Tootfinder

This https://arxiv.org/abs/2408.16394 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the asymptotics of elementary-abelian extensions of local and global function fields
We determine the distribution of discriminants of wildly ramified elementary-abelian extensions of local and global function fields in characteristic $p$. For local and rational function fields, we also give precise formulae for the number of elementary-abelian extensions with a fixed discriminant divisor, which describe a local-global principle.

Nonstandard methods for ultrafilter relation extensions
Leonardo Raffaello Maximilian Gasparro, Lorenzo Luperi Baglini
https://arxiv.org/abs/2506.04692 htt…

Nonstandard methods for ultrafilter relation extensions
We study two types of ultrafilter relation extensions with nonstandard methods and provide characterisations of these extensions in terms of generators of ultrafilters. These characterisations are then used to determine whether various relation properties are preserved by these extensions. Lastly, we study the notion of self-divisible ultrafilter and, with the mentioned characterizations, generalize this notion for a class of relations.

Agent's Take: What extensions could look like for Garrett Wilson, Aidan Hutchinson, other 2022 first-rounders

https://www.cbssports.com/nfl/…

Judge preserves Education Department injunction over time extensions for states’ Covid fund spending | Courthouse News Service
https://www.courthousenews.com/judge-preserves-education-department-injunction-over-time-extensions-for-states-covid-fund-spending/

A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions
Jing Yu, Gongxiang Liu, Kun Zhou, Xiangjun Zhen
https://arxiv.org/abs/2506.04008

A class of (infinite-dimensional) cosemisimple Hopf algebras constructed via abelian extensions
In this paper, we aim to study abelian extensions for some infinite group. We show that the Hopf algebra $\Bbbk^G{}^τ\#_σ\Bbbk F$ constructed through abelian extensions of $\Bbbk F$ by $\Bbbk^G$ for some (infinite) group $F$ and finite group $G$ is cosemisimple, and discuss when it admits a compact quantum group structure if $\Bbbk$ is the field of complex numbers $\mathbb{C}.$ We also find all the simple $\Bbbk^G{}^τ\#_σ\Bbbk F$-comodules and attempt to determine the Grothendieck ring of t…

On Symbol Elimination and Uniform Interpolation in Theory Extensions
Viorica Sofronie-Stokkermans
https://arxiv.org/abs/2506.01664 https://

On Symbol Elimination and Uniform Interpolation in Theory Extensions
We define a notion of general uniform interpolant, generalizing the notions of cover and of uniform interpolant and identify situations in which symbol elimination can be used for computing general uniform interpolants. We investigate the limitations of the method we propose, and identify theory extensions for which the computation of general uniform interpolants can be reduced to symbol elimination followed by the computation of uniform quantifier-free interpolants in extensions with uninterpr…

2022 Cowboys draft class must earn contract extensions https://insidethestar.com/2022-cowboys-draft-class-must-earn-contract-extensions

Homological invariant properties under cleft extensions
Li Liang, Yajun Ma, Gang Yang
https://arxiv.org/abs/2506.02691 https://arxiv.…

Homological invariant properties under cleft extensions
We study the behavior of the Gorenstein weak global dimension and Gorenstein flat-cotorsion global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension and that of the Gorenstein flat-cotorsion global dimension are both invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to θ-extensions and Morita contex…

This https://arxiv.org/abs/2503.03076 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Non-Affine Extensions of the Raychaudhuri Equation in the K-essence Framework
We present a new avenue of the Raychaudhuri Equation (RE) by introducing a non-affine parametrization within the k-essence framework. This modification accounts for non-geodesic flow curves, leading to emergent repulsive effects in cosmic evolution. Using a DBI-type k-essence Lagrangian, we derive a modified RE and demonstrate its ability to address the Hubble tension while predicting a natural emergence of a dynamical dark energy equation of state. Our Bayesian analysis, constrained by cosmolo…

On the modular cohomology of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$
Anja Meyer
https://arxiv.org/abs/2506.04720 https://ar…

On the modular cohomology of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$
Let $p$ be an odd prime. Denote a Sylow $p$-subgroup of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$ by $S_p(n,GL)$ and $S_p(n,SL)$ respectively. The theory of stable elements tells us that the mod-$p$ cohomology of a finite group is given by the stable elements of the mod-$p$ cohomology of it's Sylow $p$-subgroup. We prove that for suitable group extensions of $S_p(n,GL)$ and $S_p(n,SL)$ the $E_2$-page of the Lyndon-Hochschild-Serre spectral sequence associated to these extensions does no…

Is Crane--Yetter fully extended?
Luuk Stehouwer
https://arxiv.org/abs/2506.04864 https://arxiv.org/pdf/2506.04864

Is Crane--Yetter fully extended?
We revisit the question of whether the Crane-Yetter topological quantum field theory (TQFT) associated to a modular tensor category admits a fully extended refinement. More specifically, we use tools from stable homotopy theory to classify extensions of invertible four-dimensional TQFTs to theories valued in symmetric monoidal 4-categories whose Picard spectrum has nontrivial homotopy only in degrees 0 and 4. We show that such extensions are classified by two pieces of data: an equivalence clas…

I'll test it on Apples.
I use the Orion browser on Apple computers. EFF's attempting to tell advertisers to USE EXPLICIT METHODS to control ads, and our privacy.
The Orion browser has its own "advanced" blockers.
But because it has Firefox extensions, it should "work" in Orion (the free browser by search engine company Kagi). Also, on iPads and iPhones, extensions work in Orion, but not Safari.
Privacy is a Human Right.

Systolic lattice extensions of classical Schottky groups
Junzhi Huang, Matthew Zevenbergen
https://arxiv.org/abs/2505.24118 https://a…

Systolic lattice extensions of classical Schottky groups
We produce lattice extensions of a dense family of classical Schottky subgroups of the isometry group of $d$-dimensional hyperbolic space. The extensions produced are said to be systolic, since all loxodromic elements with short translation length are conjugate into the Schottky groups. Various corollaries are obtained, in particular showing that for all $d\geq3$, the set of complex translation lengths realized by systoles of closed hyperbolic $d$-manifolds is dense inside the set of all possib…

[OT] Extensions to reduce Google AI-generated search clutter in Chrome and Edge (on Windows) https://chromewebstore.google.com/detail/bye-bye-google-ai-turn-of/imllolhfajlbkpheaapjocclpppchggc or Firefox

Bye Bye, Google AI: Turn off Google AI Overviews, Discussions and Ads - Chrome Web Store
Filter Google search results to hide AI overviews, ads, discussions or videos. You choose.

This looks even easier than I expected, because someone else already thought of it.
https://github.com/FreshRSS/Extensions/tree/master/xExtension-YouTube
I’ll have to build my own Docker image, but I guess I can handle that.

This https://arxiv.org/abs/2405.17286 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotics of extensions of simple $\mathbb Q$-algebras
We answer various questions concerning the distribution of extensions of a given central simple algebra $K$ over a number field. Specifically, we give asymptotics for the count of inner Galois extensions $L/K$ of fixed degree and center with bounded discriminant. We also relate the distribution of outer extensions of $K$ to the distribution of field extensions of its center $Z(K)$. This paper generalizes the study of asymptotics of field extensions to the noncommutative case in an analogous man…

This is really neat.
https://mastodon.social/@pid_eins/114618473677694301

Nilpotent graphs over skew PBW extensions
Sebasti\'an Higuera, Armando Reyes
https://arxiv.org/abs/2506.00632 https://arxiv.org/p…

Nilpotent graphs over skew PBW extensions
We investigate the diameter and girth of the nilpotent graph for skew PBW extensions over $2$-primal rings, generalizing similar results on skew polynomial rings. Under certain compatibility conditions, we establish bounds for the diameter of the nilpotent graph and prove invariance of the girth under polynomial extensions.

Matrix representations of the twisted virtual braid group and its extensions
Mohamad N. Nasser, Vaibhav Keshari, Madeti Prabhakar
https://arxiv.org/abs/2506.03806

Matrix representations of the twisted virtual braid group and its extensions
This paper classifies complex local representations of the twisted virtual braid group, $\mathrm{TVB}_2$, into $\mathrm{GL}_3(\mathbb{C})$. It shows that such representations fall into eight types, all of which are unfaithful and reducible to degree $2 \times 2$. Further reducibility to degree 1 is analyzed for specific types. The paper also examines complex homogeneous local representations of $\mathrm{TVB}_n$ into $\mathrm{GL}_{n+1}(\mathbb{C})$ for $n \geq 3$, identifying seven unfaithful ty…

#Python Friday #272: Extensions for #DuckDB
https://pythonfriday.dev/2025/03/272-exten…

#272: Extensions for DuckDB - Python Friday
None

An Overview of GPU-based First-Order Methods for Linear Programming and Extensions
Haihao Lu, Jinwen Yang
https://arxiv.org/abs/2506.02174 https://

An Overview of GPU-based First-Order Methods for Linear Programming and Extensions
The rapid progress in GPU computing has revolutionized many fields, yet its potential in mathematical programming, such as linear programming (LP), has only recently begun to be realized. This survey aims to provide a comprehensive overview of recent advancements in GPU-based first-order methods for LP, with a particular focus on the design and development of cuPDLP. We begin by presenting the design principles and algorithmic foundation of the primal-dual hybrid gradient (PDHG) method, which f…

"the chief aim is to create a hive-mind of sorts among the federal workforce, in which staff members are mere extensions of the president’s will, rather than the People’s"
Trump Hiring Program: The Best Praise For The Administration Is Compulsory Praise | Techdirt
https://www.techdirt.com/2025/06/05/trump-hiring-program-the-best-praise-for-the-administration-is-compulsory-praise/

Users should be in control of what data their browser extensions can access, which is why Mozilla plans to build a data collection consent directly into Firefox's add-on installation flow
https://blog.mozilla.org/addons/2025/0

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

Efficient Gibbs Sampling in Cox Regression Models Using Composite Partial Likelihood and P\'olya-Gamma Augmentation
Shu Tamano, Yui Tomo
https://arxiv.org/abs/2506.04675

Efficient Gibbs Sampling in Cox Regression Models Using Composite Partial Likelihood and Pólya-Gamma Augmentation
The Cox regression model and its Bayesian extensions are widely used in survival analysis. However, standard Bayesian approaches require modeling of the baseline hazard, and their full conditional distributions lack closed-form expressions. Therefore, the Metropolis-Hastings sampling algorithm is typically employed, whose efficiency is highly sensitive to the choice of proposal distribution. To address these issues, we propose the GS4Cox, an efficient Gibbs sampling algorithm for the Cox regres…

On today's @… menu: @… talking about PIE - the PHP Installer for Extensions

It is fascinating (maybe not the word everyone would use) to watch, what once was viewed as an init replacement, systemd evolve. Terminal emulation:
https://mastodon.social/@pid_eins/114618473677694301

This https://arxiv.org/abs/2411.15983 has been replaced.
initial toot: https://mastoxiv.page/@a…

Why Grain Growth is Not Curvature Flow
Grain growth in polycrystals is traditionally considered a capillarity-driven process, where grain boundaries (GBs) migrate toward their centers of curvature (i.e., mean curvature flow) with a velocity proportional to the local curvature (including extensions to account for anisotropic GB energy and mobility). Experimental and simulation evidence shows that this simplistic view is untrue. We demonstrate that the failure of the classical mean curvature flow description of grain growth mainly ori…

This https://arxiv.org/abs/2504.21386 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Power Suppression and Lensing Anomaly -- A phenomenological investigation
Primordial power spectra with low power at long wavelengths can alleviate lensing anomaly. However the extent to which data favours such a primordial spectra is not clear. In this work, we investigate power suppression and related mitigation of lensing anomaly with the help of phenomenological models which are valid over scales of interest. We consider simple extensions to nearly scale invariant power spectra such as those which includes running and running of running of spectral index. We perf…

This https://arxiv.org/abs/2412.15969 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On cutoff via rigidity for high dimensional curved diffusions
We consider overdamped Lanvegin diffusions in Euclidean space, with curvature equal to the spectral gap. This includes the Ornstein-Uhlenbeck process as well as non Gaussian and non product extensions with convex interaction, such as the Dyson process from random matrix theory. We show that a cutoff phenomenon or abrupt convergence to equilibrium occurs in high-dimension, at a critical time equal to the logarithm of the dimension divided by twice the spectral gap. This cutoff holds for Wasserst…

Optical Physics-Based Generative Models
Amirreza Ahmadnejad, Somayyeh Koohi
https://arxiv.org/abs/2506.04357 https://arxiv.org/pdf/25…

Optical Physics-Based Generative Models
This paper establishes a comprehensive mathematical framework connecting optical physics equations to generative models, demonstrating how light propagation dynamics inspire powerful artificial intelligence approaches. We analyze six fundamental optical equations, comparing linear models (Helmholtz, dissipative wave, and Eikonal equations) with their nonlinear extensions incorporating Kerr effects, cubic-quintic nonlinearities, and intensity-dependent refractive indices. Our nonlinear optical m…

Chrome extensions, short-form content, Substack clips, and tech ethics — it’s all in #EdTechSR 343 “Clickbait & Chrome!” from 1 Jan 2025!
on YouTube: https://www.youtube.com/live/JnYFfkf0eAA
…

Finished streaming #Paradise. A 2nd season has been confirmed and I'm looking forward to it. The characters are intriguing and the VFX are great. Nothing too fancy on the surface, mostly digital landscape stuff and set extensions. But those are actually hard because you need an incredible amount of detail to get the "CG look" out of CG towns and landscapes.
They also went cra…

The Line Traveling Salesman and Repairman Problem with Collaboration
Julian Golak, Finn S\"orensen, Malte Fliedner
https://arxiv.org/abs/2506.04127 ht…

The Line Traveling Salesman and Repairman Problem with Collaboration
In this work, we consider extensions of both the Line Traveling Salesman and Line Traveling Repairman Problem, in which a single server must service a set of clients located along a line segment under the assumption that not only the server, but also the clients can move along the line and seek to collaborate with the server to speed up service times. We analyze the structure of different problem versions and identify hard and easy subproblems by building up on prior results from the literature…

Extensions of homogeneous distributions on deformations to the normal cone
Moudrik Chamoux
https://arxiv.org/abs/2505.22885 https://a…

Extensions of homogeneous distributions on deformations to the normal cone
On a deformation to the normal cone $\operatorname{DNC}(M,V)$ we show that given a distribution $u\in\mathcal{D}'(\operatorname{DNC}(M,V)\setminus V\times\mathbb{R})$ if $u$ is homogeneous of order $a$ for the zoom action, then it admits an $a$-homogeneous extension $\widetilde{u}\in\mathcal{D}'(\operatorname{DNC}(M,V))$. We describe all such extensions and discuss briefly about how it translates to the work of Van Erp and Yuncken in arXiv:2303.15787 . The technique used come from the results o…

I'm mad at websites that use code that make Firefox unusable. I'd prefer to use one browser, but at some sites I've found that links don't work as soon as one link have been clicked. All links are unclickable when I go back to an earlier side in the browser. Hi cromium, and thus, hi second set of plug-ins/extensions...

This https://arxiv.org/abs/2406.14339 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Mixed multiquadratic splitting fields
We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent $2$ in characteristic $2$. As an application, we provide examples of nonexcellent mixed biquadratic field extensions.

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries
Claudio Alexandre Piedade, Philippe Tranchida
https://arxiv.org/abs/2505.24662

From Group Operations to Geometric Structures: Amalgamations, HNN-Extensions, and Twisting in Coset Geometries
Coset incidence geometries, introduced by Jacques Tits, provide a versatile framework for studying the interplay between group theory and geometry. In this article, we build upon that idea by extending classical group-theoretic constructions (amalgamated products, HNN-extensions, semi-direct products, and twisting) to the setting of coset geometries. This gives a general way to glue together incidence geometries in various ways. This provides a general framework for combining or gluing incide…

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
Huachao Zhang, Chang-An Zhao
https://arxiv.org/abs/2505.23274 https://…

Pure Gaps at Many Places and Multi-point AG Codes from Arbitrary Kummer Extensions
For a Kummer extension defined by the affine equation $y^{m}=\prod_{i=1}^{r} (x-\a_i)^{λ_i}$ over an algebraic extension $K$ of a finite field $\fq$, where $\la_i\in \Z\backslash\{0\}$ for $1\leq i\leq r$, $\gcd(m,q) = 1$, and $\a_1,\cdots,\a_r\in K$ are pairwise distinct elements, we propose a simple and efficient method to find all pure gaps at many totally ramified places. We introduce a bottom set of pure gaps and indicate that the set of pure gaps is completely determined by the bot…

More nonamalgamable forcing extensions
Miha E. Habi\v{c}, Charles Weng, Cathy Zhang
https://arxiv.org/abs/2505.22372 https://arxiv.or…

More nonamalgamable forcing extensions
We extend the results of arXiv:1808.01509 on nonamalgamable forcing extensions to families of posets with wide projections. We also use a different coding method to obtain nonamalgamable extensions by filter-based Mathias forcing.

This https://arxiv.org/abs/1910.14012 has been replaced.
link: https://scholar.google.com/scholar?q=a

$\texttt{HEPfit}$: a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models
$\texttt{HEPfit}$ is a flexible open-source tool which, given the Standard Model or any of its extensions, allows to $\textit{i)}$ fit the model parameters to a given set of experimental observables; $\textit{ii)}$ obtain predictions for observables. $\texttt{HEPfit}$ can be used either in Monte Carlo mode, to perform a Bayesian Markov Chain Monte Carlo analysis of a given model, or as a library, to obtain predictions of observables for a given point in the parameter space of the model, allowin…

It's complete madness, I now have to use several extensions in Firefox to stop autotranslating on sites like Youtube and Reddit, since there is no way to deactivate that in the settings of each site. The internet is getting more stupid everyday.

Extensions of Schr\"odinger operators that generate $C_0$ contraction semigroups
Lawrence Frolov
https://arxiv.org/abs/2506.00231 https://

Extensions of Schrödinger operators that generate $C_0$ contraction semigroups
Consider a non-relativistic quantum particle with wave function $ψ$ in a bounded $C^2$ region $Ω\subset \mathbb{R}^n$, and suppose detectors are placed along the boundary $\partial Ω$. Assume the detection process is irreversible, its mechanism is time independent and also hard, i.e., detections occur only along the boundary $\partial Ω$. Under these conditions Tumulka argued that the dynamics of $ψ$ must be governed by a $C_0$ contraction semigroup that weakly solves the Schrödinger equa…

Unbiased estimation in new Gini index extensions under gamma distributions
Roberto Vila, Helton Saulo
https://arxiv.org/abs/2506.00666 https://

Unbiased estimation in new Gini index extensions under gamma distributions
In this paper, we propose two new flexible Gini indices (extended lower and upper) defined via differences between the $i$-th observation, the smallest order statistic, and the largest order statistic, for any $1 \leqslant i \leqslant m$. For gamma-distributed data, we obtain exact expectations of the estimators and establish their unbiasedness, generalizing prior works by [Deltas, G. 2003. The small-sample bias of the gini coefficient: Results and implications for empirical research. Review of…

On cluster structures of bosonic extensions
Yingjin Bi
https://arxiv.org/abs/2506.00882 https://arxiv.org/pdf/2506.00882

On cluster structures of bosonic extensions
In this paper, we analyze the transition maps for Lusztig's parameterization of the global basis for the bosonic extension $\widehat{\mathcal{A}}(b)$ of the quantum coordinate ring of a unipotent group, where $b$ belongs to the positive braid group $\operatorname{Br}^+$. By examining different reduced expressions of $b$, we establish that the cluster structure on $\widehat{\mathcal{A}}(b)$ remains invariant regardless of the chosen reduced expression. For the simply-laced case, we construct a c…

The White House attacked Amazon about rumors that it would show consumers how much the Republican party tariffs in the USA increased costs. While Amazon isn't going to be transparent about costs you can use plugins (like https://keepa.com/ ) to see how much prices are rising. I would imagine we will see plug…

This https://arxiv.org/abs/2505.15258 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the distances between conjugates of an element
The depth of a simple algebraic extension $(L/K,v)$ of valued fields is the minimal length of the Mac Lane-Vaquié chains of the valuations on $K[x]$ determined by the choice of different generators of the extension. In a previous work, we studied the depth of towers of Artin-Schreier defect extensions. In this paper, we compare the depth to the number of values of the difference between the generator of $L/K$ and its conjugates. We also show that some classic results from number theory cannot …

Quick, can you tell the difference between #dotnet

This https://arxiv.org/abs/2411.06188 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

The thermodynamic profile of AdS black holes in Lorentz-violating Bumblebee and Kalb-Ramond gravity
Lorentz invariance violation (LIV) is a topic of significant interest in quantum gravity and in extensions of the Standard Model of particle physics. Recently, new classes of black hole solutions have been proposed, involving vector fields and rank-two antisymmetric tensor fields that acquire nontrivial vacuum expectation values, resulting in the Bumblebee and Kalb-Ramond (KR) gravity models, respectively. These models exhibit novel geometric structures and differ in notable ways from standard …

#mastodontips mb?
#mastodon #firefoxaddons

Higher-dimensional generalization of Youngs' theorem and circular colorings
Kengo Enami, Takahiro Matsushita
https://arxiv.org/abs/2505.23562 https://

Higher-dimensional generalization of Youngs' theorem and circular colorings
In 1996, Youngs proved that any quadrangulation of the real projective plane is not 3-chromatic. This result has been extended in various directions over the years, including to other non-orientable closed surfaces, higher-dimensional analogues of quadrangulations and circular colorings. In this paper, we provide a generalization which yields some of these extensions of Youngs' theorem.

Cohomology, Homotopy, Extensions, and Automorphisms of Nijenhuis Lie Conformal Algebras
Sania Asif
https://arxiv.org/abs/2505.20867 https://

Cohomology, Homotopy, Extensions, and Automorphisms of Nijenhuis Lie Conformal Algebras
This paper explores various algebraic and homotopical aspects of Nijenhuis Lie conformal algebras, including their cohomology theory, $\mathcal{L}_\infty$-structures, non-abelian extensions, and automorphism groups. We define the cohomology of a Nijenhuis Lie conformal algebra and relate it to the deformation theory of such structures. We also introduce $2$-term Nijenhuis $\mathcal{L}_\infty$-conformal algebras and establish their correspondence with crossed modules and $3$-cocycles in the coho…

This https://arxiv.org/abs/2402.09647 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Decidability of extensions of Presburger arithmetic by generalised polynomials
We show that the extension of Presburger arithmetic by a quadratic generalised polynomial of a specific form is undecidable.

This https://arxiv.org/abs/2412.15138 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Contrasting Pseudoscalar Higgs and Toponium States at the LHC and Beyond
We discuss ways to discriminate at hadron colliders between a quasi-bound toponium state and a pseudoscalar Higgs boson A, as predicted in many extensions of the Standard Model. We apply the discussion to the excess of t tbar threshold events recently observed at the LHC by the CMS collaboration \cite{CMS}, which could in principle be due to either possibility. Working in an effective theory in which only an additional pseudoscalar A boson is present in the spectrum, with a mass above the 2 m_t…

Ergodic automorphisms on Kirchberg algebras
Kengo Matsumoto, Taro Sogabe
https://arxiv.org/abs/2505.23168 https://arxiv.org/pdf/2505.…

Ergodic automorphisms on Kirchberg algebras
Combining the theory of extensions of C*-algebras and the Pimsner construction, we show that every countable infinite discrete group admits an ergodic action on arbitrary unital Kirchberg algebra. In the proof, we give a Pimsner construction realizing many unital subalgebras of a given unital Kirchberg algebra as the fixed point algebras of single automorphisms. Furthermore, for amenable infinite discrete groups, we show that every point-wise outer action on arbitrary unital Kirchberg algebra h…

This https://arxiv.org/abs/2409.18947 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Smooth geometry of skew PBW extensions over commutative polynomial rings I
In this paper, we investigate the differential smoothness of skew PBW extensions over commutative polynomial rings on one and two indeterminates.

This https://arxiv.org/abs/2505.20121 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

The Computability Path Order for Beta-Eta-Normal Higher-Order Rewriting (Full Version)
We lift the computability path order and its extensions from plain higher-order rewriting to higher-order rewriting on beta-eta-normal forms where matching modulo beta-eta is employed. The resulting order NCPO is shown to be useful on practical examples. In particular, it can handle systems where its cousin NHORPO fails even when it is used together with the powerful transformation technique of neutralization. We also argue that automating NCPO efficiently is straightforward using SAT/SMT solve…

Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data
Giuseppe Gaetano Luciano, Andronikos Paliathanasis, Emmanuel N. Saridakis
https://arxiv.org/abs/2506.03019

Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data
Barrow and Tsallis Holographic Dark Energy (HDE) are two recently proposed extensions of the standard HDE framework, incorporating generalized corrections to horizon entropy through the use of Barrow and Tsallis entropies. Tsallis entropy arises from non-extensive statistical phenomena which account for long-range correlations and deviations from additivity, while Barrow entropy emerges from quantum-gravitational effects on the horizon geometry, associated with fractal modifications and deforma…

This https://arxiv.org/abs/2505.13260 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Some remarks on Quillen's Dévissage theorem
In this paper we give a different proof of Quillen's Dévissage theorem using Barwick's theorem of the heart. The key ingredient is a certain short exact sequence of dg categories, which is closely related with the Auslander-type construction for nilpotent extensions which was used in the papers of Kuznetsov-Lunts \cite{KL15}, Land-Tamme \cite{LT19} and the author \cite{E20}.

Recursive Difference Categories and Topos-Theoretic Universality
Andreu Ballus Santacana
https://arxiv.org/abs/2505.22931 https://arx…

Recursive Difference Categories and Topos-Theoretic Universality
We introduce a radically minimal categorical foundation for logic, semantics, and computation, built from a single generative axiom of recursive difference. From the null mnema M0 and iterated labeled extensions by D, we form the free category M and its sheaf topos Sh(M). We prove: Modal completeness: Lawvere-Tierney topologies on Sh(M) classify all standard modal logics (K, T, S4, S5) purely via submonoids of the free monoid D*. Fixed-point expressivity: The internal mu-calculus over infin…

Two years ago at #CSUN I learned about what became my favorite browser extension, BeeLine Reader. I've been a subscriber ever since.
It's easy to set up on desktop, but has been some struggle to get working on Android. But this week I discovered it works with Microsoft's Edge Canary mobile browser, which has experimental support for extensions. Instructions are here:

This https://arxiv.org/abs/2311.07309 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-singular extensions of circle-valued Morse functions
In this paper, we consider the non-singular extension problem for circle-valued Morse functions on closed orientable surfaces. The problem asks, given a circle-valued Morse function $f\colon M\to S^{1}$ on a closed orientable surface $M$, under what condition there exist a compact orientable 3-dimensional manifold $N$ with $\partial N = M$ and a submersion $G\colon N \to S^{1}$ such that $G|_{\partial N}=f$. We provide necessary and sufficient conditions for the existence of a non-singular…

Thanks to PostgreSQL for being a Gold Sponsor of SCALE 22x https://www.socallinuxexpo.org/scale/22x/sponsor/postgresql

Some functors preserving exceptionality
Dajun Liu, Hanpeng Gao, Yu-Zhe Liu
https://arxiv.org/abs/2506.00122 https://arxiv.org/pdf/250…

Some functors preserving exceptionality
We constructed some tensor functors that send each exceptional sequence in a module category to another exceptional sequence in another module category by using split extensions and recollements.

Paired comparison models with strength-dependent ties and order effects
Mark E. Glickman
https://arxiv.org/abs/2505.24783 https://arx…

Paired comparison models with strength-dependent ties and order effects
Paired comparison models, such as the Bradley-Terry (1952) model and its variants, are commonly used to measure competitor strength in games and sports. Extensions have been proposed to account for order effects (e.g., home-field advantage) as well as the possibility of a tie as a separate outcome, but such models are rarely adopted in practice due to poor fit with actual data. We propose a novel paired comparison model that accounts not only for ties and order effects, but recognizes two pheno…

This https://arxiv.org/abs/2505.23690 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Malle's Conjecture for Galois octic fields over $\mathbb Q$
We compute the asymptotic number of octic number fields whose Galois groups over $\mathbb Q$ are isomorphic to $D_4$, the symmetries of a square, when ordering such fields by their absolute discriminants. In particular, we verify the strong form of Malle's conjecture for such octic $D_4$-fields and obtain the constant of proportionality. Our result answers the question of whether a positive proportion of Galois octic extensions of $\mathbb Q$ have non-abelian Galois group in the negative. We fu…

The rank condition and strong rank conditions for Ore extensions
Karl Lorensen, Johan \"Oinert
https://arxiv.org/abs/2505.21030 https://

The rank condition and strong rank conditions for Ore extensions
Let $R$ be a ring, $σ:R\to R$ a ring endomorphism, and $δ:R\to R$ a $σ$-derivation. We establish that the Ore extension $R[x;σ,δ]$ satisfies the rank condition if and only if $R$ does. In addition, we prove analogous results for the right and left strong rank conditions. However, in the right case, the ``if" part requires the hypothesis that $σ$ is an automorphism, whereas, in the left case, this assumption is needed for the ``only if" part. Finally, we provide a new proof of an old resul…

This https://arxiv.org/abs/2402.02204 has been replaced.
link: https://scholar.google.com/scholar?q=a

Construction of the Lax pairs for the delay Lotka-Volterra and delay Toda lattice equations and their reductions to delay Painleve equations
The delay Lotka-Volterra and delay Toda lattice equations are delay-differential extensions of the well-known soliton equations, the Lotka-Volterra and Toda lattice equations, respectively. This paper investigates integrable properties of the delay Lotka-Volterra and delay Toda lattice equations, and study the relationships to the already known delay Painleve equations. First, Backlund transformations, Lax pairs and an infinite number of conserved quantities of these delay soliton equations are…

This https://arxiv.org/abs/2307.11489 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On some properties of the asymptotic Samuel function
The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring. This is an invariant related with algorithmic resolution of singularities of algebraic varieties. Among other results, we study its behavior after certain faithfully flat extensions.

This https://arxiv.org/abs/2410.13967 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A note on the differential smoothness of skew PBW extensions
We investigate the differential smoothness of a certain family of skew Poincaré-Birkhoff-Witt extensions.

Torsion of $\mathbb Q$-curves over number fields of small odd prime degree
Ivan Novak
https://arxiv.org/abs/2506.00753 https://arxiv.…

Torsion of $\mathbb Q$-curves over number fields of small odd prime degree
We determine all groups which occur as torsion subgroups of $\mathbb Q$-curves defined over number fields of degrees $3$, $5$ and $7$. In particular, we prove that every torsion subgroup of a $\mathbb Q$-curve defined over a number field of degree $3,5$ or $7$ already occurs as a torsion subgroup of an elliptic curve with rational $j$-invariant. As the quadratic case has been solved by Le Fourn and Najman, and the case of extensions of prime degree greater than $7$ has been solved by Cremona an…

This https://arxiv.org/abs/2307.11489 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On some properties of the asymptotic Samuel function
The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring. This is an invariant related with algorithmic resolution of singularities of algebraic varieties. Among other results, we study its behavior after certain faithfully flat extensions.

This https://arxiv.org/abs/2312.04666 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The algebra $\mathbb{Z}_\ell[[\mathbb{Z}_p^d]]$ and applications to Iwasawa theory
Let $\ell$ and $p$ be distinct primes, and let $\G$ be an abelian pro-$p$-group. We study the structure of the algebra $Ł:=\Z_\ell[[\G]]$ and of $Ł$-modules. The algebra $Ł$ turns out to be a direct product of copies of ring of integers of cyclotomic extensions of $\Q_\ell$ and this induces a similar decomposition for a family of $Ł$-modules. Inside this family we define Sinnott modules and provide characteristic ideals and formulas à la Iwasawa for orders and ranks of their quotients. Whe…

Malle's Conjecture for Galois octic fields over $\mathbb Q$
Arul Shankar, Ila Varma
https://arxiv.org/abs/2505.23690 https://arxi…

Malle's Conjecture for Galois octic fields over $\mathbb Q$
We compute the asymptotic number of octic number fields whose Galois groups over $\mathbb Q$ are isomorphic to $D_4$, the symmetries of a square, when ordering such fields by their absolute discriminants. In particular, we verify the strong form of Malle's conjecture for such octic $D_4$-fields and obtain the constant of proportionality. Our result answers the question of whether a positive proportion of Galois octic extensions of $\mathbb Q$ have non-abelian Galois group in the negative. We fu…