Tootfinder

Powers of 2 in High-Dimensional Lattice Walks
Nikolai Beluhov
https://arxiv.org/abs/2506.12789 https://arxiv.org/pdf/2506.12789

Powers of 2 in High-Dimensional Lattice Walks
Let $W_d(n)$ be the number of $2n$-step walks in $\mathbb{Z}^d$ which begin and end at the origin. We study the exponent of $2$ in the prime factorisation of this number; i.e., $w_d(n) = ν_2(W_d(n))$. We show that, for each $d$, there is a relationship between $w_d(n)$ and the number $s_2(n)$ of $1$s in the binary expansion of $n$. For example, $w_d(n) = s_2(n)$ if $d$ is odd and $w_d(n) = 2s_2(n)$ if $ν_2(d) = 1$; while $w_d(n) \ge 3s_2(n)$ if $ν_2(d) = 2$. The pattern changes further when …

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…

Boulevard, which provides business management software for the self-care sector, raised an $80M Series D led by JMI Equity at an ~$800M post-money valuation (Mary Ann Azevedo/Crunchbase News)
https://news.crunchbase.com/venture/saas-ai-scheduling-startup-boule…

Salon Software Platform Boulevard Nearly Doubles Valuation To $800M With $80M Series D
Los Angeles-based Boulevard, a business management software platform for self-care businesses, has raised $80 million in Series D funding led by JMI Equity, the company announced on Thursday.

Não é todos os dias que se fala da OKC em português
Aqui vai o artigo do Público na forma de um PDF, sem paywall
https://drive.google.com/file/d/1Ega7ZKrVezn_6I4_UrdYBZezpouRJd5f/view?usp=drivesdk
Obrigado por partilharem.

Efficient Qudit Circuit for Quench Dynamics of $2 1$D Quantum Link Electrodynamics
Rohan Joshi, Michael Meth, Jan C. Louw, Jesse J. Osborne, Kevin Mato, Martin Ringbauer, Jad C. Halimeh
https://arxiv.org/abs/2507.12589

Efficient Qudit Circuit for Quench Dynamics of $2+1$D Quantum Link Electrodynamics
A major challenge in the burgeoning field of quantum simulation for high-energy physics is the realization of scalable $2+1$D lattice gauge theories on state-of-the-art quantum hardware, which is an essential step towards the overarching goal of probing $3+1$D quantum chromodynamics on a quantum computer. Despite great progress, current experimental implementations of $2+1$D lattice gauge theories are mostly restricted to relatively small system sizes and two-level representations of the gauge …

"In a probable cause statement, one officer wrote that the suspect 'knowingly engage[d] in conduct that create[d] a grave risk of death to another individual and thereby cause[d] the death of the other individual.'"
https://www.sltrib.com/news/politics/2025/

'I'd talk to the Devil himself' — Belarus' opposition torn on whether to reengage with dictator Lukashenko to save political prisoners: https://benborges.xyz/2025/07/17/id-talk-to-the-devil.html

Frobenius liftable hypersurfaces
Tatsuro Kawakami, Supravat Sarkar, Jakub Witaszek
https://arxiv.org/abs/2507.12198 https://arxiv.org…

Frobenius liftable hypersurfaces
Let $D$ be a reduced divisor in $\mathbb P^n_k$ for an algebraically closed field $k$ of positive characteristic $p > 0$. We prove that if $(\mathbb P^n_k, D)$ is Frobenius liftable modulo $p^2$, then $D$ is a toric divisor. As a corollary, we show that if there exists a finite surjective morphism $f\colon Y\to X$ onto a smooth projective complex variety $X$ of Picard rank $1$ such that $(Y, f^{-1}(D)_{\mathrm{red}})$ is a toric pair, then $X$ is the projective space and $D$ is a toric divisor.

The DuSable Black History Museum and Education Center, a must if you visit #Chicago. A current exhibition is selections from the corporate art collection of the former Johnson Publishing Company, of EBONY and JET magazines.
Many other fantastic displays, including an animatronic Harold Washington!

Equivariant Borel liftings in complex analysis and PDE
Konstantin Slutsky, Mikhail Sodin, Aron Wennman
https://arxiv.org/abs/2507.12058 https://

Equivariant Borel liftings in complex analysis and PDE
We establish Borel equivariant analogues of several classical theorems from complex analysis and PDE. The starting point is an equivariant Weierstrass theorem for entire functions: there exists a Borel mapping which assigns to each non-periodic positive divisor $d$ an entire function $f_d$ with divisor of zeros $\mathrm{div}(f_d)=d$ and which commutes with translation, $f_{d-w}(z)=f_d(z+w)$. We also examine the existence of equivariant Borel right inverses for the distributional Laplacian, the …

Approaching Optimality for Solving Dense Linear Systems with Low-Rank Structure
Micha{\l} Derezi\'nski, Aaron Sidford
https://arxiv.org/abs/2507.11724 …

Approaching Optimality for Solving Dense Linear Systems with Low-Rank Structure
We provide new high-accuracy randomized algorithms for solving linear systems and regression problems that are well-conditioned except for $k$ large singular values. For solving such $d \times d$ positive definite system our algorithms succeed whp. and run in time $\tilde O(d^2 + k^ω)$. For solving such regression problems in a matrix $\mathbf{A} \in \mathbb{R}^{n \times d}$ our methods succeed whp. and run in time $\tilde O(\mathrm{nnz}(\mathbf{A}) + d^2 + k^ω)$ where $ω$ is the matrix mult…

The homology torsion growth of determinantal hypertrees
Andr\'as M\'esz\'aros
https://arxiv.org/abs/2506.14694 https://ar…

The homology torsion growth of determinantal hypertrees
Fix a dimension $d\ge 2$, and let $T_n$ be a random $d$-dimensional determinantal hypertree on $n$ vertices. We prove that \[\frac{\log|H_{d-1}(T_n,\mathbb{Z})|}{n\choose {d}}\] converges in probability to a constant $c_d$, which satisfies \[\frac{1}2 \log\left(\frac{d+1}e\right)\le c_d\le \frac{1}2 \log\left(d+1\right) .\]

Cosmological neutrino mass: a frequentist overview in light of DESI
D. Chebat, C. Y\`eche, E. Armengaud, N. Sch\"oneberg, M. Walther, A. de Mattia, J. Rohlf, J. Aguilar, S. Ahlen, D. Bianchi, D. Brooks, T. Claybaugh, A. Cuceu, A. de la Macorra, P. Doel, S. Ferraro, A. Font-Ribera, J. E. Forero-Romero, E. Gazta\~naga, G. Gutierrez, C. Hahn, H. K. Herrera-Alcantar, C. Howlett, D. Huterer, M. Ishak, J. Jimenez, R. Joyce, S. Juneau, R. Kehoe, D. Kirkby, A. Kremin, O. Lahav, A. Lambert…

Cosmological neutrino mass: a frequentist overview in light of DESI
We derive constraints on the neutrino mass using a variety of recent cosmological datasets, including DESI BAO, the full-shape analysis of the DESI matter power spectrum and the one-dimensional power spectrum of the Lyman-$α$ forest (P1D) from eBOSS quasars as well as the cosmic microwave background (CMB). The constraints are obtained in the frequentist formalism by constructing profile likelihoods and applying the Feldman-Cousins prescription to compute confidence intervals. This method avoid…

I'd do ads for whiskey in Japan, for a price. Hell, who am I kidding. I'd do 'em for a six-pack.

The Lost Archives - Live D&D Podcast
Great Australian Pods Podcast Directory: #GreatAusPods

⚠️ Please BE AWARE that there is a chance that if you transfer your save file from Switch to Switch 2, you may lose it. This person lost 20 years of data that they'd had since their Game Boy Advance. Totally brutal. It's a huge gamble, and to me, might not be worth it if you really value your save data.

'There's nothing I can do. I don't even know if I wanna play anymore' — Pokémon fan left devastated after '20 years worth of data' lost in Switch to Switch 2 transfer
‘My Scarlet save file is gone,’ sobs gamer. They say no error messages popped up during their Friday the 13th transfer attempt.

Un train stationne Š Franklin D. Roosevelt vers Pont de Sèvres en raison d'un incident technique Š Franklin D. Roosevelt .
🤖 18/06 18:08

Train supprimé :
- Le train LARA au départ de la gare de Dourdan la Forêt Š 13h05, et Š l’arrivée en gare des Invalides Š 14h23.
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler :
- Le train LARA au départ de la gare de Dourdan la Forêt Š 13h35, et Š l’arrivée en gare des Invalides Š 14h53.
Pour plus d'informations sur cette perturbation, consultez le fil Twitter de la ligne.
Motif : panne d'un train (train immobilisé en atel…

Cela manque de substence , dommage le titre est accrocheur
Au Maroc, règlements de comptes après la fuite Š l’étranger d’un ancien chef espion
https://www.lemonde.fr/afrique/article/202

Au Maroc, règlements de comptes après la fuite à l’étranger d’un ancien chef espion
Des officiers de police proches de Mehdi Hijaouy, ex-haut responsable des renseignements extérieurs poussé à l’exil à la suite d’un conflit avec sa hiérarchie, sont l’objet de condamnations, tandis que sa famille est ciblée par du harcèlement administratif.

Els preciosos d'#Agbar varen fer, el divendres al matí, un forat davant l'entrada dol plaça de la Torratxa a #Valls.
Van fer el forat, van posar quatre tanques al costat, i au, cap de setmana!
En lloc d'obrir el forat i fer el que havien de fer seguidament, han deixat el forat obert d…

Counting $D_4$-field extensions by multi-invariants
Willem Hansen, Anna Zanoli
https://arxiv.org/abs/2507.12342 https://arxiv.org/pdf…

Counting $D_4$-field extensions by multi-invariants
We count the number of Galois extensions $M/\mathbb{Q}$ with fixed Galois group $\text{Gal}(M/\mathbb{Q})=D_4$ ordered by multi-invariants introduced by Gundlach. We verify the asymptotic behavior predicted by Gundlach's version of Malle's conjecture. We compare the leading constant to recent predictions by Loughran and Santens.

Un train stationne Š Place d'Italie en raison de l'actionnement d'un signal d'alarme .
🤖 18/07 12:34

The peculiar hard state behaviour of the black hole X-ray binary Swift J1727.8$-$1613
A. K. Hughes, F. Carotenuto, T. D. Russell, A. J. Tetarenko, J. C. A. Miller-Jones, R. M. Plotkin, A. Bahramian, J. S. Bright, F. J. Cowie, J. Crook-Mansour, R. Fender, J. K. Khaulsay, A. Kirby, S. Jones, M. McCollough, R. Rao, G. R. Sivakoff, S. D. Vrtilek, D. R. A. Williams-Baldwin, C. M. Wood, D. Altamirano, P. Casella, N. Castro Segura, S. Corbel, M. Del Santo, C. Echiburu-Trujillo, J. van den Eij…

The peculiar hard state behaviour of the black hole X-ray binary Swift J1727.8$-$1613
Tracking the correlation between radio and X-ray luminosities during black hole X-ray binary outbursts is a key diagnostic of the coupling between accretion inflows (traced by X-rays) and relativistic jet outflows (traced by radio). We present the radio--X-ray correlation of the black hole low-mass X-ray binary Swift~J1727.8$-$1613 during its 2023--2024 outburst. Our observations span a broad dynamic range, covering $\sim$4 orders of magnitude in radio luminosity and $\sim$6.5 in X-ray luminosi…

UniDet-D: A Unified Dynamic Spectral Attention Model for Object Detection under Adverse Weathers
Yuantao Wang, Haowei Yang, Wei Zhang, Shijian Lu
https://arxiv.org/abs/2506.12324 …

UniDet-D: A Unified Dynamic Spectral Attention Model for Object Detection under Adverse Weathers
Real-world object detection is a challenging task where the captured images/videos often suffer from complex degradations due to various adverse weather conditions such as rain, fog, snow, low-light, etc. Despite extensive prior efforts, most existing methods are designed for one specific type of adverse weather with constraints of poor generalization, under-utilization of visual features while handling various image degradations. Leveraging a theoretical analysis on how critical visual details…

I used to be so afraid of making phone calls that I'd write myself a script before I dialed. Now I agonize so much about getting the tone of an email right that I'd rather just call.

#MardiPatisserie
Tiramisu de restaurant miam miam

DELVE-ing into the Milky Way's Globular Clusters: Assessing extra-tidal features in NGC 5897, NGC 7492, and testing detectability with deeper photometry
A. Chiti, K. Tavangar, P. S. Ferguson, J. A. Carballo-Bello, A. M. Senkevich, D. Erkal, A. Drlica-Wagner, A. B. Pace, A. P. Ji, D. J. Sand, G. Limberg, A. Chaturvedi, D. Crnojevi\'c, G. E. Medina, A. H. Riley, N. Shipp, A. K. Vivas, M. Wertheim, Y. Choi, C. E. Mart\'inez-V\'azquez, B. Mutlu-Pakdil, M. Navabi, J. D. Sako…

DELVE-ing into the Milky Way's Globular Clusters: Assessing extra-tidal features in NGC 5897, NGC 7492, and testing detectability with deeper photometry
Extra-tidal features around globular clusters (GCs) are tracers of their disruption, stellar stream formation, and their host's gravitational potential. However, these features remain challenging to detect due to their low surface brightness. We conduct a systematic search for such features around 19 GCs in the DECam Local Volume Exploration (DELVE) survey Data Release 2, discovering a new extra-tidal envelope around NGC 5897 and find tentative evidence for an extended envelope surrounding NGC …

ich bin grade dabei meine Kabels zu soriteren und dabei ist mir eine Idee gekommen und wollte mal fragen, ob das gut oder quatsch ist.
Nämlich ein Art #Stecksystem, wo man die Kabels dran steckt und vlll sogar aufhängen kann. So würde das mit den ganzen Kabels mal ein wenig Ordnung reinkommen ;D
Was meint ihr dazu ?
Gerne Boosten ;D

#FensterFreitag
The Ca d'Oro building in Glasgow in Venetian renaissance style
(from my recent visit to #Glasgow)
#architecture

Identification of $D^*_2(3000)$ as the $D_2^*(2^3P_2)$ and exploring potential of undiscovered $2^ $ mesons via $B$ decays
Shi-Hang Zhang, Wen-Yuan Ke, Su-Yan Pei, Wei Li, Xiao-Ze Tan, Lili Zhu, Guo-Li Wang
https://arxiv.org/abs/2506.14140

Identification of $D^*_2(3000)$ as the $D_2^*(2^3P_2)$ and exploring potential of undiscovered $2^+$ mesons via $B$ decays
Following the discovery of the $D^*_2(3000)$, its mass and full width have been extensively studied. Yet its nature remains undetermined to date. Since it was discovered through nonleptonic decay of $B$ meson and the corresponding cascade process, we therefore in this paper investigate the nonleptonic and semileptonic decays of $B$ meson to $J^P = 2^+$ charmed mesons using the Bethe-Salpeter equation approach. Our calculations on nonleptonic $B$ decays reveal that the unconfirmed resonance $D^*…

Train supprimé : -ZOHO : départ Montereau Š 15h29, arrivée Melun Š 16h06.
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler : -ZOHO : départ Montereau Š 16h29, arrivée Melun Š 17h07.
Pour plus d'informations sur cette perturbation, consultez le fil X de la ligne.
Motif : panne d'un train.
🤖 17/07 12:57

Stochastic intrinsic gradient flows on the Wasserstein space
Panpan Ren, Michael R\"ockner, Feng-Yu Wang, Simon Wittmann
https://arxiv.org/abs/2506.12755

Stochastic intrinsic gradient flows on the Wasserstein space
We construct stochastic gradient flows on the $2$-Wasserstein space $\mathcal P_2$ over $\mathbb R^d$ for energy functionals of the type $W_F(ρd x)=\int_{\mathbb R^d}F(x,ρ(x))d x$. The functions $F$ and $\partial_2 F$ are assumed to be locally Lipschitz on $\mathbb R^d\times (0,\infty)$. This includes the relevant examples of $W_F$ as the entropy functional or more generally the Lyapunov function of generalized porous media equations. First, we define a class of Gaussian-based measures $Λ$ o…

EXCLUSIVE: Memo Reveals D.C. Judges Are Predisposed Against Trump Administration (Margot Cleveland/The Federalist)
https://thefederalist.com/2025/07/16/exclusive-memo-reveals-d-c-judges-are-predisposed-against-trump-administration/
http://www.memeorandum.com/250716/p138#a250716p138

Coxeter matrices and homological quadratic forms of $\boldsymbol{n}$-hereditary algebras
Raziyeh Diyanatnezhad, Alireza Nasr-Isfahani
https://arxiv.org/abs/2506.13136

Coxeter matrices and homological quadratic forms of $\boldsymbol{n}$-hereditary algebras
We study the Coxeter matrices and the homological quadratic forms of $n$-hereditary algebras within the framework of higher dimensional Auslander--Reiten theory. Let $Λ$ be a finite dimensional $n$-hereditary algebra with the Coxeter matrix $Φ$ and the homological quadratic form $χ$. We prove that if $Λ$ is $n$-representation finite, then there exists a positive integer $d$ such that $Φ^d=1$. In the case $n$ is an odd number, we show that if there exists a positive integer $d$ such that $�…

Complete quasinormal modes of Type-D black holes
Changkai Chen, Jiliang Jing, Zhoujian Cao, Mengjie Wang
https://arxiv.org/abs/2506.14635 https://

Complete quasinormal modes of Type-D black holes
Quasinormal mode (QNM) spectra of black holes exhibit two open problems [Conf. Proc. C 0405132, 145 (2004); CQG 26, 163001 (2009)]: (i) the discontinuity in highly damped QNMs between Schwarzschild and Kerr solutions as $a \to 0$, and (ii) the unexplained spectral proximity between QNMs and algebraically special (AS) frequencies, particularly the anomalous multiplet splitting for Kerr $\ell=2$, $m \geq 0$ modes. We develop a novel method to compute complete QNM spectra for Type-D black holes, s…

Affine Deformations of Divisible Convex Cones and Affine Spacetimes
Antoine Ablondi
https://arxiv.org/abs/2506.12172 https://arxiv.or…

Affine Deformations of Divisible Convex Cones and Affine Spacetimes
Given a subgroup of $\mathrm{SL}(\mathbb{R}^{d+1})\ltimes\mathbb{R}^{d+1}$ obtained by adding a translation part to a torsion-free discrete subgroup of $\mathrm{SL}(\mathbb{R}^{d+1})$ dividing a convex domain in the sense of Benoist, we construct two maximal convex domains on which the affine action of that subgroup is free and properly continuous. We also introduce a notion of "affine spacetime" structure, with which quotients of those domains are naturally endowed. In that setting, we show th…

Communication Complexity of Exact Sampling under R\'enyi Information
Spencer Hill, Fady Alajaji, Tam\'as Linder
https://arxiv.org/abs/2506.12219 ht…

Communication Complexity of Exact Sampling under Rényi Information
We study the problem of communicating a sample from a probability distribution $P$ given shared access to a sequence distributed according to another probability distribution $Q$. Li and El Gamal used the Poisson functional representation to show that the minimum expected message length to communicate a sample from $P$ can be upper bounded by $D(P||Q) + \log (D(P||Q) + 1) + 4$, where $D(\, \cdot \, || \, \cdot\, )$ is the Kullback-Leibler divergence. We generalize …

Community Report from the 2025 SNOLAB Future Projects Workshop
M. D. Diamond, P. Abbamonte, A. Arvanitaki, D. M. Asner, D. Balut, D. Baxter, C. Blanco, D. Boreham, M. Boulay, B. Broerman, T. Brunner, E. Caden, A. Chavarria, M. Chen, J. P. Davis, A. Drlica-Wagner, J. Estrada, N. Fatemighomi, J. Foster, D. Freedman, C. Gao, J. Hall, S. Hall, W. Halperin, M. Hirschel, N. Hoch, Z. Hong, A. Ianni, C. Jillings, D. Johnson, Y. Kahn, C. B. Krauss, T. Laframboise, M. Lai, M. R. Lapointe, B. Lil…

Community Report from the 2025 SNOLAB Future Projects Workshop
SNOLAB hosts a biannual Future Projects Workshop (FPW) with the goal of encouraging future project stakeholders to present ideas, concepts, and needs for experiments or programs that could one day be hosted at SNOLAB. The 2025 FPW was held in the larger context of a 15-year planning exercise requested by the Canada Foundation for Innovation. This report collects input from the community, including both contributions to the workshop and contributions that could not be scheduled in the workshop b…

Dimension of Bi-degree $(d,d)$ Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes
Bingru Huang, Falai Chen
https://arxiv.org/abs/2507.11047

Dimension of Bi-degree $(d,d)$ Spline Spaces with the Highest Order of Smoothness over Hierarchical T-Meshes
In this article, we study the dimension of the spline space of di-degree $(d,d)$ with the highest order of smoothness over a hierarchical T-mesh $\mathscr T$ using the smoothing cofactor-conformality method. Firstly, we obtain a dimensional formula for the conformality vector space over a tensor product T-connected component. Then, we prove that the dimension of the conformality vector space over a T-connected component of a hierarchical T-mesh under the tensor product subdivision can be calcul…

OH: i wish i had a sleep paralysis demon, i think we'd get along

Noncentrosymmetric High-Temperature Superconductivity in doped $d^9$ Multiferroics
Hu Zhang
https://arxiv.org/abs/2506.14314 https://…

Noncentrosymmetric High-Temperature Superconductivity in doped $d^9$ Multiferroics
Multiferroics with $d^9$ electronic configurations, such as $SnCuO_2$, $PbCuO_2$, and $BiNiO_2$, exhibit coexisting antiferromagnetic order and ferroelectricity. Motivated by the fundamental link between symmetry breaking, strong electron correlations, and unconventional superconductivity, we propose a materials design strategy targeting noncentrosymmetric high-temperature superconductors through chemical doping of engineered $d^9$ multiferroics. This approach bridges two phenomena: (i) the coe…

First-Passage Observables of $d$-dimensional Confined Jump Processes
J\'er\'emie Klinger, Olivier B\'enichou, Rapha\"el Voituriez
https://arxiv.org/abs/2506.12581

First-Passage Observables of $d$-dimensional Confined Jump Processes
First-passage observables (FPO) are central to understanding stochastic processes in confined domains, with applications spanning chemical reaction kinetics, foraging behavior, and molecular transport. While extensive analytical results exist for continuous processes, discrete jump processes -- crucial for describing empirically observed dynamics -- remain largely unexplored in this context. This paper presents a comprehensive framework to systematically evaluate FPO for $d$-dimensional confine…

d-DQIVAR: Data-centric Visual Analytics and Reasoning for Data Quality Improvement
Hyein Hong, Sangbong Yoo, SeokHwan Choi, Jisue Kim, Seongbum Seo, Haneol Cho, Chansoo Kim, Yun Jang
https://arxiv.org/abs/2507.11960

d-DQIVAR: Data-centric Visual Analytics and Reasoning for Data Quality Improvement
Approaches to enhancing data quality (DQ) are classified into two main categories: data- and process-driven. However, prior research has predominantly utilized batch data preprocessing within the data-driven framework, which often proves insufficient for optimizing machine learning (ML) model performance and frequently leads to distortions in data characteristics. Existing studies have primarily focused on data preprocessing rather than genuine data quality improvement (DQI). In this paper, we …

wirklauendeinauto punkt d e

J'ai lu le très bon billet d' @… sur #Kloset, moteur de stockage de backup de #Plakar

Un train stationne Š Malakoff - Rue Etienne Dolet vers Châtillon-Montrouge en raison d'un incident d'exploitation .
🤖 18/07 08:55

Neighbor Connectivity of Undirected Toroidal Meshes
Hui-Ming Huang, Ruichao Niu, Min Xu, Jou-Ming Chang
https://arxiv.org/abs/2506.14240 https://

Neighbor Connectivity of Undirected Toroidal Meshes
In this paper, we examine the neighbor connectivity, denoted as $κ_{NB}$, of the undirected toroidal mesh $C(d_1,d_2,\ldots,d_n)$. We demonstrate that $κ_{NB}(C(d_1,d_2,\ldots,d_n)) = n$ for all $n \ge 2$ and $d_i \ge 3$ (for $1 \le i \le n$). Additionally, we perform a computer simulation experiment on neighbor connectivity in undirected toroidal meshes. This experiment not only supports our theoretical findings with empirical results but also provides a deeper understanding of neighbor stru…

Multipartite Mixed-Species Entanglement over a Quantum Network
D. Main, P. Drmota, E. M. Ainley, A. Agrawal, D. Webb, S. Saner, O. Bazavan, B. C. Nichol, R. Srinivas, D. P. Nadlinger, G. Araneda, D. M. Lucas
https://arxiv.org/abs/2506.14334

Multipartite Mixed-Species Entanglement over a Quantum Network
We generate multipartite entangled states of two, three and four matter qubits, where the entanglement is distributed over macroscopic distances via a photonic network link. Trapped-ion ${}^{88}\text{Sr}^+$ qubits are entangled directly via the optical fibre link, and the entanglement is subsequently extended to ${}^{43}\text{Ca}^+$ memory qubits co-trapped in each network node, using local mixed-species logic gates. We create remotely entangled $\text{Sr}^+$-$\text{Ca}^+$ and $\text{Ca}^+$-$\t…

Y a des jeux d'adresse, de figurines, de plateau, de stratégie et de rôle. C'est a la #ludikon, a l'ancienne papeterie de Montech dans le Tarn et garonne a 15 minutes a l'ouest de Montauban. Cet aprem et demain.
#jdr

On physical considerations regarding development and validation of Heat Flux Partitioning models: application to vertical boiling flows simulations
Luc Favre (IMFT, EDF R&D MFEE), Catherine Colin (IMFT), S. Pujet (EDF R&D MFEE), St\'ephane Mimouni (EDF R&D MFEE)
https://arxiv.org/abs/2507.12478

On physical considerations regarding development and validation of Heat Flux Partitioning models: application to vertical boiling flows simulations
As part of a critical assessment of wall boiling modeling through Heat Flux Partitioning approach, a new model dedicated to vertical boiling flows is proposed, with a revisited partitioning including a boiling heat flux related to bubble coalescence. Closure laws include a recent model for bubble dynamics, a new correlation for the bubble maximum lift-off diameter, and comprehensive selection of existing models for nucleation site density and bubble wait time. Each formulation are compared to r…

Here's a Wikipedia article, in english. 1932 Prussian coup-d'etat https://en.wikipedia.org/wiki/1932_Prussian_coup_d'état

1932 Prussian coup d'état - Wikipedia

Le trafic est perturbé entre Paris Saint-Lazare et St-Nom-la-Bretèche dans les 2 sens.
Pour plus d'informations sur cette perturbation, consultez le fil X de la ligne L.
Motif : panne d'un passage Š niveau (passage Š niveau endommagé dans le secteur de Garches-Marnes-La-Coquette).
🤖 18/07 22:14

Reconstruction theorems for coadmissible D-cap-modules
Finn Wiersig
https://arxiv.org/abs/2506.12601 https://arxiv.org/pdf/2506.12601…

Reconstruction theorems for coadmissible D-cap-modules
We prove a Riemann-Hilbert correspondence for Ardakov-Wadsley's coadmissible D-cap-modules and, more generally, for Bode's $\mathcal{C}$-complexes. More precisely, we show that any given $\mathcal{C}$-complex can be reconstructed out of its solutions. As a corollary, we find that slight modifications of the solution and de Rham functors introduced by the author are fully faithful on $\mathcal{C}$-complexes and, in particular, on coadmissible D-cap-modules. One of the many steps of our proof is …

PostHog, which offers dev tools to analyze, test, observe, and deploy new features, raised a $70M Series D led by Stripe at a $920M valuation (Mary Ann Azevedo/Crunchbase News)
https://news.crunchbase.com/ai/startup-posthog-tweet-funding-round-stripe/

Meet PostHog, A Startup That Just Raised A $70M Series D Led By Stripe From A Single Tweet
PostHog, which aims to help developers build “successful products,” quietly announced last week that it had raised $70 million in a Series D funding round at a $920 million valuation led by digital payments giant Stripe.

The $\eta$-$\eta'$ mixing and its application in the $B^ /D^ /D_s^ \to\eta^{(\prime)}\ell^ \nu_\ell$ decays
Yu-Jie Zhang, Xing-Gang Wu, Dan-Dan Hu, Long Zeng
https://arxiv.org/abs/2506.13214

The $η$-$η'$ mixing and its application in the $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ ν_\ell$ decays
In this paper, we take into account the intrinsic charm and gluonic contents into the $η-η^\prime$ mixing scheme and formulate the tetramixing $η-η^\prime-G-η_c$ to study the mixing properties of $η^{(\prime)}$ mesons. Using the newly derived mixing parameters, we calculate the transition form factors (TFFs) of $B^+/D^+/D_s^+\toη^{(\prime)}$ within the QCD light-cone sum rules up to next-to-leading order QCD corrections and twist-4 contributions. Using the extrapolated TFFs, we then calc…

Un train stationne Š Franklin D. Roosevelt vers Pont de Sèvres en raison d'un incident nécessitant l’intervention du conducteur Š Franklin D. Roosevelt .
🤖 18/06 17:57

Radius-zero Extended Symmetries and Irregular Fibres of $\mathbb{Z}^d$-Substitution Subshifts
\'Alvaro Bustos-Gajardo, Daniel Luz, Neil Ma\~nibo
https://arxiv.org/abs/2506.13392

Radius-zero Extended Symmetries and Irregular Fibres of $\mathbb{Z}^d$-Substitution Subshifts
In this work, we consider $\mathbb{Z}^d$-shifts generated by digit substitutions. For such a shift $\mathbb{X}$, we study the elements of the normaliser of $\mathbb{Z}^d$ in the group of self homeomorphisms (called extended symmetries) whose local maps guaranteed by the generalised Curtis--Hedlund--Lyndon theorem have radius-zero. Using the formalism of minimal sets developed by Lemańczyk, Müllner and Yassawi, we provide an algorithm to compute elements of $\mathcal{N}(\mathbb{X})$ that prese…

Découvrez notre association 'Les Chardons Bleus' et notre mission de soutien aux victimes d'abus de la OKC.
https://chardonsbleus.org/association

A Block Reduction Method for Random Band Matrices with General Variance Profiles
Jiaqi Fan, Fan Yang, Jun Yin
https://arxiv.org/abs/2507.11945 https://

A Block Reduction Method for Random Band Matrices with General Variance Profiles
We present a novel block reduction method for the study of a general class of random band matrices (RBM) defined on the $d$-dimensional lattice $\mathbb{Z}_{L}^d:=\{1,2,\ldots,L\}^{d}$ for $d\in \{1,2\}$, with band width $W$ and an almost arbitrary variance profile subject to a core condition. We prove the delocalization of bulk eigenvectors for such RBMs under the assumptions $W\ge L^{1/2+\varepsilon}$ in one dimension and $W\geq L^{\varepsilon}$ in two dimensions, where $\varepsilon$ is an ar…

Train supprimé :
- TER 891203 départ Paris Gare de Lyon 18h21, arrivée Montereau 19h18.
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler : - GAME départ Paris Gare de Lyon 18h32, passage Melun 19h00, arrivée Montargis 19h56.
- KUMO départ Paris Gare de Lyon 18h46, arrivée Montereau 19h44.
Pour plus d'informations sur cette perturbation, consultez le fil Twitter de la ligne.
Motif : panne d'un train.
🤖 17/07 17:15

Train supprimé :
-
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler :
-
Pour plus d'informations sur cette perturbation, consultez le fil Twitter de la ligne.
Motif :
🤖 18/06 12:09

« Fière d’avoir la peau brune » : Š Los Angeles, le sursaut de solidarité de la jeunesse latino
https://www.lemonde.fr/international/article/2025/06/15/fiere-d-etre-brune-a-los…

« Fière d’être brune » : à Los Angeles, le sursaut de solidarité de la jeunesse latino
Des milliers d’enfants de migrants ont manifesté samedi dans le centre-ville de la mégalopole californienne, en brandissant leur identité, pour protester contre les arrestations massives de sans-papiers ordonnées par l’administration Trump.

SEDONA-GesaRaT: an AI-Accelerated Radiative Transfer Program for 3-D Supernova Simulations
Xingzhuo Chen, Ulisses Braga-Neto, Lifan Wang, Daniel Kasen, Zhengwei Liu, F. K. Roepke, Ming Zhong, David J. Jeffery
https://arxiv.org/abs/2507.11767

SEDONA-GesaRaT: an AI-Accelerated Radiative Transfer Program for 3-D Supernova Simulations
We present SEDONA-GesaRaT, a rapid code for supernova radiative transfer simulation developed based on the Monte-Carlo radiative transfer code SEDONA. We use a set of atomic physics neural networks (APNN), an artificial intelligence (AI) solver for the non-local thermodynamic equilibrium (NLTE) atomic physics level population calculation, which is trained and validated on 119 1-D type Ia supernova (SN Ia) radiative transfer simulation results showing great computation speed and accuracy. SEDONA…

Locating-dominating partitions for some classes of graphs
Florent Foucaud, Paras Vinubhai Maniya, Kaustav Paul, Dinabandhu Pradhan
https://arxiv.org/abs/2506.12933

Locating-dominating partitions for some classes of graphs
A dominating set of a graph $G$ is a set $D \subseteq V(G)$ such that every vertex in $V(G) \setminus D$ is adjacent to at least one vertex in $D$. A set $L\subseteq V(G)$ is a locating set of $G$ if every vertex in $V(G) \setminus L$ has pairwise distinct open neighborhoods in $L$. A set $D\subseteq V(G)$ is a locating-dominating set of $G$ if $D$ is a dominating set and a locating set of $G$. The location-domination number of $G$, denoted by $γ_{LD}(G)$, is the minimum cardinality among all …

$d 1$ Measurement Bases are Sufficient for Determining $d$-Dimensional Quantum States: Theory and Experiment
Tianqi Xiao, Yaxin Wang, Ying Xia, Zhihao Li, Xiaoqi Zhou
https://arxiv.org/abs/2507.11204

$d+1$ Measurement Bases are Sufficient for Determining $d$-Dimensional Quantum States: Theory and Experiment
A long-standing problem in quantum physics is to determine the minimal number of measurement bases required for the complete characterization of unknown quantum states, a question of particular relevance to high-dimensional quantum information processing. Here, we propose a quantum state tomography scheme that requires only $d+1$ projective measurement bases to fully reconstruct an arbitrary $d$-dimensional quantum state. As a proof-of-principle, we experimentally verified this scheme on a sili…

Un train stationne Š Gaîté vers Châtillon-Montrouge en raison d'une gêne Š la fermeture des portes d'un train Š Gaîté .
🤖 17/06 12:56

Que les votacions d'#Eurovision estan sempre manipulades és ben clar i això ho sap tothom, però que enguany a #Eurovision2025, Israel estigues a punt de guanyar-lo i que passes pel davant d'obres mestres com Estònia o Suècia és un clar indicador que han fet trampejades en segon pla com…

Modeling of the High Column Density systems in The Lyman-Alpha Forest
T. Tan, J. Rich, E. Chaussidon, J. M. Le Goff, C. Balland, E. Armengaud, J. Aguilar, S. Ahlen, D. Bianchi, D. Brooks, T. Claybaugh, A. Cuceu, A. de la Macorra, P. Doel, J. E. Forero-Romero, E. Gazta\~naga, S. Gontcho A Gontcho, G. Gutierrez, H. K. Herrera-Alcantar, K. Honscheid, M. Ishak, D. Kirkby, T. Kisner, A. Kremin, M. Landriau, L. Le Guillou, M. Manera, P. Martini, R. Miquel, S. Nadathur, N. Palanque-Delabrouil…

Modeling of the High Column Density systems in The Lyman-Alpha Forest
The Lyman-alpha forests observed in the spectra of high-redshift quasars can be used as a tracer of the cosmological matter density to study baryon acoustic oscillations (BAO) and the Alcock-Paczynski effect. Extraction of cosmological information from these studies requires modeling of the forest correlations. While the models depend most importantly on the bias parameters of the intergalactic medium (IGM), they also depend on the numbers and characteristics of high-column-density systems (HCD…

Le trafic est perturbé Š Franklin D. Roosevelt vers Pont de Sèvres en répercussion d'un incident technique Š Franklin D. Roosevelt .
🤖 18/06 18:51

Scaling in two-dimensional Rayleigh-B\'enard convection
Erik Lindborg
https://arxiv.org/abs/2506.13213 https://arxiv.org/pdf/2506…

Scaling in two-dimensional Rayleigh-Bénard convection
An equation for the evolution of mean kinetic energy, $ E $, in a 2-D or 3-D Rayleigh-Bénard system with domain height $ L $ is derived. Assuming classical Nusselt number scaling, $ Nu \sim Ra^{1/3} $, and that mean enstrophy, in the absence of a downscale energy cascade, scales as $\sim E/L^2 $, we find that the Reynolds number scales as $ Re \sim Pr^{-1}Ra^{2/3} $ in the 2-D system, where $ Ra $ is the Rayleigh number and $ Pr $ the Prandtl number, which is a much stronger scaling than in th…

Level structures on parahoric torsors and complete integrability
Georgios Kydonakis, Lutian Zhao
https://arxiv.org/abs/2506.12302 https://

Level structures on parahoric torsors and complete integrability
For a smooth complex algebraic curve $X$ and a reduced effective divisor $D$ on $X$, we introduce a notion of $D$-level structure on parahoric $\mathcal{G}_{\boldsymbol θ}$-torsors over $X$, for any connected complex reductive Lie group $G$. A moduli space of parahoric $\mathcal{G}_{\boldsymbol θ}$-torsors equipped with a $D$-level structure is constructed and we identify a canonical moment map with respect to the action of a level group on this moduli space. This action extends to a Poisson …

Analysis of three-body charmed $B$ meson decays $B \to {D}(V^* \to){V P}$
Jing Ou-Yang, Run-Hui Li, Si-Hong Zhou
https://arxiv.org/abs/2506.14675 https://

Analysis of three-body charmed $B$ meson decays $B \to {D}(V^* \to){V P}$
We systematically analyze the decays $B_{(s)} \to D_{(s)} (V^* \to)\, V\, P$, where $V^*$ represents a vector resonance ($ρ, \, ω$ or $K^*$), and $V P$ denotes the final-state meson pairs $ ω\, π$, $ ρ\, π$ and $ ρ\, K$. The intermediate subprocesses $B_{(s)} \to D_{(s)} V^*$ are calculated in the factorization-assisted topological-amplitude approach, while the intermediate resonant states $V^*$ are modeled using a relativistic Breit-Wigner distribution, subsequently decaying into $VP$ t…

Le train suivant voit son départ différé de 10 minutes environ :
- POMA départ de Montargis Š 20h02, arrivée Š Paris Gare de Lyon Š 21h43.
Pour plus d'informations sur cette perturbation, consultez le fil Twitter de la ligne.
Motif : régulation de trafic sur sa mission précédente (conséquence d'un voyageur malade Š bord d'un train).
🤖 18/06 19:43

The Directed Spanning Forest: coalescence versus dimension
Tom Garcia-Sanchez
https://arxiv.org/abs/2507.13289 https://arxiv.org/pdf/…

The Directed Spanning Forest: coalescence versus dimension
For $p\in[1,\infty]$, the $\ell^p$ directed spanning forest (DSF) of dimension $d\geq 2$ is an oriented random geometric graph whose vertex set is given by a homogeneous Poisson point process $\mathcal N$ on $\mathbb R^d$ and whose edges consist of all pairs $(x, y)\in\mathcal N^2$ such that $y$ is the closest point to $x$ in $\mathcal N$ for the $\ell^p$ distance among points with a strictly larger $e_d$ coordinate. First introduced by Baccelli and Bordenave in 2007 in the case $p=d=2$, this g…

Le trafic est perturbé de Dourdan La Forêt vers Juvisy.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne d'un trainvers St Chéron.
🤖 17/06 19:41

Horizon3.ai, whose AI-based penetration testing platform NodeZero helps find and exploit attack paths in production systems, raised a $100M Series D led by NEA (Chris Metinko/Axios)
https://www.axios.com/pro/enterprise-software-deals/202…

Exclusive: Horizon3.ai raises $100M Series D
The company is using AI to improve cybersecurity.

Un train stationne Š Gaîté vers Châtillon-Montrouge en raison d'une gêne Š la fermeture des portes d'un train Š Gaîté .
🤖 17/06 12:53

Transversal packings in families of percolated hypergraphs
Jie Han, Jie Hu, Shunan Wei, Donglei Yang
https://arxiv.org/abs/2507.12740 https://

Transversal packings in families of percolated hypergraphs
Let $F$ be a strictly $1$-balanced $k$-graph on $s$ vertices with $t$ edges and $δ_{F,d}^T$ be the infimum of $δ>0$ such that for every $α>0$ and sufficiently large $n\in \mathbb{N}$, every $k$-graph system $\mathbf H=\{H_{1}, H_{2}, \dots ,H_{tn}\}$ on the same $sn$ vertices with $δ_d(H_i)\ge (δ+α)\binom{sn-d}{k-d}$, $i\in [tn]$ contains a transversal $F$-factor, that is, an $F$-factor consisting of exactly one edge from each $H_i$. In this paper we prove the following result. Let $\math…

Impact on $L$-observables of a new combined analysis of $B_{d,s}\to K^{(*)}$ form factors
Aritra Biswas, Nico Gubernari, Joaquim Matias, Gilberto Tetlalmatzi-Xolocotzi
https://arxiv.org/abs/2506.12478

Impact on $L$-observables of a new combined analysis of $B_{d,s}\to K^{(*)}$ form factors
We explore the impact of a combined analysis of $B_{d,s}\to K^{(*)}$ form factors on a set of $L$-observables. The $L$-observables are constructed from ratios of branching fractions in $B_{s}\to VV,PP,PV$ versus $B_d \to VV,PP,PV$ decays with $P=K^0,\bar{K}^0$ and $V=K^{*0},\bar{K}^{*0}$, thereby partially reducing their hadronic uncertainties. We show the change of the Standard Model predictions of the $L$-observables under different determinations of the ratio of the relevant form factors (wi…

Train supprimé :
- Train PUMA départ Montereau 07h15 arrivée Paris-Gare-de-Lyon 08h13.
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler : Pour les voyageurs au départ des gares de Montereau et St-Mammès en direction de Paris-Gare-de-Lyon TER 891210 départ Montereau 07h45, passage Melun 08h14, arrivée Paris-Gare-de-Lyon 08h43
Pour plus d'informations sur cette perturbation, consultez le fil X de la ligne.
Motif : panne d'un…

Permutation invariance in last-passage percolation and the distribution of the Busemann process
Erik Bates, Elnur Emrah, James Martin, Timo Sepp\"al\"ainen, Evan Sorensen
https://arxiv.org/abs/2506.12641

Permutation invariance in last-passage percolation and the distribution of the Busemann process
In i.i.d. exponential last-passage percolation, we describe the joint distribution of Busemann functions, over all edges and over all directions, in terms of a joint last-passage problem in a finite inhomogeneous environment. More specifically, the Busemann increments within a $k\times\ell$ grid, and associated to $d$ different directions, are equal in distribution to a particular collection of last-passage increments inside a $(k+d-1)\times(\ell+d-1)$ grid. The joint Busemann distribution was …

Le trafic est perturbé entre Juvisy et Dourdan La Forêt dans les 2 sens.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne d'un passage Š niveau dans le secteur de La Norville (dysfonctionnement sur les infrastructures du réseau ferroviaire).
🤖 18/06 18:24

Gravity-mediated entanglement via infinite-dimensional systems
Stefan L. Ludescher, Leon D. Loveridge, Thomas D. Galley, Markus P. M\"uller
https://arxiv.org/abs/2507.13201

Gravity-mediated entanglement via infinite-dimensional systems
There has been a wave of recent interest in detecting the quantum nature of gravity with table-top experiments that witness gravitationally mediated entanglement. Central to these proposals is the assumption that any mediator capable of generating entanglement must itself be nonclassical. However, previous arguments for this have modelled classical mediators as finite, discrete systems such as bits, which excludes physically relevant continuous and infinite-dimensional systems such as those of …

Un train stationne Š Guy Môquet vers Saint-Denis – Université en raison de l'actionnement d'un signal d'alarme .
🤖 17/07 15:03

Maximal sets of a given diameter in Hamming cubes
Boris Bukh, Aleksandre Saatashvili
https://arxiv.org/abs/2507.10828 https://arxiv.o…

Maximal sets of a given diameter in Hamming cubes
A subset of the Hamming cube over $n$-letter alphabet is said to be $d$-maximal if its diameter is $d$, and adding any point increases the diameter. Our main result shows that each $d$-maximal set is either of size at most $(n+o(n))^d$ or contains a non-trivial Hamming ball. The bound of $(n+o(n))^d$ is asymptotically tight. Additionally, we give a non-trivial lower bound on the size of any $d$-maximal set and show that the number of essentially different $d$-maximal sets is finite.

Un train stationne Š Grands Boulevards vers Mairie de Montreuil en raison de l'actionnement d'un signal d'alarme .
🤖 17/07 18:53

Le trafic estmomentanément arrêté de Champ de Mars vers Biblio. F.Mitterrand.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : malaise voyageur (en gare de Musée d'Orsay).
🤖 17/06 18:06

Approximating Hamiltonian for Hartree-Fock solutions for nonrelativistic atoms
N. Q. San, O. D. Skoromnik, V. V. Triguk, I. D. Feranchuk
https://arxiv.org/abs/2506.14661

Approximating Hamiltonian for Hartree-Fock solutions for nonrelativistic atoms
In our work we construct a Hamiltonian, whose eigenstates approximate the solutions of the self-consistent Hartree-Fock equations for nonrelativistic atoms and ions. Its eigenvalues are given by completely algebraic expressions and the eigenfunctions are defined by Coulomb wave-functions orbitals. Within this approximation we compute the binding energy, ionization potentials, electron density distribution, electron density at the nucleus, and atomic scattering factors of nonrelativistic atoms a…

Un train stationne Š Saint-Denis – Université vers Saint-Denis – Université en raison de l'actionnement d'un signal d'alarme Š Saint-Denis – Université .
🤖 17/06 20:29

Stability with minuscule structure for chromatic thresholds
Jaehoon Kim, Hong Liu, Chong Shangguan, Guanghui Wang, Zhuo Wu, Yisai Xue
https://arxiv.org/abs/2506.14748

Stability with minuscule structure for chromatic thresholds
The chromatic threshold $δ_χ(H)$ of a graph $H$ is the infimum of $d>0$ such that the chromatic number of every $n$-vertex $H$-free graph with minimum degree at least $d n$ is bounded by a constant depending only on $H$ and $d$. Allen, B{ö}ttcher, Griffiths, Kohayakawa, and Morris determined the chromatic threshold for every $H$; in particular, they showed that if $χ(H)=r\ge 3$, then $δ_χ(H) \in\{\frac{r-3}{r-2},~\frac{2 r-5}{2 r-3},~\frac{r-2}{r-1}\}$. While the chromatic thresholds have…

Le trafic est ralenti de Bibliothèque F.Mitterrand vers Pontoise, St-Quentin en Yvelines et Versailles Château.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : panne d'un train.
🤖 17/06 08:55

Des trains stationnent entre La Fourche et Mairie de Saint-Ouen vers Saint-Denis – Université en raison de l'actionnement d'un signal d'alarme Š Mairie de Saint-Ouen .
🤖 18/06 18:39

Multiset Metric Dimension of Binomial Random Graphs
Austin Eide, Pawel Pralat
https://arxiv.org/abs/2507.11686 https://arxiv.org/pdf/…

Multiset Metric Dimension of Binomial Random Graphs
For a graph $G = (V,E)$ and a subset $R \subseteq V$, we say that $R$ is \textit{multiset resolving} for $G$ if for every pair of vertices $v,w$, the \textit{multisets} $\{d(v,r): r \in R\}$ and $\{d(w,r):r \in R\}$ are distinct, where $d(x,y)$ is the graph distance between vertices $x$ and $y$. The \textit{multiset metric dimension} of $G$ is the size of a smallest set $R \subseteq V$ that is multiset resolving (or $\infty$ if no such set exists). This graph parameter was introduced by Simanju…

Le trafic est fortement ralenti entre Paris Austerlitz et Pont de RungisOrly, entre Paris Austerlitz et Dourdan et entre Paris Austerlitz et Saint-Martin d'Étampes dans les 2 sens.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : individus sur les voies Š Choisy le Roi.
🤖 18/07 14:59

Des trains stationnent entre Basilique de Saint-Denis et Guy Môquet vers Saint-Denis – Université en raison de l'actionnement d'un signal d'alarme Š Basilique de Saint-Denis .
🤖 17/06 20:17

Train supprimé : - Le train JUJU au départ de Versailles Château Š 05h25 pour une arrivé Š Juvisy Š 06h32.
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler :
- Le train JUJU au départ de Versailles Château Š 05h40 pour une arrivé Š Juvisy Š 06h47.
Pour plus d'informations sur cette perturbation, consultez le fil Twitter de la ligne.
Motif : difficultés liées Š un manque de personnel.
🤖 19/06 04:00

Des trains stationnent entre Porte de Vanves et Malakoff - Plateau de Vanves vers Châtillon-Montrouge en raison de l'actionnement d'un signal d'alarme Š Malakoff - Plateau de Vanves .
🤖 19/06 01:12

Train supprimé :
-
- Le train LARA au départ de Dourdan Š 05h07 Š son départ reporté en gare de Brétigny Š 05h41.
Risque d'affluence Š bord du train suivant.
Prochain train Š circuler :
- Le train NARA au départ de Dourdan Š 05h35 Š destination de Pontoise.
Pour plus d'informations sur cette perturbation, consultez le fil Twitter de la ligne.
Motif : conditions de départ non réunies.
🤖 19/06 04:00

Un train stationne Š Châtillon-Montrouge vers Saint-Denis – Université et Asnières - Gennevilliers Les Courtilles en raison de l'actionnement d'un signal d'alarme Š Châtillon-Montrouge .
🤖 18/06 19:58

Le trafic est interrompu entre Pont de RungisOrly et Choisy-le-Roi dans les 2 sens jusqu'Š 12h et perturbé entre Choisy-le-Roi et Paris Austerlitz dans les 2 sens.
Pour plus d'informations sur cette perturbation, consultez le fil X du RER C.
Motif : Incident affectant la voie dans le secteur de Choisy lev Roi (panne sur le système d'aiguillage).
🤖 17/07 10:09