Tootfinder

Light-cone vector superspace and continuous-spin field in AdS
R. R. Metsaev
https://arxiv.org/abs/2507.05194 https://arxiv.org/pdf/25…

Light-cone vector superspace and continuous-spin field in AdS
In the framework of light-cone gauge vector superspace, a continuous-spin field propagating in AdS space of dimension greater than or equal to four is studied. Use of such framework allows us to find a simple solution for spin operators entering our light-cone gauge Lagrangian formulation. Bosonic continuous-spin field is considered in AdS space of arbitrary dimensions, while the use of a helicity basis in four-dimensional AdS space allows us to consider bosonic and fermionic continuous-spin fi…

Analytical description of the radio Cherenkov cone
Valentin Decoene, Marion Guelfand, Mat\`ias Tueros
https://arxiv.org/abs/2507.05735 https://

Analytical description of the radio Cherenkov cone
Radio emissions from extensive air showers (EAS) provide a valuable tool for detecting ultra-high-energy (UHE) astroparticles. In this context, several radio arrays focus on detecting highly inclined EAS, as this enables the observation of Earth-skimming UHE neutrinos, in addition to cosmic rays and gamma rays. The reconstruction of such inclined events relies heavily on a thorough understanding of the radio features observed on the ground, with the Cherenkov cone being one of the most prominen…

Our garden
#flowers #blooms #garden

A Newton Augmented Lagrangian Method for Symmetric Cone Programming with Complexity Analysis
Rui-Jin Zhang, Ruoyu Diao, Xin-Wei Liu, Yu-Hong Dai
https://arxiv.org/abs/2506.04802

A Newton Augmented Lagrangian Method for Symmetric Cone Programming with Complexity Analysis
Symmetric cone programming incorporates a broad class of convex optimization problems, including linear programming, second-order cone programming, and semidefinite programming. Although the augmented Lagrangian method (ALM) is well-suited for large-scale scenarios, its subproblems are often not second-order continuously differentiable, preventing direct use of classical Newton methods. To address this issue, we observe that barrier functions from interior-point methods (IPMs) naturally serve a…

This https://arxiv.org/abs/2210.14765 has been replaced.
link: https://scholar.google.com/scholar?q=a

Holed cone structures on 3-manifolds
We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety.

This https://arxiv.org/abs/2505.01329 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Semileptonic Decays of $D \to ρl^+ ν$ and $D_{(s)} \to K^\ast l^+ ν$ from Light-Cone Sum Rules
We investigate the semileptonic decays of charmed mesons to light vector mesons within the framework of light-cone sum rules. Our calculation is performed at leading order in QCD coupling, incorporating contributions up to twist-five accuracy from both two-particle and three-particle light-cone distribution amplitudes. Transition form factors are predicted twist by twist to assess the convergence property of the operator product expansion. It is verified that the twist-four and twist-five contr…

Features of the Spatial Distribution of Galaxy Clusters
Andrei I. Ryabinkov, Alexandr D. Kaminker
https://arxiv.org/abs/2506.05847 https://

Features of the Spatial Distribution of Galaxy Clusters
A statistical analysis of anisotropic quasiperiodic features of the spatial distribution of galaxy clusters obtained on the basis of spectroscopic and photometric redshifts in the interval $0.1 \leq z \leq 0.47$ has been carried out. Based on data from the SDSS~III catalog, we show that the preferential direction previously detected in the northern hemisphere (a narrow cone of directions: $α_0=170^\circ \pm 5^\circ, \ δ_0= 29^\circ \pm 5^\circ$), along which the one-dimensional distribution o…

Boundary contacts for reflected random walks in the quarter plane
Viet Hung Hoang, Kilian Raschel
https://arxiv.org/abs/2507.04745 https://

Boundary contacts for reflected random walks in the quarter plane
We investigate reflected random walks in the quarter plane, with particular emphasis on the time spent along the reflection boundary axes. Assuming the drift of the random walk lies within the cone, the local time converges -- without the need for normalization -- to a limiting random variable as the walk length tends to infinity. This paper focuses on the properties of these discrete limiting variables. The problem is rooted in probability theory but also has natural connections to statistical…

Ensemble Simulations of Coronal Mass Ejections in Interplanetary Space with Elliptical Cone Models
Johan Muhamad, Tiar Dani, Muhamad Zamzam Nurzaman, Rasdewita Kesumaningrum, Santi Sulistiani, Farahhati Mumtahana, Gerhana P. Putri, Ayu D. Pangestu, Ahmad Z. Utama
https://arxiv.org/abs/2507.23204

Ensemble Simulations of Coronal Mass Ejections in Interplanetary Space with Elliptical Cone Models
The estimation of CME arrival time strongly depends on the CME propagation models in interplanetary space and the geometrical aspects of the CME model. We conducted ensemble simulations of CMEs propagation with various elliptical cone shapes to study the relation between the CME speed and the optimum cone shape. We numerically searched for the best elliptical aspect ratio of the elliptical cone for each CME in our CME-ICME pair data. We found that the fast CMEs tend to have a higher elliptical …

Coarse cone quotients
Ulrich Bunke
https://arxiv.org/abs/2507.01412 https://arxiv.org/pdf/2507.01412…

Coarse cone quotients
We study the coarse motive of the quotient $\mathcal{O}^{\infty}(X)//G$ of the cone of a uniform bornological coarse space $X$ with $G$-action. If $X$ admits a sufficiently ergodic probability measure, then we show that the coarse assembly map for $\mathcal{O}^{\infty}(X)//G$ is not an equivalence. The main ideas are taken from a recent paper by C. Kitsios, T. Schick and F. Vigolo (arXiv:2504.21811) and adapted to the formalism of coarse homotopy theory based on bornological coarse spaces devel…

Second-Order-Cone Formulations of Power Flow for Topology Optimization
Noah Rhodes, James Luedkte, Line Roald
https://arxiv.org/abs/2506.02234 https://

Second-Order-Cone Formulations of Power Flow for Topology Optimization
Optimization problems that involve topology optimization in scenarios with large scale outages, such as post-disaster restoration or public safety power shutoff planning, are very challenging to solve. Using simple power flow representations such as DC power flow or network flow models results in low quality solutions which requires significantly higher-than-predicted load shed to become AC feasible. Recent work has shown that formulations based on the Second Order Cone (SOC) power flow formula…

*muffled meow*

Cholesky decomposition for symmetric matrices over finite fields
Prateek Kumar Vishwakarma
https://arxiv.org/abs/2508.04657 https://arxiv.org/pdf/2508.0465…

Cholesky decomposition for symmetric matrices over finite fields
Inspired by the seminal work of André-Louis Cholesky -- whose contributions remain crucial even after more than a century in broader sciences -- Cooper, Hanna and Whitlatch (2024) developed a theory of positive matrices over finite fields, and Khare and Vishwakarma (2025) described a general Cholesky factorization for a family of the dense cone of Hermitian matrices over real/complex fields, whose leading principal minors (LPM) are nonzero. Building on this, we develop a parallel theory within…

Cholesky decomposition for symmetric matrices, Riemannian geometry, and random matrices
Apoorva Khare, Prateek Kumar Vishwakarma
https://arxiv.org/abs/2508.02715 https://…

Cholesky decomposition for symmetric matrices, Riemannian geometry, and random matrices
For each $n \geq 1$ and sign pattern $ε\in \{ \pm 1 \}^n$, we introduce a cone of real symmetric matrices $LPM_n(ε)$: those with leading principal $k \times k$ minors of signs $ε_k$. These cones are pairwise disjoint and their union $LPM_n$ is a dense cone in all symmetric matrices; they subsume positive and negative definite matrices, and symmetric (P-,) N-, PN-, almost P-, and almost N- matrices. We show that each $LPM_n$ matrix $A$ admits an uncountable family of Cholesky-type factorizati…

The geometry of Frobenius on toric varieties
Javier Carvajal-Rojas, Emre Alp \"Ozavc{\i}
https://arxiv.org/abs/2506.02994 https://

The geometry of Frobenius on toric varieties
We give a geometric description of the positivity of the Frobenius-trace kernel on a $\mathbb{Q}$-factorial projective toric variety. To do so, we define its Frobenius support as well as the notions of $F$-effectiveness for divisors and $1$-cycles. As it turns out, the interaction of the corresponding cone of $F$-effective curves with the Mori cone of curves reflects the type of extremal Mori contractions that the variety can undergo. As a corollary, we obtain that the Frobenius-trace kernel is…

Experimental investigation of lift-up and instability of the viscous flow induced by a rotating cone-cylinder in an enclosure
Rajkamal Sah, Sumit Sunil Tambe, Gopalan Jagadeesh
https://arxiv.org/abs/2505.23076

Experimental investigation of lift-up and instability of the viscous flow induced by a rotating cone-cylinder in an enclosure
This paper probes into the flow induced by a rotating cone-cylinder model in an enclosure. Two component particle image velocimetry measurements in the symmetry plane reveal that the rotating cone-cylinder causes an outward jet on the cylinder section, which lifts the rotating boundary layers away from the wall. A large-scale counter-rotating vortex pair sets up with its mutual upwash aligned with the lift-up region. Furthermore, the centrifugal instability induces Taylor vortices in the rotati…

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone
Francisco J. Palomo, Alfonso Romero
https://arxiv.org/abs/2507.22566

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone
A general integral inequality is established for compact spacelike submanifolds of codimension two in the Lorentz-Minkowski spacetime under the assumption that the mean curvature vector field is parallel. This inequality is then used to derive a rigidity result. Specifically, we obtain a complete characterization of all compact spacelike submanifolds with parallel mean curvature vector field that lie in the light cone of the Lorentz-Minkowski spacetime: they must be totally umbilical spheres co…

Annihilating and breaking Lorentz cone entanglement
Francesca La Piana, Alexander M\"uller-Hermes
https://arxiv.org/abs/2506.14480 https://

Annihilating and breaking Lorentz cone entanglement
Linear maps between finite-dimensional ordered vector spaces with orders induced by proper cones $C_A$ and $C_B$ are called entanglement breaking if their partial application sends the maximal tensor product $K\otimes_{\max} C_A$ into the minimal tensor product $K\otimes_{\min} C_B$ for any proper cone $K$. We study the larger class of Lorentz-entanglement breaking maps where $K$ is restricted to be a Lorentz cone of any dimension, i.e., any cone over a Euclidean ball. This class of maps appear…

Best bounds for the dual Hardy operator minus identity on decreasing functions
Achraf Ben Said, Gord Sinnamon
https://arxiv.org/abs/2507.02290 https://

Best bounds for the dual Hardy operator minus identity on decreasing functions
The distance from the identity operator $I$ to $H^*$, the dual of the Hardy averaging operator, is studied on the cone of nonnegative, nonincreasing functions in Lebesgue space. The exact value is obtained. Optimal lower bounds are also given for difference, $H^*-I$, of these two operators acting on the same cone. A positive answer is given to a conjecture made in ``The norm of Hardy-type oscillation operators in the discrete and continuous settings'' by A. Ben Said, S. Boza, and J. Soria. Prep…

Investigation of Air Fluidization during Intruder Penetration in Sand
Bowen Wang, Yuxing Peng, Alvaro Vergara, Jordan H. Boyle, Raul Fuentes
https://arxiv.org/abs/2508.03350 htt…

Investigation of Air Fluidization during Intruder Penetration in Sand
Self-burrowing robots navigating through granular media benefit from airflow-assisted burrowing, which reduces penetration resistance. However, the mechanisms underlying airflow-granular interactions remain poorly understood. To address this knowledge gap, we employ a coupled computational fluid dynamics and discrete element method (CFD-DEM) approach, supplemented by experimental cone penetration tests (CPT) under varying airflow conditions, to investigate the effects of aeration on penetration…

Handle-based Mesh Deformation Guided By Vision Language Model
Xingpeng Sun, Shiyang Jia, Zherong Pan, Kui Wu, Aniket Bera
https://arxiv.org/abs/2506.04562 …

Handle-based Mesh Deformation Guided By Vision Language Model
Mesh deformation is a fundamental tool in 3D content manipulation. Despite extensive prior research, existing approaches often suffer from low output quality, require significant manual tuning, or depend on data-intensive training. To address these limitations, we introduce a training-free, handle-based mesh deformation method. % Our core idea is to leverage a Vision-Language Model (VLM) to interpret and manipulate a handle-based interface through prompt engineering. We begin by applying cone s…

GEPAR3D: Geometry Prior-Assisted Learning for 3D Tooth Segmentation
Tomasz Szczepa\'nski, Szymon P{\l}otka, Michal K. Grzeszczyk, Arleta Adamowicz, Piotr Fudalej, Przemys{\l}aw Korzeniowski, Tomasz Trzci\'nski, Arkadiusz Sitek
https://arxiv.org/abs/2508.00155

GEPAR3D: Geometry Prior-Assisted Learning for 3D Tooth Segmentation
Tooth segmentation in Cone-Beam Computed Tomography (CBCT) remains challenging, especially for fine structures like root apices, which is critical for assessing root resorption in orthodontics. We introduce GEPAR3D, a novel approach that unifies instance detection and multi-class segmentation into a single step tailored to improve root segmentation. Our method integrates a Statistical Shape Model of dentition as a geometric prior, capturing anatomical context and morphological consistency witho…

This https://arxiv.org/abs/2505.07960 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

$C^\ast$-categorical prefactorization algebras for superselection sectors and topological order
This paper presents a conceptual and efficient geometric framework to encode the algebraic structures on the category of superselection sectors of an algebraic quantum field theory on the $n$-dimensional lattice $\mathbb{Z}^n$. It is shown that, under certain assumptions which are implied by Haag duality, the monoidal $C^\ast$-categories of localized superselection sectors carry the structure of a locally constant prefactorization algebra over the category of cone-shaped subsets of $\mathbb{Z}^…

The front-yard garden. You don't need much space to grow an awful lot.
#gardening #BloomScrolling

Spectral Energy Correlations of Gamma-Ray Bursts from Structured Jets
X. L. Zhang, Z. B. Zhang, Y. F. Huang, D. Li, X. J. Li, L. M. Song
https://arxiv.org/abs/2508.04487 https:/…

Spectral Energy Correlations of Gamma-Ray Bursts from Structured Jets
Using 148 out-axis gamma-ray bursts, we build their spectrum-energy relations of peak energy versus isotropic energy, peak energy versus peak luminosity and peak energy versus jet-calibrated energy which are corrected for a structured jet model. These relations are found to depend on the observer's viewing angle as long as the observer is within the jet cone. After converting the out-axis energy relations to the in-axis situations, we find that the corresponding in-axis energy relations are uni…

Coffee will be interesting today... the only Oat Milk I have left is Chocolate, and there's just one V60 filter cone 😅

Transition to chaos with conical billiards
Lara Braverman, David R. Nelson
https://arxiv.org/abs/2508.02786 https://arxiv.org/pdf/2508.02786

Transition to chaos with conical billiards
We adapt ideas from geometrical optics and classical billiard dynamics to consider particle trajectories with constant velocity on a cone with specular reflections off an elliptical boundary formed by the intersection with a tilted plane, with tilt angle $γ$. We explore the dynamics as a function of $γ$ and the cone deficit angle $χ$ that controls the sharpness of the apex, where a point source of positive Gaussian curvature is concentrated. We find regions of the ($γ, χ$) plane where, dep…

Sharp Boundary Growth Rate Estimate of the Singular Equation $-\Delta u=u^{-\gamma}$ in a Critical Cone
Leyun Wu, Chilin Zhang
https://arxiv.org/abs/2507.16319

Sharp Boundary Growth Rate Estimate of the Singular Equation $-Δu=u^{-γ}$ in a Critical Cone
For $γ>0$, we study the sharp boundary growth rate estimate of solutions to the Dirichlet problem of the singular Lane-Emden-Fowler equation \begin{equation*} -Δu=u^{-γ} \end{equation*} in a critical $C^{1,1}$ epigraphical cone $Cone_Σ$. We show that the growth rate estimate exhibits fundamentally different behaviors in the following three cases: $1<γ<2$, $γ=2$, and $γ>2$. Moreover, we obtain the sharp growth rate estimate near the origin for $γ>1$. As a consequence, we show that wh…

A Strong Kurepa Tree
John Krueger
https://arxiv.org/abs/2507.01133 https://arxiv.org/pdf/2507.01133

A Strong Kurepa Tree
We prove that it is consistent that there exists a Kurepa tree $T$ such that ${}^{ω_1}2$ is a continuous image of the topological space $[T]$ consisting of all cofinal branches of $T$ with respect to the cone topologies. This result solves an open problem due to Bergfalk, Chodounský, Guzmán, and Hrušák. We also prove that any Kurepa tree with the above property contains an Aronszajn subtree.

This https://arxiv.org/abs/2412.19297 has been replaced.
initial toot: https://mastoxiv.page/@…

The XY model with vision cone: non-reciprocal vs. reciprocal interactions
We study the behavior of the classical XY model on a two-dimensional square lattice, with interactions occurring within a vision cone of each spin. Via Monte Carlo simulations, we explore one non-reciprocal and two reciprocal implementations of these interactions. The corresponding energy involves couplings that depend non-trivially on the system's configuration, leading to both long-range and quasi-long-range ordered phases at low temperatures. Our results demonstrate that non-reciprocity is n…

Seeing through the light cone: Visualizing electromagnetic fields in special relativity
Daiju Nakayama, Kin-ya Oda, Koichiro Yasuda
https://arxiv.org/abs/2505.20596

Seeing through the light cone: Visualizing electromagnetic fields in special relativity
The theoretical framework of electromagnetism played a foundational role in Einstein's development of special relativity. To support conceptual understanding, we present a fully special relativistic computer simulation that visualizes electromagnetic fields from the perspective of a moving observer. In this simulation, the user observes electromagnetic phenomena through their past light cone and directly experiences the Lorentz force acting at that spacetime point. The electromagnetic field is …

Numerical analysis of the convex relaxation of the barrier parameter functional of self-concordant barriers
Vitali Pirau, Roland Hildebrand
https://arxiv.org/abs/2507.01812

Numerical analysis of the convex relaxation of the barrier parameter functional of self-concordant barriers
Self-concordant barriers are essential for interior-point algorithms in conic programming. To speed up the convergence it is of interest to find a barrier with the lowest possible parameter for a given cone. The barrier parameter is a non-convex function on the set of self-concordant barriers on a given cone, and finding an optimal barrier amounts to solving a non-convex infinite-dimensional optimization problem. In this work we study the degradation of the optimal value of the problem when the…

🇺🇦 #NowPlaying on KEXP's #Early
Florry:
🎵 Dip Myself in Like an Ice Cream Cone
#Florry
https://florry.bandcamp.com/track/dip-myself-in-like-an-ice-cream-cone
https://open.spotify.com/track/2xVIBoRnyhbbllb0x2CcHB

#NowPlaying ❝I really didn't plan on bringing back #Roséwave. (Took a year off for ~reasons~.) But we got enough emails and DMs to make me realize: People really need something silly and E•MO•TION•AL right now. So I hope this gives you 6 hours of something else to feel.❞

Sections and cones
Tatiana Shulman
https://arxiv.org/abs/2507.22783 https://arxiv.org/pdf/2507.22783

Sections and cones
By Bartle-Graves theorem every surjective map between C*-algebras has a continuous section, and Loring proved that that there exists a continuous section of norm arbitrary close to 1. Here we prove that there exists a continuous section of norm exactly 1. This result is used in the second part of the paper which is devoted to properties of cone C*-algebras. It is proved that any $\ast$-homomorphism from the cone over a separable C*-algebra to a quotient C*-algebra always lifts to a contractiv…

On polynomial inequalities for cone-volumes of polytopes
Tom Baumbach, Martin Henk
https://arxiv.org/abs/2506.15370 https://arxiv.org…

On polynomial inequalities for cone-volumes of polytopes
Motivated by the discrete logarithmic Minkowski problem we study for a given matrix $U\in\mathbb{R}^{n\times m}$ its cone-volume set $C_{\tt cv}(U)$ consisting of all the cone-volume vectors of polytopes $P(U,b)=\{ x\in\mathbb{R}^n : U^\intercal x\leq b\}$, $b\in\mathbb{R}^n_{\geq 0}$. We will show that $C_{\tt cv}(U)$ is a path-connected semialgebraic set which extends former results in the planar case or for particular polytopes. Moreover, we define a subspace concentration polytope $P_{\tt s…

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…

This https://arxiv.org/abs/2501.08783 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Form factors of light pseudoscalar mesons from the perturbative QCD approach
We study the electromagnetic and meson-photon transition form factors (TFF) of light pseudoscalar mesons from the perturbative QCD (pQCD) approach. To comprehensively account for both the longitudinal and transverse nonperturbative dynamics of hadronic constituents, we incorpoarate intrinsic transverse momentum distributions (iTMDs) alongside the conventional light-cone distribution amplitudes (LCDAs). The main motivations of this work are the disjointedness of electromagnetic form factors betw…

Flexible hyperbolic cone metrics on the genus 2 surface
Katherine Chui, Jacob Russell
https://arxiv.org/abs/2507.19677 https://arxiv.org/pdf/2507.19677

Flexible hyperbolic cone metrics on the genus 2 surface
A negatively curved hyperbolic cone metric on a surface is rigid if it is determined by the support of its Liouville current. We use a theorem of Erlandsson, Leininger, and Sadanand to show that there are nine mapping class group orbits of equivalence classes of non-rigid (aka flexible) metrics in the case of the genus 2 surface.

Cone-jet Stokes solutions in strong viscous flows: the vanishing flow rate limit
Alfonso M. Ganan-Calvo, Miguel A. Herrada, Jens Eggers
https://arxiv.org/abs/2505.24741

Cone-jet Stokes solutions in strong viscous flows: the vanishing flow rate limit
Steady tip streaming in the vanishing flow rate limit has been evidenced both experimentally and numerically in the literature. However, local conical Stokes flow solutions supporting these results at vanishing small scales around the emitting tip have remained elusive. This work presents approximate local conical solutions in liquid-liquid flow focusing and tip streaming, in general, as the limit of a macroscopic vanishing issued flow rate. This provides mathematical foundations for the existe…

This https://arxiv.org/abs/2411.04178 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Breaking boundaries: extending the orbit-averaged Fokker-Planck equation inside the loss cone
In this Letter, we present a new formulation of loss cone theory as a reaction-diffusion system, which accounts for loss cone events through a sink term and can be orbit-averaged. It can recover the standard approach based on boundary conditions, and is derived from a simple physical model that overcomes many of the classical theoretical constraints. We test our formulation by computing the relaxed distribution of disruptive orbits in phase space, that has a simple analytic form and matches the…

Symplectic Classes on Elliptic Surfaces I
Josef G. Dorfmeister, Tian-Jun Li
https://arxiv.org/abs/2507.20940 https://arxiv.org/pdf/2507.20940

Symplectic Classes on Elliptic Surfaces I
A key question for $4$-manifolds $M$ admitting symplectic structures is to determine which cohomology classes $α\in H^2(M,\mathbb R)$ admit a symplectic representative. The collection of all such classes, the symplectic cone $\mathcal C_M$, is a basic smooth invariant of $M$. This paper describes the symplectic cone for elliptic surfaces without multiple fibers.

I'm giving out free ice cream in Enderis Park tonight at 6pm. No ICE, just Ice Cream!
(There's also a concert going on, but I just give out ice cream until it runs out. Four flavors, and one will be dairy free.)
#mke #milwaukee

In which Banach spaces is the polar of every convex cone convex
A. B. N\'emeth
https://arxiv.org/abs/2507.22739 https://arxiv.org/pdf/2507.22739…

In which Banach spaces is the polar of every convex cone convex
Using the notion of the normalized duality map it is characterized the class of the uniformly convex uniformly smooth Banach spaces in which each convex cone has a convex polar.

This https://arxiv.org/abs/2411.19091 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hep…

Updated determination of light-cone distribution amplitudes of octet baryons in lattice QCD
We present updated results on the wave function normalization constants and the first moments of the light cone distribution amplitudes for the lowest-lying baryon octet. The analysis is carried out on a large number of $n_f=2+1$ lattice gauge ensembles, including ensembles at physical pion (and kaon) masses. These are spread across five different lattice spacings, enabling a controlled continuum limit. The main differences with respect to our earlier work are the use of two-loop conversion fac…

Is Cuddlepunk a thing? It should totally be a thing.

On MAP estimates and source conditions for drift identification in SDEs
Daniel Tenbrinck, Nikolas Uesseler, Philipp Wacker, Benedikt Wirth
https://arxiv.org/abs/2507.18443 https…

On MAP estimates and source conditions for drift identification in SDEs
We consider the inverse problem of identifying the drift in an SDE from $n$ observations of its solution at $M+1$ distinct time points. We derive a corresponding MAP estimate, we prove differentiability properties as well as a so-called tangential cone condition for the forward operator, and we review the existing theory for related problems, which under a slightly stronger tangential cone condition would additionally yield convergence rates for the MAP estimate as $n\to\infty$. Numerical simul…

Entanglement spreading and emergent locality in Brownian SYK chains
Onkar Parrikar, Jatin Narde, Harshit Rajgadia, Sandip Trivedi
https://arxiv.org/abs/2508.00060 https://

Entanglement spreading and emergent locality in Brownian SYK chains
The Ryu-Takayanagi (RT) formula and its interpretation in terms of quantum error correction (QEC) implies an emergent locality for the spread of quantum information in holographic CFTs, where information injected at a point in the boundary theory spreads within a sharp light-cone corresponding to the butterfly velocity. This emergent locality is a necessary condition for the existence of a geometric bulk dual with an RT-like formula for entanglement entropy. In this paper, we use tools from QEC…

Enhanced plasma heating via interaction with high-contrast laser and cone-shaped target
Yuga Karaki, Yoshitaka Mori, Eigo Ebisawa, Yuichi Inubushi, Sadaoki Kojima, Kohei Yamanoi, Yuki Abe, Takumi Tsuido, Hiroki Matsubara, Rinya Akematsu, Ryo Omura, Ryunosuke Takizawa, King Fai Farley Law, Eisuke Miura, Yasunobu Arikawa, Keisuke Shigemori, Akifumi Iwamoto, Katsuhiro Ishii, Ryohei Hanayama, Yoneyoshi Kitagawa, Hiroshi Sawada, Takayoshi Sano, Natsumi Iwata, Yasuhiko Sentoku, Atsushi Sunah…

Enhanced plasma heating via interaction with high-contrast laser and cone-shaped target
We investigated plasma heating enhancement using a high-intensity, high-contrast laser and a cone-attached target. Fast electron spectra and X-ray emission were measured with an electron spectrometer and a Bragg crystal spectrometer. The results were analyzed using PrismSPECT simulations with a two-component electron distribution model and empirical scaling laws. X-ray pinhole images showed that the cone effectively focused multi-spot laser light near its tip, enhancing local emission. While hi…

So this is how it ends, not with a bang, but with six fingers holding a bacon icecream cone and only two r's in our strawberries.
But I can hear the blaring KA-CHING! KA-CHING! now.
G7 agrees to increase use of artificial intelligence in public sector | #CanPoli | thecanadianpressnews
https://www.thecanadianpressnews.ca/politics/g7-agrees-to-increase-use-of-artificial-intelligence-in-public-sector/article_7a49ae0e-d038-5387-bc65-9c4dfc7cd666.html

Iceland says hi. 👋
#Eldfell #Vestmannaeyjar #Heimaey

Variation of Kahler-Einstein metrics with mixed singularities
Xin Fu, Jiyuan Han, Yongpan Zou
https://arxiv.org/abs/2508.02212 https://arxiv.org/pdf/2508.0…

Variation of Kahler-Einstein metrics with mixed singularities
In this short note, we consider a fiberation f: (X, Delta) to Y between two compact Kahler manifolds with generic fiber of f being a smooth log canonical pair with ample canonical divisor, we prove that the current induced by variation of Kahler Einsteins with mixed cone and Poincare singularities is positive, hence generalize the result of Schumacher in the smooth case [22] and the result of Guenancia in the conic case [14]. As application, we prove the surjectivity of Albanese map for a smoot…

Closed-Form Decomposition for Simplicial Cones and PDBarv Algorithm for Lattice Point Counting
Sihao Tao, Guoce Xin, Zihao Zhang
https://arxiv.org/abs/2506.19322

Closed-Form Decomposition for Simplicial Cones and PDBarv Algorithm for Lattice Point Counting
Counting lattice points within a rational polytope is a foundational problem with applications across mathematics and computer science. A key approach is Barvinok's algorithm, which decomposes the lattice point generating function of cones to that of unimodular cones. However, standard implementations face difficulties: the original primal method struggles with points on cone boundaries, while the alternative dual method can be slow for certain cone types. This paper introduces two main contr…

A new addition to the zoo of isolated symplectic singularities
Callum Berry
https://arxiv.org/abs/2505.24524 https://arxiv.org/pdf/25…

A new addition to the zoo of isolated symplectic singularities
We give details of a new isolated symplectic singularity found in an affine chart in a crepant partial resolution of $\mathbb{C}^4/G_5$, which is 4-dimensional, isolated, and locally simply-connected. We distinguish the new singularity among all known such by the fact that the projective tangent cone at the singularity is non-reduced. We also find all 12 of its $\mathbb{Q}$-factorial terminalisations, in the process finding 24 for the quotient singularity $\mathbb{C}^4/G_5$.

Connection Between Classical and Quantum Descriptions of Spin Waves Using Quantum Circuits
Daniel D. Stancil, Bojko N. Bakalov, Gregory T. Byrd
https://arxiv.org/abs/2507.22845 …

Connection Between Classical and Quantum Descriptions of Spin Waves Using Quantum Circuits
A quantum computing circuit is presented that approximates a single spin wave quantum on a linear chain of spin 1/2 particles described by a Heisenberg Hamiltonian. The circuit is a product state where each qubit represents a spin. The spin wave motion is represented by opening the cone angle using Y rotations and then adding progressive Z rotations along the chain to represent wave propagation. We show analytically that this product state yields the correct dispersion relation in the limit of …

Linear and Second-order-cone Valid Inequalities for Problems with Storage
Juan M. Morales
https://arxiv.org/abs/2506.21470 https://ar…

Linear and Second-order-cone Valid Inequalities for Problems with Storage
Batteries are playing an increasingly central role as distributed energy resources in the shift toward power systems dominated by renewable energy sources. However, existing battery models must invariably rely on complementarity constraints to prevent simultaneous charging and discharging, rendering models of a disjunctive nature and NP-hard. In this paper, we analyze the disjunctive structure of the battery's feasible operational set and uncover a submodularity property in its extreme power tr…

On a minimal free resolution of the residue field over a local ring of codepth 3 of class T
Van C. Nguyen, Oana Veliche
https://arxiv.org/abs/2506.21505 ht…

On a minimal free resolution of the residue field over a local ring of codepth 3 of class T
Let $R$ be any local ring with residue field $k$, and $A$ the homology of the Koszul complex on a minimal set of generators of the maximal ideal of $R$. In this paper, we show that a minimal free resolution of $k$ over $R$ can be obtained from a graded minimal free resolution of $k$ over $A$. More precisely, this is done by the iterated mapping cone construction, introduced by the authors in a previous work, using specific choices of ingredients. As applications, using this general perspective,…

Mixed-integer Second-Order Cone Programming for Multi-period Scheduling of Flexible AC Transmission System Devices
Mohamad Charara (Polytechnique Montr\'eal, GERAD,MILA, Canada), Martin De Montigny (Hydro-Qu\'ebec, Canada), Nivine Abou Daher (Hydro-Qu\'ebec, Canada), Hanane Dagdougui (Polytechnique Montr\'eal, GERAD,MILA, Canada), Antoine Lesage-Landry (Polytechnique Montr\'eal, GERAD,MILA, Canada)

Mixed-integer Second-Order Cone Programming for Multi-period Scheduling of Flexible AC Transmission System Devices
With the increasing energy demand and the growing integration of renewable sources of energy, power systems face operational challenges such as overloads, losses, and stability concerns, particularly as networks operate near their capacity limits. Flexible alternating current transmission system (FACTS) devices are essential to ensure reliable grid operations and enable the efficient integration of renewable energy. This work introduces a mixed-integer second-order cone programming (MISOCP) mod…

DIGS: Dynamic CBCT Reconstruction using Deformation-Informed 4D Gaussian Splatting and a Low-Rank Free-Form Deformation Model
Yuliang Huang, Imraj Singh, Thomas Joyce, Kris Thielemans, Jamie R. McClelland
https://arxiv.org/abs/2506.22280

DIGS: Dynamic CBCT Reconstruction using Deformation-Informed 4D Gaussian Splatting and a Low-Rank Free-Form Deformation Model
3D Cone-Beam CT (CBCT) is widely used in radiotherapy but suffers from motion artifacts due to breathing. A common clinical approach mitigates this by sorting projections into respiratory phases and reconstructing images per phase, but this does not account for breathing variability. Dynamic CBCT instead reconstructs images at each projection, capturing continuous motion without phase sorting. Recent advancements in 4D Gaussian Splatting (4DGS) offer powerful tools for modeling dynamic scenes, …

Excess-continuous prox-regular sweeping processes
Vincenzo Recupero, Federico Stra
https://arxiv.org/abs/2507.21646 https://arxiv.org/pdf/2507.21646…

Excess-continuous prox-regular sweeping processes
In this paper we consider the Moreau's sweeping processes driven by a time dependent prox-regular set $C(t)$ which is continuous in time with respect to the asymmetric distance $e$ called the excess, defined by $e(A,B) := \sup_{x \in A} d(x,B)$ for every pair of sets $A$, $B$ in a Hilbert space. As observed by J.J. Moreau in his pioneering works, the excess provides the natural topological framework for sweeping process. Assuming a uniform interior cone condition for $C(t)$, we prove that the a…

Invariant measures on the transversal hull of cone semigroups and some applications
Danilo Polo Ojito, Emil Prodan, Tom Stoiber
https://arxiv.org/abs/2507.06757

Invariant measures on the transversal hull of cone semigroups and some applications
Let $\LL_{\bf v}\subset \Z^D$ be a suitable cone semigroup and $\A_{\bf v}$ its reduced semigroup $C^*$-algebra. In this paper, we compute the $\LL_{\bf v}$-invariant measures in the transversal hull of the semigroup $\LL_{\bf v}$ that exhibit regularity in the boundaries of $\LL_{\bf v}.$ These measures enable the construction of a trace per-unit hypersurface for observables in $\A_{\bf v}$ supported near the boundaries of $\LL_{\bf v}$, leading to the construction of appropriate Chern cocycle…

Counting Reciprocal Hyperbolic Elements in Hecke Groups
Ara Basmajian, Blanca Marmolejo, Robert Suzzi Valli
https://arxiv.org/abs/2505.21365 https://

Counting Reciprocal Hyperbolic Elements in Hecke Groups
A reciprocal geodesic on a (2,k, $\infty$) Hecke surface is a geodesic loop based at an even order cone point p traversing its path an even number of times. Associated to each reciprocal geodesic is the conjugacy class of a hyperbolic element in the (2,k,$\infty$) Hecke group whose axis passes through a cone point that projects to p. Such an element is called a reciprocal hyperbolic element based at p. In this paper, we determine the asymptotic growth rate and limiting constant (in terms of w…

Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$
Benjy Firester, Raphael Tsiamis, Yipeng Wang
https://arxiv.org/abs/2507.22373 https://a…

Uniqueness of Cylindrical Tangent Cones $C_{p,q} \times \mathbb{R}$
We show the uniqueness of the cylindrical tangent cone $C(\mathbb{S}^2 \times \mathbb{S}^4) \times \mathbb{R}$ for area-minimizing hypersurfaces in $\mathbb{R}^9$, completing the uniqueness of all tangent cones of the form $C_{p,q} \times \mathbb{R}$ proved by Simon for dimensions at least 10 and Székelyhidi for the Simons cone.

This https://arxiv.org/abs/2408.05481 has been replaced.
link: https://scholar.google.com/scholar?q=a

Covariant Electromagnetism in Past-Light-Cone Formalism
We present a manifestly covariant formulation of relativistic electromagnetism, focusing on the computation of electromagnetic fields from moving charges in a manifestly Lorentz-covariant manner. The electromagnetic field at a given spacetime point is determined by the motion of point charges at the intersection of their worldlines with the past light cone of the spacetime point, ensuring causal consistency. This formalism provides a manifestly covariant generalization of the Liénard-Wiechert …

Spatially tailored spin wave excitation for spurious-free, low-loss magnetostatic wave filters with ultra-wide frequency tunability
Shuxian Wu, Shun Yao, Xingyu Du, Chin-Yu Chang, Roy H. Olsson III
https://arxiv.org/abs/2507.14469

Spatially tailored spin wave excitation for spurious-free, low-loss magnetostatic wave filters with ultra-wide frequency tunability
Yttrium iron garnet magnetostatic wave (MSW) radio frequency (RF) cavity filters are promising for sixth-generation (6G) communication systems due to their wide frequency tunability. However, the presence of severe spurious modes arising from the finite cavity dimensions severely degrades the filter performance. We present a half-cone transducer that spatially tailors spin wave excitation to selectively enhance the primary cavity modes comprising the MSW filter passband, while strongly suppress…

Fourier Transform and the minimal representation of $E_7$
Wee Teck Gan, Nadya Gurevich
https://arxiv.org/abs/2507.16968 https://arxiv.org/pdf/2507.16968

Fourier Transform and the minimal representation of $E_7$
We consider the minimal representation of the adjoint split group $E_7$ over a p-adic field. The representation has a model in a space of functions on a 17 dimensional cone $Ω$, and elements of the unique parabolic subgroup Q with abelian radical act by simple geometric formulas. We write a formula for the action of an involutive element $s$, conjugating $Q$ to the opposite parabolic $\bar Q$. The resulting integral operator, called a Fourier transform on $Ω$, is related to generalized Fourie…

This poor dog of mine is a bit of a disaster when she's not being sweet. We'll get through it. Just probably a long year.
#dogsofmastodon

$W^{1,p}$ priori estimates for solutions of linear elliptic PDEs on subanalytic domains
Guillaume Valette
https://arxiv.org/abs/2506.22913 https://

$W^{1,p}$ priori estimates for solutions of linear elliptic PDEs on subanalytic domains
We prove a priori estimates for solutions of order $2$ linear elliptic PDEs in divergence form on subanalytic domains. More precisely, we study the solutions of a strongly elliptic equation $Lu=f$, with $f\in L^2(\mathcalΩ)$ and $Lu=div (A(x) \nabla u)$, and, given a bounded subanalytic domain $\mathcalΩ$, possibly admitting non metrically conical singularities within its boundary, we provide explicit conditions on the tangent cone of the singularities of the boundary which ensure that $|…

Hilbert basis in the face-centered cubic grid -- mathematical proofs
Bela Vizvari, Gergely Kovacs, Benedek Nagy, Necet Deniz Turgay
https://arxiv.org/abs/2507.16464

Hilbert basis in the face-centered cubic grid -- mathematical proofs
The Hilbert basis is fundamental in describing the structure of the integer points of a polyhedral cone. The face-centered cubic grid is one of the densest packing of the 3-dimensional space. The cycles of a grid satisfy the constraint set of a pointed, polyhedral cone which contains only non-negative integer vectors. The Hilbert basis of a grid gives the structure of the basic cycles in the grid. It is shown in this paper that the basic cycles of the FCC grid belong to 11 types. It is also dis…

A network-theoretic approach for characterizing Mack-mode instability in high-speed boundary layers
Sai Prasad Mohanty, Nikhil Khobragade, Gaurav Chopra, Aswathi Krishna, R. I. Sujith, Subrahmanyam Duvvuri
https://arxiv.org/abs/2507.00370

A network-theoretic approach for characterizing Mack-mode instability in high-speed boundary layers
Here we present a network theory-based approach to investigate the Mack-mode instability signature found in high-speed schlieren data from a Mach 6 laminar boundary layer flow over a $7^\circ$ cone. The data contain instability wave packets in the form of coherent rope-like structures which exhibit intermittency. The intermittency implies that conventional Fourier techniques are not particularly well suited for analysis. Network analysis, which is well known for handling episodic spatio-tempora…

Directional Neutrino Bursts from Spinning and Moving Primordial Black Holes
Arnab Chaudhuri, Priya Mishra, Rukmani Mohanta
https://arxiv.org/abs/2507.20207 https://

Directional Neutrino Bursts from Spinning and Moving Primordial Black Holes
We show that primordial black holes (PBHs) with significant spin and bulk motion produce sharply collimated neutrino bursts from Hawking evaporation, arising from the interplay of spin-induced angular anisotropy and relativistic Doppler boosting. This effect shifts the neutrino spectrum into the multi-GeV to hundreds of GeV range, where atmospheric backgrounds drop steeply, and enhances the flux by orders of magnitude within a narrow forward cone. We compute the full lab-frame neutrino distribu…

Generalized cones admitting a curvature-dimension condition
Matteo Calisti, Christian Ketterer, Clemens S\"amann
https://arxiv.org/abs/2506.02723 http…

Generalized cones admitting a curvature-dimension condition
We study (generalized) cones over metric spaces, both in Riemannian and Lorentzian signature. In particular, we establish synthetic lower Ricci curvature bounds à la Lott-Villani-Sturm and Ohta in the metric measure case, and à la Cavalletti-Mondino in Lorentzian signature. Here, a generalized cone is a warped product of a one-dimensional base space, which will be positive or negative definite, over a fiber that is a metric space. We prove that Riemannian or Lorentzian generalized cones over …

This https://arxiv.org/abs/2504.11382 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The tangent cone to the real determinantal variety: various expressions and a proof
The set of real matrices of upper-bounded rank is a real algebraic variety called the real generic determinantal variety. An explicit description of the tangent cone to that variety is given in Theorem 3.2 of Schneider and Uschmajew [SIAM J. Optim., 25 (2015), pp. 622-646]. The present paper shows that the proof therein is incomplete and provides a proof. It also reviews equivalent descriptions of the tangent cone to that variety. Moreover, it shows that the tangent cone and the algebraic tange…

SCET sum rules for $\Lambda_b \to \Lambda \ell^ \ell^-$, $\Lambda \gamma$ decays
Long-Shun Lu, Cai-Dian L\"u, Yue-Long Shen, Yan-Bing Wei
https://arxiv.org/abs/2506.21419

SCET sum rules for $Λ_b$ $\rightarrow$ $Λ\ell^+\ell^-$, $Λγ$ decays
We construct light-cone sum rules for various types of effective form factors in the $Λ_b \to Λ\ell^+\ell^-$ and $Λ_b \to Λγ$ decays by analyzing vacuum-to-$Λ_b$ (or $γ^\ast$-to-$Λ_b$) correlation functions with the light $Λ$-baryon interpolating current. These form factors, defined via hadronic matrix elements within soft-collinear effective theory (SCET), enter the next-to-leading-power QCD factorization formulas for large-recoil transitions. Implementing the perturbative matching fr…

NeRF-based CBCT Reconstruction needs Normalization and Initialization
Zhuowei Xu, Han Li, Dai Sun, Zhicheng Li, Yujia Li, Qingpeng Kong, Zhiwei Cheng, Nassir Navab, S. Kevin Zhou
https://arxiv.org/abs/2506.19742

NeRF-based CBCT Reconstruction needs Normalization and Initialization
Cone Beam Computed Tomography (CBCT) is widely used in medical imaging. However, the limited number and intensity of X-ray projections make reconstruction an ill-posed problem with severe artifacts. NeRF-based methods have achieved great success in this task. However, they suffer from a local-global training mismatch between their two key components: the hash encoder and the neural network. Specifically, in each training step, only a subset of the hash encoder's parameters is used (local sparse…

Affine semigroups without consecutive small elements
J. C. Rosales, R. Tapia-Ramos, A. Vigneron-Tenorio
https://arxiv.org/abs/2506.17152 https://

Affine semigroups without consecutive small elements
An $\mathcal{A}$-semigroup is a numerical semigroup without consecutive small elements. This work generalizes this concept to finite-complement submonoids of an affine cone $\mathcal{C}$. We develop algorithmic procedures to compute all $\mathcal{A}$-semigroups with a given Frobenius element (denoted by $\mathcal{A}(f)$), and with fixed Frobenius element and multiplicity. Moreover, we analyze the $\mathcal{A}(f)$-systems of generators. Furthermore, we study $\mathcal{A}$-numerical semigroups wi…

Positive cones of the projectivization of a parabolic bundle over a curve
Ashima Bansal, Indranil Biswas, Souradeep Majumder
https://arxiv.org/abs/2506.17594

Positive cones of the projectivization of a parabolic bundle over a curve
We study the positivity properties of the projectivization of a parabolic bundle over a smooth complex projective curve. The generators of its Néron--Severi group are computed, and the positive cone is determined. In particular, we compute explicitly the generators for the higher nef cones and the pseudoeffective cones. As an application, we deduce a necessary and sufficient condition for the semistability of a parabolic bundle.

A characterization of the Carath\'eodory number for $H$-convexity
Vuong Bui
https://arxiv.org/abs/2507.11013 https://arxiv.org/pd…

A characterization of the Carathéodory number for $H$-convexity
We show that the Carathéodory number for $H$-convexity is the maximum of two parameters: the Helly number for $H$-convexity and the cone number of $H$. The cone number in this article is defined as the maximal number of points of $H$ in conical position with an empty positive hull relative to the remaining points. Earlier partial results by Boltyanski and Martini can provide an exact value for the Carathéodory number only when the Helly number is $1$ or $2$. We further establish connections…

Quantum and classical algorithms for SOCP based on the multiplicative weights update method
M. Isabel Franco Garrido, Alexander M. Dalzell, Sam McArdle
https://arxiv.org/abs/2507.14127

Quantum and classical algorithms for SOCP based on the multiplicative weights update method
We give classical and quantum algorithms for approximately solving second-order cone programs (SOCPs) based on the multiplicative weights (MW) update method. Our approach follows the MW framework previously applied to semidefinite programs (SDPs), of which SOCP is a special case. We show that the additional structure of SOCPs can be exploited to give better runtime with SOCP-specific algorithms. For an SOCP with $m$ linear constraints over $n$ variables partitioned into $r \leq n$ second-order …

An Efficient Augmented Lagrangian Method for Dynamic Optimal Transport on Surfaces Based on Second-Order Cone Programming
Liang Chen, Youyicun Lin, Yuxuan Zhou
https://arxiv.org/abs/2506.08988

An Efficient Augmented Lagrangian Method for Dynamic Optimal Transport on Surfaces Based on Second-Order Cone Programming
This paper proposes an efficient numerical optimization approach for solving dynamic optimal transport (DOT) problems on general smooth surfaces, computing both the quadratic Wasserstein distance and the associated transportation path. Building on the convex DOT model of Benamou and Brenier, we first properly reformulate its dual problem, discretized on a triangular mesh for space together with a staggered grid for time, to a linear second-order cone programming. Then the resulting finite-dimen…

Supersymmetry and integrability of the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ superstring
Ben Hoare, Fiona K. Seibold
https://arxiv.org/abs/2507.18548

Supersymmetry and integrability of the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ superstring
We construct a 1-parameter family of Ramond-Ramond fluxes supporting the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ metric with constant dilaton and preserving 8 of the 16 supercharges of the undeformed background. On the supersymmetric locus, we compute the tree-level worldsheet S-matrix in uniform light-cone gauge up to quadratic order in fermions and find that it non-trivially satisfies the classical Yang-Baxter equation. Moreover, imposing classical integrability and …

Universal non-CD of sub-Riemannian manifolds
Dimitri Navarro, Jiayin Pan
https://arxiv.org/abs/2507.00471 https://arxiv.org/pdf/2507.…

Universal non-CD of sub-Riemannian manifolds
We prove that a sub-Riemannian manifold equipped with a full-support Radon measure is never $\mathrm{CD}(K,N)$ for any $K\in \mathbb{R}$ and $N\in (1,\infty)$ unless it is Riemannian. This generalizes previous non-CD results for sub-Riemannian manifolds, where a measure with smooth and positive density is considered. Our proof is based on the analysis of the tangent cones and the geodesics within. Secondly, we construct new $\mathrm{RCD}$ structures on $\mathbb{R}^n$, named cone-Grushin spaces,…

Equi-bounded on order intervals families of semi-norms
Eduard Emelyanov
https://arxiv.org/abs/2507.18659 https://arxiv.org/pdf/2507.18659

Equi-bounded on order intervals families of semi-norms
It is proved that equi-bounded on order intervals families of semi-norms on an ordered Banach space with a closed generating cone are equi-continuous.

A New Ultrafast Printer for Large-Scale Assembly of Piezoelectric Biomaterials
Nan An, Mingtong Chen, Zhengbao Yang
https://arxiv.org/abs/2507.15167 https:…

A New Ultrafast Printer for Large-Scale Assembly of Piezoelectric Biomaterials
We propose a modular, fast and large-area fabrication of bio-piezoelectric films. The technique is based on the formation of cone-jet mode by applying a high voltage electric field to conductive spiked metal disks. And the self-assembly process of biomolecular materials through nanoconfinement with in-situ poling effect. This job achieved print speeds of up to 9.2 109 um3/s with a combination of only 2 printheads. At the same time, the modular design allows the MLSP to achieve theoretically unl…

This https://arxiv.org/abs/2410.05132 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the uniqueness of tangent cones to area minimizing currents at boundaries with arbitrary multiplicity
We consider an area minimizing current $T$ in a $C^2$ submanifold $Σ$ of $\mathbb{R}^{m+n}$, with arbitrary integer boundary multiplicity $\partial T = Q [\![ Γ]\!]$ where $Γ$ is a $C^2$ submanifold of $Σ$. We show that at every density $Q/2$ boundary point the tangent cone to $T$ is unique and there is a power rate of convergence to the unique tangent cone. In particular, if $Γ$ is a closed manifold which lies at the boundary of a uniformly convex set $Ω$ and $Σ=\mathbb{R}^{m+n}$ then…

Kaon structure modifications in strange hadronic matter
Manpreet Kaur, Abi Jebarson A, Dhananjay Singh, Navpreet Kaur, Suneel Dutt, Harleen Dahiya, Arvind Kumar
https://arxiv.org/abs/2506.19347

Kaon structure modifications in strange hadronic matter
We present the valence quark distributions of the kaons in an isospin asymmetric dense strange medium consisting of nucleons and hyperons. The comparative analysis of in-medium parton distribution functions, electromagnetic form factors, and charge densities with respect to the free space distributions is studied in the light-cone quark model. The medium effects are incorporated in these distribution functions by using the effective quark masses, computed from the chiral SU(3) quark mean field …

Finslerian lightconvex boundaries: applications to causal simplicity and the space of cone geodesics $\mathcal{N}$
J\'onatan Herrera, Miguel S\'anchez
https://arxiv.org/abs/2506.09032

Finslerian lightconvex boundaries: applications to causal simplicity and the space of cone geodesics $\mathcal{N}$
Our outcome is structured in the following sequence: (1) a general result for indefinite Finslerian manifolds with boundary $(M,L)$ showing the equivalence between local and infinitesimal (time, light or space) convexities for the boundary $\partial M$, (2) for any cone structure $(M,\mathcal{C})$ which is globally hyperbolic with timelike boundary, the equivalence among: (a) the boundary $\partial M$ is lightconvex, (b) the interior $\mathring{M}$ is causally simple and (c) the space of the co…

Optimal control of stochastic homogenous systems
Ying Hu, Xiaomin Shi, Zuo Quan Xu
https://arxiv.org/abs/2507.21576 https://arxiv.org/pdf/2507.21576…

Optimal control of stochastic homogenous systems
This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) framework to encompass nonlinear system dynamics and non-quadratic cost functionals. We demonstrate that, analogous to the LQ case, the optimal controls and value functions for these generalized problems are intimately connected to a novel class of highly nonlinear backward stochastic differential equations (BSDEs). We…

Witnessing PPT entanglement via rank analysis of (sub)matrices
Aabhas Gulati
https://arxiv.org/abs/2506.11346 https://arxiv.org/pdf/2…

Witnessing PPT entanglement via rank analysis of (sub)matrices
We develop a new method for entanglement detection in bipartite quantum states, using the violation of the rank-1 generated property of matrices. The positive-semidefinite matrices form a convex cone that has extremal elements of only rank-1. But convex conic subsets resulting from presence of linear constraints allow extremal elements of rank > 1. The problem of deciding when a matrix is rank-1 generated, i.e a sum of rank-1 PSD matrices, has been studied extensively in optimization theory. Th…

Plug-and-Play with 2.5D Artifact Reduction Prior for Fast and Accurate Industrial Computed Tomography Reconstruction
Haley Duba-Sullivan, Aniket Pramanik, Venkatakrishnan Singanallur, Amirkoushyar Ziabari
https://arxiv.org/abs/2506.14719

Plug-and-Play with 2.5D Artifact Reduction Prior for Fast and Accurate Industrial Computed Tomography Reconstruction
Cone-beam X-ray computed tomography (XCT) is an essential imaging technique for generating 3D reconstructions of internal structures, with applications ranging from medical to industrial imaging. Producing high-quality reconstructions typically requires many X-ray measurements; this process can be slow and expensive, especially for dense materials. Recent work incorporating artifact reduction priors within a plug-and-play (PnP) reconstruction framework has shown promising results in improving i…

On balanced HKT manifolds
Giovanni Gentili, Mehdi Lejmi
https://arxiv.org/abs/2506.15519 https://arxiv.org/pdf/2506.15519

On balanced HKT manifolds
We prove the openness of the balanced HKT cone within the cone of HKT structures on a compact hypercomplex manifold $(M,I,J,K)$. We also study the Lie algebra of hyperholomorphic vector fields of type (1,0) with respect to $I$, with particular emphasis on the case when there exists a compatible balanced HKT metric. These fields exhibit a strict interplay with the balanced HKT structure, for instance, we prove a harmonicity property for (1,0)-forms dual to hyperholomorphic vector fields. We also…

An order-theoretic characterization of JB-algebras
Mark Roelands, Samuel Tiersma
https://arxiv.org/abs/2507.09526 https://arxiv.org/p…

An order-theoretic characterization of JB-algebras
We give an order-theoretic characterization of the JB-algebras among the complete order unit spaces in terms of the existence of an order-anti-automorphism of the interior of the cone that is homogeneous of degree -1. More geometrically, we characterize JB-algebras as those complete order unit spaces for which the interior of the cone is a symmetric Banach--Finsler manifold under Thompson's metric. Furthermore, we show that two order unit spaces are isomorphic if there exists a gauge-reversing …

Symmetric and non-symmetric F-conjectures are equivalent
Maksym Fedorchuk, Anton Mellit
https://arxiv.org/abs/2507.12434 https://arxi…

Symmetric and non-symmetric F-conjectures are equivalent
The F-conjecture gives a conjectural description of the ample cone of the Deligne-Mumford moduli space $\overline{M}_{g,n}$. We prove that the $S_n$-symmetric and the non-symmetric F-conjectures are equivalent. We also prove the Strong F-conjecture for $\overline{M}_{0,8}$ (and give an alternative proof for $\overline{M}_{0,7})$. Finally, we derive, as a consequence, the F-conjecture for the moduli space of stable curves $\overline{M}_{g}$ up to genus $g\leq 44$.

Subspace decomposition in regularized least-squares: solution properties, restricted coercivity and beyond
Feng Xue, Hui Zhang
https://arxiv.org/abs/2507.20686 https://

Subspace decomposition in regularized least-squares: solution properties, restricted coercivity and beyond
We study the solution properties of regularized lease-squares problem. By the subspace decomposition technique, we develop expressions of the solution set in terms of conjugate function, from which various properties, including existence, compactness and uniqueness, can then be easily analyzed. An important difference of our approach from the existing works is that the existence and compactness are discussed separately. Many existing results under the notions of recession cone and sub…

Convergence in charmonium structure: light-front wave functions from basis light-front quantization and Dyson-Schwinger equations
Xianghui Cao, Yang Li, Chao Shi, James P. Vary, Qun Wang
https://arxiv.org/abs/2507.17330

Convergence in charmonium structure: light-front wave functions from basis light-front quantization and Dyson-Schwinger equations
We present a systematic comparison of charmonium light-front wave functions obtained through two complementary non-perturbative approaches: Basis Light-Front Quantization (BLFQ) and Dyson-Schwinger Equations (DSE). Key observables include the charge form factor, gravitational form factors, light-cone distribution amplitudes, decay constants, and two-photon transition form factors. Despite their distinct theoretical foundations and model parameters, the predictions from BLFQ and DSE exhibit rema…

Garding cones and positivity of curvature operators
Teng Huang, Jiaogen Zhang
https://arxiv.org/abs/2506.15374 https://arxiv.org/pdf/…

Garding cones and positivity of curvature operators
This article explores the relationship between Garding cones, demonstrating that the shift cone $\overlineΓ^{+}_{2}(α)$ is contained in $\overline{\mathcal{P}}_{m}$. By combining these results with the study of positivity properties of curvature operators, we establish several new connections between algebraic positivity conditions and the geometry of underlying Riemannian manifolds. Our main theorems reveal how shifted cone conditions on curvature operators-both standard and of the second ki…

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n 1}$
Ming Hsiao
https://arxiv.org/abs/2505.23157 https://arxiv.org/pdf/2505.23157

Rotationally symmetric Ricci Flow on $\mathbb{R}^{n+1}$
We establish a short-time existence theory for complete Ricci flows under scaling-invariant curvature bounds, starting from rotationally symmetric metrics on $\mathbb{R}^{n+1}$ that are noncollapsed at infinity, without assuming bounded curvature. As a consequence, we construct a complete Ricci flow solution coming out of a rotationally symmetric metric, which has a cone-like singularity at the origin and no minimal hypersphere centered at the origin, using an approximation method.

Ring-based ML calibration with in situ pileup correction for real-time jet triggers
Benjamin T. Carlson, Stephen T. Roche, Michael Hemmett, Tae Min Hong
https://arxiv.org/abs/2507.16686

Ring-based ML calibration with in situ pileup correction for real-time jet triggers
We present a machine learning (ML) method to calibrate hadronic jet energy in real-time trigger systems of the High-Luminosity Large Hadron Collider (HL-LHC) using an efficient implementation on field programmable gate arrays (FPGA). Regression is done to estimate the transverse energy of jet candidates, using concentric rings of electromagnetic and hadronic contributions in 0.1 x 0.1 towers around fixed-radius cone jet seeds, that accounts for in situ pileup correction. Classification separate…

Nonconvex Nonsmooth Multicomposite Optimization and Its Applications to Recurrent Neural Networks
Lingzi Jin, Xiao Wang, Xiaojun Chen
https://arxiv.org/abs/2506.17884

Nonconvex Nonsmooth Multicomposite Optimization and Its Applications to Recurrent Neural Networks
We consider a class of nonconvex nonsmooth multicomposite optimization problems where the objective function consists of a Tikhonov regularizer and a composition of multiple nonconvex nonsmooth component functions. Such optimization problems arise from tangible applications in machine learning and beyond. To define and compute its first-order and second-order d(irectional)-stationary points effectively, we first derive the closed-form expression of the tangent cone for the feasible region of it…

Self-expanders of positive genus
Guanhua Shao, Jiahua Zou
https://arxiv.org/abs/2507.19428 https://arxiv.org/pdf/2507.19428

Self-expanders of positive genus
For a general class of cones in $\mathbb{R}^3$, we construct self-expanders of positive genus asymptotic to these cones. As a result, we use these self-expanders to construct a mean curvature flow with genus strictly decreasing but not to zero at the first singular time. We also construct a sequence of self-expanders with unbounded genus which are asymptotic to the same rotationally symmetric cone.