Refuting Spectral Compatibility of Quantum Marginals
Delve into quantum marginal problem's spectral compatibility through a mathematical framework using symmetry-reduced semidefinite programming hierarchy for detecting incompatible spectra in quantum states.
New Additivity Properties of the Relative Entropy of Entanglement and Its Generalizations
Delve into quantum entanglement theory through an exploration of relative entropy additivity properties, focusing on bipartite pure states, Bell diagonal states, and generalized Dicke states.
Stability Problems in General Relativity
Explore stability problems in general relativity, focusing on mathematical challenges and recent advancements in understanding gravitational phenomena.
Coherent States and Entropy in Geometric Quantization
Explore coherent states and entropy in geometric quantization, examining entanglement entropy bounds on Kähler manifolds.
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 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.
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.
A Categorical Approach to Statistical Mechanics
Explore statistical mechanics through a categorical lens, gaining insights into complex systems and thermodynamic principles.
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.
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.
A Variational Principle of Minimum for Navier-Stokes Equation Based on the Symplectic Formalism
Explore a variational principle of minimum for Navier-Stokes equations using symplectic formalism, advancing understanding of fluid dynamics and mathematical physics.
Couplings of Brownian Motions on SU2 and C
Explore couplings of Brownian motions on SU2 and C, delving into advanced mathematical concepts and their applications in stochastic processes.
Twistor Spaces on Foliated Manifolds - Geometric Science of Information
Explore twistor spaces on foliated manifolds and their applications in geometric information science. Delve into advanced mathematical concepts and their relevance to information theory.
Riemann's Theta Function: From Algebraic Geometry to Water Wave Physics
Explore Riemann's theta function's role in mathematics, from geometry to cryptography, and its connection to water wave physics through the KP equation.
Mathematical General Relativity to Quantum Field and Information Theory - Research Overview
Explore core research in Mathematical General Relativity, Quantum Field Theory, and Information Theory, with connections to various mathematical areas.
Introduction to Green's Function - A One-Dimensional Example
Explore Green's Function through a one-dimensional example, gaining insights into this mathematical concept and its applications in physics and engineering.
Curved Quantum Nonlinear Waveguides
Explore curved quantum nonlinear waveguides with Laura Baldelli's insightful conference talk on mathematical physics and non-self-adjoint operators.
Laminated Metamaterials - Divergence Form Equations and Homogenisation
Explore divergence form equations with sign-indefinite coefficients, solution criteria, and homogenization methods for oscillatory ill-posed problems in quantum theory.
Approximation of Dirac Operators with Delta-Shell Potentials
Explore approximation of 2D Dirac operators with δ-shell potentials using squeezed potentials. Analyze convergence in norm resolvent sense for specific interaction strengths.
Multiple Wave Scattering - Previewing the Rothschild Lecture
Explore multiple wave scattering theory and applications with Prof. Liliana Borcea, previewing her Rothschild lecture and discussing collaborative research at INI.
Spectral Properties of Soft Quantum Waveguides
Explore spectral properties of soft quantum waveguides, focusing on Schrödinger operators with attractive potentials along curved channels. Analyze discrete spectrum conditions and ground state optimization.