Tootfinder

Locally similar distances and equality of the induced intrinsic distances
Erick Lee-Guzm\'an, Egor A. Maximenko, Enrique Abdeel Mu\~noz-de-la-Colina, Marco Iv\'an Ruiz-Carmona
https://arxiv.org/abs/2510.05574

Locally similar distances and equality of the induced intrinsic distances
Let $X$ be a set and $d_1,d_2$ be two distances on $X$. We say that $d_1$ and $d_2$ are locally similar and write $d_1\cong d_2$, if $d_1$ and $d_2$ are topologically equivalent and for every $a$ in $X$, \[ \lim_{x\to a} \frac{d_2(x,a)}{d_1(x,a)}=1. \] We prove that if $d_1\cong d_2$, then the intrinsic distances induced by $d_1$ and $d_2$ are equal. We also provide some sufficient conditions for $d_1\cong d_2$ and consider several examples related to reproducing kernel Hilbert spaces.

Exceptional sets for restricted families of projections in $\mathbb{F}_q^d$
Doowon Koh, Thang Pham, Le Quang Hung, Do Trong Hoang, Le Quang Ham
https://arxiv.org/abs/2510.05522 …

Exceptional sets for restricted families of projections in $\mathbb{F}_q^d$
Let $d\ge3$ and $\mathbb{F}_q^{d}$ be the $d$-dimensional vector space over a finite field of order $q$, where $q$ is a prime power. Fix a slice $π=\{x_d=λ\}$ of the unit sphere $S^{d-1}=\{x\colon ||x||=1\}$ and let $X_π$ be the set of lines through the origin meeting $π\cap S^{d-1}$. For $E\subset\mathbb{F}_q^{d}$ and $N\ge1$, we study the exceptional sets \[ \mathcal{T}_1(X_π,E,N)=\bigl\{V\in X_π:\ |π_V(E)|\le N\bigr\},\qquad \mathcal{T}_2(X_π,E,N)=\bigl\…

Generalised Joyal disks and $\Theta_d$-colored $(d 1)$-operads
Boris Shoikhet
https://arxiv.org/abs/2510.05813 https://arxiv.org/pdf/2510.05813

Generalised Joyal disks and $Θ_d$-colored $(d+1)$-operads
In this paper, we propose a method for constructing a colored $(d+1)$-operad $\mathbf{seq}_d$ in $\mathrm{Sets}$, in the sense of Batanin [Ba1,2], whose category of colors (=the category of unary operations) is the category $Θ_d$, dual to the Joyal category of $d$-disks [J], [Be2,3]. For $d=1$ it is the Tamarkin $Δ$-colored 2-operad $\mathbf{seq}$, playing an important role in his paper [T3] and in the solution loc.cit. to the Deligne conjecture for Hochschild cochains. We expect that for hig…

Mic'd Up: Shane Steichen, Week 5 vs Raiders https://www.colts.com/video/mic-d-up-shane-steichen-week-5-vs-raiders

Wir suchen in unserer Abteilung Verstärkung im #Java-Umfeld: coole Kolleg*innen, sicheres Umfeld, Möglichkeit etwas zu bewegen.
Meldet euch gerne bei Fragen bei mir. Würde mich über nicht-männliche Kolleg*innen besonders freuen!
Java Software Developer (m/w/d) | ÖRAG Rechtsschutzversicherung

Plans for D.C.-New York high-speed maglev train are dead
The Federal Railroad Administration has withdrawn support for a high-speed train project from D.C. to Baltimore,
saying conflicts over federal property and protected wildlife in the path of the proposed rail line are insurmountable.

The maglev train was supposed to be the first leg of a route connecting D.C. to New York City in under an hour.
It would use powerful magnetic forces that lift and propel trains ab…

Plans for D.C.-New York high-speed maglev train are dead for now
Gov. Wes Moore (D) expressed enthusiasm for the maglev train from D.C. to Baltimore, as did his Republican predecessor. The Trump administration is opposed.

Toronto-based Blue J, which provides AI-powered tax research software, raised a $122M Series D led by Oak HC/FT and Sapphire Ventures at a $300M valuation (Alex Riehl/BetaKit)
https://betakit.com/blue-j-series-d-after-doubling-revenue/

Blue J raises $167.4-million CAD Series D after AI tax research platform more than doubles its revenue
Funding to bolster Toronto startup’s team expansion, product development, and market reach.

Topology of the space of $d$-pleated surfaces
Sara Maloni, Giuseppe Martone, Filippo Mazzoli, Tengren Zhang
https://arxiv.org/abs/2508.04813 https://arxiv.…

Topology of the space of $d$-pleated surfaces
Given a maximal geodesic lamination $λ$ on a closed oriented surface $S$ of genus $g$, the space of $d$-pleated surfaces with pleating locus $λ$ is an open subset of $\mathrm{Hom}(π_1(S),\mathsf{PGL}_d(\mathbb{C}))$ obtained by applying generalized bending along $λ$ to Hitchin representations. When $d=2$, one recovers abstract pleated surfaces in $\mathbb{H}^3$. In this paper, we study the topology of the space $\mathfrak{R}(λ,d)$ of conjugacy classes of $d$-pleated surfaces with pleating …

Science Lab: The Houston variable, Cowboys' D-line awakened? https://www.dallascowboys.com/news/science-lab-the-houston-variable-cowboys-d-line-awakened

Why do the D's in Congress talk about "negotiating" the continuing resolution and ending the federal shutdown?
What is there to talk about?
From the D perspective should not the health care demands be a non-negotiable red line?
Personally I don't believe the D's should worry whether the shutdown extends until the end of el-cheeto's terms. Cheeto will ignore any negotiated limits or obligations and will simply declare "emergencies" and ta…

Bears vs. Vikings anytime TD props, odds, predictions: Back D.J. Moore in Week 1 Monday Night Football bets

https://www.cbssports.com/betting/news/bea

Criterion for the Existence of the $G(3900)$ Resonance
Yin Huang, Xurong Chen
https://arxiv.org/abs/2509.06353 https://arxiv.org/pdf/2509.06353

Criterion for the Existence of the $G(3900)$ Resonance
About 18 years ago, the BABAR and the Belle Collaborations reported evidence for a new $c\bar{c}$ structure near $3900~\mathrm{MeV}$ in $e^{+}e^{-} \to D\bar{D}$, triggering debate over whether it represents a genuine hadronic state or arises from interference effects and the opening of the $D^{*}\bar{D}$ threshold. The issue remained unsettled until 2024, when BESIII, with an enlarged $e^{+}e^{-} \to D\bar{D}$ sample, confirmed the presence of the $G(3900)$ structure, reviving discussion of it…

#Blakes7 Series D, Episode 11 - Orbit
VILA: I'd have given odds Egrorian'd try to pull something! What's the escape velocity of this thing?
AVON: I don't know. Why don't you ask Orac?
VILA: Eh? [Avon opens panel, revealing Orac on the shuttle]
[Biodome]

Construction of PPT entangled state and its detection by using second-order moment of the partial transposition
Rohit Kumar, Satyabrata Adhikari
https://arxiv.org/abs/2509.06565

Construction of PPT entangled state and its detection by using second-order moment of the partial transposition
In this work, we adopt a formalism by which we construct a new family of positive partial transpose (PPT) states, which includes separable and PPT entangled states (PPTES) in a $d_{1}\otimes d_{2}$ dimensional system and then derive a condition that can distinguish between them. The PPT condition is expressed in terms of the inequality between the second-order moment of the system's partial transposition $(p_2)$ and the reciprocal of the product of $d_{1}$ and $d_{2}$. The second order moment $…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Militarie Gun:
🎵 B-A-D-I-D-E-A
#MilitarieGun
https://militariegun.bandcamp.com/track/b-a-d-i-d-e-a
https://open.spotify.com/track/5qDvHAFgbVJrGkBb7sJM07

Triple convolution sums of the generalised divisor functions
Bikram Misra, Biswajyoti Saha
https://arxiv.org/abs/2509.04610 https://arxiv.org/pdf/2509.0461…

Triple convolution sums of the generalised divisor functions
We study the triple convolution sum of the generalised divisor functions given by $$\sum_{n\leq x} d_k(n+h)d_l(n)d_m(n-h),$$ where $h \le x^{1-ε}$ for any $ε>0$ and $d_k(n)$ denotes the generalised divisor function which counts the number of ways $n$ can be written as product of $k$ many positive integers. The purpose of this paper is two-fold. Firstly, we note a predicted asymptotic estimate for the above sum, where the constant appearing in the estimate can be obtained from the theory of Di…

Maison Latour : l'amour et la vie d’une femme
Sur Chantal Latour et la maison des Latour Š Paris.
https://www.radiofrance.fr/franceculture/podcasts/l-experience/maison-latour-l-amour-et-la-vie-d-une-femme-5477050…

Maison Latour : l'amour et la vie d’une femme
Après le décès du philosophe Bruno Latour, Antoine Couder nous entraîne dans l'appartement parisien où il a forgé l’essentiel de ses textes sur Gaïa et la nouvelle écologie. Rencontre avec son épouse Chantal avec qui cette pensée a pris une forme aussi singulière qu’inespérée.

Concentration and non-concentration of eigenfunctions of second-order elliptic operators with a divergence form in layered media
Matania Ben-Artzi (HUJ), Yves Dermenjian (I2M)
https://arxiv.org/abs/2509.06352

Concentration and non-concentration of eigenfunctions of second-order elliptic operators with a divergence form in layered media
Let $Ω$ ' $\subset$ R^d , d = 1, 2, . . . be an open bounded smooth domain, and $Ω= Ω'\times (0,H)\subset \mathbb{R}^d \times \mathbb\_+.$ The coordinates in $Ω$ are designated as x = (x ' , y) $\in$ $Ω$ ' x (0, H). The paper deals with the concentration (and non-concentration) properties (in sectors of $Ω$) of the eigenfunctions of the self-adjoint second-order elliptic operator $A = -\nabla\cdot\tilde{c}\nabla$ in $L^2(Ω,dx)$ with domain $D(A) = \{v\in H\_0^1(Ω); \tilde{c}\nabla v…

Tient #hugops a ceux qui sont sur le pont.

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When I was young, it seemed that life was so wonderful,
a miracle, oh it was beautiful, magical.
And all the birds in the trees, well they'd be singing so happily,
oh joyfully, oh playfully watching me.
But then they send me away to teach me how to be sensible,
logical, oh responsible, practical.
And then they showed me a world where I could be so dependable,
oh clinical, oh intellectual, cynical.
I was 10 when i first heard Supertramp & The L…

Podemos's maximalist posture is preventing Spain enacting an arms embargo on Israel. Other parties (Sumar, ERC) agree it's inadequate but say they can then work to strengthen it, e.g. with surveillance at ports.
Un embargo de armas como respuesta a un genocidio

Un embargo de armas como respuesta a un genocidio
El decreto del embargo de armas a Israel recibirá el apoyo de los socios del Gobierno, pero Podemos se niega en el pleno a garantizar su aprobación por considerarlo falso e insuficiente. Álvarez de Toledo utiliza hechos desacreditados sobre el ataque de Hamás en 2023 para atacar al Gobierno

All of which is the work of either the National Park Service or the D.C. parks department.
Of course, Trump & DOGE fired a bunch of Park Service folks and Congress has been playing games with the D.C. budget, so I guess it gave the Guard something to do. https://bird.makeup/users/macfarlanene

Quasi ein Nachtrag zu unserem Gespräch bei #9vor9: @… Chef Alexander Pockrandt im Interview #D.Digital: 160.000 Verträge für

Interior Spectral Windows and Transport for Discrete Fractional Laplacians on $d$-Dimensional Hypercubic Lattices
Nassim Athmouni
https://arxiv.org/abs/2509.06117 https://

Interior Spectral Windows and Transport for Discrete Fractional Laplacians on $d$-Dimensional Hypercubic Lattices
We study anisotropic fractional discrete Laplacians $Δ_{\mathbb{Z}^d}^{\vec{\mathbf{r}}}$ with exponents $\vec{\mathbf{r}}\in\mathbb{R}^d\setminus\{0\}$ on $\ell^2(\mathbb{Z}^d)$. We establish a Mourre estimate on compact energy intervals away from thresholds. As consequences we derive a Limiting Absorption Principle in weighted spaces, propagation estimates (minimal velocity and local decay), and the existence and completeness of local wave operators for perturbations $H=Δ_{\mathbb{Z}^d}^{\v…

A11yShape: AI-Assisted 3-D Modeling for Blind and Low-Vision Programmers
Zhuohao (Jerry), Zhang, Haichang Li, Chun Meng Yu, Faraz Faruqi, Junan Xie, Gene S-H Kim, Mingming Fan, Angus G. Forbes, Jacob O. Wobbrock, Anhong Guo, Liang He
https://arxiv.org/abs/2508.03852

A11yShape: AI-Assisted 3-D Modeling for Blind and Low-Vision Programmers
Building 3-D models is challenging for blind and low-vision (BLV) users due to the inherent complexity of 3-D models and the lack of support for non-visual interaction in existing tools. To address this issue, we introduce A11yShape, a novel system designed to help BLV users who possess basic programming skills understand, modify, and iterate on 3-D models. A11yShape leverages LLMs and integrates with OpenSCAD, a popular open-source editor that generates 3-D models from code. Key functionalitie…

K'Lavon Chaisson Mic'd Up for 2025 Home Opener https://www.patriots.com/video/k-lavon-chaisson-mic-d-up-for-2025-home-opener

SN 2021tsz: A luminous, short photospheric phase Type II supernova in a low-metallicity host
R. Dastidar, G. Pignata, N. Dukiya, K. Misra, D. A. Howell, M. Singh, C. P. Guti\'errez, C. Pellegrino, A. Kumar, B. Ayala, A. Gangopadhyay, M. Newsome, E. Padilla Gonzalez, K. A. Bostroem, D. Hiramatsu, G. Terreran, C. McCully
https://arxiv.or…

SN 2021tsz: A luminous, short photospheric phase Type II supernova in a low-metallicity host
We present the analysis of the luminous Type II Supernova (SN) 2021tsz, which exploded in a low-luminosity galaxy. It reached a peak magnitude of -18.88 $\pm$ 0.13 mag in the $r$ band and exhibited an initial rapid decline of 4.05 $\pm$ 0.14 mag (100 d)$^{-1}$ from peak luminosity till $\sim$30 d. The photospheric phase is short, with the SN displaying bluer colours and a weak H$α$ absorption component--features consistent with other luminous, short-photospheric phase Type II SNe. A distinct t…

Le trafic est interrompu entre Campo-Formio et Place d'Italie en raison d'un bagage oublié dans un train Š Place d'Italie.
Heure de reprise estimée : 14:00.
Veuillez emprunter des itinéraires alternatifs et vous rapprocher de nos agents.
🤖 08/08 13:26

Crosschecking Cosmic Distances from DESI BAO and DES SNe Points to Systematics
Mauricio Lopez-Hernandez, Eoin \'O Colg\'ain, Saeed Pourojaghi, M. M. Sheikh-Jabbari
https://arxiv.org/abs/2510.04179

Crosschecking Cosmic Distances from DESI BAO and DES SNe Points to Systematics
We perform a consistency check of DESI DR2 BAO constraints ($D_M/r_d, D_H/r_d)$ by reconstructing the same quantities from DES supernovae (SNe) in bins with the same effective redshift $z_{\textrm{eff}}$. We find that the ratio of $D_M/r_d$ values are consistent with a horizontal, thus confirming that the distance duality relation holds up to calibration. However, the $D_H/r_d$ ratio shows a decreasing trend with $z_{\textrm{eff}}$ at $2.3 σ$ to $2.5 σ$ that cannot be explained by physics. We…

D-HUMOR: Dark Humor Understanding via Multimodal Open-ended Reasoning
Sai Kartheek Reddy Kasu, Mohammad Zia Ur Rehman, Shahid Shafi Dar, Rishi Bharat Junghare, Dhanvin Sanjay Namboodiri, Nagendra Kumar
https://arxiv.org/abs/2509.06771

D-HUMOR: Dark Humor Understanding via Multimodal Open-ended Reasoning
Dark humor in online memes poses unique challenges due to its reliance on implicit, sensitive, and culturally contextual cues. To address the lack of resources and methods for detecting dark humor in multimodal content, we introduce a novel dataset of 4,379 Reddit memes annotated for dark humor, target category (gender, mental health, violence, race, disability, and other), and a three-level intensity rating (mild, moderate, severe). Building on this resource, we propose a reasoning-augmented f…

First Measurement of the $D_s^ \rightarrow K^0\mu^ \nu_{\mu}$ Decay
BESIII Collaboration, et al.
https://arxiv.org/abs/2510.05904 https://arxiv.org/pdf/251…

First Measurement of the $D_s^+\rightarrow K^0μ^+ν_μ$ Decay
We report the first measurement of the semileptonic decay $D^+_s \rightarrow K^0μ^+ν_μ$, using a sample of $e^+e^-$ annihilation data corresponding to an integrated luminosity of $7.33~\mathrm{fb}^{-1}$ collected at center-of-mass energies between 4.128 to 4.226~GeV with the BESIII detector at the BEPCII collider. The branching fraction of the decay is measured to be $\mathcal{B}(D^+_s\rightarrow K^0μ^+ν_μ) = (2.89 \pm 0.27_{\rm stat} \pm 0.12_{\rm syst})\times 10^{-3}$, where the first u…

Comprehensive Restriction Algorithm for Hypergeometric Systems
Hiromasa Nakayama, Nobuki Takayama
https://arxiv.org/abs/2510.05104 https://arxiv.org/pdf/25…

Comprehensive Restriction Algorithm for Hypergeometric Systems
An algorithm computing the restriction of a holonomic D-module to a linear subspace was given by T.Oaku in 1997. We consider a problem of computing the restriction for a given holonomic D-module with parameters. We will give a partial answer to the problem for general holonomic D-modules and an answer to hypergeometric holonomic D-modules.

Bohr-Sommerfeld Quantization Rules for 1-D Semiclassical Pseudo-Differential Operator: the Method of Microlocal Wronskian and Gram Matrix
Abdelwaheb Ifa
https://arxiv.org/abs/2508.05586

Bohr-Sommerfeld Quantization Rules for 1-D Semiclassical Pseudo-Differential Operator: the Method of Microlocal Wronskian and Gram Matrix
In this paper, we revisit the well known Bohr-Sommerfeld quantization rule (BS) of order 2 for a self-adjoint 1-D semiclassical pseudo-differential operator, within the algebraic and microlocal framework of B. Helffer and J. Sjöstrand. BS holds precisely when the Gram matrix consisting of scalar products of certain WKB solutions with respect to the "flux norm" is not invertible. This condition is obtained using the microlocal Wronskian and does not rely on traditional matching techniques. It i…

🔊 #NowPlaying on #BBCRadio3:
#NewMusicShow
- Music We'd Like to Hear
Tom Service presents exclusive recordings from the Music We'd Like to Hear London concert series, as well as the latest new music releases and recordings from Glasgow and Bergen.
Relisten now 👇
https://www.bbc.co.uk/programmes/m002gryw

Jeg vil gerne lige gŸre opmærksom på dette nyhedsbrev fra min kære kone: https://mailchi.mp/cc218d0a396e/poesi-er-ikke-det-vrste-man-kan-udsttes-for
Ikke mindst fordi vi d.d. har været gift i 17 år 💞

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over $\mathbb R^d$?
Iosif Pinelis
https://arxiv.org/abs/2510.04269

Does the Convex Order Between the Distributions of Linear Functionals Imply the Convex Order Between the Probability Distributions Over $\mathbb R^d$?
It is shown that the convex order between the distributions of linear functionals does not imply the convex order between the probability distributions over $\mathbb R^d$ if $d\ge2$. This stands in contrast with the well-known fact that any probability distribution in $\mathbb R^d$, for any $d\ge1$, is determined by the corresponding distributions of linear functionals. By duality, it follows that, for any $d\ge2$, not all convex functions from $\mathbb R^d$ to $\mathbb R$ can be represented as…

The only Irish learning app I really need is Mastodon 💖
https://mastodon.online/@caoimhin/115343150517678972

Computing the Elementary Symmetric Polynomials in Positive Characteristics
Ian Orzel
https://arxiv.org/abs/2509.05009 https://arxiv.org/pdf/2509.05009

Computing the Elementary Symmetric Polynomials in Positive Characteristics
We first extend the results of CKSV22 by showing that the degree $d$ elementary symmetric polynomials in $n$ variables have formula lower bounds of $Ω(d(n-d))$ over fields of positive characteristic. Then, we show that the results of the universality of the symmetric model from Shp02 and the results about border fan-in two $ΣΠΣ$ circuits from Kum20 over zero characteristic fields do not extend to fields of positive characteristic. In particular, we show that 1.There are polynomials that …

Maximum in-general-position set in a random subset of $\mathbb{F}^d_q$
Yaobin Chen, Jiaxi Nie, Jing Yu, Wentao Zhang
https://arxiv.org/abs/2509.06403 https://

Maximum in-general-position set in a random subset of $\mathbb{F}^d_q$
Let $α(\mathbb{F}_q^{d},p)$ be the maximum possible size of a point set in general position in a $p$-random subset of $\mathbb{F}_q^d$. We determine the order of magnitude of $α(\mathbb{F}_q^{d},p)$ up to a polylogarithmic factor by proving the balanced supersaturation conjecture of Balogh and Luo. Our result also resolves a conjecture implicitly posed by the first author, Liu, the second author and Zeng. In the course of our proof, we establish a lemma that demonstrates a ``structure vs. ran…

Ob der Zugbegleiter im TGV von Frankfurt nach Marseille extra für die deutschen Touris kurz vor Avignon die Melodie von 🎶 Sur le pont d'Avignon 🎶 vom Handy ins Mikro gespielt hat, zur Ankündigung, dass wir da gleich sind?
Dagegen spricht, dass er dann zügigst Französisch dazu erklärte "On est ni a New York, ni a Boston, on arrive a Avignon!"

Riesig, riesiger, China's Windturbine! 🌬️ Mit einem Rotordurchmesser von über 310 Metern übertrifft sie den bisherigen Spitzenreiter von Siemens Gamesa deutlich.
Zum Artikel: https://heise.de/-10512757?wt_mc=sm.red.ho.mastodo…

Le trafic est ralenti de Javel vers Juvisy.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne d'un train (vérifications techniques en cours du train ELAO dans le secteur de Javel).
🤖 09/10 17:54

Additive properties and absorption laws for generalized inverses
Yukun Zhou, Jianlong Chen, Nestor Thome
https://arxiv.org/abs/2508.04363 https://arxiv.org…

Additive properties and absorption laws for generalized inverses
Let $a,~f$ be elements in a ring with pseudo core inverses $a^{\scriptsize\textcircled{\tiny D}}$, $f^{\scriptsize\textcircled{\tiny D}}$, and let $b=f-a$. We prove that the absorption law $a^{\scriptsize\textcircled{\tiny D}}(a+f)f^{\scriptsize\textcircled{\tiny D}}=a^{\scriptsize\textcircled{\tiny D}}+f^{\scriptsize\textcircled{\tiny D}}$ holds if and only if $1+a^{\scriptsize\textcircled{\tiny D}}b$ is invertible and the additive property $f^{\scriptsize\textcircled{\tiny D}}=(1+a^{\scriptsi…

her, poking my breast: "is this D-cup? i don't know how cup sizes work"
me: "... it might be more than a D-cup"
her: "Well done!"

Abnormal boundary decay for the fractional Laplacian
Soobin Cho, Renming Song
https://arxiv.org/abs/2510.03961 https://arxiv.org/pdf/2510.03961

Abnormal boundary decay for the fractional Laplacian
In this paper, we show that, for $α\in (0,2)$, the $C^{1, \rm Dini}$ regularity assumption on an open set $D\subset \mathbb R^d$ is optimal for the standard boundary decay property for nonnegative $α$-harmonic functions in $D$ and for the standard boundary decay property of the heat kernel $p^D(t,x,y)$ of the Dirichlet fractional Laplacian $Δ^{α/2}|_D$ by proving the following: (i) If $D$ is a $C^{1, \rm Dini}$ open set and $h$ is a non-negative function which is $α$-harmonic in $D$ a…

Leute, ab in die Stadien der #ErimaGFL zum #AmericanFootball! Grüße aus D-Dorf aus dem #Panther Gehege - ich würde es den

gibt es irgendwo detlef d! soost fan shirts zu kaufen

Le trafic est perturbé entre Châtillon-Montrouge et Porte de Vanves en raison d'un incident d'exploitation Š Châtillon-Montrouge.
🤖 08/09 07:28

Les Français majoritairement favorables aux énergies renouvelables, y compris parmi les électeurs de droite et d’extrême droite
> Une enquête d’opinion, portant sur un panel de 12 000 personnes, montre une dichotomie entre les positions des hommes politiques et les attentes des citoyens en matière d’énergie.

Les Français majoritairement favorables aux énergies renouvelables, même parmi les électeurs de droite et d’extrême droite
Une enquête d’opinion, portant sur un panel de 12 000 personnes, montre une dichotomie entre les positions des hommes politiques et les attentes des citoyens en matière d’énergie.

@… @… sounds about right :D one was my partner’s name and the other was for our wedding

Classification of silted algebras for two quivers of Dynkin type $\mathbb{D}_{n}$
Houjun Zhang
https://arxiv.org/abs/2509.05906 https://arxiv.org/pdf/2509.…

Classification of silted algebras for two quivers of Dynkin type $\mathbb{D}_{n}$
Let $Q$ be the Dynkin quiver of type $\mathbb{D}_{n}$ with linear orientation and let $Q'$ be the quiver formed by reversing the arrow at the unique source in $Q$. In this paper, we present a complete classification of both silted algebras and strictly shod algebras associated with these two quivers. Based on the classification, we derive formulas for counting the number of silted algebras and strictly shod algebras. Furthermore, we establish that all strictly shod algebras corresponding to $…

Governing AI R&D: A Legal Framework for Constraining Dangerous AI
Alex Mark, Aaron Scher
https://arxiv.org/abs/2509.05361 https://arxiv.org/pdf/2509.05…

Governing AI R&D: A Legal Framework for Constraining Dangerous AI
As AI advances, governing its development may become paramount to public safety. Lawmakers may seek to restrict the development and release of AI models or of AI research itself. These governance actions could trigger legal challenges that invalidate the actions, so lawmakers should consider these challenges ahead of time. We investigate three classes of potential litigation risk for AI regulation in the U.S.: the First Amendment, administrative law, and the Fourteenth Amendment. We discuss exi…

Un train stationne Š Porte de Montreuil vers Pont de Sèvres en raison d'un incident d'exploitation .
🤖 09/08 15:55

Extreme values of class group $L$-functions
Jo\~ao Campos-Vargas
https://arxiv.org/abs/2509.05473 https://arxiv.org/pdf/2509.05473

Extreme values of class group $L$-functions
We give a lower bound for the maximum value of class group $L$-functions attached to $\mathbb{Q}(\sqrt{-D})$ at the central point and show that this value is on average at least $$\exp\Bigg(δ\sqrt{\frac{\log D \log \log \log D}{\log \log D}} \Bigg)$$ for any $δ< \frac{1}{4}$.

Raiders Preseason: Overreacting to Run Game, O-Line, and New-Look D https://raiderramble.com/2025/08/09/raiders-preseason-overreacting-to-run-game-o-line-and-new-look-d/

Redicoloring some classes of circulant tournaments
Narda Cordero-Michel, Mika Olsen
https://arxiv.org/abs/2510.04990 https://arxiv.org/pdf/2510.04990

Redicoloring some classes of circulant tournaments
Given a digraph $D$ with no loops, the \textit{dicoloring graph} of $D$, denoted by $\mathcal{D}_k(D)$, is the graph whose vertices are the acyclic $k$-colorings of $D$ and two colorings are adjacent in $\mathcal{D}_k(D)$ if they differ in color on exactly one vertex. In this paper, we prove that there is no expression $ϕ(\vecχ)$ in terms of the dichromatic number $\vecχ$, such that the graph $\mathcal{D}_k(D)$ is connected for all graphs $D$ and integers $k\geq ϕ(\vecχ)$. We give conditio…

Logarithmic jets and the chiral de Rham complex of a pair
Emile Bouaziz
https://arxiv.org/abs/2510.04515 https://arxiv.org/pdf/2510.04515

Logarithmic jets and the chiral de Rham complex of a pair
To a smooth variety $X$ with simple normal crossings divisor $D$, we associate a sheaf of vertex algebras on $X$, denoted $Ω^{ch}_{X}(\operatorname{log}D)$, whose conformal weight $0$ subspace is the algebra $Ω_{X}(\operatorname{log}D)$ of forms with log poles along $D$. We prove various basic structural results about $Ω^{ch}_{X}(\operatorname{log}D)$. In particular, if $X^{*}=X\setminus D$ has a volume form then we show that $Ω^{ch}_{X}(\operatorname{log}D)$ admits a topological structure …

Trump’s federal takeover of Washington, D.C., may have helped Republican congressman
Cory Lee Mills
get off scot-free after he allegedly assaulted a woman. 
In February, D.C.’s Metropolitan Police Department arrived at Mills’s luxury penthouse on the Wharf in response to a call about a domestic disturbance.
There they found Mills’s “significant other” of a year, 27, “physically shaking and scared,” according to a police report.
Mills and his wife, Rana Al Saadi,…

D.C. Police Stops Investigating GOP Congressman as Trump Takes Over
The Metropolitan Police Department has closed its investigation into a Republican congressman accused of assault.

Validation of the DESI-DR1 3x2-pt analysis: scale cut and shear ratio tests
N. Emas, A. Porredon, C. Blake, J. DeRose, J. Aguilar, S. Ahlen, D. Bianchi, D. Brooks, F. J. Castander, T. Claybaugh, A. Cuceu, A. de la Macorra, A. Dey, B. Dey, P. Doel, S. Ferraro, J. E. Forero-Romero, C. Garcia-Quintero, E. Gazta\~naga, S. Gontcho A Gontcho, G. Gutierrez, S. Heydenreich, K. Honscheid, D. Huterer, M. Ishak, S. Joudaki, R. Joyce, E. Jullo, S. Juneau, R. Kehoe, D. Kirkby, T. Kisner, A. Kremin,…

Validation of the DESI-DR1 3x2-pt analysis: scale cut and shear ratio tests
Combined survey analyses of galaxy clustering and weak gravitational lensing (3x2-pt studies) will allow new and accurate tests of the standard cosmological model. However, careful validation is necessary to ensure that these cosmological constraints are not biased by uncertainties associated with the modelling of astrophysical or systematic effects. In this study we validate the combined 3x2-pt analysis of the Dark Energy Spectroscopic Instrument Data Release 1 (DESI-DR1) spectroscopic galaxy …

Note on the Krull dimension of rings of integer-valued polynomials
M. M. Chems-Eddin, B. Feryouch, A. Tamoussit
https://arxiv.org/abs/2510.03443 https://ar…

Note on the Krull dimension of rings of integer-valued polynomials
Let $D$ be an integral domain with quotient field $K,$ $E$ a subset of $K$ and $X$ an indeterminate over $K$. The set $\mathrm{Int}(E,D):=\{f\in K[X];\; f(E)\subseteq D\}$, of integer-valued polynomials on $E$ over $D$, is known to be an integral domain. The purpose of this note is to calculate the Krull dimension of $\mathrm{Int}(E,D)$ across various classes of integral domains $D$ and specific subsets $E$ of $D$. We further extend our study to the ring $\mathrm{Int}_B(E,D):=\{f\in B[X];\; f(E…

Overlap-aware segmentation for topological reconstruction of obscured objects
J. Schueler, H. M. Ara\'ujo, S. N. Balashov, J. E. Borg, C. Brew, F. M. Brunbauer, C. Cazzaniga, A. Cottle, D. Edgeman, C. D. Frost, F. Garcia, D. Hunt, M. Kastriotou, P. Knights, H. Kraus, A. Lindote, M. Lisowska, D. Loomba, E. Lopez Asamar, P. A. Majewski, T. Marley, C. McCabe, L. Millins, R. Nandakumar, T. Neep, F. Neves, K. Nikolopoulos, E. Oliveri, A. Roy, T. J. Sumner, E. Tilly, W. Thompson, M. A. V…

Overlap-aware segmentation for topological reconstruction of obscured objects
The separation of overlapping objects presents a significant challenge in scientific imaging. While deep learning segmentation-regression algorithms can predict pixel-wise intensities, they typically treat all regions equally rather than prioritizing overlap regions where attribution is most ambiguous. Recent advances in instance segmentation show that weighting regions of pixel overlap in training can improve segmentation boundary predictions in regions of overlap, but this idea has not yet be…

Hadronic decay $D^ \to\pi^ \eta\eta$ and the $a_0(980)$ and $f_0(1370)$ contributions
Wen-Tao Lyu, Le-Le Wei, De-Min Li, En Wang
https://arxiv.org/abs/2508.04936 https://…

Hadronic decay $D^+\toπ^+ηη$ and the $a_0(980)$ and $f_0(1370)$ contributions
Motivated by the resent BESIII Collaboration measurements of the process $D^+\toπ^+ηη$, we investigate this process by considering the contribution from the resonance $a_0(980)$, which is generated by $S$-wave pseudoscalar meson-pseudoscalar meson interaction, and the contribution from the intermediate scalar meson $f_0(1370)$. Our results could give a good description of the $π^+η$ and $ηη$ invariant mass distributions, which implies that the contribution from the intermediate $f_0(1370…

Convex real projective structures on Coxeter orbifold $D^2(;n_1,n_2,n_3,n_4)\times \mathbb{R}$
Jaesung Bae
https://arxiv.org/abs/2509.05579 https://arxiv.o…

Convex real projective structures on Coxeter orbifold $D^2(;n_1,n_2,n_3,n_4)\times \mathbb{R}$
The deformation space of real projective structures parametrizes the space of the convex real projective structures on an orbifold. The Coxeter orbifold can be obtained $D^2(;n_1,n_2,n_3,n_4)\times\mathbb{R}$ by embedding the Coxeter quadrilateral from $\mathbb{RP}^2$ to $\mathbb{RP}^3$, and extending the side edges to planes and perturbing these to obtain a convex polytope. This noncompact orbifold can be induced from two combinatorial polytopes. Using this fact, we determine the deformation s…

Quantitative boundary H\"{o}lder estimates for the inhomogeneous Poisson problem through a probabilistic approach
Iulian C\^impean, Ionel Popescu, Arghir Zarnescu
https://arxiv.org/abs/2510.06906 …

Quantitative boundary Hölder estimates for the inhomogeneous Poisson problem through a probabilistic approach
In this paper we derive quantitative boundary Hölder estimates, with explicit constants, for the inhomogeneous Poisson problem in a bounded open set $D\subset \mathbb{R}^d$. Our approach has two main steps: firstly, we consider an arbitrary $D$ as above and prove that the boundary $α$-Hölder regularity of the solution the Poisson equation is controlled, with explicit constants, by the Hölder seminorm of the boundary data, the $L^ γ$-norm of the forcing term with $γ>d/2$, and the $α/2$-…

🇺🇦 #NowPlaying on KEXP's #AstralPlane
Erkin Koray:
🎵 Goca Dünya
#ErkinKoray
https://erkinkoray.bandcamp.com/track/goca-d-nya
https://open.spotify.com/track/7xae4L7Tk9u4wu6xdZdu3V

Bulk Weyl Asymptotics in the Edge Variable under Affine Spectral Encoding
Anton Alexa
https://arxiv.org/abs/2510.03238 https://arxiv.org/pdf/2510.03238

Bulk Weyl Asymptotics in the Edge Variable under Affine Spectral Encoding
We prove a Tauberian transfer principle showing that for any compact closed Riemannian manifold $(M^d,g)$ the affine spectral encoding $C=π-ελ$ transports Laplacian Weyl asymptotics to a Weyl law in the edge variable in the bulk regime $C\to-\infty$ (equivalently, $(π-C)/ε\to\infty$): $N_{μ_C}(C)\sim γ_d ε^{-d/2}(π-C)^{d/2}$ and $ρ_{\mathrm{bulk}}(C)\sim \frac{d}{2}γ_d ε^{-d/2}(π-C)^{(d-2)/2}$, so that $d$ and the Weyl constant $γ_d$ are recoverable from one-dimensional edge-varia…

Le trafic est ralenti de Champ de Mars vers Pontoise.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : déclenchement du signal d'alarme.
🤖 08/09 19:08

Capacity, which uses AI to automate contact center support, raised $92.6M, including a $42.6M Series D and $50M in debt, bringing its total raised to $155M (Kay Aloha Villamor/The SaaS News)
https://www.thesaasnews.com/news/capacity-raises-over-92-6-million-in-…

Capacity Raises Over $92.6 Million in Funding | The SaaS News
Capacity Raises Over $92.6 Million in Funding

Finite projective planes meet spectral gaps
Yuhan Guo, Dong Zhang
https://arxiv.org/abs/2509.06247 https://arxiv.org/pdf/2509.06247

Finite projective planes meet spectral gaps
We show that for any connected graph $G$ with maximum degree $d\ge3$, the spectral gap from $0$ with respect to the adjacency matrix is at most $\sqrt{d-1}$. We further show that the upper bound $\sqrt{d-1}$ is achieved if and only if $G$ is the incidence graph of a finite projective plane of order $d-1$; and for other cases, the upper bound can be improved to $\sqrt{d-2}$. A similar yet more subtle phenomenon involving the normalized Laplacian is also investigated, in which we work on graphs…

Global strong solutions to the $3$D rotating compressible Navier--Stokes--Korteweg system for large data in the critical $\widehat{L^p}$ framework
Mikihiro Fujii, Shunhang Zhang
https://arxiv.org/abs/2509.06078

Global strong solutions to the $3$D rotating compressible Navier--Stokes--Korteweg system for large data in the critical $\widehat{L^p}$ framework
Let us consider the $3$D compressible Navier--Stokes--Korteweg system in the rotational framework. Although there is a wealth of literature on the weak solutions to this system, there seem to be no results on the strong solutions. In this paper, we show the unique existence of global solutions for {\it large} initial data in the critical Besov-type spaces based on the Fourier--Lebesgue spaces $\widehat{L^p}(\mathbb{R}^3)$ with $2 \leq p < 3$, provided that the rotation speed and the Mach number…

Un train stationne Š Saint-Denis – Université vers Châtillon-Montrouge en raison d'un incident d'exploitation .
🤖 09/10 06:47

On the Non-vanishing of the D'Arcais Polynomials
Bernhard Heim, Markus Neuhauser
https://arxiv.org/abs/2509.06123 https://arxiv.org/pdf/2509.06123

On the Non-vanishing of the D'Arcais Polynomials
In this paper we invest in the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function. This is reflected in non-vanishing properties of the D'Arcais polynomials. We generalize and improve results of Heim--Luca--Neuhauser and Żmija. We apply methods from algebraic number theory.

Study of charm mixing and CP violation with $D^0\to K^\pm\pi^\mp\pi^\pm\pi^\mp$ decays
LHCb collaboration, et al.
https://arxiv.org/abs/2510.04963 https://…

Study of charm mixing and CP violation with $D^0\to K^\pmπ^\mpπ^\pmπ^\mp$ decays
A study of charm mixing and CP violation in $D^0\to K^\pmπ^\mpπ^\pmπ^\mp$ decays is performed using data collected by the LHCb experiment in proton-proton collisions from 2015 to 2018, corresponding to an integrated luminosity of 6$\text{fb}^{-1}$. The ratio of promptly produced $D^0\to K^+π^- π^+π^-$ to $D^0\to K^-π^+ π^-π^+$ decay rates is measured as a function of $D^0$ decay time, both inclusive over phase space and in bins of phase space. Taking external inputs for the $D^0 -\over…

Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry
Apriadi Salim Adam, Yunita Kristanti Andriani, Bayu Dirgantara
https://arxiv.org/abs/2509.05534 https://

Vacuum Structure of an Extended Standard Model with $U(1)_D$ Symmetry
In this research, we investigate the vacuum structure of an extended standard model with a $U(1)_D$ global symmetry. The scalar sector consists of three $SU(2)$ doublets as well as one complex singlet and one real singlet, resulting in a more complicated vacuum structure compared to that of the Standard Model. We analyze various theoretical constraints, including the conditions for being bounded from below, the existence of a global minimum, and perturbativity up to the Planck scale. Additional…

Moments of finitary factor maps between Bernoulli processes
Uri Gabor
https://arxiv.org/abs/2509.06018 https://arxiv.org/pdf/2509.06018

Moments of finitary factor maps between Bernoulli processes
The problem of what moments can exist for the coding radius of a finitary map between two i.i.d. processes, has been extensively studied in the case of $\mathbb{Z}$-processes. Here we treat this problem for factor maps between $\mathbb{Z}^{d}$-processes ($d>1$). By modeling the homomorphism with a map between spaces of finite sequences, we extend Harvey and Peres' result, showing that for a finitary homomorphism between two i.i.d. processes of equal entropy, if the coding radius of the map has …

🇺🇦 #NowPlaying on KEXP's #AstralPlane
Amon Düül II:
🎵 Burning Sister
#AmonDüülII
https://mindmix.bandcamp.com/track/burning-sister-amon-d-l-ii-cover
https://open.spotify.com/track/5davhuQNqpz3YIVoX6EbOZ

Trump threatens federal takeover of D.C. after attack on DOGE worker "Big Balls"
A protégé of Elon Musk and former DOGE staffer was injured in an attempted carjacking early Sunday morning in D.C.,
two people familiar with the incident said,
in an attack that captured the attention of Donald Trump and reinspired his threats to take over the nation’s capital.

“If D.C. doesn’t get its act together, and quickly, we will have no choice but to take Federal control…

Trump threatens federal takeover of D.C. after attack on DOGE worker
“If D.C. doesn’t get its act together, and quickly, we will have no choice but to take Federal control of the City,” Trump wrote Tuesday on Truth Social.

La circulation est momentanément arrêtée entre Juvisy et Brétigny Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne d'un train TER dans le secteur de Savigny sur Orge
🤖 08/08 08:41

Combined tracer analysis for DESI 2024 BAO
D. Valcin, M. Rashkovetskyi, H. Seo, F. Beutler, P. McDonald, A. de Mattia, A. J. Rosado-Mar\'in, A. J. Ross, N. Padmanabhan, J. Aguilar, S. Ahlen, U. Andrade, D. Bianchi, D. Brooks, E. Chaussidon, S. Chen, X. Chen, T. Claybaugh, A. Cuceu, K. S. Dawson, A. de la Macorra, Biprateep Dey, Z. Ding, P. Doel, S. Ferraro, A. Font-Ribera, J. E. Forero-Romero, E. Gazta\~naga, S. Gontcho A Gontcho, G. Gutierrez, C. Hahn, K. Honscheid, C. Howlett, M.…

Combined tracer analysis for DESI 2024 BAO
This paper demonstrates how the Dark Energy Spectroscopic Instrument (DESI) Data Release 1 (DR1) and future baryon acoustic oscillations (BAO) analyses can optimally combine overlapping tracers (galaxies of distinct types) in the same redshift range. We make a unified catalog of Luminous Red Galaxies (LRGs) and Emission Line Galaxies (ELGs) in the redshift range 0.8 < z < 1.1 and investigate the impact on the BAO constraints. DESI DR1 contains ~30% of the final DESI LRG sample and less than 25%…

Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
Kalyan Chakraborty, Shubham Gupta, Krishnarjun Krishnamoorthy
https://arxiv.org/abs/2509.06522 https://

Diophantine tuples and Integral Ideals of $\mathbb{Q}(\sqrt{d})$
Suppose $n$ is the fundamental discriminant associated with a quadratic extension of $\mathbb{Q}$. We show that for every Diophantine $m$-tuple $ \{t_1, t_2, \ldots, t_m\} $ with the property $ D(n) $, there exists integral ideals $ \mathfrak{t}_1, \mathfrak{t}_2, \ldots, \mathfrak{t}_m $ of $ \mathbb{Q}(\sqrt{n}) $ and $c\in \{1,2\}$ such that $ t_i= c\mathcal{N}(\mathfrak{t}_i) $ for $ i=1,2, \ldots, m $. Here, $ \mathcal{N}(\cdot) $ denotes the norm map from $\mathbb{Q}(\sqrt{n})$ to $\mathb…

Un train stationne Š Saint-François-Xavier vers Châtillon-Montrouge en raison de l'actionnement d'un signal d'alarme .
🤖 09/08 22:00

On $d$-distance $p$-packing domination number in strong products
Csilla Bujt\'as, Vesna Ir\v{s}i\v{c} Chenoweth, Sandi Klav\v{z}ar, Gang Zhang
https://arxiv.org/abs/2510.02749

On $d$-distance $p$-packing domination number in strong products
The $d$-distance $p$-packing domination number $γ_d^p(G)$ of a graph $G$ is the cardinality of a smallest set of vertices of $G$ which is both a $d$-distance dominating set and a $p$-packing. If no such set exists, then we set $γ_d^p(G) = \infty$. For an arbitrary strong product $G\boxtimes H$ it is proved that $γ_d^p(G\boxtimes H) \le γ_d^p(G) γ_d^p(H)$. By proving that $γ_d^p(P_m \boxtimes P_n) = \left \lceil \frac{m}{2d+1} \right \rceil \left \lceil \frac{n}{2d+1} \right \rceil$, and t…

The probabilities for the number of intersections in the Buffon-Laplace needle problem in $\mathbb{R}^d$
Uwe B\"asel
https://arxiv.org/abs/2508.04640 https://

The probabilities for the number of intersections in the Buffon-Laplace needle problem in $\mathbb{R}^d$
In 1974, Stoka solved Buffon's needle problem in $\mathbb{R}^d$, $d \ge 2$, i.e. he found a closed form solution for the probability that a line segment ("needle") with length $\ell$ intersects a grid of parallel hyperplanes with mutual distance $a\ge\ell$. For the Laplace needle problem in $\mathbb{R}^d$, where there are $d$ families of parallel hyperplanes with distances $a_1,\ldots,a_d$ fulfilling $\min(a_1,\ldots,a_d)\ge\ell$, and normal vectors in the direction of the coordinate axes $x_1,…

La gare de Paris Austerlitz en direction de Massy-Palaiseau, de Saint-Martin d'Étampes et de Dourdan La Forêt n'est pas desservie jusqu'Š 09h.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : affaires oubliées (Š bord du train JUJU en gare de Paris Austerlitz).
🤖 08/09 07:37

Constructions of lattices via biquadratic and triquadratic fields
L. F. Santos, G. C. Jorge
https://arxiv.org/abs/2509.04591 https://arxiv.org/pdf/2509.045…

Constructions of lattices via biquadratic and triquadratic fields
The lattices $D_4$ and $E_8$ are known to be the densest lattices in dimensions 4 and 8, respectively. In this paper, we employ tools from algebraic number theory to prove that the $D_4$-lattice arises from an infinite family of totally imaginary biquadratic fields. Furthermore, we extend this construction to show that both the $D_8$ and $E_8$ can be realized via triquadratic fields derived from this family.

Un train stationne Š Saint-Denis – Université vers Châtillon-Montrouge en raison de l'actionnement d'un signal d'alarme .
🤖 09/10 11:58

BREAKING: The D.C. Circuit has vacated Judge Boasberg's contempt order over the Trump administration's decision to deport people under the Alien Enemies Act in defiance of his TRO.
Rao (Trump), Katsas(Trump) side against Boasberg
Pillard (Obama) dissents
https://s3.documentcloud.org/documents

Fractionally colouring $P_5$-free graphs
Tung H. Nguyen
https://arxiv.org/abs/2510.05724 https://arxiv.org/pdf/2510.05724

Fractionally colouring $P_5$-free graphs
We obtain some $d\ge2$ such that every graph $G$ with no induced copy of the five-vertex path $P_5$ has at most $α(G)ω(G)^d$ vertices. This ``off-diagonal Ramsey'' statement implies that every such graph $G$ has fractional chromatic number at most $ω(G)^d$, and is another step towards the polynomial Gyárfás-Sumner conjecture for $P_5$. The proof uses the recent Erdős-Hajnal result for $P_5$ and adapts a decomposition argument for $P_5$-free graphs developed by the author in an earlier pap…

Les gares de Villeneuve-le-Roi, Ablon et Athis-Mons en direction de Saint-Martin d'Étampes et de Dourdan La Forêt ne sont pas desservies jusqu'Š 15h.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : malaise voyageur (en gare de Villeneuve le Roi).
🤖 09/09 14:11

Un train stationne Š Mairie de Saint-Ouen vers Saint-Denis – Université en raison de l'actionnement d'un signal d'alarme .
🤖 09/10 17:38

The limit of repetition thresholds of rich sequences
Lubom\'ira Dvo\v{r}\'akov\'a, Edita Pelantov\'a
https://arxiv.org/abs/2509.06104 https://

The limit of repetition thresholds of rich sequences
The repetition threshold of a class of sequences is the smallest number $r$ such that a sequence from the class contains no repetition with exponent $> r$. We focus on the class $\mathcal{C}_d$ of $d$-ary sequences rich in palindromes. In 2020, Currie, Mol, and Rampersad determined the repetition threshold for $\mathcal{C}_2$. In 2024, Currie, Mol and Peltomäki found the repetition threshold for $\mathcal{C}_3$ and conjectured that the repetition threshold for $\mathcal{C}_d$ tends to 2 with $…

La circulation est momentanément arrêtée de Invalides vers Biblio. F. Mitterrand. Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne de signalisation (dysfonctionnement des feux de signalisation dans le secteur d'Invalides)
🤖 08/10 10:54

Le trafic est perturbé entre Asnières - Gennevilliers Les Courtilles et Gabriel Péri vers Châtillon-Montrouge en raison d'un incident d'exploitation Š Asnières - Gennevilliers Les Courtilles.
🤖 08/08 11:41

Les gares de Villeneuve-le-Roi, Ablon et Athis-Mons en direction de Saint-Martin d'Étampes et de Dourdan La Forêt ne sont pas desservies jusqu'Š 15h.
Rendez-vous sur la rubrique "Recherche Itinéraire", pour retrouver un itinéraire prenant en compte cette perturbation.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : malaise voyageur (en gare de Villeneuve le Roi).
🤖 09/09 14:16

Frequencies of letters in infinite $k$-balanced sequences
Lubom\'ira Dvo\v{r}\'akov\'a, Edita Pelantov\'a
https://arxiv.org/abs/2509.05812 https://

Frequencies of letters in infinite $k$-balanced sequences
Frequency of letters in a symbolic sequence ${\bf u}$ over a finite alphabet is one of the basic characteristics of ${\bf u}$. The notion of $k$-balancedness captures the property that the number of any letter occurring in two arbitrary factors of ${\bf u}$ of equal length differs at most by $k$. For a fixed integer $k$ and alphabet size $d\in \mathbb N$, we discuss possible frequencies of letters in $k$-balanced $d$-ary sequences. For the size $d$ of the alphabet, we introduce the notion of ba…

Un train stationne Š Porte de Vanves vers Saint-Denis – Université et Asnières - Gennevilliers Les Courtilles en raison d'une gêne Š la fermeture des portes d'un train .
🤖 08/10 06:53

Le trafic est perturbé entre Brétigny et Dourdan.
Des suppressions, ralentissements ou modifications de dessertes sont Š prévoir.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne d'un passage Š niveauŠ La Norville.
🤖 08/09 22:13

The distance spectrum of the bipartite double cover of strongly regular graphs
S. Morteza Mirafzal
https://arxiv.org/abs/2510.02400 https://arxiv.org/pdf/2…

The distance spectrum of the bipartite double cover of strongly regular graphs
A strongly regular graph with parameters $(n,d,a,c)$ is a $d$-regular graph of order $n$, in which every pair of adjacent vertices has exactly $a$ common neighbor(s) and every pair of nonadjacent vertices has exactly $c$ common neighbor(s). Let $n$ be the number of vertices of the graph $G=(V,E)$. The distance matrix $D=D(G)$ of $G$ is an $n \times n $ matrix with the rows and columns indexed by $V$ such that $D_{uv} = d_{G}(u, v)=d(u,v)$, where $d_{G}(u, v)$ is the distance between the verti…