On the Darboux-Halphen system: Jacobi vs Lie - 惯性聚合

推荐订阅源

The Blog of Author Tim Ferriss

人人都是产品经理

博客园 - 叶小钗

博客园_首页

Help Net Security

aimingoo的专栏

Fortinet All Blogs

DataBreaches.Net

罗磊的独立博客

Kaspersky official blog

Cyber Attacks, Cyber Crime and Cyber Security

Palo Alto Networks Blog

Know Your Adversary

Security Affairs

Engineering at Meta

Recent Commits to openclaw:main

The Exploit Database - CXSecurity.com

LINUX DO - 热门话题

Threat Research - Cisco Blogs

Threat Intelligence Blog | Flashpoint

Privacy International News Feed

Cisco Talos Blog

Tor Project blog

Simon Willison's Weblog

Help Net Security

OSCHINA 社区最新新闻

有赞技术团队

cs.AI updates on arXiv.org

Vulnerabilities – Threatpost

The Hacker News

博客园 - 聂微东

Schneier on Security

Recent Announcements

Darknet – Hacking Tools, Hacker News & Cyber Security

math updates on arXiv.org

PilotWiMAE: Pilot-Native Representation Learning for Wireless Channels Anytime Training with Schedule-Free Spectral Optimization Any-Dimensional Invariant Universality Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation Instance-Optimal Estimation with Multiple LLM Judges on a Budget Coupling-Robust Accuracy in Multiphysics Physics Informed Neural Networks via Kronecker-Preconditioned Optimization Commutator-Induced Uncertainty in VAEs Weisfeiler-Leman Is Incomplete on Simple Spectrum Graphs, so Canonicalize Them Non-normal spectral signatures of instability in neural network training dynamics Is Dimensionality a Barrier for Retrieval Models? Optimization of randomized neural networks for transfer operator approximation Entrywise Error Bounds for Spectral Ranking with Semi-Random Adversaries Training-Free Looped Transformers LLMs as Noisy Channels: A Shannon Perspective on Model Capacity and Scaling Laws RA-DCA: A Randomized Active-Set DCA for Directional Stationarity in Max-Structured DC Programs Resilience Characterization of AI-Native Wireless Receivers via Persistent Homology Diffusion-based Denoising Beats Vanilla Score Matching in Parameter Estimation: A Theoretical Explanation Operationalizing Individual Fairness via Gradient Descent and Bradley-Terry Models Entropy Equivalence Testing Selective Ambulance Dispatch Under Contextual Travel-Time Uncertainty Sparse In-Network Learning via Shortest-Path Backpropagation and Finite-Rate Gating Asymmetric Scaling Laws from Sparse Features Move on Muon : A Hamiltonian probability gradient flow perspective of Muon optimizer On the Stability of Spherical Hellinger-Kantorovich Flows and Their Implications for Differential Privacy ArcMark: Distortion-Free Multi-Byte LLM Watermark via Optimal Transport Efficient Gradient Estimation for Parameterized Quantum Systems with Lie Algebraic Symmetries LLAMA LIMA: A Living Meta-Analysis on the Effects of Generative AI on Learning Mathematics Linear Regression with Unknown Truncation Beyond Gaussian Features Training-Free Rate-Distortion-Perception Traversal With Diffusion Learning Decision-Sufficient Representations for Linear Optimization Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes Parameterized Complexity of Stationarity Testing for Piecewise-Affine Functions and Shallow CNN Losses Every Minimal Counterexample to the Erdős-Gyárfás Conjecture is Predominantly Cubic Prabhakar function and unified fractional kinetic equation in bicomplex space Every signed planar graph is $5$-choosable: A short proof and refinements A Comprehensive Study of Clique Graphs and Clique Regular Graphs Mathematical Foundations for Peer-to-Peer Lattice Computation Computing Gamma(p/q) with Beta function values Flows on Graded Manifolds Optimal embedding dimension in the Nash--Tognoli theorem Generalized Stochastic Approximation of the Log-Likelihood Ratio for Robust Sequential Change-Point Detection An optimal first-order method for smooth and strongly convex composite optimization and its stationary limit Sharp Bohr-Type inequalities for certain classes of close-to-convex functions An Axiomatic Theory of Tie-Breaking: Impossibility, Characterization, and Decomposition Invariants of real affine varieties based on their complexifications The Geometry of Cooperative Game Solutions: Stratified Egalitarian Shapley Values Topological symmetric and braid homologies Reconstructibility of Pitch Class Graphs and the Z-relation Finite groups with high commuting probability for Sylow subgroups On Reed-Muller subcodes, Grassmannian partitions and sum-free functions Concise and elegant proofs of three formulas for complete Bell polynomials Performance Bounds for Rollout Policies in Stochastic Shortest Path Problems Real 2-blocks in quasi-simple groups Maximal subalgebras of the Lie algebra $W_n(\mathbb{K})$ Cohomogeneity-One Ruled Hypersurfaces in $\mathbb{CP}^2$ and $\mathbb{C}H^2$ Global analysis of the Kuramoto flow Cartier algebras through the lens of $p$-families Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks Symplectic lattice counting and zeta functions of higher Heisenberg groups A Complete Spectral Analysis of the CEV Operator with Applications to Arbitrage A secondary pairing between K-theory and K-homology, relative eta invariants, and zeta maps Detecting and Correcting Sample-by-Sample Scale Distortion in RNA Sequencing Data Star-Shaped Integral Cartan-Type Matrices and an Egyptian-Fraction Classification of Affine Weighted Trees The Poisson Tail Conjecture for Primes in Short Intervals Polylogarithmic Full-Chord Buffon Discrepancy Extremum seeking with exponential convergence via high-order Lie bracket approximations Sets of large values of polynomial multi-correlation functions Reflections and Sheafifications in Algebraic and Topological Categories On the final-state problem for the 1D cubic NLS Mode-Shape Expansion Using Physics-Constrained Gaussian Process Regression Isotropic Meta Kazhdan-Lusztig Combinatorics II: Isomorphism to the generalised Khovanov arc algebra Improved Torn Paper Coding via Local Alignment Discrete Pauli pairs Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations The General Theory of Localization Methods TelecomTS: A Multi-Modal Observability Dataset for Time Series and Language Analysis SPHERICAL KV: Angle-Domain Attention and Rate-Distortion Retention for Efficient Long-Context Inference Program Evaluation with Remotely Sensed Outcomes Proximal basin hopping: global optimization with guarantees Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers On Stability and Decomposition of Sample Quantiles under Heavy-Tailed Distributions Democratizing Large-Scale Re-Optimization with LLM-Guided Model Patches NOVA: Fundamental Limits of Knowledge Discovery Through AI Stochastic Non-Smooth Convex Optimization with Unbounded Gradients PyCSP3-Scheduling: A Scheduling Extension for PyCSP3 Strategic PAC Learnability via Geometric Definability Proximal-Based Generative Modeling for Bayesian Inverse Problems Feature Learning Dynamics in Infinite-Depth Neural Networks TopoGeoScore: A Self-Supervised Source-Only Geometric Framework for OOD Checkpoint Selection Omni-scale Learning-based Sequential Decision Framework for Order Fulfillment of Tote-handling Robotic Systems Towards an Inferentialist Account of Information Through Proof-theoretic Semantics Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes Normalizing Flows on Quotient Manifolds via Boundary Quotients Beyond Continuity: Simulation-free Reconstruction of Discrete Branching Dynamics from Single-cell Snapshots A Unified Fractional Regularization Framework for Sparse Recovery Inference of Online Newton Methods with Nesterov's Accelerated Sketching Deep Learning of Solver-Aware Turbulence Closures from Nudged LES Dynamics QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems Information bottleneck for learning the phase space of dynamics from high-dimensional experimental data Adaptive Learning via Off-Model Training and Importance Sampling for Fully Non-Markovian Optimal Stochastic Control. Complete version

On the Darboux-Halphen system: Jacobi vs Lie

[Submitted on 13 May 2026 (v1), last revised 11 Jun 2026 (this v · 2026-06-12 · via math updates on arXiv.org

此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。原文来自 — 版权归原作者所有。