Tootfinder

The Quiet Revolutionary of the Piano – Fauré’s Complete Piano Works Now on Piano Street
#piano #repertoire

The Quiet Revolutionary of the Piano – Fauré’s Complete Piano Works Now on Piano Street
PIANO NEWS: An article about The Quiet Revolutionary of the Piano – Fauré’s Complete Piano Works Now on Piano Street from the Piano Street Magazine.

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
Frank Lu
https://arxiv.org/abs/2506.14935 https://

Special Cases of the Shafarevich Conjecture for Complete Intersections in Abelian Varieties
In this paper, we prove the Shafarevich conjecture for certain complete intersections of hypersurfaces in abelian varieties defined over a number field $K$ using the Lawrence-Venkatesh method. The main new inputs we need are computation of certain Euler characteristics of these complete intersections and a big monodromy statement for the variation of Hodge structure arising from the middle cohomology of a family of such complete intersections. Following \cite{ls25}, we prove the latter by relat…

$B\rightarrow K \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions
Xiyuan Gao, Ulrich Nierste
https://arxiv.org/abs/2506.14876

$B\rightarrow K + \text{axion-like particles}$: effective versus UV-complete models and enhanced two-loop contributions
An axion-like particle $a$ (ALP) can explain the excess of $B\rightarrow K + \text{invisible}$ events at Belle-II. However, many analyses of ALP scenarios are over-simplified. We revisit the $B\rightarrow K a$ transition rate in a popular minimal and UV complete model with two Higgs doublets (2HDM) and a complex singlet (DFSZ model). To this end we compare our results with previous studies which derived the $\overline{b}sa$ vertex from the $\overline{b}sA$ vertex, where $A$ is the heavy pseudo-…

Antimagic labelings of a complete graph
Dr A. N. Bhavale
https://arxiv.org/abs/2506.15221 https://arxiv.org/pdf/2506.15221

Antimagic labelings of a complete graph
In $1990$, Hartsfield and Ringel introduced antimagic graphs. Hartsfield and Ringel conjectured that every connected graph (and in particular, a tree) except $K_2$ is antimagic. In $2010$, Hefetz et al.\ raised two questions: Is every orientation of any simple connected undirected graph antimagic? and Given any undirected graph $G$, does there exist an orientation of $G$ which is antimagic? They call such an orientation an {\it antimagic orientation} of $G$. Recently, Bhavale provided an edge l…

Ist verkauft. Nicht mehr boosten, vielen Dank!
Verkaufe einen Raspberry Pi 400 (das "Tastaturmodell") ohne weiteres Zubehör, selten gebraucht, keine Gebrauchsspuren.
Zum Betrieb braucht man ein halbwegs starkes Netzteil mit USB-C-Anschlusskabel, eine microSD-Karte, um sich das Betriebssystem der Wahl darauf zu installieren, und eine Maus.
30,- EUR inkl. Versand in Deutschland.
Das ist dieses Modell:

Tell me you're a complete ignoramus without telling me you're a complete ignoramus...

There seem to be constant reminders of the disastrous mistakes that led up to the most catastrophic American foreign policy decision in recent memory -- the war on Iraq.
Despite the costly lessons of the past and the flashing warning signs before us today,
Trump seems poised to press the button on joining Israel’s attack on Iran.
Doing so could be an even bigger mistake.
The echoes are numerous:
A complete disregard for international law and diplomatic alternativ…

Can the United States Really Be Marching Toward This Madness Again?
The eerie echoes of Iraq and 2003 are numerous. But there are some key differences—and they make going into Iran an even greater act of folly.

Relaxation for massive particles: transport and causality
Matej Bajec, Alexander Soloviev
https://arxiv.org/abs/2506.15531 https://ar…

Relaxation for massive particles: transport and causality
Correlators at finite density and temperature encode important information about a physical system, such as transport and causality. For a massive gas of particles in the relaxation time approximation of kinetic theory, we provide complete analytic results for all first order transport coefficients, including thermoelectric coefficients. We demonstrate the first complete picture of the complex structure of the correlators as a function of mass, providing an interpretation in terms of the causal…

Prescribed Chern scalar curvatures on complete Hermitian manifolds
Weike Yu
https://arxiv.org/abs/2506.14592 https://arxiv.org/pdf/25…

Prescribed Chern scalar curvatures on complete Hermitian manifolds
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete Hermitian manifolds. Firstly, we re-prove our recent result for prescribing sign-changing Chern scalar curvatures on compact Hermitian manifolds by using the classical maximum principle. Secondly, we study this problem on complete noncompact Hermitian manifolds, and generalize the Aviles-McOwen's existence results [J. Differential Geom., 21 (1985): 269-281] from Poincaré disks to higher dimensional Her…

Good Morning Canada
One half of our move is complete and in 4 days we move to our new home. We're in good company as almost 1/3 of Canadians move once every 5 years. And like us, some are downsizing to a smaller home in their retirement years.
#CanadaIsAwesome #Moving
https://www.statcan.gc.ca/o1/en/plus/7309-moving-canada-good-bad-and-ugly

On the core and adjoint of the product of complete ideals in two-dimensional regular local rings
Clare D'Cruz, Saipriya Dubey, Jugal K. Verma
https://arxiv.org/abs/2506.14228 …

On the core and adjoint of the product of complete ideals in two-dimensional regular local rings
Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute their colengths. Our results strengthen a generalization of the Briançon-Skoda theorem due to D. Rees and J. D. Sally.

Journey Back To NFL Completed For Former Raiders First-Rounder Arnette https://raiderramble.com/2025/06/18/journey-back-nfl-complete-former-raiders-damon-arnette/

Whoever made reserved keywords escapable in #Swift: I owe you a drink of your choice if we're ever at the same table.
```swift
// …
case hu = "Hungary"
case `is` = "Iceland"
case `in` = "India"
case id = "Indonesia"
// …
```
This would have been a complete disaster of an API otherwise.

My best wishes to President Biden and his family. Hoping for a full and complete recovery.
#PresidentBiden #JoeBiden #CancerSucks

I mean I knew that Musk was a giant loser but you won't believe how pathetic he can get. I am about to be finished reading "Character Limit" and the stories in there are something else. He is a small, damaged, complete loser of human being. wow. So much external power and money, yet he is a miserable twat. So many stories... will have to attach some here

This https://arxiv.org/abs/2505.08149 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSC_…

Majorization and Inequalities among Complete Homogenous Symmetric Functions
Inequalities among symmetric functions are fundamental in various branches of mathematics, thus motivating a systematic study of their structure. Majorization has been shown to characterize inequalities among commonly used symmetric functions, except for complete homogeneous symmetric functions (shortened as CHs). In 2011, Cuttler, Greene, and Skandera posed a natural question: Can majorization also characterize inequalities among CHs? Their work demonstrated that majorization characterizes ine…

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…

Coordinate-energy transformation and the one-point function for the Heisenberg-Ising XXZ spin-1/2 chain on the ring
Eric I. Corwin, Nikolaus Elsaesser, Axel Saenz
https://arxiv.org/abs/2506.14171

Coordinate-energy transformation and the one-point function for the Heisenberg-Ising XXZ spin-1/2 chain on the ring
We provide a basis transformation that inverts the coordinate Bethe Ansatz. It is widely believed that the Bethe Ansatz is complete, based on numerical evidence and combinatorial arguments. We present a constructive and comprehensive approach to show that the Bethe Ansatz is complete. The transformation formula is verified numerically with excellent accuracy for non-zero anisotropy parameters and rings of odd length. Additionally, assuming the Bethe Ansatz is complete, we derive a novel exact f…

New characterization of full weight spectrum one-orbit cyclic subspace codes
Minjia Shi, Wenhao Song
https://arxiv.org/abs/2506.13418 https://

New characterization of full weight spectrum one-orbit cyclic subspace codes
Castello $\textit{et al}$. [J. Comb. Theory Ser. A, 212, 106005 (2025)] provided a complete classification for full weight spectrum (FWS) one-orbit cyclic subspace codes. In this paper, we determine the weight distributions of a family of FWS codes and exhibit some equivalence classes of FWS codes under certain conditions. Furthermore, we provide a complete classification for $r$-FWS codes.

WH Declares "No Kings Day" Protests To Have Been "Complete Utter Failure With Minuscule Attendance" - Joe.My.God.
https://www.joemygod.com/2025/06/wh-declares-no-kings-day-protests-to-have-been-complete-utter-failure-with-minuscule-attendance/

Models for cyclic infinity operads
Brandon Doherty, Philip Hackney
https://arxiv.org/abs/2506.15622 https://arxiv.org/pdf/2506.15622

Models for cyclic infinity operads
We construct model structures on cyclic dendroidal sets and cyclic dendroidal spaces for cyclic quasi-operads and complete cyclic dendroidal Segal spaces, respectively. We show these models are Quillen equivalent to the model structure for simplicial cyclic operads. This answers in the affirmative a question of the second author and Drummond-Cole concerning model structures for cyclic $\infty$-operads. We infer similar statements for planar cyclic $\infty$-operads, providing the model-categoric…

The complete weight distribution of a family of irreducible cyclic codes of dimension two
Gerardo Vega, F\'elix Hern\'andez
https://arxiv.org/abs/2506.11349

The complete weight distribution of a family of irreducible cyclic codes of dimension two
An important family of codes for data storage systems, cryptography, consumer electronics, and network coding for error control in digital communications are the so-called cyclic codes. This kind of linear codes are also important due to their efficient encoding and decoding algorithms. Because of this, cyclic codes have been studied for many years, however their complete weight distributions are known only for a few cases. The complete weight distribution has a wide range of applications in ma…

SR-NCL: an Area-/Energy-Efficient Resilient NCL Architecture Based on Selective Redundancy
Hasnain A. Ziad, Alexander C. Bodoh, Ashiq A. Sakib
https://arxiv.org/abs/2506.15634

SR-NCL: an Area-/Energy-Efficient Resilient NCL Architecture Based on Selective Redundancy
Duplication-based redundancy schemes have proven to be effective in designing fully-resilient Quasi-delay Insensitive (QDI) asynchronous circuits. The complete resiliency, however, is accompanied by significant energy, latency, and area overhead. This paper presents a novel error-tolerant Null Convention Logic (NCL) architecture based on selective redundancy. Results demonstrate the efficacy of the proposed method in terms of area and energy utilization as compared to existing duplication-based…

Conjugate reversibility in complex special linear groups
Krishnendu Gongopadhyay, Rahul Mondal
https://arxiv.org/abs/2506.15336 https://

Conjugate reversibility in complex special linear groups
We introduce and study conjugate reversibility (or $c$-reversibility) in the complex special linear group $\SL(n,\C)$ where an element is conjugate to the inverse of its complex conjugate. We prove that in $\SL(n, \C)$, every $c$-reversible element is strongly $c$-reversible. We provide a complete classification of $c$-reversible elements based on their conjugacy invariants. This leads to an algebraic characterization of projective transformations. As a special case, a finer classification in $…

Complete Characterization for Adjustment in Summary Causal Graphs of Time Series
Cl\'ement Yvernes, Emilie Devijver, Eric Gaussier
https://arxiv.org/abs/2506.14534

Complete Characterization for Adjustment in Summary Causal Graphs of Time Series
The identifiability problem for interventions aims at assessing whether the total causal effect can be written with a do-free formula, and thus be estimated from observational data only. We study this problem, considering multiple interventions, in the context of time series when only an abstraction of the true causal graph, in the form of a summary causal graph, is available. We propose in particular both necessary and sufficient conditions for the adjustment criterion, which we show is comple…

A survey of Chernoff and Hoeffding bounds
Alexandros V. Gerbessiotis
https://arxiv.org/abs/2506.15612 https://arxiv.org/pdf/2506.1561…

A survey of Chernoff and Hoeffding bounds
This is a survey paper that discusses the original bounds of the seminal papers by Chernoff and Hoeffding. Moreover, it includes a variety of derivative bounds in a variety of forms. Complete proofs are provided as needed. The intent is to provide a repository of reference bounds for the interested researcher.

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 …

Searching for topological semi-complete bandgap in elastic truss lattices
Yiran Hao, Dong Liu, Liyou Luo, Jialu Mu, Hanyu Wang, Zibo Liu, Jensen Li, Zhihong Zhu, Qinghua Guo, Biao Yang
https://arxiv.org/abs/2506.13601

Searching for topological semi-complete bandgap in elastic truss lattices
Gapless topological phases have attracted significant interest across both quantum and classical systems owing to their novel physics and promising applications. However, the search for ideal gapless topological nodes inside a clear bandgap is still lacking in elastic systems. The degenerate points are always hidden in the trivial bulk bands due to the intricate elastic modes involved. Here, we find a topological semi-complete bandgap in a three-dimensional elastic truss lattice by tuning a sup…

Constant Bit-size Transformers Are Turing Complete
Qian Li, Yuyi Wang
https://arxiv.org/abs/2506.12027 https://arxiv.org/pdf/2506.120…

Constant Bit-size Transformers Are Turing Complete
We prove that any Turing machine running on inputs of arbitrary length can be simulated by a constant bit-size transformer, as long as the context window is sufficiently long. This improves previous works, which require scaling up either the model's precision or the number of parameters on longer inputs. Furthermore, we prove that the complexity class SPACE$[s(n)]$ exactly characterizes the expressive power of a constant bit-size transformer with a context window of length $s(n)$. Our approach …

@… Got an email this morning telling me I could log in and download my HESTA statement so I could complete my HCC renewal. Estimated completion 16-23 July. Current HCC expires 12 July. I'm hoping ruefully that the notes on my account (from 2023) after might speed it up a little especially as I have been known to contact the minister after it too…

Short monochromatic odd cycles
Oliver Janzer, Fredy Yip
https://arxiv.org/abs/2506.14910 https://arxiv.org/pdf/2506.14910

Short monochromatic odd cycles
It is easy to see that every $k$-edge-colouring of the complete graph on $2^k+1$ vertices contains a monochromatic odd cycle. In 1973, Erdős and Graham asked to estimate the smallest $L(k)$ such that every $k$-edge-colouring of $K_{2^k+1}$ contains a monochromatic odd cycle of length at most $L(k)$. Recently, Girão and Hunter obtained the first nontrivial upper bound by showing that $L(k)=O(\frac{2^k}{k^{1-o(1)}})$, which improves the trivial bound by a polynomial factor. We obtain an exponen…

First complete characterization of an X-Ray tube through combined measurements and Geant4 simulations
Alessandro Braghieri, Matteo Brunoldi, Simone Calzaferri, Mario Pelliccioni, Paola Salvini, Alessandro Tamigio, Ilaria Vai, Paolo Vitulo
https://arxiv.org/abs/2506.11652

First complete characterization of an X-Ray tube through combined measurements and Geant4 simulations
X-ray tubes are sources of X-rays used in various fields, ranging from radiographic imaging in medical physics to the characterization of detectors in particle physics. This article presents a method for the complete characterization of the Mini-X2 X-Ray tube from AMETEK, an X-ray source later used to characterize gas detectors in laboratory. Using data provided by the manual, we derive key operational parameters of the tube, such as the photon emission rate and the relationship between emissiv…

Relativistic implications of entropy and purity
Joseph Balsells, Martin Bojowald
https://arxiv.org/abs/2506.14705 https://arxiv.org/p…

Relativistic implications of entropy and purity
A quantum object is extended by virtue of quantum uncertainty. Subjected to gravity, it therefore experiences tidal forces and other relativistic effects. As a result, entropy and purity affect geodesic motion and acquire weight, an observation that has broad implications from free-fall experiments to Hawking radiation. If the object's position is quantum correlated in at least two directions, a complete description of its geodesic motion requires non-Riemannian geometry of a form controlled by…

Instruction and Solution Probabilities as Heuristics for Inductive Programming
Edward McDaid, Sarah McDaid
https://arxiv.org/abs/2506.13804 https://…

Instruction and Solution Probabilities as Heuristics for Inductive Programming
Instruction subsets (ISs) are heuristics that can shrink the size of the inductive programming (IP) search space by tens of orders of magnitude. Here, we extend the IS approach by introducing instruction and solution probabilities as additional heuristics. Instruction probability reflects the expectation of an instruction occurring in a solution, based on the frequency of instruction occurrence in a large code sample. The solution probability for a partial or complete program is simply the prod…

Examples of complete Calabi--Yau metrics on affine smoothings of irregular toric Calabi--Yau cones
Ronan J. Conlon, Tran-Trung Nghiem
https://arxiv.org/abs/2506.14118

Examples of complete Calabi--Yau metrics on affine smoothings of irregular toric Calabi--Yau cones
We present new examples of affine Calabi--Yau manifolds of Euclidean volume growth and quadratic curvature decay, whose tangent cones at infinity are irregular and have smooth links. In the process, we demonstrate (and provide the relevant computer code) how to explicitly compute the Reeb field and all Minkowski decompositions of a given toric Calabi--Yau cone with smooth link from the data of its toric polytope. Minkowski decompositions of this polytope into lattice segments and/or triangles g…

StorySage: Conversational Autobiography Writing Powered by a Multi-Agent Framework
Shayan Talaei, Meijin Li, Kanu Grover, James Kent Hippler, Diyi Yang, Amin Saberi
https://arxiv.org/abs/2506.14159

StorySage: Conversational Autobiography Writing Powered by a Multi-Agent Framework
Every individual carries a unique and personal life story shaped by their memories and experiences. However, these memories are often scattered and difficult to organize into a coherent narrative, a challenge that defines the task of autobiography writing. Existing conversational writing assistants tend to rely on generic user interactions and pre-defined guidelines, making it difficult for these systems to capture personal memories and develop a complete biography over time. We introduce Story…

Trump Organization eyes a new Trump-branded wireless service, complete with gold phones (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/trump-mobile-phone-service-t1-rcna213261
http://www.memeorandum.com/250616/p76#a250616p76

Four years after Gov. Greg Abbott announced Texas would be the first state to build its own border wall, lawmakers have quietly stopped funding the project, leaving only scattered segments covering a small fraction of the border.
That decision, made in the waning hours of this year’s legislative session,
leaves the future of the state wall unclear.
Just 8% of the 805 miles the state identified for construction is complete, which has cost taxpayers more than $3 billion to dat…

With only 8% built, Texas quietly defunds state border wall program
Texas officials suggested the federal government could pick up construction. However, during President Trump’s first term, his administration built about one-third of what the state was able to put up in the same amount of time.

Please help @… if you can. Her and her family are living through hell at the hands of israel.
#israel #genocide

ADE triality via (non-)invertible symmetry gauging
Takahilo Tanaka, Yu Nakayama
https://arxiv.org/abs/2506.15158 https://arxiv.org/pd…

ADE triality via (non-)invertible symmetry gauging
It is long known that A-series minimal models and D-series minimal models are exchanged by gauging the invertible $\mathbb{Z}_2$ symmetry. More recently, it has been shown that A-series minimal models and E-series minimal models are exchanged by gauging a non-invertible symmetry. We complete the triality picture by showing that D-series minimal models and E-series minimal models are exchanged by gauging another non-invertible symmetry.

Simpler, Better, Faster, Stronger: Revisiting a Successful Reduction Rule for Dominating Set
Lukas Geis, Alexander Leonhardt, Johannes Meintrup, Ulrich Meyer, Manuel Penschuck
https://arxiv.org/abs/2506.14564

Simpler, Better, Faster, Stronger: Revisiting a Successful Reduction Rule for Dominating Set
DominatingSet is a classical NP-complete problem and also known to be W[2]-hard. Thus, there is little hope for small kernels on general graphs. However, in practice, reduction rules to heuristically shrink instances are used. In this context, Rule1 by Alber et. al. is quite successful, yet at times somewhat expensive to execute. We propose a linear time algorithm implementing and surpassing the original Rule1 formulation. Our discussions and proofs yield interesting structural insights into th…

I was handed a bucket full of lego worm gears https://www.bricklink.com/catalogItemPic.asp?P=4716 a few weeks ago and came up with this model:

Eight-dimensional non completely reducible symplectic Lie algebras
T. A\"it Aissa, S. El Bourkadi, M. W. Mansouri, SM. Sbai
https://arxiv.org/abs/2506.13699

Eight-dimensional non completely reducible symplectic Lie algebras
A non completely reducible symplectic Lie algebra is a symplectic Lie algebra which cannot be symplectically reduced to the trivial symplectic Lie algebra. Our aim is to provide a complete classification, up to symplectomorphism of non completely reducible symplectic Lie algebras in dimensions $n \leq 8$ and, furthermore, to provide a complete description of symplectic Lie algebras admitting one-dimensional isotropic ideals.

Galaxies at the edges: a complete census of MACS J0416.1-2403 cluster
Rossella Ragusa, Maurizio D'Addona, Amata Mercurio, Marcella Longhetti, Marisa Girardi, Marianna Annunziatella, Nicolas Estrada, Claudio Grillo, Angela Iovino, Giula Rodighiero, Piero Rosati, Benedetta Vulcani, Giuseppe Angora, Hans Bohringer, Massimo Brescia, Gabriel Bartosch Caminha, Gayoung Chon, Fedor Getman, Aniello Grado, Marco Gullieuszik, Luca Limatola, Alessia Moretti, Luisa Pecoraro

Galaxies at the edges: a complete census of MACS J0416.1-2403 cluster
Numerous studies have established that the environment influences the physical properties of a galaxy. While gas inflows supply the fuel for SF, high density and temperature conditions suppress SF activity through various quenching processes. Investigations into large scale structures, such as filaments and overdense regions in the cluster outskirts, have focused on the low z. To move to intermediate z and explore galaxy pathways combined with environmental effects, it is crucial to join wide f…

This https://arxiv.org/abs/2503.24078 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

A Complete Mental Temporal Logic for Intelligent Agent
In this paper, we present a complete mental temporal logic, called BPICTL, which generalizes CTL by introducing mental modalities. A sound and complete inference system of BPICTL is given. We prove the finite model property of BPICTL. Furthermore, we present a model checking algorithm for BPICTL.

Replaced article(s) found for math.CT. https://arxiv.org/list/math.CT/new
[1/1]:
Are chain-complete posets co-wellpowered?
https://

From Outcomes to Processes: Guiding PRM Learning from ORM for Inference-Time Alignment
Bin Xie, Bingbing Xu, Yige Yuan, Shengmao Zhu, Huawei Shen
https://arxiv.org/abs/2506.12446 …

From Outcomes to Processes: Guiding PRM Learning from ORM for Inference-Time Alignment
Inference-time alignment methods have gained significant attention for their efficiency and effectiveness in aligning large language models (LLMs) with human preferences. However, existing dominant approaches using reward-guided search (RGS) primarily rely on outcome reward models (ORMs), which suffer from a critical granularity mismatch: ORMs are designed to provide outcome rewards for complete responses, while RGS methods rely on process rewards to guide the policy, leading to inconsistent sc…

The Netherlands is having it's third complete shutdown of all passenger trains tomorrow in the entire country.
The strikes are caused by the employees wages having a big gap with inflation. The NS management doesn't want to pay this gap. The government will not help.
I'm sure there is some huge car project somewhere in the Netherlands that could be killed to invest in better train service. But it will not be.
I dread because I don't have a lot of hope that th…

New characterization of full weight spectrum one-orbit cyclic subspace codes
Minjia Shi, Wenhao Song
https://arxiv.org/abs/2506.13418 https://

New characterization of full weight spectrum one-orbit cyclic subspace codes
Castello $\textit{et al}$. [J. Comb. Theory Ser. A, 212, 106005 (2025)] provided a complete classification for full weight spectrum (FWS) one-orbit cyclic subspace codes. In this paper, we determine the weight distributions of a family of FWS codes and exhibit some equivalence classes of FWS codes under certain conditions. Furthermore, we provide a complete classification for $r$-FWS codes.

Just to clarify: this is not a complete list of things I want for the world. This is not even a complete political platform. It’s just a single simple, clear, core message that I suspect would work much better in elections than that fash-lite mush all the Newsomesque political consultants are oozing out of their pores right now.

Restriction problem for mod $p$ representations of $\text{GL}_2$ over a finite field
Eknath Ghate, Shubhanshi Gupta
https://arxiv.org/abs/2506.14207 https:…

Restriction problem for mod $p$ representations of $\text{GL}_2$ over a finite field
Let $\mathbb{F}_q$ be the finite field with $q = p^f$ elements. We study the restriction of two classes of mod $p$ representations of $G_q = \text{GL}_2({\mathbb{F}_q})$ to $G_p = \text{GL}_2(\mathbb{F}_p)$. We first study the restrictions of principal series which are obtained by induction from a Borel subgroup $B_q$. We then analyze the restrictions of inductions from an anisotropic torus $T_q$ which are related to cuspidal representations. Complete decompositions are given in both cases acco…

Harnessing the "Reactive Falling Effect" for rehabilitation and performance boosting
Paul-Emmanuel Sornette, Didier Sornette
https://arxiv.org/abs/2506.13959

Harnessing the "Reactive Falling Effect" for rehabilitation and performance boosting
We present Logic Workout, a novel training method based on radical dynamic instability combining rolling, deformation and spring instability on small fitballs. By exploiting the "reactive falling effect", it re-engages innate balance mechanisms and forces real-time motor corrections, leading to better joint control, coordination, and movement precision. Preliminary results from a cohort of 18 participants show complete resolution of chronic pain, enhanced functional mobility, and surprising imp…

Straight-line Orthogonal Drawing of Complete Ternary Tree Requires $O(n^{1.032})$ Area
Hong Duc Bui
https://arxiv.org/abs/2506.09269 https://

Straight-line Orthogonal Drawing of Complete Ternary Tree Requires $O(n^{1.032})$ Area
We resolve a conjecture posed by Covella, Frati and Patrignani by proving the straight-line orthogonal drawing of the complete ternary tree with $n$ nodes satisfying the subtree separation property with smallest area has area $Ω(n^{1.031})$. We also improve the upper bound of this area to $O(n^{1.032})$.

--==>> THE COMPLETE GUIDE TO COWS <<==--
as you've NEVER seen them before!
(___) (__) (__)
( O ) (oo) (oo)
/-------\ / \/--------\/
/ | ||V | |
* ||----|| ||------||
^^ ^^ ^^ ^^
The cyc…

Posets for Specht ideals of essential real reflection groups
Sebastian Debus, Kurt Klement Gottwald
https://arxiv.org/abs/2506.15335 https://

Posets for Specht ideals of essential real reflection groups
Specht ideals are symmetric ideals in the polynomial ring generated by Specht polynomials associated with group representations. These ideals were previously studied for reflection groups of types $A$ and $B$, where their inclusion relations and their varieties reflect rich combinatorial structures. In this paper, we extend this theory to type $D$ and the dihedral groups. Our results complete the combinatorial study of Specht ideals across all infinite families of essential real reflection grou…

On a Lebesgue-like integral over the Levi-Civita field $\mathcal{R}$
Mateo Restrepo Borrero, Khodr Shamseddine
https://arxiv.org/abs/2506.13930 https://

On a Lebesgue-like integral over the Levi-Civita field $\mathcal{R}$
The Levi-Civita field $\mathcal{R}$ is the smallest non-Archimedean ordered field extension of the real numbers that is real closed and Cauchy complete in the topology induced by the order. In this paper we develop a new theory of integration over $\mathcal{R}$ that generalizes previous work done in the subject while circumventing the fact that not every bounded subset of $\mathcal{R}$ admits either an infimum or a supremum. We define a new family of measurable functions and a new integral over…

Personalizable Long-Context Symbolic Music Infilling with MIDI-RWKV
Christian Zhou-Zheng, Philippe Pasquier
https://arxiv.org/abs/2506.13001 https://

Personalizable Long-Context Symbolic Music Infilling with MIDI-RWKV
Existing work in automatic music generation has primarily focused on end-to-end systems that produce complete compositions or continuations. However, because musical composition is typically an iterative process, such systems make it difficult to engage in the back-and-forth between human and machine that is essential to computer-assisted creativity. In this study, we address the task of personalizable, multi-track, long-context, and controllable symbolic music infilling to enhance the process …

Dyon Loops and Abelian Instantons
Isabel Garcia Garcia, Marius Kongsore, Ken Van Tilburg
https://arxiv.org/abs/2506.14867 https://arx…

Dyon Loops and Abelian Instantons
We construct Abelian gauge field configurations that carry non-zero instanton number. Each such "Abelian instanton" is generated by a closed magnetic worldline in four-dimensional Euclidean space, provided the Abelian gauge field has non-trivial winding along the closed worldline. The resulting field configuration corresponds to a Euclidean dyon loop featuring non-zero instanton number. We embed these dyon loops in a UV-complete theory using the Georgi-Glashow model and show that the full insta…

celegans_2019: Complete C. elegans neurons (2019)
Networks among neurons of both the adult male and adult hermaphrodite worms C. elegans, constructed from electron microscopy series, to include directed edges (chemical) and undirected (gap junction), and spanning including nodes for muscle and non-muscle end organs.
This network has 453 nodes and 4879 edges.
Tags: Biological, Connectome, Weighted

At the end of March we decided to switch to a cheaper electric&gas company. The old company handled the disconnection process starting April 9th, which will be fully completed by April 30th.
This is the complete list of spam calls I received until yesterday.
Luckily I know how to handle the situation, still it seems to me unreal and crazy.
I'll be updating the graph every now and then just to fully understand the madness.

DO HO SUH: WALK THE HOUSE. This is startlingly good. Really worth a trip to see the exhibition at Tate Modern, if you are anywhere near. It's rare to come across innovative modern art that is so soothing, not shocking or disturbing. These rooms are all made from thin, translucent fabric held up on wire frame, complete with all the familiar fittings.
#art

Sources: Tucker Carlson and Neil Patel have bought out investors in their media company, Tucker Carlson Network; the two had raised $15M for TCN in 2023 (Sara Fischer/Axios)
https://www.axios.com/2025/06/13/tucker-carlson-investors

Scoop: Tucker Carlson buys out investors in his media company
The deal gives the founders complete independence and total control of the company.

A Riemannian Characterization of Compact Affine Manifolds with Parallel Volume
Mihail Cocos
https://arxiv.org/abs/2506.14778 https://…

A Riemannian Characterization of Compact Affine Manifolds with Parallel Volume
We establish that any affine manifold $(M,\nabla)$ endowed with a parallel volume form $ω,$ admits, in any conformal class of Riemannian metrics, a representative $H$ for which $\nabla$ is the Levi-Civita connection. This provides a constructive proof that such manifolds are necessarily complete, generalizing the "if" direction of Markus' conjecture \cite{markus1962}. Moreover, our result demonstrates that these structures are intrinsically Riemannian-flat, a stronger conclusion than the affin…

Building a Code-Editing #Agent in 400 Lines of #Go Code 🤖
➰
🔧 Complete agent implementation requires only #LLM integration, loop structure & sufficient token allocation
🧵 👇

So after wrapping up the #Wiki theme for my #Markdown -based (not)CMS (https://…

Star Wars Andor was great!! I wish there was more of it, but I also wouldn't want to wait years more for the story to complete. So great how it matches up to the Rogue One movie!

Mathematical reflections on modified fractional counting
Leo Egghe, Ronald Rousseau
https://arxiv.org/abs/2506.12057 https://arxiv.or…

Mathematical reflections on modified fractional counting
We make precise what is meant by stating that modified fractional counting (MFC) lies between full counting and complete-normalized fractional counting by proving that for individuals, the MFC-values are weighted geometric averages of these two extremes. There are two essentially different ways to consider the production of institutes in multi-institutional articles, namely participation and actual number of contributions. Starting from an idea published by Sivertsen, Rousseau and Zhang in 2019…

Wat heb je toch een fijne websites. // Qué sitios web mšs buenos hay.
// What fine websites are out there.
#photography

A Sound and Complete Characterization of Fair Asynchronous Session Subtyping
Mario Bravetti, Luca Padovani, Gianluigi Zavattaro
https://arxiv.org/abs/2506.06078

A Sound and Complete Characterization of Fair Asynchronous Session Subtyping
Session types are abstractions of communication protocols enabling the static analysis of message-passing processes. Refinement notions for session types are key to support safe forms of process substitution while preserving their compatibility with the rest of the system. Recently, a fair refinement relation for asynchronous session types has been defined allowing the anticipation of message outputs with respect to an unbounded number of message inputs. This refinement is useful to capture com…

Box-Covariances of Hyperuniform Point Processes
Jonas Jalowy, Hanna Stange
https://arxiv.org/abs/2506.13661 https://arxiv.org/pdf/250…

Box-Covariances of Hyperuniform Point Processes
In this work, we present a complete characterization of the covariance structure of number statistics in boxes for hyperuniform point processes. Under a standard integrability assumption, the covariance depends solely on the overlap of the faces of the box. Beyond this assumption, a novel interpolating covariance structure emerges. This enables us to identify a limiting Gaussian 'coarse-grained' process, counting the number of points in large boxes as a function of the box position. Depending o…

Enhancing z spin generation in trivial spin Hall materials for scalable, energy-efficient, field-free, complete spin-orbit torque switching applications
Qianbiao Liu, Lijun Zhu
https://arxiv.org/abs/2506.06628

Enhancing z spin generation in trivial spin Hall materials for scalable, energy-efficient, field-free, complete spin-orbit torque switching applications
Despite the remarkable efforts in the past two decades, it has remained a major challenge to achieve switching of perpendicularly magnetized spin-orbit torque devices in a scalable, energy-efficient, field-free, integration-friendly, and complete manner. Here, we report giant enhancement of z spin generation in low-resistivity spin Hall metal/FeCoB devices by alloying the spin Hall metal Pt with Ti and by electric asymmetry engineering. The dampinglike spin torques of z spins and y spins are en…

Got to respect the complete lack of trying to get the perspective right for the blue screen inserts in the #AxelF video.
#TOTP

Quantum SAT Problems with Finite Sets of Projectors are Complete for a Plethora of Classes
Ricardo Rivera Cardoso, Alex Meiburg, Daniel Nagaj
https://arxiv.org/abs/2506.07244

Quantum SAT Problems with Finite Sets of Projectors are Complete for a Plethora of Classes
Previously, all known variants of the Quantum Satisfiability (QSAT) problem, i.e. deciding whether a $k$-local ($k$-body) Hamiltonian is frustration-free, could be classified as being either in $\mathsf{P}$; or complete for $\mathsf{NP}$, $\mathsf{MA}$, or $\mathsf{QMA_1}$. Here, we demonstrate new qubit variants of this problem that are complete for $\mathsf{BQP_1}$, $\mathsf{coRP}$, $\mathsf{QCMA}$, $\mathsf{PI(coRP,NP)}$, $\mathsf{PI(BQP_1,NP)}$, $\mathsf{PI(BQP_1,MA)}$, $\mathsf{SoPU(coRP,N…

The fast, the slow and the merging: probes of evaporating memory burdened PBHs
Alessandro Dondarini, Giulio Marino, Paolo Panci, Michael Zantedeschi
https://arxiv.org/abs/2506.13861

The fast, the slow and the merging: probes of evaporating memory burdened PBHs
The so-called memory-burden effect implies that evaporating Primordial Black Holes (PBHs) inevitably stabilize before complete decay. This stabilization opens a new mass window for PBH Dark Matter below $10^{15}\,$g. The transition to the memory-burdened phase is not instantaneous but unfolds over cosmological timescales, with some PBHs entering this phase in the present epoch. Additionally, a fraction of PBHs undergo mergers today, forming ''young'' semiclassical black holes that evaporate at …

Linear Planar 3-SAT and Its Applications in Planning
Victorien Desbois, Ocan Sankur, Fran\c{c}ois Schwarzentruber
https://arxiv.org/abs/2506.14713 https://…

Linear Planar 3-SAT and Its Applications in Planning
Several fragments of the satisfiability problem have been studied in the literature. Among these, Linear 3-SAT is a satisfaction problem in which each clause (viewed as a set of literals) intersects with at most one other clause; moreover, any pair of clauses have at most one literal in common. Planar 3-SAT is a fragment which requires that the so-called variable-clause graph is planar. Both fragments are NP-complete and have applications in encoding NP-hard planning problems. In this paper, we…

Trump governs today in the wake of the near-complete dismantling of checks and balances on the executive branch -- at least in the foreign policy and national security realm.
Since the 9/11 attacks, Congress has granted the presidency more and more power over foreign affairs
and declined to take any of it back,
and the Supreme Court has been reluctant to provide any meaningful restraints.
Trump inherited an ever-expanding national security apparatus that operates wi…

Imperial President at Home, Emperor Abroad
American foreign policy in an age of unrestrained executive power.

Rectifying Privacy and Efficacy Measurements in Machine Unlearning: A New Inference Attack Perspective
Nima Naderloui, Shenao Yan, Binghui Wang, Jie Fu, Wendy Hui Wang, Weiran Liu, Yuan Hong
https://arxiv.org/abs/2506.13009

Rectifying Privacy and Efficacy Measurements in Machine Unlearning: A New Inference Attack Perspective
Machine unlearning focuses on efficiently removing specific data from trained models, addressing privacy and compliance concerns with reasonable costs. Although exact unlearning ensures complete data removal equivalent to retraining, it is impractical for large-scale models, leading to growing interest in inexact unlearning methods. However, the lack of formal guarantees in these methods necessitates the need for robust evaluation frameworks to assess their privacy and effectiveness. In this wo…

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

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

Conley-Zehnder Indices of Spatial Rotating Kepler Problem
Dongho Lee
https://arxiv.org/abs/2506.14325 https://arxiv.org/pdf/2506.1432…

Conley-Zehnder Indices of Spatial Rotating Kepler Problem
We study periodic orbits in the spatial rotating Kepler problem from a symplectic-topological perspective. Our first main result provides a complete classification of these orbits via a natural parametrization of the space of Kepler orbits, using angular momentum and the Laplace-Runge-Lenz vector. We then compute the Conley-Zehnder indices of non-degenerate orbits and the Robbin-Salamon indices of degenerate families, establishing their contributions to symplectic homology via the Morse-Bott sp…

Telescoping Algorithms for $\Sigma^*$-Extensions via Complete Reductions
Shaoshi Chen, Yiman Gao, Hui Huang, Carsten Schneider
https://arxiv.org/abs/2506.08767

Telescoping Algorithms for $Σ^*$-Extensions via Complete Reductions
A complete reduction on a difference field is a linear operator that enables one to decompose an element of the field as the sum of a summable part and a remainder such that the given element is summable if and only if the remainder is equal to zero. In this paper, we present a complete reduction in a tower of $Σ^*$-extensions that turns to a new efficient framework for the parameterized telescoping problem. Special instances of such $Σ^*$-extensions cover iterative sums such as the harmonic …

On a class of toric manifolds arising from simplicial complexes
Ivan Limonchenko, Marinko Timotijevi\'c, Rade \v{Z}ivaljevi\'c
https://arxiv.org/abs/2506.13547

On a class of toric manifolds arising from simplicial complexes
Given an arbitrary abstract simplicial complex $K$ on $[m]:=\{1,2,\ldots,m\}$, different from the simplex $Δ_{[m]}$ with $m$ vertices, we introduce and study a canonical $(2m-2)$-dimensional toric manifold $X_K$, associated to the canonical $(m-1)$-dimensional complete regular fan $Σ_K$. This construction yields an infinite family of toric manifolds that are not quasitoric and provides a topological proof of the Dehn-Sommerville relations for the associated Bier sphere $\mathrm{Bier}(K)$. Fin…

The Kuramoto model on the Sierpinski Gasket
Georgi S. Medvedev, Matthew S. Mizuhara
https://arxiv.org/abs/2506.12940 https://arxiv.or…

The Kuramoto model on the Sierpinski Gasket
We study the Kuramoto model (KM) of coupled phase oscillators on graphs approximating the Sierpinski gasket (SG). As the size of the graph tends to infinity, the limit points of the sequence of stable equilibria in the KM correspond to the minima of the Dirichlet energy, i.e., to harmonic maps from the SG to the circle. We provide a complete description of the stable equilibria of the continuum limit of the KM on graphs approximating the SG, under both Dirichlet and free boundary conditions. We…

Hemisphere mass up to four-loops with generalised $k_t$ algorithms
K. Khelifa-Kerfa, M. Benghanem
https://arxiv.org/abs/2506.14415 https://

Hemisphere mass up to four-loops with generalised $k_t$ algorithms
We compute the fixed-order distribution of the non-global hemisphere mass observable in $e^+ e^-$ annihilation up to four loops for various sequential recombination jet algorithms. In particular, we focus on the $k_t$ and Cambridge/Aachen algorithms. Using eikonal theory and strong-energy ordering of the final-state partons, we determine the complete structure of both abelian (clustering) and non-abelian non-global logarithms through four loops in perturbation theory. We compare the resulting r…

Unlearning-Enhanced Website Fingerprinting Attack: Against Backdoor Poisoning in Anonymous Networks
Yali Yuan, Kai Xu, Ruolin Ma, Yuchen Zhang
https://arxiv.org/abs/2506.13563

Unlearning-Enhanced Website Fingerprinting Attack: Against Backdoor Poisoning in Anonymous Networks
Website Fingerprinting (WF) is an effective tool for regulating and governing the dark web. However, its performance can be significantly degraded by backdoor poisoning attacks in practical deployments. This paper aims to address the problem of hidden backdoor poisoning attacks faced by Website Fingerprinting attack, and designs a feasible mothed that integrates unlearning technology to realize detection of automatic poisoned points and complete removal of its destructive effects, requiring onl…

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

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

The Word Problem for Products of Symmetric Groups
Hans U. Simon
https://arxiv.org/abs/2506.13655 https://arxiv.org/pdf/2506.13655

The Word Problem for Products of Symmetric Groups
The word problem for products of symmetric groups (WPPSG) is a well-known NP-complete problem. An input instance of this problem consists of ``specification sets'' $X_1,\ldots,X_m \seq \{1,\ldots,n\}$ and a permutation $τ$ on $\{1,\ldots,n\}$. The sets $X_1,\ldots,X_m$ specify a subset of the symmetric group $\cS_n$ and the question is whether the given permutation $τ$ is a member of this subset. We discuss three subproblems of WPPSG and show that they can be solved efficiently. The subproble…

Strong Watanabe-Yoshida conjecture for Complete Intersections
Joel Castillo-Rey
https://arxiv.org/abs/2506.09019 https://arxiv.org/pd…

Strong Watanabe-Yoshida conjecture for Complete Intersections
In this paper, we prove the strong form of the Watanabe-Yoshida conjecture for complete intersection singularities in every positive characteristic. In characteristics 2 and 3, we explicitly compute the Hilbert-Kunz functions of the A1 and A2 singularities.

A Holomorphic Splitting Theorem
Miao Song
https://arxiv.org/abs/2506.13517 https://arxiv.org/pdf/2506.13517

A Holomorphic Splitting Theorem
A long-term project is to construct a complete Calabi-Yau metric on the complement of the anticanonical divisor in a compact Kähler manifold $\oM$. We focus on the case where this smooth divisor has multiplicity 2 and is itself a compact Calabi-Yau manifold. Firstly we solved the Monge-Ampère equation when the Ricci potiential is of $O(r^{-1})$ decay on the generalized $ALG$ manifolds. Then we used the solution to this Kähler Ricci flat metric to prove a holomorphic splitting theorem: If $K_…

Tri-hypercharge versus tri-darkcharge
Duong Van Loi, A. E. C\'arcamo Hern\'andez, Van Que Tran, N. T. Duy
https://arxiv.org/abs/2506.12873 https://…

Tri-hypercharge versus tri-darkcharge
We propose a minimal, ultraviolet-complete, and renormalizable extension of the Standard Model, in which the three generations of ordinary fermions are distinguished by family-dependent hypercharges, while three right-handed neutrinos are separated by a dark gauge symmetry that is trivial for all Standard Model fields. This setup yields a fully flipped inert doublet model. The model naturally realizes a hybrid scotoseesaw mechanism that accounts for the smallness of neutrino masses and the larg…

Can Non-Relativistic Strings Propagate Without Geometric Baggage?
Partha Nandi, Sk. Moinuddin, Abdus Sattar
https://arxiv.org/abs/2506.12506 https://

Can Non-Relativistic Strings Propagate Without Geometric Baggage?
We present a minimal and dynamically consistent formulation of non-relativistic bosonic string theory in a Newton-Cartan (NC) background. Starting from a reparametrization-invariant Nambu-Goto action, we develop the Hamiltonian framework and perform a complete Dirac constraint analysis. The resulting structure exhibits first-class constraints that generate worldsheet diffeomorphisms, confirming the internal gauge consistency of the model. Using an interpolating Lagrangian, we derive a Polyakov-…

From Complexity to Simplicity: A Polynomial Time Solution To The Subset Sum Problem And A Milestone In Proving P Equal NP
Thami Nkosi
https://arxiv.org/abs/2506.12019

From Complexity to Simplicity: A Polynomial Time Solution To The Subset Sum Problem And A Milestone In Proving P Equal NP
The Subset Sum Problem being one of the NP-complete problems, till present, has no polynomial time solution. The aim of this research is to present a way to solve all instances of the Subset Sum Problem in quadratic time worst case. With showing that the solution functions within polynomial time, it would hence prove that indeed P equals NP, theoretically that is. When it comes to the practical extension of the solution to the NP class, reductions would have to be tailored and standardized due …

Rectifying Privacy and Efficacy Measurements in Machine Unlearning: A New Inference Attack Perspective
Nima Naderloui, Shenao Yan, Binghui Wang, Jie Fu, Wendy Hui Wang, Weiran Liu, Yuan Hong
https://arxiv.org/abs/2506.13009

Rectifying Privacy and Efficacy Measurements in Machine Unlearning: A New Inference Attack Perspective
Machine unlearning focuses on efficiently removing specific data from trained models, addressing privacy and compliance concerns with reasonable costs. Although exact unlearning ensures complete data removal equivalent to retraining, it is impractical for large-scale models, leading to growing interest in inexact unlearning methods. However, the lack of formal guarantees in these methods necessitates the need for robust evaluation frameworks to assess their privacy and effectiveness. In this wo…

On Domination Exponents for Pairs of Graphs
Grigoriy Blekherman, Annie Raymond, Alexander Razborov, Fan Wei
https://arxiv.org/abs/2506.12151 https://

On Domination Exponents for Pairs of Graphs
Understanding graph density profiles is notoriously challenging. Even for pairs of graphs, complete characterizations are known only in very limited cases, such as edges versus cliques. This paper explores a relaxation of the graph density profile problem by examining the homomorphism density domination exponent $C(H_1, H_2)$. This is the smallest real number $c \geq 0$ such that $t(H_1, T) \geq t(H_2, T)^c$ for all target graphs $T$ (if such a $c$ exists) where $t(H,T)$ is the homomorphism den…

Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $\gamma_5$ in the BMHV Scheme
Andreas von Manteuffel, Dominik St\"ockinger, Matthias Wei{\ss}wange
https://arxiv.org/abs/2506.12253

Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting $γ_5$ in the BMHV Scheme
We present the complete 4-loop renormalisation of an Abelian chiral gauge theory in the Breitenlohner-Maison / `t Hooft-Veltman (BMHV) scheme. Employing a non-anticommuting $γ_5$ in dimensional regularisation, we determine the full set of symmetry restoring counterterms from the quantum action principle. Our calculation represents the highest-order application of the BMHV framework so far, pushing the limits of a self-consistent treatment of $γ_5$ at the multi-loop level. We describe the comp…

Algebras, Entanglement Islands, and Observers
Hao Geng, Yikun Jiang, Jiuci Xu
https://arxiv.org/abs/2506.12127 https://arxiv.org/pdf/…

Algebras, Entanglement Islands, and Observers
Some recent work has postulated the existence of an "observer" for a consistent definition of subregion algebras in gravitational universes. The subregion algebras consist of operators dressed to this "observer" and are typically Type II von Neumann algebras. Nevertheless, as opposed to standard physical systems, such an "observer" was postulated to have a Hamiltonian $\hat{H}_{\text{obs}}$ linear in phase space variable. This linear form suggests that the complete dynamics of such an "observer…

Monitoring graph edges via shortest paths: computational complexity and approximation algorithms
Giordano Colli
https://arxiv.org/abs/2506.12021 https://…

Monitoring graph edges via shortest paths: computational complexity and approximation algorithms
Edge-Geodetic Sets play a crucial role in network monitoring and optimization, wherein the goal is to strategically place monitoring stations on vertices of a network, represented as a graph, to ensure complete coverage of edges and mitigate faults by monitoring lines of communication. This paper illustrates and explores the Monitoring Edge-Geodetic Set (MEG-set) problem, which involves determining the minimum set of vertices that need to be monitored to achieve geodetic coverage for a given ne…

Unlearning-Enhanced Website Fingerprinting Attack: Against Backdoor Poisoning in Anonymous Networks
Yali Yuan, Kai Xu, Ruolin Ma, Yuchen Zhang
https://arxiv.org/abs/2506.13563

Unlearning-Enhanced Website Fingerprinting Attack: Against Backdoor Poisoning in Anonymous Networks
Website Fingerprinting (WF) is an effective tool for regulating and governing the dark web. However, its performance can be significantly degraded by backdoor poisoning attacks in practical deployments. This paper aims to address the problem of hidden backdoor poisoning attacks faced by Website Fingerprinting attack, and designs a feasible mothed that integrates unlearning technology to realize detection of automatic poisoned points and complete removal of its destructive effects, requiring onl…

Ricci Curvature of Strong Product Graphs
Guiqiang Mou
https://arxiv.org/abs/2506.13269 https://arxiv.org/pdf/2506.13269

Ricci Curvature of Strong Product Graphs
We establish for the first time the explicit curvature formulas for the horizontal and vertical edges of the strong product of two regular graphs. We complement this result with showing that there does not exist a nice formula for the curvatures of diagonal edges, except for a special case in terms of curvatures of the factors. This gives the curvature formulas for all edges of the product of a complete graph and a regular graph. We also present an accessible and simpler proof of the curvature …

The Domination and Secure Domination Numbers of Direct Product of Cliques with Paths and Cycles
Deepak M. Bakal, S. A. Mane
https://arxiv.org/abs/2506.11865

The Domination and Secure Domination Numbers of Direct Product of Cliques with Paths and Cycles
In this paper, we obtain the exact values of several domination parameters for the direct product of a complete graph with a path or a cycle. Specifically, we determine the domination number, independent domination number, $[1,2]$-domination number, secure domination number, and 2-domination number for this family of graphs. We show that, in these graphs, the independent domination number and the $[1,2]$-domination number coincide with the domination number, while the secure domination number c…