Polysymplectic Souriau Lie Group Thermodynamics and Entropy Geometric Structure as Casimir Invariant
Explore advanced concepts in Lie group thermodynamics, focusing on polysymplectic Souriau theory and entropy's geometric structure as a Casimir invariant.
A Study on the Covalent Geometry of Proteins and Its Impact on Distance Geometry
Explore protein covalent geometry and its effects on distance geometry, gaining insights into molecular structures and interactions.
Extensive Entropy Functionals and Non-Ergodic Random Walks
Explore extensive entropy functionals and non-ergodic random walks in statistical physics and complex systems.
Deformed Evidence Lower Bound (λ-ELBO) Using Rényi and Tsallis Divergence
Explore advanced variational inference techniques using Rényi and Tsallis divergences to optimize the Deformed Evidence Lower Bound (λ-ELBO) for improved probabilistic modeling.
Geometric Quantum States and Lagrangian Polar Duality - Quantum Mechanics without Wavefunctions
Explore geometric formulation of quantum states using Lagrangian polar duality, challenging traditional uncertainty principle interpretations and quantum mechanics concepts.
Souriau's Geometric Principles for Quantum Mechanics
Explore geometric principles bridging classical and quantum mechanics, examining symmetries, Planck's constant, and prequantization to determine quantum states through inequalities.
Unitarity Excess in Schwarzschild Metric
Explore eigenvalues in Gordon Klein equation with Schwarzschild metric, examining implications for black hole information paradox and eternal black holes.
A Non-Formal Formula for the Rankin Cohen Deformation Quantization
Explore the Rankin-Cohen deformation quantization, its connections to modular forms and foliations, and discover a new oscillatory integral formula for Zagier's UDF.
A Neurogeometric Stereo Model for Individuation of 3D Perceptual Units
Explore a neurogeometric model for stereo vision and 3D perceptual unit individuation, focusing on sub-Riemannian structures and horizontal curves.
Polysymplectic Souriau Lie Group Thermodynamics and the Geometric Structure of Its Coadjoint Orbits
Explore advanced geometric thermodynamics, focusing on polysymplectic Souriau Lie group theory and coadjoint orbit structures in mathematical physics.
Exploration of Conformations for an Intrinsically Disordered Protein
Explore conformations of intrinsically disordered proteins, delving into their unique structural characteristics and functional implications in biological systems.
Pseudo Dihedral Angles in Proteins - A New Description of the Ramachandran Map
Explore a novel approach to protein structure analysis using pseudo dihedral angles, offering fresh insights into the Ramachandran map and its implications for protein folding.
A Historical Perspective on Schützenberger-Pinsker Inequalities
Explore the historical development and significance of Schützenberger-Pinsker inequalities in information theory and probability theory.
A Categorical Approach to Statistical Mechanics
Explore statistical mechanics through a categorical lens, gaining insights into complex systems and thermodynamic principles.
Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree
Explore types of stickiness in BHV phylogenetic tree spaces and their degree, delving into advanced concepts in computational biology and evolutionary analysis.
Casimir Dissipation Stabilized Stochastic Rotating Shallow Water Equations on the Sphere
Explore stochastic rotating shallow water equations on the sphere, focusing on Casimir dissipation stabilization techniques and their applications in geophysical fluid dynamics.
Variational Geometric Description for Fluids with Permeable Boundaries
Explore variational geometric methods for modeling fluid dynamics with permeable boundaries, enhancing understanding of complex fluid systems and their interactions.
Lagrangian Trajectories and Closure Models in Quantum Classical Dynamics
Explore Lagrangian trajectories and closure models in quantum classical dynamics, gaining insights into advanced theoretical physics concepts.
SE3 Equivariant Hemodynamic Field Estimation in 3D Artery Models via Graph Neural Networks
Estimate hemodynamic fields in 3D artery models using SE3 equivariant graph neural networks, enhancing accuracy and efficiency in cardiovascular research.
Hamiltonian Variational Formulation for Non-Simple Thermodynamic Systems
Explore Hamiltonian variational formulation for complex thermodynamic systems, gaining insights into advanced mathematical approaches in physics and engineering.
Learning Lagrangian Fluid Mechanics with E3 Equivariant Graph Neural Networks
Explore Lagrangian fluid mechanics using advanced E3 equivariant graph neural networks for innovative computational modeling approaches.