I. said it was searching for a person who appeared to fire a pistol at officers.

Semi-Automated Quality Assurance in Digital Pathology: Tile Classification Approach
Meredith VandeHaar, M. Clinch, I. Yilmaz, M. A. Rahman, Y. Xiao, F. Dogany, H. M. Alazab, A. Nassar, Z. Akkus, B. Dangott
https://arxiv.org/abs/2506.10916

Semi-Automated Quality Assurance in Digital Pathology: Tile Classification Approach
Quality assurance is a critical but underexplored area in digital pathology, where even minor artifacts can have significant effects. Artifacts have been shown to negatively impact the performance of AI diagnostic models. In current practice, trained staff manually review digitized images prior to release of these slides to pathologists which are then used to render a diagnosis. Conventional image processing approaches, provide a foundation for detecting artifacts on digital pathology slides. H…

Considerations on Everett J. Nelson's connexive logic
Davide Fazio, Raffaele Mascella
https://arxiv.org/abs/2506.10893 https://ar…

Considerations on Everett J. Nelson's connexive logic
This work explores Everett John Nelson's connexive logic, outlined in his PhD thesis and partially summarized in his 1930 paper \emph{Intensional Relations}, which is obtained by extending the system $\mathsf{NL}$ (reconstructed by E. Mares and F. Paoli) with a weak conjunction elimination rule explicitly assumed in the former but not in the latter. After a preliminary analysis of Nelson's philosophical ideas, we provide an algebraic-relational semantics for his logic and we investigate possibl…

Wormhole Solutions and pre-inflationary in $F(R, T)$ Gravity with Axion Fields
Guo-He Li, Yeqi Fang, Yuchi Wu, Jun Tao
https://arxiv.org/abs/2506.09310 htt…

Wormhole Solutions and pre-inflationary in $F(R, T)$ Gravity with Axion Fields
In this study, we investigate wormhole solutions and inflationary initial conditions in the coupled axion-inflaton/scalar field system within $F(R,T)$ gravity. Notably, the Euclidean action is reduced by approximately $10^5$ compared with the GR case. In Euclidean AdS spacetime, we construct Euclidean (semi-)wormhole geometries that naturally set inflationary initial conditions. To enhance the probability of sustained inflation and address the short inflation duration issue in the no-boundary p…

Multiversion of the Hausdorff--Young inequality
Paata Ivanisvili, Pavlos Kalantzopoulos
https://arxiv.org/abs/2506.08494 https://arxi…

Multiversion of the Hausdorff--Young inequality
We consider a family of jointly Gaussian random vectors $ξ_j \in \mathbb{R}^{k_j}$, each standard normal but possibly correlated, and investigate when\[ \mathbb{E}\, F\!\Bigl(B\bigl(|T_{z_1} f_1(ξ_1)|,\dots,|T_{z_n} f_n(ξ_n)|\bigr)\Bigr) \;\;\le\;\; F\!\Bigl(\,\mathbb{E}\,B\bigl(|f_1(ξ_1)|,\dots,|f_n(ξ_n)|\bigr)\Bigr) \] holds, where $T_{z}$ is either a Mehler transform $(z \in \mathbb{C})$ or a noise operator $(z \in \mathbb{R})$. This framework uni…

Under Pressure From the White House, ICE Seeks New Ways to Ramp Up Arrests (Hamed Aleaziz/New York Times)
https://www.nytimes.com/2025/06/11/us/politics/ice-la-protest-arrests.html?unlocked_article_code=1.OE8.3d_F.oSkeogGnHrsP&smid=url-share
http://www.memeorandum.com/250611/p12#a250611p12

On orbit sets generated by semigroups of one-dimensional affine functions
Karim F. Shamazov, Alexey L. Talambutsa
https://arxiv.org/abs/2507.06875 https://…

On orbit sets generated by semigroups of one-dimensional affine functions
The one-dimensional orbit set $\langle F : s \rangle$ is formed by the images of a number $s$ under the action of a semigroup generated by the integer affine functions $f_i=a_i x+b_i$ taken from the set $F=\{f_1,\ldots,f_n\}$. P.Erdös established an upper bound $O(x^{σ+ε})$ for the growth function $|\langle F : s \rangle\cap[0,x]|$, where $1/a_1^σ+1/a_2^σ+\ldots + 1/a_n^σ=1$ and $\varepsilon>0$, which was extended to orbit multisets and real affine functions by J.Lagarias. We co…

Orbifold Saito theory of A and D type singularities
Alexey Basalaev, Anton Rarovskii
https://arxiv.org/abs/2507.07609 https://arxiv.o…

Orbifold Saito theory of A and D type singularities
Saito theory associates to an isolated singularity rich structure that plays an important role in mirror symmetry. In this note we construct Saito theory for A and D type Landau--Ginzburg orbifolds. Namely, for the pairs $(f,G)$, where $f$ defines an isolated singularity of A and D type and $G$ is a group of symmetries of $f$. In total we consider five families of such pairs. In particular, we construct the orbifold versions of Brieskorn lattice and the Gauss--Manin connection computing them ex…

Topological $(\mathscr{F},\mathscr{G})-$shadowing property
Shital H. Joshi, Ekta Shah
https://arxiv.org/abs/2507.03982 https://arxiv.…

Topological $(\mathscr{F},\mathscr{G})-$shadowing property
We define the concept of $(\mathscr{F},\mathscr{G})-$shadowing property on uniform space and say it as a topological $(\mathscr{F},\mathscr{G})-$shadowing property. We show that topological shadowing, topological $(\mathscr{D},\mathscr{F}_t)-$shadowing, topological $(\mathscr{F}_t,\mathscr{F}_t)-$shadowing and topological $(\mathbb{N},\mathscr{F}_t)-$shadowing are equivalent in compact chain recurrent dynamical system. We also prove that if minimal points of $f$ are not dense in $X$ then the sy…

Almost Sure Convergence for the Last Iterate of Stochastic Gradient Descent Schemes
Marcel Hudiani
https://arxiv.org/abs/2507.07281 https://

Almost Sure Convergence for the Last Iterate of Stochastic Gradient Descent Schemes
We study the almost sure convergence rate for the last iterate of stochastic gradient descent (SGD) and stochastic heavy ball (SHB) in the parametric setting when the objective function $F$ is globally convex or non-convex whose gradient is $γ$-Hölder. Using only discrete Gronwall's inequality without Robbins-Siegmund theorem nor martingale convergence theory, we recover results for both SGD and SHB: $\min_{s\leq t} \|\nabla F(w_s)\|^2 = o(t^{p-1})$ for non-convex objectives and $F(…

Donny Dorko
bot by @…
This is for tee hee, not treason: don't make me go to gulag.
#satire #potus45

Every tenth of a degree matters; each increment of global warming will bring a relatively larger increase in adverse societal and ecological impacts than the last.
https://mastoreader.io/?url=https:%2F/c.im/@cdarwin/114843468388096178

Overtone Rabi oscillation of optically polarized triplet electron spins and nuclear hyperpolarization in powder
Koichiro Miyanishi, Takuya F. Segawa, Makoto Negoro, Akinori Kagawa, Kazuyuki Takeda
https://arxiv.org/abs/2506.10498

Overtone Rabi oscillation of optically polarized triplet electron spins and nuclear hyperpolarization in powder
We report coherent overtone Rabi oscillations of optically-polarized triplet electron spins and nuclear hyperpolarization in powder samples at room temperature. The strong orientation dependence through the zero-field splitting (ZFS) interaction in the single-quantum transition is overcome by coherently driving the significantly narrower overtone transition. Analytical formulas for the overtone lineshape and nutation functions for axially symmetric ZFS interactions are derived. Overtone Rabi os…

Position of $L(X, Y)$ in $Lip_0(X, Y)$
Anil Kumar Karn, Arindam Mandal
https://arxiv.org/abs/2506.09324 https://arxiv.org/pdf/2506.09…

Position of $L(X, Y)$ in $Lip_0(X, Y)$
We prove that $L(X,Y)$ is complemented in $Lip_0(X, Y)$ (via a norm-one projection) provided that $Y$ is a dual space. Next, we introduce a vector-valued Lipschitz-free space $F_Y(X)$, a linear contraction $β_X^Y: F_Y(X) \to Y$ and prove that the quotient space ${Lip_{0}(X, Y)}/{L(X, Y) }$ is isometrically isomorphic to $L(\ker(β_X^Y), Y)$ whenever $Y$ is injective. We also consider a $Y$-valued duality pairing between $Lip_0(X, Y)$ and $F_Y(X)$ and obtain a necessary and sufficient condition…

Federal judge blocks 'roving' immigration arrests amid Los Angeles crackdown (Kyle Cheney/Politico)
https://www.politico.com/news/2025/07/11/federal-judge-blocks-roving-immigration-arrests-amid-los-angeles-crackdown-00449914
http://www.memeorandum.com/250712/p2#a250712p2

Norway to send F-35 fighter jets to Poland to cover transportation hub for Ukrainian military aid: https://benborges.xyz/2025/06/30/norway-to-send-f-fighter.html

Exact Tur\'{a}n densities in triple systems
Nannan Chen, Yuzhen Qi, Caihong Yang, Hongbin Zhao
https://arxiv.org/abs/2507.07360 https://

Exact Turán densities in triple systems
In this paper, we prove several new Turán density results for $3$-graphs. We show: $π(C_4^3, \mathrm{complement\ of\ } F_5) = 2\sqrt{3} - 3$, $π(F_{3,2}, C_5^{3-}) = \frac{2}{9}$, and $π(F_{3,2}, \mathrm{induced\ complement\ of\ } F_{3,2}) = \frac{3}{8}$. The first result confirms the conjecture of Shi~[On Turán denisties of small triple graphs, European J. Combin. 52 (2016) 95-102]. The other results give several special non-principal family posed by Mubayi and Rödl~[On the Turán number…

Counting isomorphism classes of elliptic curves over $\mathbb{F}_q(t)$
Jun-Yong Park
https://arxiv.org/abs/2507.06754 https://arxiv.o…

Counting isomorphism classes of elliptic curves over $\mathbb{F}_q(t)$
We determine the precise number of isomorphism classes of elliptic curves over $\mathbb{F}_q(t)$ with $\text{char}(\mathbb{F}_q) = 3,2$. The key idea is to obtain the exact unweighted number of rational points on the classifying stacks $\mathcal{B} Q_{12}$, $\mathcal{B} Q_{24}$ and $\mathcal{B} Z$, where $Q_{12}$ and $Q_{24}$ denote the dicyclic groups of orders 12 and 24, respectively, and $Z$ denotes the non-reduced group scheme of order 2. This computation, inspired by the classical work of …

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition
Riku Kishida
https://arxiv.org/abs/2506.07093 h…

The volume of marginally trapped submanifolds in a Lorentzian manifold satisfying the null energy condition
In this paper, we focus on a marginally trapped submanifold $f:Σ^n\to M^{n+2}_1$ in a Lorentzian manifold $M^{n+2}_1$. We show that $f$ lies in a certain null hypersurface $\mathcal{N}_f^{n+1}$ in $M^{n+2}_1$ and $f$ has a locally volume-maximizing property in $\mathcal{N}^{n+1}_f$ if $M^{n+2}_1$ satisfies the null energy condition.

Radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\bf6_F$ representation
Xuan Luo, Hua-Xing Chen, Er-Liang Cui, Hui-Min Yang, Dan Zhou, Zhi-Yong Zhou
https://arxiv.org/abs/2506.08335

Radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\bf6_F$ representation
We perform a comprehensive investigation of the radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\mathbf{6}_F$ representation, employing the light-cone QCD sum rule approach within the framework of heavy quark effective theory. We analyze their electromagnetic transitions into ground-state charmed baryons via photon emission. When combined with the mass spectra and strong decay properties previously studied in Ref.~\cite{Yang:2021lce}, our results constitute a systematic and …

Grapefruit Genghis Khan
bot by @…
This is a joke, not a threat: put the zip ties down.
#satire #potus45

Classification of bifurcation structure for semilinear elliptic equations in a ball
Kenta Kumagai
https://arxiv.org/abs/2507.06760 https://arxiv.org/pdf/2507.06760 https://arxiv.org/html/2507.06760
arXiv:2507.06760v1 Announce Type: new
Abstract: We consider the Gelfand problem with Sobolev supercritical nonlinearities $f$ in the unit ball. In the case where $f$ is a power type nonlinearity or the exponential nonlinearity, it is well-known that the bifurcation curve has infinitely many turning points when the growth rate of $f$ is smaller than that of the specific nonlinearity (called the Joseph-Lundgren critical nonlinearity), while the bifurcation curve has no turning point when the growth rate of $f$ is greater than or equal to that of the Joseph-Lundgren critical nonlinearity.
In this paper, we give a new type of nonlinearity $f$ such that the growth rate is greater than or equal to that of the Joseph-Lundgren critical nonlinearity, while the bifurcation curve has infinitely many turning points. This result shows that the bifurcation structure is not determined solely by the comparison between the growth rate of $f$ and that of the Joseph-Lundgren critical nonlinearity. In fact, we find a general criterion which determines the bifurcation structure; and give a classification of the bifurcation structure.
toXiv_bot_toot

Heuristics for (ir)reducibility of $p$-rank strata of the moduli space of hyperelliptic curves
Thomas Bouchet, Erik Davis, Steven R. Groen, Zachary Porat, Benjamin York
https://arxiv.org/abs/2506.06457

Heuristics for (ir)reducibility of $p$-rank strata of the moduli space of hyperelliptic curves
Let $\mathcal{H}_g$ denote the moduli space of smooth hyperelliptic curves of genus $g$ in characteristic $p\geq 3$, and let $\mathcal{H}_g^f$ denote the $p$-rank $f$ stratum of $\mathcal{H}_g$ for $0 \leq f \leq g$. Achter and Pries note in their 2011 work that determining the number of irreducible components of $\mathcal{H}_g^f$ would lead to several intriguing corollaries. In this paper, we present a computational approach for estimating the number of irreducible components in various $p$-ra…

On Sierpi\'{n}ski packing chromatic number and recognition of Sierpi\'{n}ski products
P\v{r}emysl Holub, Sandi Klav\v{z}ar
https://arxiv.org/abs/2507.06730

On Sierpiński packing chromatic number and recognition of Sierpiński products
The Sierpiński product $G \otimes _f H$ of graphs $G$ and $H$ with respect to a function $f \colon V(G)\rightarrow V(H)$ has the vertex set $V(G)\times V(H)$. For every $g\in V(G)$ it contains a disjoint copy $gH$ of $H$, and for every edge $gg'$ of $G$ there is the edge $(g,f(g'))(g',f(g))$ between $gH$ and $g'H$. In this paper, the Sierpiński packing chromatic number is defined as the minimum of $χ_ρ(G\otimes _f H)$ over all functions $f$, where $χ_ρ(X)$ is the packing chromatic number …

Repeated ancilla reuse for logical computation on a neutral atom quantum computer
J. A. Muniz, D. Crow, H. Kim, J. M. Kindem, W. B. Cairncross, A. Ryou, T. C. Bohdanowicz, C. -A. Chen, Y. Ji, A. M. W. Jones, E. Megidish, C. Nishiguchi, M. Urbanek, L. Wadleigh, T. Wilkason, D. Aasen, K. Barnes, J. M. Bello-Rivas, I. Bloomfield, G. Booth, A. Brown, M. O. Brown, K. Cassella, G. Cowan, J. Epstein, M. Feldkamp, C. Griger, Y. Hassan, A. Heinz, E. Halperin, T. Hofler, F. Hummel, M. Jaffe, E. …

Repeated ancilla reuse for logical computation on a neutral atom quantum computer
Quantum processors based on neutral atoms trapped in arrays of optical tweezers have appealing properties, including relatively easy qubit number scaling and the ability to engineer arbitrary gate connectivity with atom movement. However, these platforms are inherently prone to atom loss, and the ability to replace lost atoms during a quantum computation is an important but previously elusive capability. Here, we demonstrate the ability to measure and re-initialize, and if necessary replace, a …

Cosmic Hysteresis in $f(R)$ Gravity: A Thermodynamic Perspective on Cyclic Bouncing Universes
Aritra Sanyal
https://arxiv.org/abs/2506.08109 https://

Cosmic Hysteresis in $f(R)$ Gravity: A Thermodynamic Perspective on Cyclic Bouncing Universes
We investigate the emergence of cosmic hysteresis in cyclic bouncing cosmologies within the framework of $f(R)$ modified gravity theories. Building upon previous studies that explored hysteresis phenomena in braneworld and Einstein-Gauss-Bonnet gravity, we analyze how scalar field dynamics coupled to a modified gravitational background generates asymmetric pressure evolution during expansion and contraction phases. This asymmetry manifests as a non-vanishing work integral over complete cosmic c…

On the cubic Shimura lift to $PGL(3)$: Hecke correspondences
Solomon Friedberg, Omer Offen
https://arxiv.org/abs/2507.06963 https://a…

On the cubic Shimura lift to $PGL(3)$: Hecke correspondences
In this paper we establish a new Fundamental Lemma for Hecke correspondences. Let $F$ be a local field containing the cube roots of unity. We exhibit an algebra isomorphism of the spherical Hecke algebra of $PGL_3(F)$ and the spherical Hecke algebra of anti-genuine functions on the cubic cover $G'$ of $SL_3(F)$. Then we show that there is a matching (up to a specific transfer factor) of distributions on the two groups for all functions that correspond under this isomorphism. On $PGL_3(F)$ the d…

Infector in Chief
bot by @…
This is satire, not sedition: please don't torture me.
#satire #potus45

This https://arxiv.org/abs/2406.15909 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Fibred surfaces and their unitary rank
Let $f\colon S\to B$ a complex fibred surface with fibres of genus $g\geq 2$. Let $u_f$ be its unitary rank, i.e., the rank of the maximal unitary summand of the Hodge bundle $f_*ω_f$. We prove many new slope inequalities involving $u_f$ and some other invariants of the fibration. As applications: (1) we prove a new Xiao-type bound on $u_f$ with respect to $g$ for non-isotrivial fibrations: \[ u_f< g\frac{5g-2}{6g-3}. \] In particular this implies that if $f$ is not locally trivial and $u_f=…

Freeze-in production of scalaron dark matter in $f(R)$ gravity
Basabendu Barman, Ashmita Das, Rakesh Kumar SivaKumar, Rudra Pratap Udgata
https://arxiv.org/abs/2506.06436

Freeze-in production of scalaron dark matter in $f(R)$ gravity
We demonstrate that the scalaron, a scalar degree of freedom, emerging from the $f(R)$ theory of gravity, can account for the observed dark matter (DM) abundance if its mass is around the MeV scale, to ensure its cosmological stability. Focusing on two well-known $f(R)$ gravity models, we systematically show that if scalaron production proceeds via the freeze-in mechanism, the right relic abundance is satisfied over a very narrow window of reheating temperature $10^{14}\lesssim T_{\rm rh}\lesss…

Decay of Fourier transforms and analytic continuation of power-constructible functions
Georges Comte, Dan J. Miller, Tamara Servi
https://arxiv.org/abs/2507.06142

Decay of Fourier transforms and analytic continuation of power-constructible functions
For a subfield K of C, we denote by C^K the category of algebras of functions defined on the globally subanalytic sets that are generated by all K-powers and logarithms of positively-valued globally subanalytic functions. For any function f in C^\K(R), we study links between holomorphic extensions of f and the decay of its Fourier transform F[f] by using tameness properties of the globally subanalytic functions from which f is constructed. We first prove a number of theorems about analytic cont…

Immersions of large cliques in graphs with independence number 2 and bounded maximum degree
F\'abio Botler, Cristina G. Fernandes, Carla N. Lintzmayer, Rui A. Lopes, Suchismita Mishra, Bruno L. Netto, Maycon Sambinelli
https://arxiv.org/abs/2506.09768

Immersions of large cliques in graphs with independence number 2 and bounded maximum degree
An immersion of a graph $H$ in a graph $G$ is a minimal subgraph $I$ of $G$ for which there is an injection ${\rm i} \colon V(H) \to V(I)$ and a set of edge-disjoint paths $\{P_e: e \in E(H)\}$ in $I$ such that the end vertices of $P_{uv}$ are precisely ${\rm i}(u)$ and ${\rm i}(v)$. The immersion analogue of Hadwiger Conjecture (1943), posed by Lescure and Meyniel (1985), asks whether every graph $G$ contains an immersion of $K_{χ(G)}$. Its restriction to graphs with independence number 2 has…

Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials
Jonah Blasiak, Mark Haiman, Jennifer Morse, Anna Pun, George H. Seelinger
https://arxiv.org/abs/2506.09015

Flagged LLT polynomials, nonsymmetric plethysm, and nonsymmetric Macdonald polynomials
The plethystic transformation $f[X] \mapsto f[X/(1-t)]$ and LLT polynomials are central to the theory of symmetric Macdonald polynomials. In this work, we introduce and study nonsymmetric flagged LLT polynomials. We show that these admit both an algebraic and a combinatorial description, that they Weyl symmetrize to the usual symmetric LLT polynomials, and we conjecture that they expand positively in terms of Demazure atoms. Additionally, we construct a nonsymmetric plethysm operator $Π_{t,x}$…

When does a tree activate the random graph?
Asaf Cohen Antonir, Yuval Peled, Asaf Shapira, Mykhaylo Tyomkyn, Maksim Zhukovskii
https://arxiv.org/abs/2507.05697

When does a tree activate the random graph?
Let $F$ and $G$ be two graphs. A spanning subgraph $H$ of $G$ is called weakly $F$-saturated if one can add to $H$ the edges of $G \setminus H$ in some order, so that whenever a new edge is added, a new copy of $F$ is formed. Obtaining lower bounds for the minimum size $\mathrm{wsat}(G,F)$ of such an $H$ is a classical problem in extremal combinatorics. In particular, in the past 40 years, various algebraic tools have been developed to prove lower bounds on the weak saturation number $\mathrm{w…

Evasive sets, twisted varieties, and container-clique trees
Jeck Lim, Jiaxi Nie, Ji Zeng
https://arxiv.org/abs/2507.07594 https://arx…

Evasive sets, twisted varieties, and container-clique trees
In the affine space $\mathbb{F}_q^n$ over the finite field of order $q$, a point set $S$ is said to be $(d,k,r)$-evasive if the intersection between $S$ and any variety, of dimension $k$ and degree at most $d$, has cardinality less than $r$. As $q$ tends to infinity, the size of a $(d,k,r)$-evasive set in $\mathbb{F}_q^n$ is at most $O\left(q^{n-k}\right)$ by a simple averaging argument. We exhibit the existence of such evasive sets of sizes at least $Ω\left(q^{n-k}\right)$ for much smaller va…