Latest Research in Statistical Mechanics

Top Research Topics in Statistical Mechanics

• Machine Learning — 15 papers
• Statistical Mechanics — 10 papers
• Numerical Analysis — 7 papers
• Quantum Physics — 6 papers
• Neural dynamics and brain function — 4 papers
• Seismic Imaging and Inversion Techniques — 2 papers
• Model Reduction and Neural Networks — 2 papers
• Chaotic Dynamics — 2 papers
• Nonlinear Dynamics and Pattern Formation — 2 papers
• Fluid Dynamics — 2 papers

Highest-Cited Papers

1. Hyperedge overlap regulates stochastic resonance in higher-order networks
2. From Proportional Rectangles to Sampled Analog Root Computation
3. MERLIN SCIENCE — Phi-Scaled Vector Quantization of Neural Phase-Coherence — E8 Intelligence Research
4. Morphological Memory: Grounding Synthetic Agent Architectures in Basal Cognition and Non-Neural Morphogenesis
5. Physical knowledge on historical data matters more than enforcing physical constraints on the forecast
6. Martingale theory for heat and phase-space contraction in heterogeneous diffusions
7. Target Search Optimization by Threshold Resetting (4 citations)
8. The Adaptive Solution of High-Frequency Helmholtz Equations via Multi-Grade Deep Learning
9. Tackling Failure Modes of PINNs and PIKANs Using Conflict-Free Gradients
10. HiLNO: A Hierarchical Latent Neural Operator with Multi-Scale Supervision for PDEs on General Geometries
11. Deep Invertible Autoencoders for Dimensionality Reduction of Dynamical Systems
12. Can Deep Learning Achieve Cross-Physics Mapping?
13. E8 Resonant Cognitive Bandwidth Amplification — E8 Intelligence Research
14. Melnikov-based observability breakdown in singular bilinear periodic matrix differential systems
15. Beyond Phase Reduction: Amplitude Collapse in Optimal Control of Coupled Oscillators
16. Stable by Construction: Variational Latent Markov Operators for Long-Horizon PDE Prediction
17. Structure-Informed Data-Driven Reduced-Order Modeling of Scalar Hyperbolic Conservation Laws via Kinetic Defect Measure
18. Nonlinear kinetic closures for linear instabilities
19. Synchronization with Annealed Disorder and Higher-Harmonic Interactions in Arbitrary Dimensions: When Two Dimensions Are Special
20. Linearized PINN with pretrained nonlinear layers