Tootfinder

Understanding Self-Regulated Learning Behavior Among High and Low Dropout Risk Students During CS1: Combining Trace Logs, Dropout Prediction and Self-Reports
Denis Zhidkikh, Ville Isom\"ott\"onen, Toni Taipalus
https://arxiv.org/abs/2506.09178

Understanding Self-Regulated Learning Behavior Among High and Low Dropout Risk Students During CS1: Combining Trace Logs, Dropout Prediction and Self-Reports
The introductory programming course (CS1) at the university level is often perceived as particularly challenging, contributing to high dropout rates among Computer Science students. Identifying when and how students encounter difficulties in this course is critical for providing targeted support. This study explores the behavioral patterns of CS1 students at varying dropout risks using self-regulated learning (SRL) as the theoretical framework. Using learning analytics, we analyzed trace logs a…

https://www.bitsight.com/blog/bitsight-identifies-thousands-of-compromised-security-cameras
Bitsight Identifies Thousands of Security Cameras Openly Accessible on the Internet

40K Security Cameras Found Compromised Online | Bitsight
Bitsight TRACE has found over 40,000 exposed cameras streaming live on the internet. Learn where these cameras are, the risk, and how to protect yourself.

Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings
Sanjit Bhowmick, Kuntal Deka, Alexandre Fotue Tabue, Edgar Mart\'inez-Moro
https://arxiv.org/abs/2506.10381

Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings
This paper investigates the algebraic structure of additive complementary pairs of cyclic codes over a finite commutative ring. We demonstrate that for every additive complementary pair of additive cyclic codes, both constituent codes are free modules. Moreover, we present a necessary and sufficient condition for a pair of additive cyclic codes over a finite commutative ring to form an additive complementary pair. Finally, we construct a complementary pair of additive cyclic codes over a finite…

Detection of Ultra-Trace Heavy metals in Aerosols with pg^m3 Sensitivity Using Filament-Induced Fluorescence Spectroscopy
Yuezheng Wang, Lu Sun, Zhiwenqi An, Jiayun Xue, Zhixuan An, Nan Zhang, Lie Lin, Weiwei Liu
https://arxiv.org/abs/2506.09295

Detection of Ultra-Trace Heavy metals in Aerosols with pg^m3 Sensitivity Using Filament-Induced Fluorescence Spectroscopy
Heavy metal pollution, particularly in the form of airborne aerosols such as lead (Pb), cadmium (Cd), mercury (Hg), and cobalt (Co), poses serious health and environmental risks, necessitating highly sensitive remote detection techniques. In this study, Filament-Induced Fluorescence Spectroscopy (FIFS) was employed to detect ultra-trace concentrations of heavy metal aerosols with high sensitivity and stability. By systematically optimizing the balance between filament length and detection dista…

Pam Ayres
At last, we have a cure for all!
Ailments large and ailments small,
Good health is not beyond my reach,
If I inject myself with bleach.
Radiant, I’ll prance along,
Every trace of limescale gone,
With disinfectant as my friend,
Like him,
I’m clean around the bend.

Sharp estimates of quantum covering problems via a novel trace inequality
Hao-Chung Cheng, Li Gao, Christoph Hirche, Hao-Wei Huang, Po-Chieh Liu
https://arxiv.org/abs/2507.07961

Sharp estimates of quantum covering problems via a novel trace inequality
In this paper, we prove a novel trace inequality involving two operators. As applications, we sharpen the one-shot achievability bound on the relative entropy error in a wealth of quantum covering-type problems, such as soft covering, privacy amplification, convex splitting, quantum information decoupling, and quantum channel simulation by removing some dimension-dependent factors. Moreover, the established one-shot bounds extend to infinite-dimensional separable Hilbert spaces as well. The pro…

Large-scale quantization of trace I: Finite propagation operators
Matthias Ludewig, Guo Chuan Thiang
https://arxiv.org/abs/2506.10957 https://

Large-scale quantization of trace I: Finite propagation operators
Inspired by parallel developments in coarse geometry in mathematics and exact macroscopic quantization in physics, we present a family of general trace formulae which are universally quantized and depend only on large-scale geometric features of the input data. They generalize, to arbitrary dimensions, formulae found by Roe in his partitioned manifold index theorem, as well as the Kubo and Kitaev formulae for 2D Hall conductance used in physics.

Trace for the Du Bois complex
Hyunsuk Kim
https://arxiv.org/abs/2507.07350 https://arxiv.org/pdf/2507.07350

Trace for the Du Bois complex
We construct some version of the trace morphism between the Du Bois complexes, with applications towards the behavior of the local cohomological dimension and some Hodge theoretic aspects of singularities under finite morphisms.

A novel method to trace the dark matter density profile around supermassive black holes with AGN reverberation mapping
Mayank Sharma, Gonzalo Herrera, Nahum Arav, Shunsaku Horiuchi
https://arxiv.org/abs/2506.10122

A novel method to trace the dark matter density profile around supermassive black holes with AGN reverberation mapping
We propose a new method to determine the dark matter density profile in the vicinity of distant supermassive black holes (SMBH) using reverberation mapping measurements of active galactic nuclei (AGN). For some AGN, the mapping of multiple emission lines allows us to measure the enclosed mass within different radii from the central SMBH, which allows us to infer or constrain the dark matter density profile on sub-pc scales. We find that for five out of fourteen AGN in our identified sample, the…

Stochastic Alignments: Matching an Observed Trace to Stochastic Process Models
Tian Li, Artem Polyvyanyy, Sander J. J. Leemans
https://arxiv.org/abs/2507.06472

Stochastic Alignments: Matching an Observed Trace to Stochastic Process Models
Process mining leverages event data extracted from IT systems to generate insights into the business processes of organizations. Such insights benefit from explicitly considering the frequency of behavior in business processes, which is captured by stochastic process models. Given an observed trace and a stochastic process model, conventional alignment-based conformance checking techniques face a fundamental limitation: They prioritize matching the trace to a model path with minimal deviations,…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture
Nathan Berkovits (ICTP-SAIFR/IFT-UNESP, Sao Paulo)
https://arxiv.org/abs/2506.10907

Topological A-Model for $AdS_5\times S^5$ Superstring and the Maldacena Conjecture
A topological A-model constructed from $CP^{3|4}$ supertwistor variables is proposed for the $AdS_5\times S^5$ superstring. At zero $AdS$ radius, free N=4 d=4 super-Yang-Mills amplitudes are reproduced by topological amplitudes of the corresponding gauged linear sigma model where the closed superstring vertex operator for a trace of $k$ super-Yang-Mills fields is described by a boundary state with U(1) worldsheet instanton number $k$. After turning on a Fayet-Iliopoulis term in the sigma m…

Replaced article(s) found for astro-ph.HE. https://arxiv.org/list/astro-ph.HE/new/
[1/1]:
Unraveling Trace Anomaly of Supradense Matter via Neutron Star Compactness Scaling

React-tRace: A Semantics for Understanding React Hooks
Jay Lee, Joongwon Ahn, Kwangkeun Yi
https://arxiv.org/abs/2507.05234 https://a…

React-tRace: A Semantics for Understanding React Hooks
React has become the most widely used web front-end framework, enabling the creation of user interfaces in a declarative and compositional manner. Hooks are a set of APIs that manage side effects in functional components in React. However, their semantics are often seen as opaque to developers, leading to UI bugs. In this paper, we formalize the semantics of the essence of React Hooks we name React-tRace, providing a framework that clarifies their behavior. We demonstrate that our model capture…

Studies on the $\pi^ p$ elastic scattering via the von Neumann entropy
Seung-il Nam
https://arxiv.org/abs/2506.10672 https://arxiv.o…

Studies on the $π^+ p$ elastic scattering via the von Neumann entropy
We study the $π^+ p$ elastic scattering process using an effective Lagrangian approach that incorporates the $s$-, $u$-, and $t$-channel amplitudes, including $Δ^{++,0}(1232)$, neutron, and $ρ^0$ contributions. By constructing the spin-density matrices (SDMs) from helicity amplitudes, we derive the von Neumann (entanglement) entropy associated with the spin degrees of freedom of the initial and final state particles. We compute the entropy by performing a partial trace over the spin subsyste…

MINDS: Detection of an inner gas disk caused by evaporating bodies around HD 172555
M. Samland, T. Henning, A. Caratti o Garatti, T. Giannini, J. Bouwman, B. Tabone, A. M. Arabhavi, G. Olofsson, M. G\"udel, N. Pawellek, I. Kamp, L. B. F. M. Waters, D. Semenov, E. F. van Dishoeck, O. Absil, D. Barrado, A. Boccaletti, V. Christiaens, D. Gasman, S. L. Grant, H. Jang, T. Kaeufer, J. Kanwar, G. Perotti, K. Schwarz, M. Temmink

MINDS: Detection of an inner gas disk caused by evaporating bodies around HD 172555
Mechanisms such as collisions of rocky bodies or cometary activity give rise to dusty debris disks. Debris disks trace the leftover building blocks of planets, and thus also planetary composition. HD 172555, a stellar twin of beta Pic, hosts a debris disk thought to have resulted from a giant collision. It is known for its extreme mid-infrared silica dust feature, indicating a warm population of silica-rich grains in the asteroid belt (~5 au), cold CO observed by ALMA, and small bodies evaporat…

Anybody have a good source for premade 20 pin 1.27mm ARM Cortex debug/trace cables of various lengths?
Some of my test setups would be a lot neater if I could move the debugger slightly further from the DUT (even if I had to reduce the TCK/SWCLK frequency due to crosstalk or something)

Finitary conditions for graph products of monoids
Dandan Yang, Victoria Gould
https://arxiv.org/abs/2506.10603 https://arxiv.org/pdf/…

Finitary conditions for graph products of monoids
Graph products of monoids provide a common framework for free products and direct products. Trace monoids are graph products of finitely generated free monoids. We investigate the interaction of certain finitary conditions with graph products. Specifically, we examine the conditions of being weakly left noetherian (that is, every left ideal is finitely generated) and weakly left coherent (that is, every finitely generated left ideal has a finite presentation) and the related conditions of the a…

A porous medium equation with rough weights: sharp Widder theory
Gabriele Grillo, Matteo Muratori, Troy Petitt, Nikita Simonov
https://arxiv.org/abs/2506.08159

A porous medium equation with rough weights: sharp Widder theory
We establish an optimal \emph{Widder theory} for a weighted porous medium equation with rough and inhomogeneous density that may be singular at a point and tends to zero at spatial infinity. Specifically, for this equation, we identify a class $X$ of initial measure data that give rise to very weak solutions, we show that non-negative very weak solutions necessarily admit an initial trace in $X$ at time $t=0$, and we prove that any two non-negative solutions having the same initial trace are eq…

Kernel Trace Distance: Quantum Statistical Metric between Measures through RKHS Density Operators
Arturo Castellanos, Anna Korba, Pavlo Mozharovskyi, Hicham Janati
https://arxiv.org/abs/2507.06055

Kernel Trace Distance: Quantum Statistical Metric between Measures through RKHS Density Operators
Distances between probability distributions are a key component of many statistical machine learning tasks, from two-sample testing to generative modeling, among others. We introduce a novel distance between measures that compares them through a Schatten norm of their kernel covariance operators. We show that this new distance is an integral probability metric that can be framed between a Maximum Mean Discrepancy (MMD) and a Wasserstein distance. In particular, we show that it avoids some pitfa…

Geometric Jensen-Shannon Divergence Between Gaussian Measures On Hilbert Space
Minh Ha Quang, Frank Nielsen
https://arxiv.org/abs/2506.10494 https://

Geometric Jensen-Shannon Divergence Between Gaussian Measures On Hilbert Space
This work studies the Geometric Jensen-Shannon divergence, based on the notion of geometric mean of probability measures, in the setting of Gaussian measures on an infinite-dimensional Hilbert space. On the set of all Gaussian measures equivalent to a fixed one, we present a closed form expression for this divergence that directly generalizes the finite-dimensional version. Using the notion of Log-Determinant divergences between positive definite unitized trace class operators, we then define a…

On Araki-Type Trace Inequalities
Po-Chieh Liu, Hao-Chung Cheng
https://arxiv.org/abs/2507.05242 https://arxiv.org/pdf/2507.05242

On Araki-Type Trace Inequalities
In this paper, we prove a trace inequality $\text{Tr}[ f(A) A^s B^s ] \leq \text{Tr}[ f(A) (A^{1/2} B A^{1/2} )^s ]$ for any positive and monotone increasing function $f$, $s\in[0,1]$, and positive semi-definite matrices $A$ and $B$. On the other hand, for $s\in[0,1]$ such that the map $x\mapsto x^s g(x)$ is positive and decreasing, then $ \text{Tr}[ g(A) (A^{1/2} B A^{1/2} )^s ] \leq \text{Tr}[ g(A) A^s B^s ]$.

zkSDK: Streamlining zero-knowledge proof development through automated trace-driven ZK-backend selection
William Law
https://arxiv.org/abs/2507.05294 https…

zkSDK: Streamlining zero-knowledge proof development through automated trace-driven ZK-backend selection
The rapid advancement of creating Zero-Knowledge (ZK) programs has led to the development of numerous tools designed to support developers. Popular options include being able to write in general-purpose programming languages like Rust from Risc Zero. Other languages exist like Circom, Lib-snark, and Cairo. However, developers entering the ZK space are faced with many different ZK backends to choose from, leading to a steep learning curve and a fragmented developer experience across different pl…

hansom swag fellowes

🇺🇦 #NowPlaying on KEXP's #VarietyMix
The Black Angels:
🎵 Without a Trace
#TheBlackAngels
https://blackangels.bandcamp.com/track/without-a-trace
https://open.spotify.com/track/08XTPu3NR0ICMqFg0OGjrQ

On Murmurations and Trace Formulas
David Lowry-Duda
https://arxiv.org/abs/2506.01640 https://arxiv.org/pdf/2506.01640

On Murmurations and Trace Formulas
In recent work with Bober, Booker, Lee, Seymour-Howell, and Zubrilina, we proved murmuration behavior for Maass forms in the eigenvalue aspect and for modular forms in the weight aspect. Both used an approach based on the Selberg trace formula. But different trace formulas, including those due to Kuznetsov or Petersson, offer different variations. We examine murmurations from the perspective of different trace formulas and outline several families of $L$-functions where one can likely prove add…

The number of maximal matchings in polygon rings
Chengqi Li, Jinhui Yin, Lingjuan Shi
https://arxiv.org/abs/2506.08687 https://arxiv.…

The number of maximal matchings in polygon rings
A matching of graph $G$ is maximal if it cannot be expanded by adding any edge to create a larger matching. In this paper, for a hexagonal ring $H$ with $n$ hexagons, we show that the number of maximal matchings of $H$ equals to the trace of the product of $n$ matrices, each of which is $S$, $L$, or $R$ according to the type of the connection mode of $H$. Finally, we extend this conclusion to arbitrary polygon rings and provide an algorithm to determine the transition matrices of polygon chains…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): II. Dust and Gas Disk Properties in the Ophiuchus Star-forming Region
Dary A. Ruiz-Rodriguez, Camilo Gonzalez-Ruilova, Lucas A. Cieza, Ke Zhang, Leon Trapman, Anibal Sierra, Paola Pinilla, Ilaria Pascucci, Laura M. Perez, Dingshan Deng, Carolina Agurto-Gangas, John Carpenter, Beno\^it Tabone, Giovanni P. Rosotti, Rossella Anania, James Miley, Kamber Schwarz, Aleksandra Kuznetsova, Miguel Vioque, Nicolas Kurtovic

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): II. Dust and Gas Disk Properties in the Ophiuchus Star-forming Region
The ALMA survey of Gas Evolution in PROtoplanetary disks (AGE-PRO) Large Program aims to trace the evolution of gas disk mass and size throughout the lifetime of protoplanetary disks. This paper presents Band-6 ALMA observations of 10 embedded (Class I and Flat Spectrum) sources in the Ophiuchus molecular cloud, with spectral types ranging from M3 to K6 stars, which serve as the evolutionary starting point in the AGE-PRO sample. While we find 4 nearly edge on disks (>70 deg.), and 3 highly incl…

Kernels of trace operators via fine continuity
Michael Hinz, Simon N. Chandler-Wilde, David P. Hewett
https://arxiv.org/abs/2507.04536 https://

Kernels of trace operators via fine continuity
We study traces of elements of fractional Sobolev spaces $H_p^α(\mathbb{R}^n)$ on closed subsets $Γ$ of $\mathbb{R}^n$, given as the supports of suitable measures $μ$. We prove that if these measures satisfy localized upper density conditions, then quasi continuous representatives vanish quasi everywhere on $Γ$ if and only if they vanish $μ$-almost everywhere on $Γ$. We use this result to characterize the kernel of the trace operator mapping from $H_p^α(\mathbb{R}^n)$ into the space of $…

This https://arxiv.org/abs/2309.14542 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Trace Maps on Rigid Stein Spaces
We provide a relative version of the trace map from the work of Beyer, which can be associated to any finite tale morphism $X \to Y$ of smooth rigid Stein spaces and which then relates the Serre duality on $X$ with the Serre duality on $Y$. Furthermore, we consider the behaviour of any rigid Stein space under (completed) base change to any complete extension field and deduce a commutative diagram relating Serre duality over the base field with the Serre duality over the extension field.

TRACE: Contrastive learning for multi-trial time-series data in neuroscience
Lisa Schmors, Dominic Gonschorek, Jan Niklas B\"ohm, Yongrong Qiu, Na Zhou, Dmitry Kobak, Andreas Tolias, Fabian Sinz, Jacob Reimer, Katrin Franke, Sebastian Damrich, Philipp Berens
https://arxiv.org/abs/2506.04906

TRACE: Contrastive learning for multi-trial time-series data in neuroscience
Modern neural recording techniques such as two-photon imaging allow to acquire vast time-series datasets with responses of hundreds or thousands of neurons. Contrastive learning is a powerful self-supervised framework for learning representations of complex datasets. Existing applications for neural time series rely on generic data augmentations and do not exploit the multi-trial data structure inherent in many neural datasets. Here we present TRACE, a new contrastive learning framework that av…

Properties of UTxO Ledgers and Programs Implemented on Them
Polina Vinogradova (Input Output Global), Alexey Sorokin (Input Output Global)
https://arxiv.org/abs/2506.05832

Properties of UTxO Ledgers and Programs Implemented on Them
Trace-based properties are the gold standard for program behaviour analysis. One of the domains of application of this type of analysis is cryptocurrency ledgers, both for the purpose of analyzing the behaviour of the ledger itself, and any user-defined programs called by it, known as smart contracts. The (extended) UTxO ledger model is a kind of ledger model where all smart contract code is stateless, and additional work must be done to model stateful programs. We formalize the application of …

This https://arxiv.org/abs/2311.13633 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Open AdS/CFT via a Double Trace Deformation
A concrete model of extracting the physics from the bulk of a gravitational universe is important to the study of quantum gravity and its possible relationship with experiments. Such a model can be constructed in the AdS/CFT correspondence by gluing a bath on the asymptotic boundary of the bulk anti-de Sitter (AdS) spacetime. This bath models a laboratory and is described by a quantum field theory. In the dual conformal field theory (CFT) description this coupling is achieved by a double-trace …

This https://arxiv.org/abs/2409.15104 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDC_…

PecSched: Preemptive and Efficient Cluster Scheduling for LLM Inference
The scaling of transformer-based Large Language Models (LLMs) has significantly expanded their context lengths, enabling applications where inputs exceed 100K tokens. Our analysis of a recent Azure LLM inference trace reveals a highly skewed long-tail distribution of input lengths, with approximately 80% of inputs shorter than 2K tokens. Long inputs constitute only a small fraction. Existing cluster-level LLM scheduling strategies, including First-In-First-Out (FIFO), reservation-based, and pri…

Canonical traces of fiber products and their applications
Shinya Kumashiro, Sora Miyashita
https://arxiv.org/abs/2506.04899 https://a…

Canonical traces of fiber products and their applications
We study the canonical trace of the fiber product of Noetherian rings. Furthermore, we extend results on the class of Cohen-Macaulay rings called Teter type to Noetherian rings. As an application of our study on canonical traces and Noetherian rings of Teter type, we compute the canonical trace of the Stanley-Reisner ring arising from a non-connected simplicial complex. In particular, we provide a characterization of Stanley-Reisner rings for which the canonical trace contains the graded maxima…

Khintchine inequalities, trace monoids and Tur\'an-type problems
Patrick Oliveira Santos, Raghavendra Tripathi, Pierre Youssef
https://arxiv.org/abs/2506.02517

Khintchine inequalities, trace monoids and Turán-type problems
We prove scalar and operator-valued Khintchine inequalities for mixtures of free and tensor-independent semicircle variables, interpolating between classical and free Khintchine-type inequalities. Specifically, we characterize the norm of sums of $G$-independent semicircle variables in terms of the spectral radius of the Cayley graph associated with the trace monoid determined by the graph $G$. Our approach relies on a precise correspondence between closed paths in trace monoids and the norms o…

Toward Cyclic A.I. Modelling of Self-Regulated Learning: A Case Study with E-Learning Trace Data
Andrew Schwabe, \"Ozg\"ur Akg\"un, Ella Haig
https://arxiv.org/abs/2507.02913

Toward Cyclic A.I. Modelling of Self-Regulated Learning: A Case Study with E-Learning Trace Data
Many e-learning platforms assert their ability or potential to improve students' self-regulated learning (SRL), however the cyclical and undirected nature of SRL theoretical models represent significant challenges for representation within contemporary machine learning frameworks. We apply SRL-informed features to trace data in order to advance modelling of students' SRL activities, to improve predictability and explainability regarding the causal effects of learning in an eLearning environment…

Brockett cost function for symplectic eigenvalues
Nguyen Thanh Son
https://arxiv.org/abs/2506.07560 https://arxiv.org/pdf/2506.07560

Brockett cost function for symplectic eigenvalues
The symplectic eigenvalues and corresponding eigenvectors of symmetric positive-definite matrices in the sense of Williamson's theorem can be computed via minimization of a trace cost function under the symplecticity constraint. The optimal solution to this problem only offers a symplectic basis for a symplectic eigenspace corresponding to the sought symplectic eigenvalues. In this paper, we introduce a Brockett cost function and investigate the connection between its properties and the symplec…

Determining the methanol deuteration in the disk around V883 Orionis with laboratory measured spectroscopy
Shaoshan Zeng, Jae-Hong Jeong, Takahiro Oyama, Jeong-Eun Lee, Yao-Lun Yang, Nami Sakai
https://arxiv.org/abs/2506.07794

Determining the methanol deuteration in the disk around V883 Orionis with laboratory measured spectroscopy
Deuterium fractionation, as studied through mono-deuterated methanol, is frequently used as a diagnostic tool to trace the physical conditions and chemical evolution of interstellar sources. This study investigates methanol deuteration in the disk around V883 Ori, utilising recent laboratory spectroscopic data for CH$_2$DOH and CH$_3$OD along with ALMA observations. The derived column densities for CH$_2$DOH and CH$_3$OD are (5.14$\pm$0.08) $\times $10$^{16}$ cm$^{-2}$ and (4.22$\pm$0.06) $\tim…

Evolution of Cluster Alignments as Evidence of Large-scale Structure Formation in the Universe: #GalaxyClusters trace invisible highways of dark matter stretching up to a billion light years across the universe; even more remarkable, the clusters point the way to their neighbors.

Well that was a couple hours well spent. Got the entire FMC bus fully fanned out with mostly-reasonable trace spacing, end to end 50 ohm routing except for some neck-down in the 0.65mm BGA field, and no mid-span vias (there had previously been a huge number of them).

I recently bought a fan. You know, because it's hot.
I really wanted something decent, so I spent 3 hours researching the market, tracking down whitelabel products and their resellers, checking brand websites and "data sheets". I queried trade registers to find out from where and for how long they have been operating and which brands belong to them. I also used the internet archive to trace supplier changes over time.
This is completely normal, right?
I call it…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): I. Program Overview and Summary of First Results
Ke Zhang, Laura M. P\'erez, Ilaria Pascucci, Paola Pinilla, Lucas A. Cieza, John Carpenter, Leon Trapman, Dingshan Deng, Carolina Agurto-Gangas, Anibal Sierra, Nicol\'as T. Kurtovic, Dary A. Ru\'iz-Rodr\'iguez, Miguel Vioque, James Miley, Beno\^it Tabone, Camilo Gonz\'alez-Ruilova, Rossella Anania, Giovanni P. Rosotti, Estephani TorresVillanueva, Mich…

The ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO): I. Program Overview and Summary of First Results
We present the ALMA Survey of Gas Evolution of PROtoplanetary Disks (AGE-PRO), a Large Program of the Atacama Large Millimeter/submillimeter Array (ALMA). AGE-PRO aims to systematically trace the evolution of gas disk mass and size throughout the lifetime of protoplanetary disks. It uses a carefully selected sample of 30 disks around M3-K6 stars in three nearby star-forming regions: Ophiuchus (0.5-1 Myr), Lupus (1-3 Myr), and Upper Sco (2-6 Myr). Assuming the three regions had similar initial c…

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chru\'sci\'nski, Gen Kimura, Paolo Muratore-Ginanneschi
https://arxiv.org/abs/2506.02145

Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity is necessary for this inequality to hold in general. Moreover, we use this to infer a similar bound for generators of one-parameter semigroups of 2-positive trace-preserving maps. With this approach we generalize known results for completely positive trace-preserving dynamics while providing a significantly simpler pro…

When There Is No Decoder: Removing Watermarks from Stable Diffusion Models in a No-box Setting
Xiaodong Wu, Tianyi Tang, Xiangman Li, Jianbing Ni, Yong Yu
https://arxiv.org/abs/2507.03646

When There Is No Decoder: Removing Watermarks from Stable Diffusion Models in a No-box Setting
Watermarking has emerged as a promising solution to counter harmful or deceptive AI-generated content by embedding hidden identifiers that trace content origins. However, the robustness of current watermarking techniques is still largely unexplored, raising critical questions about their effectiveness against adversarial attacks. To address this gap, we examine the robustness of model-specific watermarking, where watermark embedding is integrated with text-to-image generation in models like lat…

Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
N. Myrzakulov, S. H. Shekh, S. R. Bhoyar, Anirudh Pradhan
https://arxiv.org/abs/2507.05298

Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation
In this study, we explore the cosmological implications of a modified gravity theory characterized by the function \( f(R, Σ, T) \), where \( R \) is the Ricci scalar, \( Σ\) represents a geometric deformation term, and \( T \) denotes the trace of the energy-momentum tensor. The model is reconstructed under the framework of three fundamental energy conditions: Null Energy Condition (NEC), Dominant Energy Condition (DEC), and Strong Energy Condition (SEC). We derive the corresponding Hubble p…

RPRA-ADD: Forgery Trace Enhancement-Driven Audio Deepfake Detection
Ruibo Fu, Xiaopeng Wang, Zhengqi Wen, Jianhua Tao, Yuankun Xie, Zhiyong Wang, Chunyu Qiang, Xuefei Liu, Cunhang Fan, Chenxing Li, Guanjun Li
https://arxiv.org/abs/2506.00375

RPRA-ADD: Forgery Trace Enhancement-Driven Audio Deepfake Detection
Existing methods for deepfake audio detection have demonstrated some effectiveness. However, they still face challenges in generalizing to new forgery techniques and evolving attack patterns. This limitation mainly arises because the models rely heavily on the distribution of the training data and fail to learn a decision boundary that captures the essential characteristics of forgeries. Additionally, relying solely on a classification loss makes it difficult to capture the intrinsic difference…

This https://arxiv.org/abs/2501.15104 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csPL_…

Two-sorted algebraic decompositions of Brookes's shared-state denotational semantics
We use a two sorted equational theory of algebraic effects to model concurrent shared state with preemptive interleaving, recovering Brookes's seminal 1996 trace-based model precisely. The decomposition allows us to analyse Brookes's model algebraically in terms of separate but interacting components. The multiple sorts partition terms into layers. We use two sorts: a "hold" sort for layers that disallow interleaving of environment memory accesses, analogous to holding a global lock on the memo…

Lower bounds for trace estimation via Block Krylov and other methods
Shi Jie Yu
https://arxiv.org/abs/2506.22701 https://arxiv.org/pd…

Lower bounds for trace estimation via Block Krylov and other methods
This paper studies theoretical lower bounds for estimating the trace of a matrix function, $\text{tr}(f(A))$, focusing on methods that use Hutchinson's method along with Block Krylov techniques. These methods work by approximating matrix-vector products like $f(A)V$ using a Block Krylov subspace. This is closely related to approximating functions with polynomials. We derive theoretical upper bounds on how many Krylov steps are needed for functions such as $A^{-1/2}$ and $A^{-1}$ by analyzing th…

Observations of Carbon Radio Recombination Lines with the NenuFAR telescope. I. Cassiopeia A and Cygnus A
Lucie Cros, Antoine Gusdorf, Philippe Salom\'e, Sergiy Stepkin, Philippe Zarka, Pedro Salas, Alan Loh, Pierre Lesaffre, Jonathan Freundlich, Marta Alves, Fran\c{c}ois Boulanger, Andrea Bracco, St\'ephane Corbel, Maryvonne Gerin, Javier Goicoechea, Isabelle Grenier, Jean-Mathias Grie{\ss}meier, Martin Houde, Oleksandr Konovalenko, Antoine Marchal, Alexandre Marcowith, Floren…

Observations of Carbon Radio Recombination Lines with the NenuFAR telescope. I. Cassiopeia A and Cygnus A
Carbon Radio Recombination Lines (CRRLs) at decametre wavelengths trace the diffuse phase of the interstellar medium (ISM) of the Galaxy. Their observation allows to measure physical parameters of this phase. We observed CRRLs with the recently commissioned New Extension in Nançay Upgrading LOFAR (NenuFAR) telescope towards two of the brightest sources at low-frequency (10-85 MHz): Cassiopeia A and Cygnus A (hereafter Cas A and Cyg A respectively), to measure the density n_e and temperature T_…

Optimization-Free Universal Watermark Forgery with Regenerative Diffusion Models
Chaoyi Zhu, Zaitang Li, Renyi Yang, Robert Birke, Pin-Yu Chen, Tsung-Yi Ho, Lydia Y. Chen
https://arxiv.org/abs/2506.06018

Optimization-Free Universal Watermark Forgery with Regenerative Diffusion Models
Watermarking becomes one of the pivotal solutions to trace and verify the origin of synthetic images generated by artificial intelligence models, but it is not free of risks. Recent studies demonstrate the capability to forge watermarks from a target image onto cover images via adversarial optimization without knowledge of the target generative model and watermark schemes. In this paper, we uncover a greater risk of an optimization-free and universal watermark forgery that harnesses existing re…

Ciudad de Tar – Liminal
@…
https://www.clongclongmoo.org/2025/05/01/ciudad-de-tar-liminal/

Untangling Selberg from the Wilson spool: 1-loop determinants and trace formulae in (A)dS$_{3}$
Samuel Haupfear, Victoria Martin, Andrew Svesko, Claire Zukowski
https://arxiv.org/abs/2507.05358

Untangling Selberg from the Wilson spool: 1-loop determinants and trace formulae in (A)dS$_{3}$
Leading quantum effects in perturbative quantum gravity are captured by functional determinants of kinetic operators. We study such 1-loop determinants in three-dimensional Euclidean (anti-) de Sitter gravity evaluated using two seemingly disparate tools, the Selberg zeta function and the Wilson spool. For the Euclidean BTZ black hole, we demonstrate the Wilson spool for massive bosons of arbitrary spin directly equates to a representation-theoretic version of the Selberg zeta function. In the …

Global invertibility of Sobolev mappings with prescribed homeomorphic boundary values
Sabrina Traver (Syracuse University)
https://arxiv.org/abs/2507.07206

Global invertibility of Sobolev mappings with prescribed homeomorphic boundary values
Let $X, Y \subset \mathbb{R}^n$ be Lipschitz domains, and suppose there is a homeomorphism $φ\colon \overline{X} \to \overline{Y}$. We consider the class of Sobolev mappings $f \in W^{1,n} (X, \mathbb{R}^n)$ with a strictly positive Jacobian determinant almost everywhere, whose Sobolev trace coincides with $φ$ on $\partial X$. We prove that every mapping in this class extends continuously to $\overline{X}$ and is a monotone (continuous) surjection from $\overline{X}$ onto $\overline{Y}$ in th…

Entanglement, Trace Anomaly and Confinement in QCD
Kiminad A. Mamo
https://arxiv.org/abs/2507.00176 https://arxiv.org/pdf/2507.00176

Entanglement, Trace Anomaly and Confinement in QCD
We formulate confinement in QCD as an entropic surface phenomenon. Quark and gluon quantum information is localized on a two-dimensional transverse sheet of radius $R_{\mathrm{EE}}$ where the von Neumann entropy of the vacuum attains its maximum. Lattice QCD determinations of scalar (trace) gravitational form factors fix both $R_{\mathrm{EE}}$ and the transverse trace-anomaly density $ρ_h(R_{\mathrm{EE}})$ with percent-level accuracy, enabling a parameter-free mechanical entropy $S_{\mathrm{EE…

Monitorability for the Modal mu-Calculus over Systems with Data: From Practice to Theory
Luca Aceto, Antonis Achilleos, Duncan Paul Attard, L\'eo Exibard, Adrian Francalanza, Anna Ing\'olfsd\'ottir, Karoliina Lehtinen
https://arxiv.org/abs/2506.06172

Monitorability for the Modal mu-Calculus over Systems with Data: From Practice to Theory
Runtime verification, also known as runtime monitoring, consists of checking whether a system satisfies a given specification by observing the trace it produces during its execution. It is used as a lightweight verification technique to complement or substitute costlier methods such as model-checking. In the regular setting, Hennessy-Milner logic with recursion, a variant of the modal mu-calculus, provides a versatile formalism for expressing linear- and branching-time specifications of the c…

Nanoparticles and Quantum Dots as Emerging Optical Sensing Platforms for $\mathrm{Ni}^{2 }$ Detection: Recent Approaches and Perspectives
Sudhanshu Naithani, Heena, Pooja Sharma, Samar Layek, Franck Thetiot, Tapas Goswami, Sushil Kumar
https://arxiv.org/abs/2507.04944

Nanoparticles and Quantum Dots as Emerging Optical Sensing Platforms for $\mathrm{Ni}^{2+}$ Detection: Recent Approaches and Perspectives
Over the preceding years, nickel (Ni) and its compounds have been increasingly employed in various aspects of human social life, metallurgical/industrial manufactures, healthcare, and chemical processes. Although Ni is considered an essential trace element in biological systems, excessive intake or metabolic deficiency of \(\mathrm{Ni}^{2+}\) ions may cause detrimental health effects to living organisms. Therefore, a facile and accurate detection of \(\mathrm{Ni}^{2+}\), especially in environme…

Trace Formulas in Noncommutative Geometry
Eva-Maria Hekkelman
https://arxiv.org/abs/2506.21950 https://arxiv.org/pdf/2506.21950

Trace Formulas in Noncommutative Geometry
Trace formulas appear in many forms in noncommutative geometry (NCG). In the first part of this thesis, we obtain results for asymptotic expansions of trace formulas like heat trace expansions by adapting the theory of Multiple Operator Integration to NCG. More broadly, this construction provides a natural language for operator integrals in NCG, which systematises and simplifies operator integral arguments throughout the literature. Towards this end, we construct a functional calculus for abstr…

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…

This https://arxiv.org/abs/2506.03074 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

GL-LowPopArt: A Nearly Instance-Wise Minimax Estimator for Generalized Low-Rank Trace Regression
We present `GL-LowPopArt`, a novel Catoni-style estimator for generalized low-rank trace regression. Building on `LowPopArt` (Jang et al., 2024), it employs a two-stage approach: nuclear norm regularization followed by matrix Catoni estimation. We establish state-of-the-art estimation error bounds, surpassing existing guarantees (Fan et al., 2019; Kang et al., 2022), and reveal a novel experimental design objective, $\mathrm{GL}(π)$. The key technical challenge is controlling bias from the non…

Instance-Optimal Quantum State Certification with Entangled Measurements
Ryan O'Donnell, Chirag Wadhwa
https://arxiv.org/abs/2507.06010 https://…

Instance-Optimal Quantum State Certification with Entangled Measurements
We consider the task of quantum state certification: given a description of a hypothesis state $σ$ and multiple copies of an unknown state $ρ$, a tester aims to determine whether the two states are equal or $ε$-far in trace distance. It is known that $Θ(d/ε^2)$ copies of $ρ$ are necessary and sufficient for this task, assuming the tester can make entangled measurements over all copies [CHW07,OW15,BOW19]. However, these bounds are for a worst-case $σ$, and it is not known what the optimal…

Replaced article(s) found for math.KT. https://arxiv.org/list/math.KT/new
[1/1]:
- Large-scale quantization of trace I: Finite propagation operators
Matthias Ludewig, Guo Chuan Thiang

Den fŸlelse når man er fan af en ny podcast - og så selv bliver inviteret på den! 🤓🎉
https://podcasts.apple.com/dk/podcast/writing-wrongs/id1797795962?l=da

Writing Wrongs
True crime · Månedligt · Every sentence tells a story, every word leaves a trace. Writing Wrongs, from the Aston Institute for Forensic Linguistics, explores historic and contemporary forensic linguistic cases. Hosts Profes...

This https://arxiv.org/abs/2303.08082 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Quantum traces for $SL_n$-skein algebras
We establish the existence of several quantum trace maps. The simplest one is an algebra map between two quantizations of the algebra of regular functions on the $SL_n$-character variety of a surface $\mathfrak{S}$ equipped with an ideal triangulation $λ$. The first is the (stated) $SL_n$-skein algebra $\mathscr{S}(\mathfrak{S})$. The second $\overline{\mathcal{X}}(\mathfrak{S},λ)$ is the Fock and Goncharov's quantization of their $X$-moduli space. The quantum trace is an algebra homomorphism…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

Empirical Calibration of Na I D and Other Absorption Lines as Tracers of High-Redshift Neutral Outflows
Lorenzo Moretti, Sirio Belli, Gwen C. Rudie, Andrew B. Newman, Minjung Park, Amir H. Khoram, Nima Chartab, Darko Donevski
https://arxiv.org/abs/2507.07160

Empirical Calibration of Na I D and Other Absorption Lines as Tracers of High-Redshift Neutral Outflows
Recent JWST observations of massive galaxies at z > 2 have detected blueshifted absorption in Na I D and other resonant absorption lines, indicative of strong gas outflows in the neutral phase. However, the measured mass outflow rates are highly uncertain because JWST observations can only probe the column density of trace elements such as sodium, while most of the gas is in the form of hydrogen. The conversion between the column density of sodium and that of hydrogen is based on observations o…

Tug-of-war between idiom's figurative and literal meanings in LLMs
Soyoung Oh, Xinting Huang, Mathis Pink, Michael Hahn, Vera Demberg
https://arxiv.org/abs/2506.01723

Tug-of-war between idiom's figurative and literal meanings in LLMs
Idioms present a unique challenge for language models due to their non-compositional figurative meanings, which often strongly diverge from the idiom's literal interpretation. This duality requires a model to learn representing and deciding between the two meanings to interpret an idiom in a figurative sense, or literally. In this paper, we employ tools from mechanistic interpretability to trace how a large pretrained causal transformer (LLama3.2-1B-base) deals with this ambiguity. We localize …

This https://arxiv.org/abs/2502.15141 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Machine learning meets $\mathfrak{su}(n)$ Lie algebra: Enhancing quantum dynamics learning with exact trace conservation
Machine learning (ML) has emerged as a promising tool for simulating quantum dissipative dynamics. However, existing methods often struggle to enforce key physical constraints, such as trace conservation, when modeling reduced density matrices (RDMs). While Physics-Informed Neural Networks (PINN) aim to address these challenges, they frequently fail to achieve full physical consistency. In this work, we introduce a novel approach that leverages the $\mathfrak{su}(n)$ Lie algebra to represent RD…

This https://arxiv.org/abs/2410.04522 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Detection prospects for the GW background of Galactic (sub)solar mass primordial black holes
In multi-component dark matter models, a fraction $f_\text{pbh}$ of the dark matter could be in the form of primordial black holes (PBHs) with (sub)solar masses. Some would have formed binaries that presently trace the Milky Way halo of particle dark matter. We explore the gravitational wave (GW) signal produced by such a hypothetical population of Galactic PBH binaries and assess its detectability by the LISA experiment. For this purpose, we model the formation and evolution of early-type PBH …

How do I make sure there's no trace of Gemini on my phone? Do i need to switch do a different ROM?

This https://arxiv.org/abs/2110.15035 has been replaced.
link: https://scholar.google.com/scholar?q=a

Varieties with ample Frobenius-trace kernel
In the search of a projective analog of Kunz's theorem and a Frobenius-theoretic analog of Mori--Hartshorne's theorem, we investigate the positivity of the kernel of the Frobenius trace (equivalently, the negativity of the cokernel of the Frobenius endomorphism) on a smooth projective variety over an algebraically closed field of positive characteristic. For instance, such kernel is ample for projective spaces. Conversely, we show that for curves, surfaces, and threefolds the Frobenius trace ke…

The cohomology of certain intermediate strata of Kottwitz varieties
Yachen Liu
https://arxiv.org/abs/2507.04122 https://arxiv.org/pdf…

The cohomology of certain intermediate strata of Kottwitz varieties
We derive explicit formulas for the Frobenius-Hecke traces of the etale cohomology of certain strata of Kottwitz varieties (which are certain compact unitary type Shimura varieties considered by Kottwitz), in terms of automorphic representations and certain explicit polynomials. We obtain our results using the trace formula, representations of general linear groups over p-adic fields, and a truncation of the formula of Kottwitz for the number of points on Shimura varieties over finite fields.

Algebraic identities to prove that a neat finite free algebra is tracically \'etale
Claude Quitt\'e, Henri Lombardi
https://arxiv.org/abs/2506.03851

Algebraic identities to prove that a neat finite free algebra is tracically étale
The central objective of this article is to provide an elementary proof of the following theorem, of which we are unaware of any trace in the existing literature. If $B$ is a net finite free algebra over a commutative ring $A$, then it is tracically étale (its trace form is nondegenerate) and a fortiori étale over A. As indicated in the title, our proof is based on algebraic identities. This confirms the implicit adage that much of the most abstract commutative algebra is concentrated in alge…

Trace Formulas for Deformed W-Algebras
Fabrizio Nieri
https://arxiv.org/abs/2507.02831 https://arxiv.org/pdf/2507.02831

Trace Formulas for Deformed W-Algebras
We investigate trace formulas in $\varepsilon$-deformed W-algebras, highlighting a novel connection to the modular double of $q$-deformed W-algebras. In particular, we show that torus correlators in the additive (Yangian) setting reproduce sphere correlators in the trigonometric setup, possibly with the inclusion of a non-perturbative completion. From a dual perspective, this mechanism implements a gauge theoretic 2d$\to$3d uplift, where a circle direction in the world-sheet transmutes to a com…

On the Spectral Geometry and Small Time Mass of Anderson Models on Planar Domains
Pierre Yves Gaudreau Lamarre, Yuanyuan Pan
https://arxiv.org/abs/2507.06186

On the Spectral Geometry and Small Time Mass of Anderson Models on Planar Domains
We consider the Anderson Hamiltonian (AH) and the parabolic Anderson model (PAM) with white noise and Dirichlet boundary condition on a bounded planar domain $D\subset\mathbb R^2$. We compute the small time asymptotics of the AH's exponential trace up to order $O(\log t)$, and of the PAM's mass up to order $O(t\log t)$. Our proof is probabilistic, and relies on the asymptotics of intersection local times of Brownian motions and bridges in $\mathbb R^2$. Applications of our main result include t…

A Note on Runtime Verification of Concurrent Systems
Martin Leucker
https://arxiv.org/abs/2507.04830 https://arxiv.org/pdf/2507.04830…

A Note on Runtime Verification of Concurrent Systems
To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative perspective on verification of concurrent systems by leveraging trace-based logics rather than sequence-based formalisms. Linear Temporal Logic over Mazurkiewicz Traces (LTrL) operates on partial-order representations of executions, meaning that once a single execut…

Nucleon mass: trace anomaly and $\sigma$-terms
Martin Hoferichter, Jacobo Ruiz de Elvira
https://arxiv.org/abs/2506.23902 https://arx…

Nucleon mass: trace anomaly and $σ$-terms
We give a pedagogical introduction to the origin of the mass of the nucleon. We first review the trace anomaly of the energy-momentum tensor, which generates most of the nucleon mass via the gluon fields and thus contributes even in the case of vanishing quark masses. We then discuss the contributions to the nucleon mass that do originate from the Higgs mechanism via the quark masses, reviewing the current status of nucleon $σ$-terms that encode the corresponding matrix elements.

A systematic study of binary neutron star merger rate density history using simulated gravitational wave and short gamma-ray burst observations
Yun-Fei Du, Emre Seyit Yorgancioglu, Shu-Xu Yi, Tian-Yong Cao, Shuang-Nan Zhang
https://arxiv.org/abs/2507.04019

A systematic study of binary neutron star merger rate density history using simulated gravitational wave and short gamma-ray burst observations
Measuring the merger rate density history of binary neutron stars (BNS) can greatly aid in understanding the history of heavy element formation in the Universe. Currently, second-generation Gravitational Wave (GW) detectors can only measure the BNS merger rate density history at low redshifts ($z$ $\sim$ 0.1). Short gamma-ray bursts (sGRBs) may trace the BNS merger to higher redshifts ($z$ $\sim$ 3). However, not all BNS mergers result in sGRBs, and it is not certain that all sGRBs originate fr…

Coulomb Branch and Integrability
Frank Coronado, Shota Komatsu, Konstantin Zarembo
https://arxiv.org/abs/2506.07222 https://arxiv.org…

Coulomb Branch and Integrability
We study one-point functions of non-BPS single-trace operators on the Coulomb branch of planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory. Holography relates them to overlaps between on-shell closed string states and a boundary state describing a probe D3-brane in $AdS_5\times S^{5}$. Assuming that the D-brane preserves integrability, we formulate and solve integrable bootstrap equations satisfied by the boundary state at finite 't Hooft coupling. This leads to a closed-form determinant e…

ETrace:Event-Driven Vulnerability Detection in Smart Contracts via LLM-Based Trace Analysis
Chenyang Peng, Haijun Wang, Yin Wu, Hao Wu, Ming Fan, Yitao Zhao, Ting Liu
https://arxiv.org/abs/2506.15790

ETrace:Event-Driven Vulnerability Detection in Smart Contracts via LLM-Based Trace Analysis
With the advance application of blockchain technology in various fields, ensuring the security and stability of smart contracts has emerged as a critical challenge. Current security analysis methodologies in vulnerability detection can be categorized into static analysis and dynamic analysis methods.However, these existing traditional vulnerability detection methods predominantly rely on analyzing original contract code, not all smart contracts provide accessible code.We present ETrace, a novel…

A three-step approach to reliably estimate magnetic field strengths in star-forming regions
Aristeidis Polychronakis, Aris Tritsis, Raphael Skalidis, Konstantinos Tassis
https://arxiv.org/abs/2507.06297

A three-step approach to reliably estimate magnetic field strengths in star-forming regions
The magnetic field is known to play a crucial role in star formation. Dust polarization is an effective tool for probing the morphology of the field, yet it does not directly trace its strength. Several methods have been developed, combining polarization and spectroscopic data, to estimate the strength of the magnetic field, including the DCF method, which relates these quantities to the magnetic-field strength under the assumption of Alfvénic turbulence. Skalidis & Tassis (2021) (ST), relaxed…

De Bruijn Tori Without Zeros: A Field-Theoretic Perspective
Ming Hsuan Kang, Yu Hsuan Hsieh
https://arxiv.org/abs/2506.19605 https://…

De Bruijn Tori Without Zeros: A Field-Theoretic Perspective
We present an algebraic construction of trace-based De Bruijn tori over finite fields, focusing on the nonzero variant that omits the all-zero pattern. The construction arranges nonzero field elements on a toroidal grid using two multiplicatively independent generators, with values obtained by applying a fixed linear map, typically the field trace. We characterize sampling patterns as subsets whose associated field elements form an \( \mathbb{F}_p \)-basis, and show that column structures cor…

This https://arxiv.org/abs/2505.21945 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Deuterated water abundance in the young hot core RCW 120 S2
Since the emission of water molecules cannot be observed from Earth, less abundant isotopologues, such as H$_2^{18}$O and HDO, are used to trace water in star-forming regions. The main aim of this study is to determine HDO abundance in the hot core RCW 120 S2. We performed observations of the hot core in the 200-255~GHz range using the nFLASH230 receiver on the APEX telescope. Two HDO lines were detected toward RCW 120 S2. Their intensities are described by excitation temperature $286\pm2$~K an…

Maximal entropy in the moment body
Didier Henrion (LAAS-POP)
https://arxiv.org/abs/2507.02461 https://arxiv.org/pdf/2507.02461…

Maximal entropy in the moment body
A moment body is a linear projection of the spectraplex, the convex set of trace-one positive semidefinite matrices. Determining whether a given point lies within a given moment body is a problem with numerous applications in quantum state estimation or polynomial optimization. This moment body membership oracle can be addressed with semidefinite programming, for which several off-the-shelf interior-point solvers are available. In this paper, inspired by techniques from quantum information theo…

topology: Internet AS graph (2004)
An integrated snapshot of the structure of the Internet at the level of Autonomous Systems (ASs), reconstructed from multiple sources, including the RouteViews and RIPE BGP trace collectors, route servers, looking glasses, and the Internet Routing Registry databases. This snapshot was created around October 2004.
This network has 34761 nodes and 171403 edges.
Tags: Technological, Communication, Unweighted, Multigraph, Timestamps

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…

Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices
Peter Danchev, Esther Garc\'ia, Miguel G\'omez Lozano
https://arxiv.org/abs/2507.05762

Matrices over finite fields of odd characteristic as sums of diagonalizable and square-zero matrices
Let $\mathbb{F}$ be a finite field of odd characteristic. When $|\mathbb{F}|\ge 5$, we prove that every matrix $A$ admits a decomposition into $D+M$ where $D$ is diagonalizable and $M^2=0$. For $\mathbb{F}=\mathbb{F}_3$, we show that such decomposition is possible for non-derogatory matrices of order at least 5, and more generally, for matrices whose first invariant factor is not a non-zero trace irreducible polynomial of degree 3; we also establish that matrices consisting of direct …

Gamma/hadron discriminant variables in application to high-energy cosmic-ray air showers
Nataliia Borodai
https://arxiv.org/abs/2507.04546 https://

Gamma/hadron discriminant variables in application to high-energy cosmic-ray air showers
Identification of primary cosmic rays on an event-by-event basis is a much-desired capability of cosmic-ray observatories. Several cosmic-ray air-shower experiments use so-called photon tags for gamma hadron primary particle discrimination. These photon tag variables are derived from the total signals measured by an array of detectors and are correlated with the total number of muons in the air shower. In this work, variables based on time distribution of signals in detectors (trace-based discr…

This https://arxiv.org/abs/2506.06149 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Faint absorption of the ground state hyperfine-splitting transitions of hydroxyl at 18 cm in the Galactic Disk
The interstellar hydride hydroxyl (OH) is a potential tracer of CO-dark molecular gas. We present new absorption line observations of OH at 18-cm wavelength towards four continuum sources. We compare these to the [CII] line at 1.9 THz obtained with SOFIA, observations of the neutral atomic hydrogen 21 cm line with the VLA, and CO lines obtained with APEX. We trace OH over a large range of molecular hydrogen column densities, and derive OH abundances with respect to molecular and total hydrogen …

Frobenius and Verschiebung for $K$-theory of endomorphisms
Sanjana Agarwal, Jonathan Campbell, Diego Manco, Kate Ponto, Zhonghui Sun
https://arxiv.org/abs/2507.05956

Frobenius and Verschiebung for $K$-theory of endomorphisms
We show that the Frobenius and Verschiebung maps that are fundamental to Witt vectors lift to the reduced K-theory of endomorphisms. In particular, we define Frobenius and Verschiebung maps for the reduced K-theory of twisted endomorphisms of modules over non commutative rings and show they have the expected behavior after applying the iterated trace map

The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors
Razvan Gurau, Felix Joos, Benjamin Sudakov
https://arxiv.org/abs/2506.15362

The large $N$ factorization does not hold for arbitrary multi-trace observables in random tensors
We consider real tensors of order $D$, that is $D$-dimensional arrays of real numbers $T_{a^1a^2 \dots a^D}$, where each index $a^c$ can take $N$ values. The tensor entries $T_{a^1a^2 \dots a^D}$ have no symmetry properties under permutations of the indices. The invariant polynomials built out of the tensor entries are called trace invariants. We prove that for a Gaussian random tensor with $D\ge 3$ indices (that is such that the entries $T_{a^1a^2 \dots a^D}$ are independent identically dist…

Context-aware gate set tomography: Improving the self-consistent characterization of trapped-ion universal gate sets by leveraging non-Markovianity
Pablo Vi\~nas, Alejandro Bermudez
https://arxiv.org/abs/2507.02542

Context-aware gate set tomography: Improving the self-consistent characterization of trapped-ion universal gate sets by leveraging non-Markovianity
To progress in the characterization of noise for current quantum computers, gate set tomography (GST) has emerged as a self-consistent tomographic protocol that can accurately estimate the complete set of noisy quantum gates, state preparations, and measurements. In its original incarnation, GST improves the estimation precision by applying the gates sequentially, provided that the noise makes them a set of fixed completely-positive and trace preserving (CPTP) maps independent of the history of…

Optimal trace norms for Helmholtz problems
Benedikt Gr\"a{\ss}le
https://arxiv.org/abs/2506.11944 https://arxiv.org/pdf/2506.119…

Optimal trace norms for Helmholtz problems
The natural $H^1(Ω)$ energy norm for Helmholtz problems is weighted with the wavenumber modulus $σ$ and induces natural weighted norms on the trace spaces $H^{\pm1/2}(Γ)$ by minimial extension to $Ω\subset\mathbb R^n$. This paper presents a rigorous analysis for these trace norms with an explicit characterisation by weighted Sobolev-Slobodeckij norms and scaling estimates, highlighting their dependence on the geometry of the extension set $Ω\subset\mathbb R^n$ and the weight $σ$. The anal…

An Assessment of Organics Detection and Characterization on the Surface of Europa with Infrared Spectroscopy
Ishan Mishra, Nikole Lewis, Jonathan Lunine, Kevin P. Hand
https://arxiv.org/abs/2506.01842

An Assessment of Organics Detection and Characterization on the Surface of Europa with Infrared Spectroscopy
Organics, if they do exist on Europa, may only be present in trace amounts on the surface. NASA's upcoming mission Europa Clipper is going to provide global, high quality data of the surface of Europa in the near-infrared (NIR), specifically the 3-5~$μ$m region, where organics are rich in spectroscopic features. In this work we investigate Europa Clipper's ability to constrain the abundance of selected trace species of interest that span different chemical bonds found in organics, such as C-H,…

This https://arxiv.org/abs/2503.22935 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Improving the Context Length and Efficiency of Code Retrieval for Tracing Security Vulnerability Fixes
An upstream task for software bill-of-materials (SBOMs) is the accurate localization of the patch that fixes a vulnerability. Nevertheless, existing work reveals a significant gap in the CVEs whose patches exist but are not traceable. Existing works have proposed several approaches to trace/retrieve the patching commit for fixing a CVE. However, they suffer from two major challenges: (1) They cannot effectively handle long diff code of a commit; (2) We are not aware of existing work that scales…

A map of the outer gas disk of the Galaxy with direct distances from young stars
Peter Craig, Sukanya Chakrabarti, Alexander R. Pettitt, Robyn Sanderson, Erik Rosolowsky
https://arxiv.org/abs/2506.05575

A map of the outer gas disk of the Galaxy with direct distances from young stars
For more than fifty years, astronomers have mapped the neutral hydrogen gas in the Galaxy assuming kinematically derived distances. We employ the distances of nearby young stars, which trace the gas from which they formed, in longitude-latitude-velocity space to map this gas without using kinematic distances. We denote this new method "pattern matching". Analysis of simulated spiral galaxies indicates that our pattern matching distances are 24% more accurate than kinematic distances for gas wit…

Sample-optimal learning of quantum states using gentle measurements
Cristina Butucea, Jan Johannes, Henning Stein
https://arxiv.org/abs/2505.24587 https://…

Sample-optimal learning of quantum states using gentle measurements
Gentle measurements of quantum states do not entirely collapse the initial state. Instead, they provide a post-measurement state at a prescribed trace distance $α$ from the initial state together with a random variable used for quantum learning of the initial state. We introduce here the class of $α-$locally-gentle measurements ($α-$LGM) on a finite dimensional quantum system which are product measurements on product states and prove a strong quantum Data-Processing Inequality (qDPI) on this…

Faint absorption of the ground state hyperfine-splitting transitions of hydroxyl at 18 cm in the Galactic Disk
M. R. Rugel, H. Beuther, J. D. Soler, P. Goldsmith, L. Anderson, A. Hafner, J. Dawson, Y. Wang, S. Bihr, H. Wiesemeyer, R. Guesten, M. -Y. Lee, D. Riquelme. A. M. Jacob, W. -J. Kim, M. Busch, S. Khan, A. Brunthaler
https://

Faint absorption of the ground state hyperfine-splitting transitions of hydroxyl at 18 cm in the Galactic Disk
The interstellar hydride hydroxyl (OH) is a potential tracer of CO-dark molecular gas. We present new absorption line observations of OH at 18-cm wavelength towards four continuum sources. We compare these to the [CII] line at 1.9 THz obtained with SOFIA, observations of the neutral atomic hydrogen 21 cm line with the VLA, and CO lines obtained with APEX. We trace OH over a large range of molecular hydrogen column densities, and derive OH abundances with respect to molecular and total hydrogen …

Stochastic inflation as an open quantum system
Yue-Zhou Li
https://arxiv.org/abs/2507.02070 https://arxiv.org/pdf/2507.02070

Stochastic inflation as an open quantum system
We reinterpret Starobinsky's stochastic inflation as an open quantum system, where short-wavelength modes act as the environment for long-wavelength modes. Using the Schwinger-Keldysh formalism, we systematically trace out the environment and derive an effective theory for the reduced density matrix, including deviations from exact de Sitter. The resulting master equation is a Lindblad equation, which reduces to a Fokker-Planck equation for the diagonal elements up to higher orders in the slow-…