Tootfinder

Seit 30 Jahren wieder Straßenbahn https://weddingweiser.de/seit-30-jahren-wieder-strassenbahn/

heise | HBO Max im Test: Das bietet der neue Abo-Videostreamingdienst
Der Streamingdienst von HBO startet in Deutschland. Der erste Eindruck ist gut, es gibt aber auch Schwächen.
https://www.

CloudX, which uses Anthropic's Claude to automate mobile ad pricing and inventory optimization for publishers, raised a $30M Series A led by Addition (Trishla Ostwal/Adweek)
https://www.adweek.com/media/adtech-founders-raise-30-million…

Adtech Founders Raise $30 Million to Automate Mobile Ads for Publishers
CloudX enlists AI agents for ad pricing and optimizing inventory.

We ended up building an “expo”, but for Godot:
https://zirk.us/@Eyelit/115547519055762618

Aaron Rodgers, Mike Tomlin tackle questions on futures after ugly 30-6 playoff loss https://www.nfl.com/news/aaron-rodgers-mike-tomlin-tackle-questions-on-futures-after-ugly-30-6-playoff-loss

A profile of Far Out, a UK-based digital culture magazine that grew from a student blog in 2010 to ~30 full-time staff, with 20M monthly page views on average (Alice Brooker/Press Gazette)
https://pressgazette.co.uk/publishers/how-far-out-grew-…

How Far Out grew from student blog to 30 full-time staff
Far Out founder Lee Thomas says the online culture site averages 20 million page views a month and maintains traffic through Google Discover.

Palantir co-founder #Peter #Thiel has donated 👉$3m to a California lobbying group advocating AGAINST a proposed wealth tax that would target billionaires in the state.
The seven-figure contribution comes as several ultra-wealthy tech moguls have left or threatened to leave California over the tax.
Thiel, worth so…

Combinatorial Philosopher Inequalities
Enze Sun, Zhihao Gavin Tang, Yifan Wang
https://arxiv.org/abs/2510.10039 https://arxiv.org/pdf/2510.10039

Combinatorial Philosopher Inequalities
In online combinatorial allocation, agents arrive sequentially and items are allocated in an online manner. The algorithm designer only knows the distribution of each agent's valuation, while the actual realization of the valuation is revealed only upon her arrival. Against the offline benchmark, Feldman, Gravin, and Lucier (SODA 2015) designed an optimal $0.5$-competitive algorithm for XOS agents. An emerging line of work focuses on designing approximation algorithms against the (computational…

Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk
Shilong Huang, Jiawei Chen, Jinsong Yang
https://arxiv.org/abs/2510.09956

Image of a quantum-corrected black hole without Cauchy horizons illuminated by a static thin accretion disk
Latest advances in effective quantum gravity propose a quantum-corrected black hole solution that avoids Cauchy horizons. In this paper, we study the image of the black hole and explore the influence of the quantum parameter $ζ$ on its image. First, we investigate the influence of $ζ$ on the event horizon, photon sphere, critical impact parameter, and innermost stable circular orbit associated with the black hole. We find that all these quantities exhibit an increase with increasing $ζ$. Mea…

Btw: I do care about every comment under my photos. Even if its just a "wow" or an emoji. All (positive) reactions make me smile.
Please never underestimate the impact of your reactions.

TIL: @… was sold, to the highest bidder. At least one in the EU. It could have been much worse.
#Threema

Mit #KI im #Job geht die Zeit auch viel schneller vorbei, weil man immer jemand zum diskutieren hat.

Teile und Ärsche

Der Süden will nichts wissen von Solidarität mit dem Norden bezüglich Putins Angriffskrieg.
Der Norden will nichts wissen von Solidarität mit dem Süden bezüglich Geflüchteten.
Was für ein Fehler.
😞
#Solidarität #Putin

Guten Morgen, Hardrocker.

Surfaces and Hypersurfaces with Prescribed Radial Mean Curvature
Marcelo Lopes Ferro, Armando M. V. Corro
https://arxiv.org/abs/2510.11669 https://arxiv.or…

Surfaces and Hypersurfaces with Prescribed Radial Mean Curvature
In this work, we provide a local classification of certain special classes of surfaces determined by the prescription of the radial mean curvature in terms of the height and angle functions. Moreover, we introduce a special class of hypersurfaces, and we also provide a local classification of these three-dimensional hypersurfaces whose second mean curvature vanishes. Finally, we present a recursive method for constructing such hypersurfaces, extending the same curvature prescription approach to…

⚡️ THOUSANDS OF FAMILIES WITHOUT POWER! 450 DRONES & 30 MISSILES on Ukraine!: https://benborges.xyz/2025/12/13/thousands-of-families-without-power.html

Wer in Berlin nach dem tödlichen antisemitischen Anschlag am Bondi Beach in #Sydney heute dabei sein möchte, wie bei einem Solidaritätsgebet für die Opfer die erste Chanukka-Kerze öffentlich entzündet wird: 17:30 Uhr Pariser Platz/Brandenburger Tor

The inner working of parquette/arrow data in R: #rstats

Unpacking Arrow Datasets – Notes from a data witch
A comment on how Datasets work in Apache Arrow. I’m not really sure who the audience for this one. Am I just talking to myself? Probably.

Der zweite Plenartag des Doppelplenums des 17. Landtags von Baden-Württemberg startet heute um 9.30. Die FDP will noch mehr Bürokratie abbauen, die AfD zurück zum Dieselmotor, und dann gibt es eine ganze Reihe neu eingebrachter Gesetzentwürfe, u.a. zur Fußfessel im Kontext sexualisierte Gewalt und zum Schulgesetz. Stream weiter unter https://www.…

From ⁨⁨⁨⁨⁨#AnnafromUkraine⁩⁩⁩⁩⁩ @AnnafromUkraine@youtube.com
RUSSIAN ARMY AN-22 CRASHES, PUTIN ORDERS MASS MILITARY TRAINING Vlog 1253: War in #Ukraine
A military transport plane #An22 crashed i…

CloudX, which uses Anthropic's Claude to automate mobile ad pricing and inventory optimization for publishers, raised a $30M Series A led by Addition (Trishla Ostwal/Adweek)
https://www.adweek.com/media/adtech-founders-raise-30-million…

Adtech Founders Raise $30 Million to Automate Mobile Ads for Publishers
CloudX enlists AI agents for ad pricing and optimizing inventory.

Come on folks,
We can do this here
https://bsky.app/profile/coolsprings.bsky.social/post/3m7vuknidem2n

Sources: Samsung raised the prices of some memory chips by 30%- 60% compared to September, amid shortages, adding to stress for companies building data centers (Reuters)
https://www.reuters.com/world/china/samsung-hikes-m…

Texans-Steelers on Wild Card Weekend Monday: What We Learned from Houston's 30-6 win https://www.nfl.com/news/texans-steelers-on-wild-card-weekend-monday-what-we-learned-from-houston-s-30-6-win

Crane Scheduling Problem with Energy Saving
Yixiong Gao, Florian Jaehn, Minming Li, Wenhao Ma, Xinbo Zhang
https://arxiv.org/abs/2510.10989 https://arxiv.o…

Crane Scheduling Problem with Energy Saving
During loading and unloading steps, energy is consumed when cranes lift containers, while energy is often wasted when cranes drop containers. By optimizing the scheduling of cranes, it is possible to reduce energy consumption, thereby lowering operational costs and environmental impacts. In this paper, we introduce a single-crane scheduling problem with energy savings, focusing on reusing the energy from containers that have already been lifted and reducing the total energy consumption of the e…

Mean curvature flow converging to an minimizing cone and its Hardt-Simon foliation
Jiuzhou Huang
https://arxiv.org/abs/2510.11430 https://arxiv.org/pdf/251…

Mean curvature flow converging to an minimizing cone and its Hardt-Simon foliation
In this paper, we construct a family of mean curvature flow which converges to an area minimizing, strictly stable hypercone $\mC$ after type I rescaling, and converges to the Hardt-Simon foliation of the cone after a type II rescaling provided the cone satisfies some technique conditions. The difference from Velázquez's previous results is that we drop the symmetry condition on the cone.

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[2/2]:
- The Low Energy Limit of BFSS Quantum Mechanics
Oscar J. C. Dias, Jorge E. Santos
ht…

Tolino Flip: Fernbedienung für den E-Reader angekündigt
Bequemes Umblättern, wenn man den E-Reader nicht in der Hand hat: Dafür soll sich die Tolino Flip eignen, der für 30 Euro vorbestellt werden kann.
https://www…

Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination
Ilias Diakonikolas, Chao Gao, Daniel M. Kane, John Lafferty, Ankit Pensia
https://arxiv.org/abs/2510.10665

Information-Computation Tradeoffs for Noiseless Linear Regression with Oblivious Contamination
We study the task of noiseless linear regression under Gaussian covariates in the presence of additive oblivious contamination. Specifically, we are given i.i.d.\ samples from a distribution $(x, y)$ on $\mathbb{R}^d \times \mathbb{R}$ with $x \sim \mathcal{N}(0,\mathbf{I}_d)$ and $y = x^\top β+ z$, where $z$ is drawn independently of $x$ from an unknown distribution $E$. Moreover, $z$ satisfies $\mathbb{P}_E[z = 0] = α>0$. The goal is to accurately recover the regressor $β$ to small $\ell_2…

Marked Poincar\'e rigidity near hyperbolic metrics and injectivity of the Lichnerowicz Laplacian in dimension 3
Karen Butt, Alena Erchenko, Tristan Humbert, Thibault Lefeuvre, Amie Wilkinson
https://arxiv.org/abs/2510.11399

Marked Poincaré rigidity near hyperbolic metrics and injectivity of the Lichnerowicz Laplacian in dimension 3
Let $M$ be a compact manifold without boundary equipped with a Riemannian metric $g$ of negative curvature. In this paper, we introduce the marked Poincaré determinant (MPD), a homothety invariant of $g$ depending on differentiable periodic data of its geodesic flow. The MPD associates to each free homotopy class of closed curves in $M$ a number which measures the unstable volume expansion of the geodesic flow along the associated closed geodesic. We prove a local MPD rigidity result in dimens…

Replaced article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/2]:
- Tetrads in SU(3) X SU(2) X U(1) Yang-Mills geometrodynamics
Alcides Garat
https://…

Italien: Geldstrafe gegen Amazon auf 752,4 Millionen Euro verringert
Die italienische Kartellbehörde AGCM hat die Geldstrafe gegen den US-Konzern Amazon deutlich verringert. Dem war ein Gerichtsurteil vorausgegangen.

Explicit Min-wise Hash Families with Optimal Size
Xue Chen, Shengtang Huang, Xin Li
https://arxiv.org/abs/2510.10431 https://arxiv.org/pdf/2510.10431

Explicit Min-wise Hash Families with Optimal Size
We study explicit constructions of min-wise hash families and their extension to $k$-min-wise hash families. Informally, a min-wise hash family guarantees that for any fixed subset $X\subseteq[N]$, every element in $X$ has an equal chance to have the smallest value among all elements in $X$; a $k$-min-wise hash family guarantees this for every subset of size $k$ in $X$. Min-wise hash is widely used in many areas of computer science such as sketching, web page detection, and $\ell_0$ sampling. …

Symplectic groups over Lie subgroups of involutive algebras
Eugen Rogozinnikov
https://arxiv.org/abs/2510.11267 https://arxiv.org/pdf/2510.11267

Symplectic groups over Lie subgroups of involutive algebras
We introduce the symplectic group $\mathrm{Sp}_2(G, σ)$ associated to a Lie subgroup $G$ of a (possibly noncommutative) associative algebra $A$ equipped with an anti-involution $σ$. Our construction recovers several classical Lie groups as special cases, and in particular provides new realizations of spin groups as instances of $\mathrm{Sp}_2(G, σ)$ for suitable subgroups $G$ of the Clifford algebra. This case is not covered by the framework, which focuses on the specific situation $G = A^\t…

Crosslisted article(s) found for gr-qc. https://arxiv.org/list/gr-qc/new
[1/1]:
- Elusive Plunges and Heavy Intermediate-mass-ratio Inspirals from Single and Binary Supermassive B...
Lazaros Souvaitzis, Antti Rantala, Thorsten Naab

Es wird ernst auf dem Weg zurück zum Mond 🌕🚀: Die NASA startet in die finale Phase der Vorbereitungen für Artemis‑2.
Zum Artikel: https://heise.de/-11137593?wt_mc=sm.red.ho.mastodon.mastodon.md_beitraege.md_beitraege&utm_sou…

Simple Length-Constrained Expander Decompositions
Greg Bodwin, Bernhard Haeupler, D Ellis Hershkowitz, Zihan Tan
https://arxiv.org/abs/2510.10227 https://a…

Comparison Theorems and the Intermediate Ricci Curvature Assumption
Yujie Wu
https://arxiv.org/abs/2510.11205 https://arxiv.org/pdf/2510.11205

Comparison Theorems and the Intermediate Ricci Curvature Assumption
We explore the notion of m-intermediate Ricci curvature assumption introduced by Brendle-Hirsch-Johne further. If a manifold has non-negative m-intermediate Ricci curvature and stable weighted slicing of order m-1, then the last slice has almost non-negative Ricci curvature in the spectral sense. We prove comparison theorems on the diameter and in-radius bound for stable weighted (respectively free boundary) slicing in such manifolds (respectively with mean convex boundary).

Hybridization of second-order gravitational self-force and numerical relativity waveforms for quasi-circular and non-spinning black hole binaries
Hector Iglesias, Leanne Durkan, Deirdre Shoemaker
https://arxiv.org/abs/2510.11685

Hybridization of second-order gravitational self-force and numerical relativity waveforms for quasi-circular and non-spinning black hole binaries
In the past few decades, the waveform community has made advances in producing waveforms that span the inspiral-merger-ringdown of comparable-mass-ratio black hole binaries using advances in post-Newtonian and numerical relativity (NR) theory along with state-of-the-art gravitational wave models. Current methods in NR have shown progress towards producing stable simulations reaching mass ratios of 1:100; however, the computational cost becomes prohibitively expensive as the mass ratio and the l…

Galaxy S25: Samsung verkauft generalüberholte Smartphones in Deutschland
Samsung verkauft ab sofort auch generalüberholte Smartphones in Deutschland. Den Anfang macht die Galaxy-S25-Reihe. Vor dem Kauf lohnt sich ein Preischeck.

Distributed clustering in partially overlapping feature spaces
Alessio Maritan, Luca Schenato
https://arxiv.org/abs/2510.09799 https://arxiv.org/pdf/2510.0…

Distributed clustering in partially overlapping feature spaces
We introduce and address a novel distributed clustering problem where each participant has a private dataset containing only a subset of all available features, and some features are included in multiple datasets. This scenario occurs in many real-world applications, such as in healthcare, where different institutions have complementary data on similar patients. We propose two different algorithms suitable for solving distributed clustering problems that exhibit this type of feature space heter…

Construction of harmonic coordinates for weak immersions
Dorian Martino, Tristan Rivi\`ere
https://arxiv.org/abs/2510.10601 https://arxiv.org/pdf/2510.1060…

Construction of harmonic coordinates for weak immersions
We prove that any weak immersion in the critical Sobolev space $W^{\frac{n}{2}+1,2}(\mathbb{R}^n;\mathbb{R}^d)$ in even dimension $n\geq 4$, has global harmonic coordinates if its second fundamental form is small in the Sobolev space $W^{\frac{n}{2}-1,2}(\mathbb{R}^n;\mathbb{R}^d)$. This is a generalization to arbitrary even dimension $n\ge 4$ of a famous result of Müller--Sverak \cite{muller1995} for $n=2$. The existence of such coordinates is a key tool used by the authors in \cite{MarRiv202…

Scattering and Absorption of Standard Model Fields by Brane-Localized Schwarzschild--de Sitter Black Holes
Alexey Dubinsky
https://arxiv.org/abs/2510.11643 https://

Scattering and Absorption of Standard Model Fields by Brane-Localized Schwarzschild--de Sitter Black Holes
We investigate the propagation and absorption of Standard Model fields -- scalar, electromagnetic, and Dirac -- on a 3+1-dimensional brane embedded in a higher-dimensional Schwarzschild--de Sitter (SdS) spacetime. Using the effective four-dimensional projection of the Tangherlini metric, we compute grey-body factors (GBFs) and absorption cross-sections for each spin sector by means of the sixth-order WKB method and, independently, via the recently proposed correspondence between quasinormal mod…

Zahlen, bitte! 14 Strafzettel als Keimzelle für die norwegische E-Autowende
Norwegen hat EU-weit die mit Abstand größte Anzahl E-Autos auf ihren Straßen. Den Anfang zu dieser E-Wende schufen die Band a-ha und ein umgebauter Fiat Panda.

[2025-10-14 Tue (UTC), 12 new articles found for cs.DS Data Structures and Algorithms]
toXiv_bot_toot

Complete K\"ahler manifolds with nonnegative Ricci curvature II
Gang Liu
https://arxiv.org/abs/2510.10600 https://arxiv.org/pdf/2510.10600

Complete Kähler manifolds with nonnegative Ricci curvature II
We study rigidity on certain Kähler manifolds with nonnegative Ricci curvature. Among others things, we show that a complete noncompact Kähler surface with nonnegative Ricci curvature, Euclidean volume growth and quadratic curvature decay is biholomorphic to resolution of an affine algebraic variety.

Note on Kaniadakis Holographic Dark Energy
A. Sheykhi, A. Asvar, E. Ebrahimi
https://arxiv.org/abs/2510.11569 https://arxiv.org/pdf/2510.11569

Note on Kaniadakis Holographic Dark Energy
It is well-known that any modification to the entropy expression not only change the energy density of the holographic dark energy, but also modifies the cosmological field equations through thermodynamics-gravity correspondence. Here we revisit the Kaniadakis holographic dark energy (KHDE) in the background of the modified Kaniadakis cosmology by incorporating the effects of Kaniadakis entropy into the Friedmann equations. We choose the Hubble radius, $L=H^{-1}$, as system's IR cutoff and dete…

Chinesische Software berechnet die Uhrzeit auf dem Mond
Wegen der geringeren Schwerkraft vergeht Zeit auf dem Mond schneller als auf der Erde. Eine neue Software synchronisiert die Uhren auf beiden Himmelskörpern.
h…

Weak immersions with second fundamental form in a critical Sobolev space
Dorian Martino, Tristan Rivi\`ere
https://arxiv.org/abs/2510.10594 https://arxiv.o…

Weak immersions with second fundamental form in a critical Sobolev space
We develop the analysis of Lipschitz immersions of $n$-dimensional manifolds into $\mathbb{R}^d$ having their second fundamental forms bounded in the critical Sobolev space $W^{\frac{n}{2}-1,2}$ in dimension $n\geq 4$ even and any codimension. We prove that, while such a weak immersion is not necessary $C^1$, it generates a $C^1$ differential structure on the domain. More precisely, for any such an immersion, there is an atlas in which the first fundamental form is continuous and the transition…

Crosslisted article(s) found for cs.DS. https://arxiv.org/list/cs.DS/new
[1/1]:
- Quantum Circuit for Quantum Fourier Transform for Arbitrary Qubit Connectivity Graphs
Kamil Khadiev, Aliya Khadieva, Vadim Sagitov, Kamil Khasanov

Gravitational wave echos from physical black holes
Yu-Song Cao, YanXia Liu, Ding-Fang Zeng
https://arxiv.org/abs/2510.11518 https://arxiv.org/pdf/2510.1151…

Gravitational wave echos from physical black holes
Gravitational wave echos from the coalescence of black hole binaries are often viewed as signals beyond general relativity or standard model. In this work, we show that these echos are inevitable in the black holes coalescence described by standard general relativity. This is because it is the physical black holes formed through gravitational collapse serve as the true description of astronomical black holes. For physical black holes, only their asymptotic structure before the horizon forms are…

Amazon Prime: Nutzer können sich für Sammelklage gegen Preiserhöhung eintragen
Die Verbraucherzentrale NRW führt eine Sammelklage gegen eine aus ihrer Sicht unzulässige Preiserhöhung bei Amazon Prime an. Nun kann man sich dafür eintragen.

General Chen's first inequality and applications for Riemannian maps
Ravindra Singh, Kiran Meena, Kapish Chand Meena
https://arxiv.org/abs/2510.10505 https://

General Chen's first inequality and applications for Riemannian maps
In this paper, we present a general form of Chen's first inequality (in short, CFI) for Riemannian maps between Riemannian manifolds. Further, using this general form, we obtain the CFI for Riemannian maps when target spaces are generalized complex and generalized Sasakian space forms. Consequently, we also obtain the CFI for Riemannian maps when the target spaces are real, complex, real Kähler, Sasakian, Kenmotsu, cosymplectic, and almost $C(α)$ space forms. Moreover, we also discuss geometr…

Continual Release of Densest Subgraphs: Privacy Amplification & Sublinear Space via Subsampling
Felix Zhou
https://arxiv.org/abs/2510.11640 https://arx…

Continual Release of Densest Subgraphs: Privacy Amplification & Sublinear Space via Subsampling
We study the sublinear space continual release model for edge-differentially private (DP) graph algorithms, with a focus on the densest subgraph problem (DSG) in the insertion-only setting. Our main result is the first continual release DSG algorithm that matches the additive error of the best static DP algorithms and the space complexity of the best non-private streaming algorithms, up to constants. The key idea is a refined use of subsampling that simultaneously achieves privacy amplification…

Non-exotic wormholes in $f(R,L_m)$ gravity
Sara Rastgoo, Foad Parsaei
https://arxiv.org/abs/2510.11487 https://arxiv.org/pdf/2510.11487

Non-exotic wormholes in $f(R,L_m)$ gravity
In the present analysis, we examine the potential existence of generalized wormhole models within the framework of newly developed extended $f(R,L_m)$ gravity. We investigate both a linear model, $f(R,L_m)=αR+βL_m$, and a non-linear model, $f(R,L_m)=\frac{R}{2}+ L^α_m$, to analyze traversable wormholes. By employing the variational approach, we derive modified versions of the field equations under the influence of an anisotropic matter source. A power-law shape function is applied, resulting…

Is a complete Riemannian manifold with positively pinched Ricci curvature compact
Lei Ni
https://arxiv.org/abs/2510.10279 https://arxiv.org/pdf/2510.10279

Is a complete Riemannian manifold with positively pinched Ricci curvature compact
A result of R. Hamilton asserts that any convex hypersurface in an Euclidian space with pinched second fundamental form must be compact. Partly inspired by this result, twenty years ago, in \cite{Ancient}, Remark 3.1 on page 650, the author formulated a problem asking if a complete Riemannian manifold with positively pinched Ricci curvature must be compact. There are several recent progresses, which are all rigidity results concerning the flat metric except the special case for the steady solit…

Sublinear Metric Steiner Forest via Maximal Independent Set
Sepideh Mahabadi, Mohammad Roghani, Jakub Tarnawski, Ali Vakilian
https://arxiv.org/abs/2510.11627 https://

Sublinear Metric Steiner Forest via Maximal Independent Set
In this work we consider the Metric Steiner Forest problem in the sublinear time model. Given a set $V$ of $n$ points in a metric space where distances are provided by means of query access to an $n\times n$ distance matrix, along with a set of $k$ terminal pairs $(s_1,t_1), \dots, (s_k,t_k)\in V\times V$, the goal is to find a minimum-weight subset of edges that connects each terminal pair. Although sublinear time algorithms have been studied for estimating the weight of a minimum spanning tre…

Exponential Suppression of the Unruh Effect and Geometric Enhancement in a Fermionic Cavity QED Setup
Vladimir Toussaint
https://arxiv.org/abs/2510.11460 https://

Exponential Suppression of the Unruh Effect and Geometric Enhancement in a Fermionic Cavity QED Setup
The Unruh effect -- the prediction that an accelerated observer perceives the vacuum as a thermal bath -- remains one of the most profound yet experimentally unverified consequences of quantum field theory. This work analyzes the decay of an excited state within a uniformly accelerated cavity to explain the historical null results and identify an alternative measurable signature. We model a massless Dirac field confined to a uniformly accelerated cavity, coupled to an external massive Dirac fie…

OpenAI und Anthropic vertiefen Interesse an Gesundheitsdaten
Nach ChatGPT Health übernimmt OpenAI eine Gesundheits-App. Anthropic bietet nun ebenfalls Claude for Healthcare an.
https://www.

The rolling tangent space, a forgotten vision on geodesics and parallel transport?
Constant Pinteaux, Gijs M. Tuynman
https://arxiv.org/abs/2510.10247 https://

The rolling tangent space, a forgotten vision on geodesics and parallel transport?
Given a submanifold $M\subset \mathbf{R}^ν$, a curve $γ:I\to M$ and tangent vectors $v$ along $γ$, we roll the tangent space along $γ$. In doing so, we get an imprint of $γ$ on the tangent space, as well as an imprint of tangent vectors. We show that $γ$ is a geodesic on $M$ if and only if this trace/imprint on the (affine) tangent space is a straight line and that $v$ is a set of parallel vectors if and only if their imprint on the tangent space is constant. In other words, in the view o…

Sublinear Algorithms for Estimating Single-Linkage Clustering Costs
Pan Peng, Christian Sohler, Yi Xu
https://arxiv.org/abs/2510.11547 https://arxiv.org/pd…

Sublinear Algorithms for Estimating Single-Linkage Clustering Costs
Single-linkage clustering is a fundamental method for data analysis. Algorithmically, one can compute a single-linkage $k$-clustering (a partition into $k$ clusters) by computing a minimum spanning tree and dropping the $k-1$ most costly edges. This clustering minimizes the sum of spanning tree weights of the clusters. This motivates us to define the cost of a single-linkage $k$-clustering as the weight of the corresponding spanning forest, denoted by $\mathrm{cost}_k$. Besides, if we consider …

Charged wormholes can be long-lived
Jose Luis Bl\'azquez-Salcedo, Luis Manuel Gonz\'alez-Romero, Fech Scen Khoo, Jutta Kunz, Pablo Navarro Moreno
https://arxiv.org/abs/2510.11406

Charged wormholes can be long-lived
Ellis-Bronnikov wormholes suffer from an unstable radial mode. Here we investigate the evolution of the unstable mode(s) for charged wormholes. We show that the instability remains in the presence of charge, but exhibits a very fast decrease to zero, suggesting that wormholes that approach a near-extremal metric could be long-lived. For so-called supercritical wormholes, two purely imaginary unstable modes merge and continue with degenerate imaginary parts and opposite real parts. By analogy, w…

Vor Evakuierung aus medizinischen Gründen: ISS-Kommando übergeben
Am späten Mittwochabend sollen vier Personen vorzeitig die ISS verlassen und zur Erde zurückkehren. Nun wurden Sachen gepackt und das Kommando übergeben.

Local regularity of spacetimes under Ricci curvature and Lie derivative conditions
Bing-Long Chen
https://arxiv.org/abs/2510.09946 https://arxiv.org/pdf/25…

Local regularity of spacetimes under Ricci curvature and Lie derivative conditions
In this paper, we derive a general regularity estimate for any 4-d spacetime, in terms of a priori bounds of the Ricci curvature and Lie derivative of the Lorentzian metric with respect to an arbitrary timelike vector field.

An $O(n\log n)$ Algorithm for Single-Item Capacitated Lot Sizing with a One-Breakpoint All-Units Discount and Non-Increasing Prices
Kleitos Papadopoulos
https://arxiv.org/abs/2510.11368

An $O(n\log n)$ Algorithm for Single-Item Capacitated Lot Sizing with a One-Breakpoint All-Units Discount and Non-Increasing Prices
This paper addresses the single-item capacitated lot sizing problem with a 1-breakpoint all-units quantity discount in a monotonic setting where the purchase prices are non-increasing over the planning horizon. For this case, we establish several novel properties of the optimal solution and develop a hybrid dynamic programming approach that maintains a compact representation of the solution space by storing only essential information about the states and using linear equations for intermediate …

A note on the Penrose process in rotating regular black holes
Anjan Kar, Ayan Dey, Sayan Kar
https://arxiv.org/abs/2510.11364 https://arxiv.org/pdf/2510.11…

A note on the Penrose process in rotating regular black holes
We investigate the Penrose process of energy extraction in the context of rotating regular black holes. For the Neves-Saa class of regular black hole solutions, which includes the Bardeen, Hayward and Fan-Wang spacetimes as special cases, the extraction efficiency is bounded above by the known value for Kerr spacetime. However, in the case of a new rotating regular black hole which does not have a Schwarzschild singular limit for zero rotation, the extraction efficiency can indeed become very l…

Microsoft warnt Chinas Dominanz in Schwellenländern
Microsoft-Präsident Brad Smith warnt vor „KI-Kluft“: China unterbietet US-Anbieter in Schwellenländern durch Subventionen und festigt seine Vorreiterrolle.
https://ww…

Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
Ana-Maria Boldeanu, Mircea Neagu
https://arxiv.org/abs/2510.09843 https://arxiv.org…

Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
The aim of this paper is to develop, via the least squares variational method, the Lagrange-Hamilton geometry (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by a Lotka-Volterra dynamical system, a simple model of the population dynamics of species competing for some common resource. From a geometrical point of view, the Jacobi stability of this system is discussed.

Online Allocation with Concave, Diminishing-Returns Objectives
Kalen Patton
https://arxiv.org/abs/2510.11266 https://arxiv.org/pdf/2510.11266

Online Allocation with Concave, Diminishing-Returns Objectives
Online resource allocation problems are central challenges in economics and computer science, modeling situations in which $n$ items arriving one at a time must each be immediately allocated among $m$ agents. In such problems, our objective is to maximize a monotone reward function $f(\mathbf{x})$ over the allocation vector $\mathbf{x} = (x_{ij})_{i, j}$, which describes the amount of each item given to each agent. In settings where $f$ is concave and has "diminishing returns" (monotone decreas…

P-V Criticality and Microstructure of Hayward Black Holes in Anti-de Sitter Space
Haximjan Abdusattar
https://arxiv.org/abs/2510.11319 https://arxiv.org/pd…

P-V Criticality and Microstructure of Hayward Black Holes in Anti-de Sitter Space
In this study, we investigate the $P$-$V$ criticality and Ruppeiner geometry in the extended phase space of Hayward anti-de Sitter (AdS) black holes. Through thermodynamic analysis, we confirm that Hayward-AdS black holes undergo distinct $P$-$V$ phase transitions and exhibit well-defined critical phenomena in the vicinity of their critical points. These behaviors are characterized by four critical exponents that typically obey the scaling laws predicted by mean-field theory--indicating a consi…

Das Metaverse muss sparen: Echte Kündidungen bei der virtuellen Realität
Das Metaverse ist jetzt nicht so der Bringer. Das muss auch Mark Zuckerberg erkennen. Bald rollt die Kündigungswelle.
https:…

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
Mihail Cocos
https://arxiv.org/abs/2510.09648 https://arxiv.org/pdf/2510.09648

Affine-Orthogonal Manifolds and Deformation to Levi-Civita Connections
We study a class of affine manifolds equipped with a flat affine connection $\nabla$ and a global Riemannian metric $g$ that is diagonal in local affine coordinates. These structures are closely related to \emph{Hessian manifolds}, where the metric locally arises as the Hessian of a smooth potential. For example, the Hopf manifold $(\mathbb{R}^{n+1}\setminus \{0\}) / \langle x \mapsto 2x \rangle$ with metric $g = (\sum_i x_i^2)^{-1} \sum_i dx_i^2$ admits a proper deformation of $\nabla$ into it…

Cyclic universe and uniform rate inflation in loop quantum cosmology
Bikash Chandra Paul, Sahil Saini
https://arxiv.org/abs/2510.11230 https://arxiv.org/pd…

Cyclic universe and uniform rate inflation in loop quantum cosmology
We investigate uniform rate inflationary universe in the framework of Loop quantum cosmology. The potential for uniform rate inflation in a loop quantized FRW spacetime turns out to be a polymerized version of the corresponding potential in general relativity, which mimics the potentials for a polymerized scalar field and that for hybrid natural inflation (HNI). The potential leads to a cyclic universe with identical epochs separated by quantum bounces which replace the classical singularity. T…

Replaced article(s) found for cs.DS. https://arxiv.org/list/cs.DS/new
[1/1]:
- Computing Vertex and Edge Connectivity of Graphs Embedded with Crossings
Therese Biedl, Prosenjit Bose, Karthik Murali

"Splinter Cell: Deathwatch" auf Netflix: Nostalgisches Blutbad
Die neue "Splinter Cell"-Zeichentrickserie von Netflix holt einen alten Superspion aus dem Ruhestand. Das klappt besser als befürchtet.

[2025-10-14 Tue (UTC), 14 new articles found for math.DG Differential Geometry]
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Reconstructing and resampling: a guide to utilising posterior samples from gravitational wave observations
Gregory Ashton
https://arxiv.org/abs/2510.11197 https://

Reconstructing and resampling: a guide to utilising posterior samples from gravitational wave observations
The LIGO, Virgo, and KAGRA (LVK) gravitational-wave observatories have opened new scientific research in astrophysics, fundamental physics, and cosmology. The collaborations that build and operate these observatories release the interferometric strain data as well as a catalogue of observed signals with accompanying Bayesian posterior distributions. These posteriors, in the form of equally-weighted samples, form a dataset that is used by a multitude of further analyses seeking to constrain the …

Schwimmende vertikale Photovoltaikanlage mit 1,87 MW auf Kiessee eröffnet
Eine schwimmende Photovoltaikanlage auf einem See liefert durch vertikal angeordnete Solarmodule mehr Strom auf einer kleineren Fläche als herkömmliche Anlagen.

A novel quantum memory effect and thermal modulation in graviton-mediated entanglement
Mainak Dutta, Partha Nandi, Bibhas Ranjan Majhi
https://arxiv.org/abs/2510.11075 https://

A novel quantum memory effect and thermal modulation in graviton-mediated entanglement
A central challenge in probing the quantum nature of gravity is to distinguish effects that are genuinely quantum from those that can be explained classically. In this work, we study how quantized gravitational waves interact with thermal quantum systems, modeled as harmonic oscillators. We show that, unlike classical waves, quantized gravitons generate entanglement and leave behind a persistent ``graviton-induced quantum memory'' even after the wave has passed. This effect is further shaped by…

Replaced article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- Stability for $ \Phi_{S, F,H} $ harmonic map and $ \Phi_{T, F,H} $ harmonic map
Xiangzhi Cao

UK: Gesichtserkennung von Clearview unterliegt europäischen Datenschutzregeln
Ein britisches Berufungsgericht hat eine vom UK-Datenschutzbeauftragten verhängte Millionenstrafe gegen die US-Firma Clearview AI wegen Mega-Scraping bestätigt.

Detecting gravitational waves with spin systems
Jiamin Liang, Mingqiu Li, Yu Gao, Wei Ji, Sichun Sun, Qi-Shu Yan
https://arxiv.org/abs/2510.11009 https://a…

Detecting gravitational waves with spin systems
The observation of gravitational waves has opened a new window into the Universe through gravitational-wave astronomy. However, high-frequency gravitational waves remain undetected. In this work, we propose that spin systems can be employed to detect gravitational waves in this unexplored frequency regime. We derive the spin's response to gravitational waves and identify three distinct effects: the well-known Gertsenshtein effect, a metric-induced interaction, and the gravitational spin Hall ef…

Crosslisted article(s) found for math.DG. https://arxiv.org/list/math.DG/new
[1/1]:
- From amoebas to pluripotential theory on hybrid analytic spaces
Sebastien Boucksom

Spinning into Quantum Geometry: Dirac and Wheeler-DeWitt Dynamics from Stochastic Helicity
Partha Nandi, Partha Ghose, Francesco Petruccione
https://arxiv.org/abs/2510.10836 htt…

Spinning into Quantum Geometry: Dirac and Wheeler-DeWitt Dynamics from Stochastic Helicity
Spin networks in loop quantum gravity provide a kinematical picture of quantum geometry but lack a natural mechanism for dynamical Dirac-type evolution, while the Wheeler--DeWitt equation typically enters only as an imposed constraint. We propose a stochastic framework in which each spin-network edge carries helicity-resolved amplitudes -- two-state internal labels that undergo Poisson-driven flips. The resulting coupled master equations, after analytic continuation and the introduction of a fu…

Einstein-Maxwell Equations on Mass-Centered GCM Hypersurfaces
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
https://arxiv.org/abs/2510.10814 https://arxiv.or…

Einstein-Maxwell Equations on Mass-Centered GCM Hypersurfaces
The resolution of the nonlinear stability of black holes as solutions to the Einstein equations relies crucially on imposing the right geometric gauge conditions. In the vacuum case, the use of Generally Covariant Modulated (GCM) spheres and hypersurfaces has been successful in the proof of stability for slowly rotating Kerr spacetime. For the charged setting, our companion paper introduced an alternative mass-centered GCM framework, adapted to the additional difficulties of the Einstein-Maxwel…

Mass-Centered GCM Framework in Perturbations of Kerr(-Newman)
Allen Juntao Fang, Elena Giorgi, Jingbo Wan
https://arxiv.org/abs/2510.10811 https://arxiv.or…

Mass-Centered GCM Framework in Perturbations of Kerr(-Newman)
The nonlinear stability problem for black hole solutions of the Einstein equations critically depends on choosing an appropriate geometric gauge. In the vacuum setting, the use of Generally Covariant Modulated (GCM) spheres and hypersurfaces has played a central role in the proof of stability for slowly rotating Kerr spacetime. In this work, we develop an alternative GCM framework, that we call mass-centered, designed to overcome the breakdown of the standard GCM construction in the charged cas…

Thermal gravitational waves from warm inflation
Anupama B
https://arxiv.org/abs/2510.10727 https://arxiv.org/pdf/2510.10727

Thermal gravitational waves from warm inflation
For the first time, the possibility of generation of thermal gravitational waves from warm inflation is investigated with cosmic microwave background. Gravitons produced from the quantum fluctuations during warm inflation are found to carry the thermal features if they exist in a thermal squeezed vacuum state. Thermal squeezing reduces the amplitude of the BB mode angular power spectrum of CMB when compared with the conventional cold inflation. This work inspects the thermal nature of tensor po…

Big Bang Nucleosynthesis constraints on space-time noncommutativity
Teodora Maria Matei, Cristian Croitoru, Tiberiu Harko
https://arxiv.org/abs/2510.10685 https://

Big Bang Nucleosynthesis constraints on space-time noncommutativity
We consider the implications of the modified dispersion relations, due to the noncommutativity of the spacetime, for a photon gas filling the early Universe in the framework of the Big Bang Nucleosynthesis (BBN) processes, during the period of light elements formation. We consider three types of deformations present in the dispersion relations for the radiation gas, from which we obtain the low temperature corrections to the energy density and pressure. The cosmological implications of the modi…

Grey-body factors and absorption cross-sections of scalar and Dirac fields in the vicinity of dilaton-de Sitter black hole
Bekir Can L\"utf\"uo\u{g}lu
https://arxiv.org/abs/2510.10579

Grey-body factors and absorption cross-sections of scalar and Dirac fields in the vicinity of dilaton-de Sitter black hole
We investigate the propagation of a massive scalar field and a massless Dirac field in the geometry of a dilaton--de Sitter black hole. Starting from the covariant perturbation equations, we derive the corresponding effective potentials and analyze their dependence on the dilaton charge, field mass, and cosmological constant. Using the WKB approximation, we compute the grey-body factors and study the associated absorption cross-sections. The results show that increasing the field mass or dilato…

Cosmological Implications of Thermodynamic Split Conjecture
Oem Trivedi
https://arxiv.org/abs/2510.10441 https://arxiv.org/pdf/2510.10441

Cosmological Implications of Thermodynamic Split Conjecture
Building on initial work on the Thermodynamic Split Conjecture (TSC), which posits that black hole and cosmological horizon thermodynamics are generically inequivalent, we examine the consequences of that split for the Gibbons Hawking temperature and its role across cosmology. We consider many key results in both early and late universe cosmology and show that many important results such as those governing eternal inflation, vacuum tunneling, quantum breaking and primordial black holes can chan…

Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity
Shivangi Rathore, S. Surendra Singh
https://arxiv.org/abs/2510.10428 https://

Cosmological implications of LRS Bianchi type-I cosmological model in $f(T)$ gravity
We perform the dynamical system analysis of the Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model in f(T) gravity in the presence of energy interaction . A cosmologically viable form of $f(T)$ is chosen (where $T$ is the torsion scalar in teleparallelism) in the background of homogenous and anisotropic. For our model, we take $f(T) = T+ζT^{2}$ where $ζ$ is a constant. The evolution equations are reduced to the autonomous system of differential equations by suitable transf…

Monotonicity of Causal Killing Vectors and Geometry of ADM Mass Minimizers
Sven Hirsch, Lan-Hsuan Huang
https://arxiv.org/abs/2510.10306 https://arxiv.org/…

Monotonicity of Causal Killing Vectors and Geometry of ADM Mass Minimizers
We address two problems concerning the ADM mass-minimizing initial data sets. First, we show that the equality case of the positive mass theorem embeds into a pp-wave spacetime. Second, we show that positive Bartnik mass minimizers embed into strongly stationary vacuum spacetimes, thereby confirming the Bartnik stationary vacuum conjecture. A key ingredient is a new monotonicity formula for the Lorentzian length of a causal Killing vector field, which, among other applications, yields a strong …

Microlensing of non-singular black holes at finite size: a ray tracing approach
Jens Boos, Hao Hu
https://arxiv.org/abs/2510.10282 https://arxiv.org/pdf/25…

Microlensing of non-singular black holes at finite size: a ray tracing approach
We study the gravitational microlensing of various static and spherically symmetric non-singular black holes (and horizonless, non-singular compact objects of similar size). For pointlike sources we extend the parametrized post-Newtonian lensing framework to fourth order, whereas for extended sources we develop a ray tracing approach via a simple radiative transfer model. Modelling non-relativistic proper motion of the lens in front of a background star we record the apparent brightness as a fu…

Adiabatic Inspiral Transition and Induction to Plunge of a Compact Body in Equatorial Plane Around a Massive Kerr Black Hole
Boyan Wang
https://arxiv.org/abs/2510.10240 https://…

Adiabatic Inspiral Transition and Induction to Plunge of a Compact Body in Equatorial Plane Around a Massive Kerr Black Hole
This paper reconstructs the derivation process from the Kerr metric to the adiabatic inspiral, transition, and plunge regimes, aiming to highlight the details and logical connections often overlooked in previous derivations. The first half provides a comprehensive roadmap for readers familiar with advanced general relativity to follow the entire logic of the inspiral-transition-plunge regime from this paper alone. The second half addresses the discontinuity between the adiabatic inspiral and th…

Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,\phi,X)$ Gravity
Ali I. Keskin, Mehmet Ya\c{s}ar, K. Kurt
https://arxiv.org/abs/2510.10220 https://

Constant Roll Inflationary Dynamics with Generalized Potentials in $f(R,ϕ,X)$ Gravity
In this work, we study early-time inflation within a class of $f(R, ϕ, X)$ gravity models under a constant-roll condition. Employing a generalized potential of the form $V(ϕ)^σ$, we derive expressions for the spectral index $n_s$ and tensor-to-scalar ratio $r$, demonstrating that the inflationary dynamics are primarily governed by the parameter $σ$ and the shape of the potential. At the upper limit of $n_s$, we obtain a de Sitter-like phase, while at the lower limit, the model transitions t…

Fermionic Love number of Reissner-Nordstr\"om black holes
Xiankai Pang, Yu Tian, Hongbao Zhang, Qingquan Jiang
https://arxiv.org/abs/2510.10036 https://

Fermionic Love number of Reissner-Nordström black holes
The tidal deformation of compact objects, characterised by their Love numbers, provides insights into the internal structure of neutron stars and black holes. While bosonic tidal Love numbers vanish for black holes in general relativity, it has been recently revealed that fermionic tidal perturbations can induce non-zero Love numbers for Kerr black holes. In this paper, we investigate the response of the Reissner-Nordström black hole to the fermionic Weyl field. As a result, we find that the c…

Weyl symmetry without the traceless condition
Israel Quiros
https://arxiv.org/abs/2510.09957 https://arxiv.org/pdf/2510.09957

Weyl symmetry without the traceless condition
We show that the requirement that the trace of the stress-energy tensor of matter must vanish if invariance under Weyl rescalings is a symmetry of a given gravitational theory, is not a general result but depends on the gravitational theory and on whether the matter action is form-invariant under Weyl rescalings or not. We focus on conformal general relativity with a Weyl form-invariant matter action. In this case, a linear dependence of the variations of the metric and of the Brans-Dicke scala…

The Gravitational Wave Memory from Binary Neutron Star Mergers
Jamie Bamber, Antonios Tsokaros, Milton Ruiz, Stuart L. Shapiro, Marc Favata, Matthew Karlson, Fabrizio Venturi Pi\~nas
https://arxiv.org/abs/2510.09742

The Gravitational Wave Memory from Binary Neutron Star Mergers
The gravitational wave signal produced by the merger of two compact objects includes both an oscillatory transient and a non-oscillatory part, the so-called memory effect. This produces a permanent displacement of test masses and has not yet been measured. We use general relativistic magnetohydrodynamic simulations, including neutrinos, with several representative viable equations of state, to quantify--for the first time--the effects of the neutron star magnetic field, neutrino emission, and t…

[2025-10-14 Tue (UTC), 29 new articles found for gr-qc General Relativity and Quantum Cosmology]
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