Tootfinder

Melting down a tetraquark: $D^{\ast}D^{(\ast)}$ interactions and $T_{cc}(3875)^ $ in a hot environment
Victor Montesinos, Gloria Montana, Miguel Albaladejo, Juan Nieves, Laura Tolos
https://arxiv.org/abs/2507.13319

Melting down a tetraquark: $D^{\ast}D^{(\ast)}$ interactions and $T_{cc}(3875)^+$ in a hot environment
We discuss the modification of the properties of the tetraquark-like $T_{cc}(3875)^+$ and its heavy quark spin partner, $T_{cc}(4016)^{*+}$ immersed in a hot bath of pions. We consider these exotic states as purely isoscalar $DD^\ast$ and $D^\ast D^\ast$ $S$-wave bound states, respectively. Finite temperature effects are incorporated through the $D$ and $D^\ast$ state-of-the-art thermal spectral functions calculated in [G. Montana et al., Phys. Rev. D, 102 (2020) 096020], using the imaginary-ti…

AST-Enhanced or AST-Overloaded? The Surprising Impact of Hybrid Graph Representations on Code Clone Detection
Zixian Zhang, Takfarinas Saber
https://arxiv.org/abs/2506.14470

AST-Enhanced or AST-Overloaded? The Surprising Impact of Hybrid Graph Representations on Code Clone Detection
As one of the most detrimental code smells, code clones significantly increase software maintenance costs and heighten vulnerability risks, making their detection a critical challenge in software engineering. Abstract Syntax Trees (ASTs) dominate deep learning-based code clone detection due to their precise syntactic structure representation, but they inherently lack semantic depth. Recent studies address this by enriching AST-based representations with semantic graphs, such as Control Flow Gra…

Associative Pentagon Algebras
Marzia Mazzotta, Agata Pilitowska
https://arxiv.org/abs/2506.14216 https://arxiv.org/pdf/2506.14216

Associative Pentagon Algebras
A set-theoretic solution to the Pentagon Equation can be described as a \emph{pentagon} algebra $(S, \cdot, \ast)$ such that $(S, \cdot)$ is a semigroup and the operations $\cdot$ and $\ast$ are related by two additional equations. This paper aims to investigate associative pentagon algebras in which $(S, \ast)$ is also a semigroup. We introduce and describe two families of associative pentagon algebras which are strongly determined by the properties of the semigroup $(S,\ast)$. We present a co…

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications
Mario Klisse
https://arxiv.org/abs/2507.12271 https://a…

Universal C$^{\ast}$-Algebras from Graph Products: Structure and Applications
In this article, we introduce and investigate a class of C$^{\ast}$-algebras generated by reduced graph products of C$^{\ast}$-algebras, augmented with families of projections naturally associated with words in right-angled Coxeter groups. These ambient C$^{\ast}$-algebras possess a rich and tractable combinatorial structure, which enables the deduction of a variety of structural properties. Among other results, we establish universal properties, characterize nuclearity and exactness in terms o…

At least 4 killed, 48 injured in Russian attacks across Ukraine over past day: https://benborges.xyz/2025/07/17/at-least-killed-injured-in.html

Overmassive black holes in the early Universe can be explained by gas-rich, dark matter-dominated galaxies
William McClymont, Sandro Tacchella, Xihan Ji, Rahul Kannan, Roberto Maiolino, Charlotte Simmonds, Aaron Smith, Ewald Puchwein, Enrico Garaldi, Mark Vogelsberger, Francesco D'Eugenio, Laura Keating, Xuejian Shen, Bartolomeo Trefoloni, Oliver Zier

Overmassive black holes in the early Universe can be explained by gas-rich, dark matter-dominated galaxies
JWST has revealed the apparent evolution of the black hole (BH)-stellar mass ($M_\mathrm{BH}$-$M_\rm{\ast}$) relation in the early Universe, while remaining consistent the BH-dynamical mass ($M_\mathrm{BH}$-$M_\mathrm{dyn}$) relation. We predict BH masses for $z>3$ galaxies in the high-resolution THESAN-ZOOM simulations by assuming the $M_\mathrm{BH}$-$M_\mathrm{dyn}$ relation is fundamental. Even without live BH modelling, our approach reproduces the JWST-observed $M_\mathrm{BH}$ distribution,…

$2$-representation infinite algebras from non-abelian subgroups of $\operatorname{SL}_3$. Part II: Central extensions and exceptionals
Darius Dramburg
https://arxiv.org/abs/2507.12923

$2$-representation infinite algebras from non-abelian subgroups of $\operatorname{SL}_3$. Part II: Central extensions and exceptionals
Let $G \leq \operatorname{SL}_3(\mathbb{C})$ be a non-trivial finite group, acting on $R = \mathbb{C}[x_1, x_2, x_3]$. We continue our investigation from arXiv:2505.10683 [math.RT] into when the resulting skew-group algebra $R \ast G$ is a $3$-preprojective algebra of a $2$-representation infinite algebra. We consider the subgroups arising from $\operatorname{GL}_2(\mathbb{C}) \hookrightarrow \operatorname{SL}_3(\mathbb{C})$, called type (B), as well as the exceptional subgroups, called types (…

Hyperuniformity near jamming transition over a wide range of bidispersity
Duc T. Dam, Takeshi Kawasaki, Atsushi Ikeda, Kunimasa Miyazaki
https://arxiv.org/abs/2507.12738

Hyperuniformity near jamming transition over a wide range of bidispersity
We numerically investigate hyperuniformity in two-dimensional frictionless jammed packings of bidisperse systems. Hyperuniformity is characterized by the suppression of density fluctuations at large length scales, and the structure factor asymptotically vanishes in the small-wavenumber limit as $S(q) \propto q^α$, where $α> 0$. It is well known that jammed configurations exhibit hyperuniformity over a wide range of wavenumbers windows, down to $q^{\ast}σ\approx 0.2$, where $σ$ is the partic…

Law of large numbers for the discriminant of random polynomials
Marcus Michelen, Oren Yakir
https://arxiv.org/abs/2506.12206 https://…

Law of large numbers for the discriminant of random polynomials
Let $f_n$ be a random polynomial of degree $n$, whose coefficients are independent and identically distributed random variables with mean-zero and variance one. Let $Δ(f_n)$ denote the discriminant of $f_n$, that is $Δ(f_n) = A^{2n-2}\prod_{i < j} (α_j - α_i)^2$ where $A$ is the leading coefficient of $f_n$ and $α_1,\ldotsα_n$ are its roots. We prove that with high probability $$|Δ(f_n)| = n^{2n} e^{-{\sf D}_\ast n(1+o(1))}$$ as $n\to \infty$, for some explicit universal consta…

Duality pairings with the analytic structure group
Christopher Wulff, Rudolf Zeidler
https://arxiv.org/abs/2506.13703 https://arxiv.o…

Duality pairings with the analytic structure group
We construct a slant product $\mathrm{S}^{G\times H}_p(X\times Y)\otimes \mathrm{K}_{-q}(\bar{\mathfrak{c}}^{\mathrm{red}} Y\rtimes H)\to \mathrm{K}_{p-q}(\mathrm{C}^\ast_G X)$ on the analytic structure group of Higson and Roe and the K-theory of the stable Higson compactification taking values in the (equivariant) Roe algebra. This complements the slant products constructed in earlier work of Engel and the authors ( arXiv:1909.03777 [math.KT] ). The distinguishing feature of our new slant prod…

Unstable $1$-semiadditivity as classifying Goodwillie towers
Connor Malin
https://arxiv.org/abs/2506.11245 https://arxiv.org/pdf/2506…

Unstable $1$-semiadditivity as classifying Goodwillie towers
A stable $\infty$-category is $1$-semiadditive if all norms for finite group actions are equivalences. In the presence of $1$-semiadditivity, Goodwillie calculus simplifies drastically. We introduce two unstable analogs of $1$-semiadditivity for an $\infty$-category $C$ and study their relation to the Goodwillie calculus of functors $C \rightarrow \s(C)$. We demonstrate these qualities are complete obstructions to the problem of endowing $\partial_\ast F$ with either a right module or a divided…

wikipedia_link: Wikipedia links (2016)
Networks of hyperlinks among articles on Wikipedia, for all available languages. A directed edge (i,j) indicates that article i hyperlinks to j.
This network has 83330 nodes and 2095962 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/n…

$\ast$-$\eta$-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…

This https://arxiv.org/abs/2408.04287 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A note on surjective cardinals
For cardinals $\mathfrak{a}$ and $\mathfrak{b}$, we write $\mathfrak{a}=^\ast\mathfrak{b}$ if there are sets $A$ and $B$ of cardinalities $\mathfrak{a}$ and $\mathfrak{b}$, respectively, such that there are partial surjections from $A$ onto $B$ and from $B$ onto $A$. $=^\ast$-equivalence classes are called surjective cardinals. In this article, we show that $\mathsf{ZF}+\mathsf{DC}_κ$, where $κ$ is a fixed aleph, cannot prove that surjective cardinals form a cardinal algebra, which gives a ne…

Es ist wieder die Zeit im Jahr, in der man hinter jeder Ecke mit einer rotzfrechen Bande Rosen rechnen muss, die einem in aller Obszönität ins Gesicht springt.

With the 5th #AAS246 presser come the paper https://arxiv.org/abs/2506.07262 (ALMA-JELLY I: High Resolution CO(2-1) Observations of Ongoing Ram Pressure Stripping in NGC 4858 Reveal Asymmetrical Gas Tail Formation and Fallback), the press release https://news.arizona.edu/news/belly-beast-massive-clumps-reveal-star-factories-bygone-era-cosmos (In the belly of the beast: massive clumps reveal star factories from a bygone era of the cosmos) and the papers https://iopscience.iop.org/article/10.3847/1538-4357/ada8a6 (UNCOVERing the Faint End of the z ∼ 7 [O iii] Luminosity Function with JWST's F410M Medium Bandpass Filter) with the press release https://science.nasa.gov/missions/webb/nasas-webb-uncovers-galaxy-population-driving-cosmic-renovation/ and https://arxiv.org/abs/2505.06198 (The "Dark-Matter Dominated" Galaxy Segue 1 Modeled with a Black Hole and no Dark Halo) with the press release https://www.utsa.edu/today/2025/06/story/researchers-offer-alternative-to-dark-matter-model.html

An AST-guided LLM Approach for SVRF Code Synthesis
Abanoub E. Abdelmalak, Mohamed A. Elsayed, David Abercrombie, Ilhami Torunoglu
https://arxiv.org/abs/2507.00352

An AST-guided LLM Approach for SVRF Code Synthesis
Standard Verification Rule Format (SVRF) is essential for semiconductor applications like Design Rule Check (DRC), Layout Versus Schematic (LVS), and Optical Proximity Correction (OPC) and it faces challenges as advancing nodes create complex design rules that renders traditional SVRF development ineffective and highlight an expertise gap. This paper introduces a novel methodology integrating Abstract Syntax Tree (AST) embedding and Retrieval-Augmented Generation (RAG) for enhanced SVRF code sy…

Doppeltes Glück für Kultkomiker Emil Steinberger, 92 Jahre
https://www.derbund.ch/zuerich-prix-walo-fuer-emil-steinberger-und-florian-ast-365511554558

Zürich: Prix Walo für Emil Steinberger und Florian Ast
Emil Steinberger durfte sich am Galaabend des 49. Prix Walo besonders freuen – er erhielt gleich zwei Preise.

Monogenic functions over real alternative *-algebras: the several hypercomplex variables case
Zhenghua Xu, Chao Ding, Haiyan Wang
https://arxiv.org/abs/2506.08307

Monogenic functions over real alternative *-algebras: the several hypercomplex variables case
The notion of monogenic (or regular) functions, which is a correspondence of holomorphic functions, has been studied extensively in hypercomplex analysis, including quaternionic, octonionic, and Clifford analysis. Recently, the concept of monogenic functions over real alternative $\ast$-algebras has been introduced to unify several classical monogenic functions theories. In this paper, we initiate the study of monogenic functions of several hypercomplex variables over real alternative $\ast$-al…

Das erste Kilo der Johannisbeeren aus dem Garten ist fertig für die weitere Verarbeitung ... (Büsche weiter voll, und auch die Schüssel, in der ich die gepflückten Beeren aufbewahre, ist noch halb voll ...).

In the span of 5 minutes I went from, “I’ll write a #dotnet source generator” to “oh right, noooooooo thanks”.
I really hope there's a much simpler system in the future that's closer to the reflection APIs or something less AST and less string-focused.

This https://arxiv.org/abs/2410.04348 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Explaining the $B_{d(s)} \rightarrow K^{(\ast)}\bar{K}^{(\ast)}$ puzzle via chiral-flip in $R$-parity violating MSSM with seesaw mechanism
We study the non-leptonic puzzle of $B_{d(s)} \rightarrow K^{(\ast)}\bar{K}^{(\ast)}$ decay in the $R$-parity violating minimal supersymmetric standard model (RPV-MSSM) extended with the inverse seesaw mechanism. In this model, the chiral flip of sneutrinos can contribute to the observables $L_{K\bar{K}}$ and $L_{K^{\ast}\bar{K}^{\ast}}$, that is benefit for explaining the relevant puzzle. We also find that this unique effect can engage in the $B_s$-$\bar{B}_s$ mixing. We utilize the scenario o…

Observation of $D^ \to K^0_S\pi^0\mu^ \nu_\mu$, Test of Lepton Flavor Universality and First Angular Analysis of $D^ \to \bar{K}^\ast(892)^0\ell^ \nu_\ell$
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.05761

Observation of $D^+\to K^0_Sπ^0μ^+ν_μ$, Test of Lepton Flavor Universality and First Angular Analysis of $D^+\to \bar{K}^\ast(892)^0\ell^+ν_\ell$
We report a study of the semileptonic decays $D^+\to K_S^0π^0\ell^+ν_\ell$ ($\ell = e, μ$) based on $20.3\,\mathrm{fb}^{-1}$ of $e^+e^-$ collision data collected at the center-of-mass energy of 3.773 GeV with the BESIII detector. The $D^+\to K_S^0π^0μ^+ν_μ$ decay is observed for the first time, with a branching fraction of $(0.896\pm0.017_{\rm stat}\pm0.008_{\rm syst})\%$, and the branching fraction of $D^+\to K_S^0π^0e^+ν_e$ is determined with the improved precision as $(0.943\pm0.0…

At least 13 killed, 46 injured in Russian attacks across Ukraine over past day: https://benborges.xyz/2025/07/12/at-least-killed-injured-in.html

Invertible Complex Measures on Euclidean Spaces
David Berger, Alexander Lindner
https://arxiv.org/abs/2506.09012 https://arxiv.org/pd…

Invertible Complex Measures on Euclidean Spaces
In 1971 Taylor characterised all complex measures on $\mathbb{R}$ that are invertible with respect to convolution as those which can be written in the form $δ_γ\ast σ^{\ast m} \ast \exp(ν)$ for some $γ\in \mathbb{R}$, some complex measure $ν$, some $m\in \mathbb{Z}$ and a given fixed invertible finite signed measure $σ$ (which has characteristic function $\mathbb{R} \ni z \mapsto (1+i z)/(1-i z)$). We extend Taylor's result to complex measures on $\mathbb{R}^n$. Somewhat surprisingly, th…

This https://arxiv.org/abs/2505.07960 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$C^\ast$-categorical prefactorization algebras for superselection sectors and topological order
This paper presents a conceptual and efficient geometric framework to encode the algebraic structures on the category of superselection sectors of an algebraic quantum field theory on the $n$-dimensional lattice $\mathbb{Z}^n$. It is shown that, under certain assumptions which are implied by Haag duality, the monoidal $C^\ast$-categories of localized superselection sectors carry the structure of a locally constant prefactorization algebra over the category of cone-shaped subsets of $\mathbb{Z}^…

This https://arxiv.org/abs/2503.12145 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

New arithmetic properties for overpartitions where nonoverlined parts are $\ell$-regular
In this paper, we study the partition functions $\overline{R_\ell^\ast}(n)$, which count the number of overpartitions of $n$ where the non-overlined parts are $\ell$-regular for a given $\ell$. Using elementary techniques, as well as the theory of modular forms, we establish several new arithmetic properties, including infinite families of congruences for these functions.

Der beste Indikatior dafür, dass ein Hype auf dem absteigenden Ast ist, ist wenn er den Bayern Stand auf der Re:Publica ziert.

Existence and Nonexistence of Extremals for Trudinger-Moser inequalities with $L^p$ type perturbation on any bounded planar domains
Lu Chen, Rou Jiang, Guozhen Lu, Maochun Zhu
https://arxiv.org/abs/2506.23076

Existence and Nonexistence of Extremals for Trudinger-Moser inequalities with $L^p$ type perturbation on any bounded planar domains
In this study, we investigate the perturbed Trudinger-Moser inequalities as follows:\[ S_Ω(λ,p)=\sup_{u\in H_{0}^{1}(Ω),\Vert\nabla u\Vert _{L^{2}\left( Ω\right) }\leq 1}\int_Ω\left( e^{4πu^{2}}-λ|u|^{p}\right) dx, \] where $1\leq p<\infty$ and $Ω$ is a bounded domain in $\mathbb{R}^2$. Our results demonstrate that there exists a threshold $λ^{\ast}(p)>0$ such that $S_Ω(λ,p)$ is attainable if $λ<λ^{\ast}(p)$, but unattainable if $λ>λ^{\ast}(p)$ when $p\in[1,2]$. For $p>…

A Sequential Computation Algorithm for the Center of the Smallest Enclosing Ball
Kenji Nakagawa, Yoshinori Takei
https://arxiv.org/abs/2506.00734 https://

A Sequential Computation Algorithm for the Center of the Smallest Enclosing Ball
In this paper, we consider the problem of finding the center $Q^\ast$ of the SEB (smallest enclosing ball) for $n$ points in $d$-dimensional Euclidean space. One application of the SEB is SVDD (support vector data description) in support vector machines. Our objective is to develop a sequential computation algorithm for determining the barycentric coordinate of $Q^\ast$. To achieve it, we apply the concept of the Arimoto-Blahut algorithm, which is a sequential computation algorithm used to comp…

Schöne #Feierabend-Beschäftigung; dem selbst hochgepumpten💪 Grundwasser beim versickern in die Baumscheibe zugucken 🤗
#Balkonien
#Baumgießen

This https://arxiv.org/abs/2412.20738 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

SgrA* spin and mass estimates through the detection of multiple extremely large mass-ratio inspirals
We analyze the parameter estimation accuracy that can be achieved for the mass and spin of SgrA$^\ast$, the SMBH in our Galactic Center, by detecting multiple extremely large mass-ratio inspirals (XMRIs). XMRIs are formed by brown dwarfs (BD) inspiraling into a supermassive black hole (SMBH), thus emitting gravitational waves (GWs) inside the detection band of future space-based detectors such as LISA and TianQin. Theoretical estimates suggest the presence of approximately 10 XMRIs emitting det…

Improved bounds on the $H$-rank of a mixed graph in terms of the matching number and fractional matching number
Qi Wu, Yong Lu
https://arxiv.org/abs/2507.04728

Improved bounds on the $H$-rank of a mixed graph in terms of the matching number and fractional matching number
A mixed graph $\widetilde{G}$ is obtained by orienting some edges of a graph $G$, where $G$ is the underlying graph of $\widetilde{G}$. Let $r(\widetilde{G})$ be the $H$-rank of $\widetilde{G}$. Denote by $r(G)$, $κ(G)$, $m(G)$ and $m^{\ast}(G)$ the rank, the number of even cycles, the matching number and the fractional matching number of $G$, respectively. Zhou et al. [Discrete Appl. Math. 313 (2022)] proved that $2m(G)-2κ(G)\leq r(G)\leq 2m(G)+ρ(G)$, where $ρ(G)$ is the largest number of …

Hadronic decays of possible pseudoscalar $P$-wave $D\bar{D}^\ast/\bar{D}D^\ast$ molecular state
Shi-Dong Liu, Qi Wu, Gang Li
https://arxiv.org/abs/2506.18273

Hadronic decays of possible pseudoscalar $P$-wave $D\bar{D}^\ast/\bar{D}D^\ast$ molecular state
Recently, the new structure $G(3900)$ observed by the BESIII collaboration in the $e^+e^-\to D\bar{D}$ was identified to be the $P$-wave $D\bar{D}^\ast/\bar{D}D^\ast$ vector molecular resonance using a unified meson exchange model. Apart from the vector $P$-wave state, a possible pseudoscalar $P$-wave molecular state of the $D\bar{D}^\ast/\bar{D}D^\ast$ (called $G_0(3900)$ for short) was also predicted, which is likely to be observed in the future experiments. Within the molecular framework, we…

Blick auf die #Havel irgendwo am Uferweg in Berlin-#Spandau. Hier kann man in aller Ruhe flanieren und der Weg ist auch für #Kinderwagen gut.
Übrigens,

Hybrid CG-Tikhonov as a filtration of the CG Lanczos vectors
Daniel Gerth, Kirk M. Soodhalter
https://arxiv.org/abs/2505.24056 https://

Hybrid CG-Tikhonov as a filtration of the CG Lanczos vectors
We consider iterative methods for solving linear ill-posed problems with compact operator and right-hand side only available via noise-polluted measurements. Conjugate gradients (CG) applied to the normal equations with an appropriate stopping rule and CG applied to the system solving for a Tikhonov-regularized solution (CGT) $(A^\ast A + c I_{\mathcal{X}}) x^{(δ,c)} = A^\ast y^δ$ are closely related methods as build iterates from the same family of Krylov subspaces. In this work, we show t…

🇺🇦 #NowPlaying on KEXP's #ElSonido
Astor Piazzolla:
🎵 Adios Nonino
#AstorPiazzolla
https://ecouter.bandcamp.com/track/astor-piazzolla-adios-nonino
https://open.spotify.com/track/1HUJrtTIKhaP9op37eElIF

Paczka Pythona, której nie idzie zainstalować na Pythonie 3.14, bo autor koniecznie musiał zaimplementować przetwarzanie AST na ponad 200 linii w `setup.py`? Dlaczego nie.
#Gentoo #Python #setuptools

On outer automorphisms of certain graph $C^{*}$-algebras
Swarnendu Datta, Debashish Goswami, Soumalya Joardar
https://arxiv.org/abs/2506.23709 https://

On outer automorphisms of certain graph $C^{*}$-algebras
Given a countable abelian group $A$, we construct a row finite directed graph $Γ(A)$ such that the $K_{0}$-group of the graph $\textrm{C}^{\ast}$-algebra $\textrm{C}^{\ast}(Γ(A))$ is canonically isomorphic to $A$. Moreover, each element of $\textrm {Aut}(A)$ is a lift of an automorphism of the graph $\textrm{C}^{\ast}$-algebra $\textrm{C}^{\ast}(Γ(A))$.

At least 5 killed, 39 injured in Russian attacks against Ukraine over past day: https://benborges.xyz/2025/07/09/at-least-killed-injured-in.html

This https://arxiv.org/abs/2410.18042 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csPL_…

Charon: An Analysis Framework for Rust
With the explosion in popularity of the Rust programming language, a wealth of tools have recently been developed to analyze, verify, and test Rust programs. Alas, the Rust ecosystem remains relatively young, meaning that every one of these tools has had to re-implement difficult, time-consuming machinery to interface with the Rust compiler and its cargo build system, to hook into the Rust compiler's internal representation, and to expose an abstract syntax tree (AST) that is suitable for analy…

An improved example for an autoconvolution inequality
Christopher Boyer, Zane Kun Li
https://arxiv.org/abs/2506.16750 https://arxiv.o…

An improved example for an autoconvolution inequality
We give a nonnegative step function with 575 equally spaced intervals such that $$\frac{\|f \ast f\|_{L^{2}(\mathbb{R})}^{2}}{\|f \ast f\|_{L^{\infty}(\mathbb{R})}\|f \ast f\|_{L^{1}(\mathbb{R})}} \geq 0.901562.$$ This improves upon a recent result of Deepmind's AlphaEvolve who found a nonnegative step function with 50 equally space intervals for which the left hand side is $\geq 0.8962$. Our function was found using gradient based methods rather than using large l…

This https://arxiv.org/abs/2505.22727 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

The galaxy-halo connection of disc galaxies over six orders of magnitude in stellar mass
(Abridged) The relations between stellar ($M_\ast$), gas ($M_{\rm gas}$), baryonic ($M_{\rm bar} = M_\ast + M_{\rm gas}$), and dark matter halo mass ($M_{200}$) provide unique constraints on galaxy formation and cosmology. The shape of the relations constrains how galaxies regulate their growth through gas accretion, star formation, and feedback; their scatter probes the stochasticity of galaxy assembly. Here, we assemble a sample of 49 nearby gas-rich dwarf and massive disc galaxies with unm…

On the dynamics of a semigroup and its relation with the Riemann Hypothesis
Carlos F. \'Alvarez, Juan Manzur
https://arxiv.org/abs/2507.03625 https://

On the dynamics of a semigroup and its relation with the Riemann Hypothesis
The semigroup of weighted composition operators $(W_n)_{n\in \mathbb{N}}$, defined by $$W_nf(z)=(1+z+\cdots +z^n)f(z^n),$$ acts on the classical Hardy-Hilbert space $H^{2}(\mathbb{D})$, and exhibits intriguing connections with both the Riemann Hypothesis (RH) and the Invariant Subspace Problem (ISP). In this paper, we prove that the adjoint operators $W^{\ast}_{n}$, for $n\geq 2$, are Devaney chaotic, frequently hypercyclic and mixing. In particular, these operators are hypercyclic and discuss …

On ordering of surjective cardinals
Guozhen Shen, Wenjie Zhou
https://arxiv.org/abs/2507.04028 https://arxiv.org/pdf/2507.04028

On ordering of surjective cardinals
Let $\mathrm{Card}$ denote the class of cardinals. For all cardinals $\mathfrak{a}$ and $\mathfrak{b}$, $\mathfrak{a}\leqslant\mathfrak{b}$ means that there is an injection from a set of cardinality $\mathfrak{a}$ into a set of cardinality $\mathfrak{b}$, and $\mathfrak{a}\leqslant^\ast\mathfrak{b}$ means that there is a partial surjection from a set of cardinality $\mathfrak{b}$ onto a set of cardinality $\mathfrak{a}$. A doubly ordered set is a triple $\langle P,\preccurlyeq,\preccurlyeq^\ast…

$\Lambda_b \to \Lambda^{(\ast)}\nu\bar{\nu}$ decays and the recent Belle-II $B^ \to K^ \nu\bar{\nu}$ data
Diganta Das, Dargi Shameer, Ria Sain
https://arxiv.org/abs/2507.01863

$Λ_b \to Λ^{(\ast)}ν\barν$ decays and the recent Belle-II $B^+\to K^+ν\barν$ data
The Belle-II experiment has recently reported the first measurement of $B^+ \to K^+ ν\barν$ decay which exceeds the Standard Model prediction by approximately 2.7$σ$. The deviation may indicate the presence of new physics beyond the Standard Model in the $b\to sν\barν$ sector. Under this assumption, we study the hadronic $Λ_b \to Λ(\to pπ)ν\barν$ and $Λ_b \to Λ^\ast(\to N\!\bar{K})ν\barν$ decays within both the Standard Model and beyond. We work in a low energy effective field the…

Auf der Spazierrunde in der #Gartenanlage fällt inzwischen das #Obst auf. Die #Obstblüte ist ja noch gar nicht so lange her. Hier entwickeln sich leckere

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 $H^{n}_{Zar}(X, F_{Zar})=H^{n}_{Nis}(X,F_{Nis})$.

At least 2 killed, 33 injured across Ukraine in Russian attacks over past day: https://benborges.xyz/2025/07/02/at-least-killed-injured-across.html

Growth rate and energy dissipation in wind-forced breaking waves
Nicol\`o Scapin, Jiarong Wu, J. Thomas Farrar, Bertrand Chapron, St\'ephane Popinet, Luc Deike
https://arxiv.org/abs/2506.17802

Growth rate and energy dissipation in wind-forced breaking waves
We investigate the energy growth and dissipation of wind-forced breaking waves using direct numerical simulations of the coupled air-water Navier-Stokes equations. We vary the wind friction velocity over the wave speed $u_\ast/c$ up to 1. A turbulent wind boundary layer drives the growth of a pre-existing narrowband wave field until it breaks and transfers energy into the water column. Under sustained wind forcing, the wave field then resumes growth. We separately analyze energy transfers durin…

This https://arxiv.org/abs/2504.01359 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Monogenic functions over real alternative *-algebras: fundamental results and applications
The concept of monogenic functions over real alternative $\ast$-algebras has recently been introduced to unify several classical monogenic (or regular) functions theories in hypercomplex analysis, including quaternionic, octonionic, and Clifford analysis. This paper explores the fundamental properties of these monogenic functions, focusing on the Cauchy-Pompeiu integral formula and Taylor series expansion in hypercomplex subspaces, among which the non-commutativity and especially non-associativ…

This https://arxiv.org/abs/2503.18031 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$\ast$-$η$-Ricci solitons and Einstein metrics on a weak $β$-Kenmotsu manifold
Weak almost contact manifolds (i.e., the complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor), defined by the author and R. Wolak, allow a new look at the classical theory. An important case of these manifolds, which is locally a twisted or warped product, is a weak $β$-Kenmotsu manifold defined by the author and D.S. Patra. In the paper, the concept of the $*$-Ricci tensor is adapted to weak almost contact manifolds, the interaction of the $*$-$η$…

The galaxy-halo connection of disc galaxies over six orders of magnitude in stellar mass
Pavel E. Mancera Pi\~na, Justin I. Read, Stacy Kim, Antonino Marasco, Jos\'e A. Benavides, Marcin Glowacki, Gabriele Pezzulli, Claudia del P. Lagos
https://arxiv.org/abs/2505.22727

The galaxy-halo connection of disc galaxies over six orders of magnitude in stellar mass
(Abridged) The relations between stellar ($M_\ast$), gas ($M_{\rm gas}$), baryonic ($M_{\rm bar} = M_\ast + M_{\rm gas}$), and dark matter halo mass ($M_{200}$) provide unique constraints on galaxy formation and cosmology. The shape of the relations constrains how galaxies regulate their growth through gas accretion, star formation, and feedback; their scatter probes the stochasticity of galaxy assembly. Here, we assemble a sample of 49 nearby gas-rich dwarf and massive disc galaxies with unm…

Multiple solutions for Schr{\"o}dinger-Poisson-Slater equations with critical growth
Shibo Liu
https://arxiv.org/abs/2507.00295 https://

Multiple solutions for Schr{ö}dinger-Poisson-Slater equations with critical growth
We obtain multiple solutions for the zero mass Schr{ö}dinger-Poisson-Slater equation \[ - Δu + \left( \frac{1}{4 π| x |} \ast u^2 \right) u = λg (x) | u |^{p - 2} u + | u |^{6 - 2} u \text{, \ \ \ \ } u \in \mathcal{D}^{1, 2} (\mathbb{R}^3) \text{} \] for $λ\gg 1$, where $p \in (4, 6)$ and $g \in L^{6 / (6 - p)} (\mathbb{R}^3)$. The crucial (PS)$_c$ condition is verified using a simpler method. Similar multiplicity result is also obtained for related equation …

$CP$ violation of two-body hadronic $\Lambda_b$ decays in the PQCD approach
Jia-Jie Han, Ji-Xin Yu, Ya Li, Hsiang-nan Li, Jian-Peng Wang, Zhen-Jun Xiao, Fu-Sheng Yu
https://arxiv.org/abs/2506.07197

$CP$ violation of two-body hadronic $Λ_b$ decays in the PQCD approach
We systematically investigate the $CP$-averaged branching ratios and $CP$ violations (CPVs) for the two-body hadronic decays $Λ_b\to ph$, where $h$ runs through the mesons $π^-$, $ρ^-$, $a_1^-(1260)$, $K^-$, $K^{\ast -}$, $K_1^-(1270)$ and $K_1^-(1400)$, in the perturbative QCD approach to order $α_s^2$ in the strong coupling. Various topological amplitudes are obtained by incorporating subleading-twist hadron distribution amplitudes, which exhibit reasonable hierarchical patterns, sizable …

A #Python package that can't be installed on Python 3.14, because the author had to implement a 200 line custom AST parser in `setup.py`? Yeah, why not.
#Gentoo #packaging #setuptools

This https://arxiv.org/abs/2304.05500 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rigidity for von Neumann algebras of graph product groups II. Superrigidity results
In \cite{CDD22} we investigated the structure of $\ast$-isomorphisms between von Neumann algebras $L(Γ)$ associated with graph product groups $Γ$ of flower-shaped graphs and property (T) wreath-like product vertex groups as in \cite{CIOS21}. In this follow-up we continue the structural study of these algebras by establishing that these graph product groups $Γ$ are entirely recognizable from the category of all von Neumann algebras arising from an arbitrary non-trivial graph product group wit…

Iterated jump noncomputability and compactness
Gavin Dooley
https://arxiv.org/abs/2506.20620 https://arxiv.org/pdf/2506.20620

Iterated jump noncomputability and compactness
We use reverse mathematics to analyze "iterated jump" versions of the following four principles: the atomic model theorem with subenumerable types (AST), the diagonally noncomputable principle (DNR), weak weak Kőnig's lemma (WWKL), and weak Kőnig's lemma (WKL). The logical relationships between these principles are summarized in Figure 1 and include, among other things, an infinite chain and an infinite antichain, the latter of which represents a strong form of non-linearity in terms of prova…

Evolution models with time-dependent coefficients in friction and viscoelastic damping terms
Halit Sevki Aslan
https://arxiv.org/abs/2506.24058 https://

Evolution models with time-dependent coefficients in friction and viscoelastic damping terms
We study the following Cauchy problem for the linear wave equation with both time-dependent friction and time-dependent viscoelastic damping: \begin{equation} \label{EqAbstract}\tag{$\ast$} \begin{cases} u_{tt}- Δu + b(t)u_t - g(t)Δu_t=0, &(t,x) \in (0,\infty) \times \mathbb{R}^n, \\ u(0,x)= u_0(x),\quad u_t(0,x)= u_1(x), &x \in \mathbb{R}^n. \end{cases} \end{equation} Our goal is to derive decay estimates for higher order energy norms of solutions to this problem. We focus on the interplay b…

Investigating New Physics through the Observables of Semileptonic $B_{s}\to K^{\ast}(\to K \pi)\mu^{ }\mu^{-}$ Decay
Zohaib Aarfi, Qazi Maaz Us Salam, Ishtiaq Ahmed, Faisal Munir Bhutta, Rizwan Khalid, M. Ali Paracha
https://arxiv.org/abs/2506.20446

Investigating New Physics through the Observables of Semileptonic $B_{s}\to K^{\ast}(\to K π)μ^{+}μ^{-}$ Decay
The rare four-fold decay $B_s \to K^*(\to Kπ)μ^+μ^- $, governed by the flavor-changing neutral current transition $b \to dμ^+μ^-$, provides a sensitive probe for testing the Standard Model (SM) and investigating signatures of new physics (NP). This work presents a comprehensive model-independent analysis of the decay using the framework of the weak effective field theory. We compute a set of key physical observables, including the differential branching ratio, forward-backward asymmetry, l…

This https://arxiv.org/abs/2505.01329 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Semileptonic Decays of $D \to ρl^+ ν$ and $D_{(s)} \to K^\ast l^+ ν$ from Light-Cone Sum Rules
We investigate the semileptonic decays of charmed mesons to light vector mesons within the framework of light-cone sum rules. Our calculation is performed at leading order in QCD coupling, incorporating contributions up to twist-five accuracy from both two-particle and three-particle light-cone distribution amplitudes. Transition form factors are predicted twist by twist to assess the convergence property of the operator product expansion. It is verified that the twist-four and twist-five contr…

Quantum Wasserstein distances for quantum permutation groups
Anshu, David Jekel, Therese Basa Landry
https://arxiv.org/abs/2505.19269 https://

Quantum Wasserstein distances for quantum permutation groups
We seek an analog for the quantum permutation group $S_n^+$ of the normalized Hamming distance for permutations. We define three distances on the tracial state space of $C(S_n^+)$ that generalize the $L^1$-Wasserstein distance of probability measures on $S_n$ equipped with the normalized Hamming metric, for which we demonstrate basic metric properties, subadditivity under convolution, and density of the Lipschitz elements in the $\mathrm{C}^{\ast}$-algebra.

SCET sum rules for $\Lambda_b \to \Lambda \ell^ \ell^-$, $\Lambda \gamma$ decays
Long-Shun Lu, Cai-Dian L\"u, Yue-Long Shen, Yan-Bing Wei
https://arxiv.org/abs/2506.21419

SCET sum rules for $Λ_b$ $\rightarrow$ $Λ\ell^+\ell^-$, $Λγ$ decays
We construct light-cone sum rules for various types of effective form factors in the $Λ_b \to Λ\ell^+\ell^-$ and $Λ_b \to Λγ$ decays by analyzing vacuum-to-$Λ_b$ (or $γ^\ast$-to-$Λ_b$) correlation functions with the light $Λ$-baryon interpolating current. These form factors, defined via hadronic matrix elements within soft-collinear effective theory (SCET), enter the next-to-leading-power QCD factorization formulas for large-recoil transitions. Implementing the perturbative matching fr…