The Feynman Propagator and Self-Adjointness in Wave Operators - Lecture
Explore Feynman and anti-Feynman inverses for wave operators on Lorentzian manifolds, connecting to self-adjointness and positivity properties of wave operators.
Spectral Theory of Stationary Spacetimes - Lecture 4
Explore advanced concepts in spectral theory applied to stationary spacetimes, delving into mathematical relativity and its implications for understanding spacetime structures.
Classically Forbidden Regions and Analytic Hypoellipticity in Spectral Theory
Explore analytic microlocal methods in condensed matter physics, focusing on magic angles in graphene and eigenfunction decay. Discover insights from numerical simulations and potential research directions.
Spectral Theory of Stationary Spacetimes - Lecture 3
Explore advanced concepts in spectral theory of stationary spacetimes, building on previous lectures in the series.
Spectral Theory of Stationary Spacetimes - Part II
Explore advanced concepts in spectral theory applied to stationary spacetimes, building on foundational knowledge in mathematical relativity and quantum mechanics.
Exploring Boundary Conditions of Bicolored Maps: Universal Behaviors and New Structures
Explore boundary conditions of bicolored maps, uncovering universal behaviors and new structures in map enumeration and random map models.
One-Loop Renormalizability of the Spectral Action Using Cyclic Cocycles
Explore one-loop renormalizability of the spectral action principle using cyclic cocycles, uncovering its cyclic structure and connections to ribbon graphs in non-commutative geometry.
X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 3
Explore x-y symplectic transformation in topological recursion and its applications through an advanced mathematical lecture by Alexander Hock.
X-Y Symplectic Transformation in Topological Recursion and Applications - Lecture 2
Explore x-y symplectic transformations in topological recursion and their applications through an advanced mathematical lecture.
X-Y Symplectic Transformation in Topological Recursion - Lecture 1
Explore x-y symplectic transformation in topological recursion through an in-depth lecture by Alexander Hock at the ESI workshop on non-commutative geometry.
Nonlinear Dynamics Insights into Golden Tides in the Caribbean Sea
Explore nonlinear dynamics of Sargassum transport in the Caribbean Sea, examining mesoscale eddies as carriers and mechanisms of coastal inundation using satellite data and minimal models.
Spectral Theory of Stationary Spacetimes - Part I
Explore spectral theory in stationary spacetimes, delving into mathematical concepts at the intersection of relativity and quantum mechanics.
Finite Difference Schemes for Partial Differential Equations in Oceanography - Munk Equation and Shallow Water Equations
Explore high-order finite difference schemes for Munk equation and Shallow Water equations on Cubed Sphere grid, with numerical and convergence analysis.
Computing Nodal Deficiency with a Refined Spectral Flow
Explore connections between Dirichlet-to-Neumann map, spectral flow, and nodal deficiency in Laplacian eigenfunctions. Discover improved bounds and applications to spectral minimal partitions.
The Spectrum of Self-Adjoint Extensions Associated with Exceptional Laguerre Differential Expressions
Explore self-adjoint extensions of exceptional Laguerre-type differential expressions using boundary triples, Darboux transformations, and Maya diagrams to derive Weyl-Titchmarsh m-functions.
Schrödinger Operators with Delta-Potentials on Unbounded Lipschitz Surfaces
Explore Schrödinger operators with delta-potentials on unbounded Lipschitz surfaces, focusing on ground state uniqueness, essential spectrum, and Birman-Schwinger principle applications.
Continuum Limits for Discrete Dirac Operators on 2D Square Lattices
Explore continuum limits of discrete Dirac operators on 2D square lattices, focusing on convergence in strong resolvent sense and implications for complex analysis and quantum theory.
Geometrically Induced Discrete Eigenvalues of Dirac Operators with Lorentz Scalar Delta-Shell Interactions
Explore geometrically induced discrete eigenvalues of Dirac operators with Lorentz scalar δ-shell interactions on broken lines, revealing novel spectral properties in quantum theory.
Schrödinger Operators with Oblique Transmission Conditions in R2
Explore Schrödinger operators with oblique transmission conditions, examining self-adjointness, spectral properties, and connections to Dirac operators with delta-potentials in quantum theory.
Some Recent Developments in Generalised Norm Resolvent Convergence
Explore recent developments in generalised norm resolvent convergence, focusing on operators in different Hilbert spaces with illustrative examples.
On the Class of Canonical Systems Corresponding to Matrix String Equations
Explore canonical systems with 2p×2p Hamiltonians, solving direct and inverse problems using Titchmarsh-Weyl functions and S-nodes. Learn construction procedures and high energy asymptotics of Weyl functions.