Quasi-convergence of Optimal Balance by Nudging in Two-scale Dynamical Systems
Explore optimal balance numerical method for two-scale dynamical systems, focusing on quasi-convergence of nudging solver and its effectiveness in computing slow manifolds.
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.
Inverse Spectral Theory for Strings and the Conservative Camassa-Holm Flow
Explore inverse spectral theory for generalized indefinite strings and its application to the conservative Camassa-Holm flow, focusing on characterizing spectral measures and Weyl-Titchmarsh functions.
Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling
Explore polaron models at weak coupling, focusing on the absence of excited eigenvalues below the essential spectrum in Fröhlich-type systems at zero total momentum.
Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators
Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.
Improved Lieb-Thirring Type Inequalities for Non-Selfadjoint Schroedinger Operators
Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.
A New Approach to the Hot Spots Conjecture
Explore a novel approach to the hot spots conjecture in mathematics, focusing on eigenvalues of Neumann and Dirichlet Laplacians and recent advances in the field.
Singularity of Stationary Measures in Markov Chains
Explore stationary measures of compound Markov chains, focusing on examples using boundary processes of random walks on the modular group PSL(2,Z) and related classical constructions.
Constrained Stochastic Processes: From Brownian Motion to Run-and-Tumble Particles
Explore constrained stochastic processes, including Brownian motion, Lévy flights, and run-and-tumble particles. Learn effective dynamics for generating constrained trajectories in various scenarios.
Antagonistic Cost Functionals in Shape Optimization
Explore antagonistic cost functionals in shape optimization with Giuseppe Buttazzo, delving into new perspectives and advanced mathematical concepts.
On the Rearrangement of a Function and Its Applications
Explore classical results and applications of function rearrangement, including recent developments in shape and topology optimization.
Schoen's Conjecture for Limits of Isoperimetric Surfaces
Explore Schoen's conjecture for asymptotically flat Riemannian manifolds, focusing on area-minimizing hypersurfaces and recent developments in mathematical relativity.
Oka Tubes in Holomorphic Line Bundles
Explore Oka tubes in holomorphic line bundles with Franc Forstneric, delving into advanced concepts in complex analysis and geometry.
Rational Sphere Maps: Symmetries, Gaps, and Optimization
Explore rational sphere maps, analyzing symmetries, gaps, and optimization in complex variables. Gain insights into target dimensions, equivariant groups, and the Whitney map.