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arXiv Preprints
Graph Puzzles I.1: Oriented Berge-Fulkerson Conjecture
The Berge-Fulkerson conjecture states that every bridgeless cubic graph can be covered with six perfect matchings such that each edge is covered exactly twice. An equivalent reformulation is that it's possible to find a 6-cycle 4-cover. In this ...
math:math:CO
arXiv Preprints
Cross-Modal Transferable Image-to-Video Attack on Video Quality Metrics
Recent studies have revealed that modern image and video quality assessment (IQA/VQA) metrics are vulnerable to adversarial attacks. An attacker can manipulate a video through preprocessing to artificially increase its quality score according to a ce...
cs:cs:CVcs:cs:AI
arXiv Preprints
Fully quantum inflation: quantum marginal problem constraints in the service of causal inference
Consider the problem of deciding, for a particular multipartite quantum state, whether or not it is realizable in a quantum network with a particular causal structure. This is a fully quantum version of what causal inference researchers refer to as t...
physics:quant-ph
arXiv Preprints
Probing the Limits of Habitability: A Catalog of Rocky Exoplanets in the Habitable Zone
While most of the 6000 discovered exoplanets are highly unlike the Earth, the first rocky worlds in the Habitable Zone (HZ) provide intriguing targets for the search for life in the cosmos. As detections increase, it is critical to test the empirical...
physics:astro-ph:EPphysics:astro-ph:IMphysics:astro-ph:SR
arXiv Preprints
Bipartite Fluctuations and Charge Fractionalization in Quantum Wires
We introduce a quantum information method for measuring fractional charges in ballistic quantum wires generalizing bipartite fluctuations to the chiral quasiparticles in Luttinger liquids, i.e. analyzing and summing charge and current fluctuations in...
physics:cond-mat:mes-hallphysics:cond-mat:str-elphysics:hep-thphysics:quant-ph
arXiv Preprints
Tailoring Synthetic Gauge Fields in Ultracold Atoms via Spatially Engineered Vector Beams
Ultracold atoms, typically manipulated by scalar beams with uniform polarization, have propelled advances in quantum simulation, computation, and metrology. Yet, vector beams (VBs) -- structured light with spatially varying polarization -- remain une...
physics:cond-mat:quant-gasphysics:physics:atom-phphysics:physics:opticsphysics:quant-ph
arXiv Preprints
Optimal domain of Volterra operators in Korenblum spaces
The aim of this article is to study the largest domain space $[T,X]$, whenever it exists, of a given continuous linear operator $T\colon X\to X$, where $X\subseteq H(\mathbb{D})$ is a Banach space of analytic functions on the open unit disc $\mathbb{...
math:math:FA
arXiv Preprints
Some Properties of The Finitely Additive Vector Integral
We prove some results concerning the finitely additive, vector integral of Bochner and Pettis and their representation over a countably additive probability space. Applications to convergence of vector valued martingales and to the non compact Choque...
math:math:FAmath:math:PR
arXiv Preprints
Automated Microservice Pattern Instance Detection Using Infrastructure-as-Code Artifacts and Large Language Models
Documenting software architecture is essential to preserve architecture knowledge, even though it is frequently costly. Architecture pattern instances, including microservice pattern instances, provide important structural software information. Pract...
cs:cs:SEcs:cs:AI
arXiv Preprints
Cartan motion groups: regularity of K-finite matrix coefficients
If $G$ is a connected semisimple Lie group with finite center and $K$ is a maximal compact subgroup of G, then the Lie algebra of $G$ admits a Cartan decomposition $\mathfrak{g}=\mathfrak{k}\oplus\mathfrak{p}$. This allows us to define the Cartan mot...
math:math:GRmath:math:FAmath:math:RT
arXiv Preprints
Choosing suitable noise models for nanohertz gravitational-wave astrophysics
Accurately estimating the parameters of the nanohertz gravitational-wave background is essential for understanding its origin. The background is typically modeled with a power-law spectrum, parametrized with an amplitude $A$, which describes its inte...
physics:gr-qcphysics:astro-ph:HE
arXiv Preprints
Demystifying integrable QFTs in AdS: No-go theorems for higher-spin charges
Higher-spin conserved currents and charges feature prominently in integrable 2d QFTs in flat space. Motivated by the question of integrable field theories in AdS space, we consider the consequences of higher-spin currents for QFTs in AdS$_2$, and fin...
physics:hep-th
arXiv Preprints
Streaming Attention Approximation via Discrepancy Theory
Large language models (LLMs) have achieved impressive success, but their high memory requirements present challenges for long-context token generation. In this paper we study the streaming complexity of attention approximation, a key computational pr...
cs:cs:LGcs:cs:AIcs:cs:DS
arXiv Preprints
Mathematical modeling and simulation of coupled aqueous humor flow and temperature distribution in a realistic 3D human eye geometry
We present a comprehensive computational model to simulate the coupled dynamics of aqueous humor flow and heat transfer in the human eye. To manage the complexity of the model, we make significant efforts in meshing and efficient solution of the disc...
math:math:AP
arXiv Preprints
Space-Efficient Quantum Error Reduction without log Factors
Given an algorithm that outputs the correct answer with bounded error, say $1/3$, it is sometimes desirable to reduce this error to some arbitrarily small $\varepsilon$ -- e.g., if one wants to call the algorithm many times as a subroutine. The usual...
physics:quant-phcs:cs:DS
arXiv Preprints
EmbBERT: Attention Under 2 MB Memory
Transformer architectures based on the attention mechanism have revolutionized natural language processing (NLP), driving major breakthroughs across virtually every NLP task. However, their substantial memory and computational requirements still hind...
cs:cs:CLcs:cs:ARcs:cs:DCcs:cs:LG
arXiv Preprints
On $\mathcal{F}$-multicolor Turán number of hypergraph graphs
The Ruzsa-Szemerédi $(6,3)$-problem can be equivalently stated as determining the maximum number of edge-disjoint triangles on $n$ vertices such that no triangle is formed by edges from three distinct triangle-copies. Gowers and Janzer extended this...
math:math:CO
arXiv Preprints
Stochastic Schrödinger equation for a homodyne measurement setup of strongly correlated systems
Starting from an experimentally feasible atomic setup, we derive a stochastic Schrödinger equation that captures the homodyne detection record of a strongly interacting system. Applying the rotating wave approximation to the linear atom-light coupli...
physics:quant-ph
arXiv Preprints
Cross-Comparison of Sampling Algorithms for Pulse Profile Modeling of PSR J0740+6620
In the last few years, NICER data has enabled mass and radius inferences for various pulsars, and thus shed light on the equation of state for dense nuclear matter. This is achieved through a technique called pulse profile modeling. The importance of...
physics:astro-ph:HEphysics:nucl-th
arXiv Preprints
Isometries of spacetimes without observer horizons
We study the isometry groups of (non-compact) Lorentzian manifolds with well-behaved causal structure, aka causal spacetimes satisfying the ``no observer horizons'' condition. Our main result is that the group of time orientation-preserving...
math:math:DGphysics:gr-qcphysics:math-phmath:math:MP