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Convergence of operators with deficiency indices (k, k) and of their self-adjoint extensions
Convergence of operators with deficiency indices (k, k) and of their self-adjoint extensions
We consider an abstract sequence $$\_^\infty $$ of closed symmetric operators on a separable Hilbert space $$}$$ . It is a...
Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and $$L_\infty $$ -algebras
Unitary, Anomalous Master Ward Identity and its Connections to the Wess–Zumino Condition, BV Formalism and $$L_\infty $$ -algebras
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of space-time and a classica...
Recurrence Relations and General Solution of the Exceptional Hermite Equation
Recurrence Relations and General Solution of the Exceptional Hermite Equation
Exceptional orthogonal Hermite polynomials have been linked to the k-step extension of the harmonic oscillator. The except...
Differences Between Robin and Neumann Eigenvalues on Metric Graphs
Differences Between Robin and Neumann Eigenvalues on Metric Graphs
We consider the Laplacian on a metric graph, equipped with Robin ( $$\delta $$ -type) vertex condition at some of the grap...
The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and $$\delta $$ -Interactions
The Rotation Number for Almost Periodic Potentials with Jump Discontinuities and $$\delta $$ -Interactions
We consider one-dimensional Schrödinger operators with generalized almost periodic potentials with jump discontinuiti...
Rademacher Expansion of a Siegel Modular Form for $${{\mathcal {N}}}= 4$$ Counting
Rademacher Expansion of a Siegel Modular Form for $${{\mathcal {N}}}= 4$$ Counting
The degeneracies of 1/4 BPS states with unit torsion in heterotic string theory compactified on a six torus are given in t...
$$L^2$$ -Decay Rate for Special Solutions to Critical Dissipative Nonlinear Schrödinger Equations
$$L^2$$ -Decay Rate for Special Solutions to Critical Dissipative Nonlinear Schrödinger Equations
We consider the Cauchy problem of one-dimensional dissipative nonlinear Schrödinger equations with a critical power n...
Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model
Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model
We use cluster expansion methods to establish local the indistiguishability of the finite volume ground states for the AKL...
Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger Operators and Quantified Resonances
Local Hölder Stability in the Inverse Steklov and Calderón Problems for Radial Schrödinger Operators and Quantified Resonances
We obtain Hölder stability estimates for the inverse Steklov and Calderón problems for Schrödinger operator...
Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice
Robustness of Flat Bands on the Perturbed Kagome and the Perturbed Super-Kagome Lattice
We study spectral properties of perturbed discrete Laplacians on two-dimensional Archimedean tilings. The perturbation man...
The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals
The Singularities of Selberg- and Dotsenko–Fateev-Like Integrals
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the...
Circuit Equation of Grover Walk
Circuit Equation of Grover Walk
We consider the Grover walk on the infinite graph in which an internal finite subgraph receives the inflow from the outsid...
Global Existence and Long-Time Behavior in the 1 + 1-Dimensional Principal Chiral Model with Applications to Solitons
Global Existence and Long-Time Behavior in the 1 + 1-Dimensional Principal Chiral Model with Applications to Solitons
In this paper, we consider the 1 + 1-dimensional vector-valued principal chiral field model (PCF) obtain...
Frobenius Algebras Associated with the $$\alpha $$ -Induction for Equivariantly Braided Tensor Categories
Frobenius Algebras Associated with the $$\alpha $$ -Induction for Equivariantly Braided Tensor Categories
Let G be a group. We give a categorical definition of the G-equivariant $$\alpha $$ -induction associated with a given G-e...
On the Convergence to the Non-equilibrium Steady State of a Langevin Dynamics with Widely Separated Time Scales and Different Temperatures
On the Convergence to the Non-equilibrium Steady State of a Langevin Dynamics with Widely Separated Time Scales and Different Temperatures
We study the solution of the two-temperature Fokker–Planck equation and rigorously analyse its convergence towards a...
Expansion and Collapse of Spherically Symmetric Isotropic Elastic Bodies Surrounded by Vacuum
Expansion and Collapse of Spherically Symmetric Isotropic Elastic Bodies Surrounded by Vacuum
A class of isotropic and scale-invariant strain energy functions is given for which the corresponding spherically symmetri...
On the Fourier Analysis of the Einstein–Klein–Gordon System: Growth and Decay of the Fourier Constants
On the Fourier Analysis of the Einstein–Klein–Gordon System: Growth and Decay of the Fourier Constants
We consider the $$(1+3)$$ -dimensional Einstein equations with negative cosmological constant coupled to a spherically sym...
The Characteristic Gluing Problem for the Einstein Vacuum Equations: Linear and Nonlinear Analysis
The Characteristic Gluing Problem for the Einstein Vacuum Equations: Linear and Nonlinear Analysis
This is the second paper in a series of papers addressing the characteristic gluing problem for the Einstein vacuum equati...
Particle Trajectories for Quantum Maps
Particle Trajectories for Quantum Maps
We study the trajectories of a semiclassical quantum particle under repeated indirect measurement by Kraus operators, in t...
Non-trivial Bundles and Algebraic Classical Field Theory
Non-trivial Bundles and Algebraic Classical Field Theory
Inspired by the recent algebraic approach to classical field theory, we propose a more general setting based on the manifo...
Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions
Baxter operators in Ruijsenaars hyperbolic system II: bispectral wave functions
In the previous paper, we introduced a commuting family of Baxter Q-operators for the quantum Ruijsenaars hyperbolic syste...
Multiple Skew-Orthogonal Polynomials and 2-Component Pfaff Lattice Hierarchy
Multiple Skew-Orthogonal Polynomials and 2-Component Pfaff Lattice Hierarchy
In this paper, we introduce multiple skew-orthogonal polynomials and investigate their connections with classical integrab...
Reconstruction of Vertex Algebras in Even Higher Dimensions
Reconstruction of Vertex Algebras in Even Higher Dimensions
Vertex algebras in higher dimensions correspond to models of quantum field theory with global conformal invariance. Any ve...
Entanglement Entropy of Ground States of the Three-Dimensional Ideal Fermi Gas in a Magnetic Field
Entanglement Entropy of Ground States of the Three-Dimensional Ideal Fermi Gas in a Magnetic Field
We study the asymptotic growth of the entanglement entropy of ground states of non-interacting (spinless) fermions in $$}}...
Correction to: Algebraic Approach to Casimir Force Between Two $$\delta $$ -like Potentials
Correction to: Algebraic Approach to Casimir Force Between Two $$\delta $$ -like Potentials
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which...
Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with bound...
Bulk Behaviour of Ground States for Relativistic Schrödinger Operators with Compactly Supported Potentials
Bulk Behaviour of Ground States for Relativistic Schrödinger Operators with Compactly Supported Potentials
We propose a probabilistic representation of the ground states of massive and massless Schrödinger operators with a p...
Airy Ideals, Transvections, and $${\mathcal {W}}(\mathfrak {sp}_{2N})$$ -Algebras
Airy Ideals, Transvections, and $${\mathcal {W}}(\mathfrak {sp}_{2N})$$ -Algebras
In the first part of the paper, we propose a different viewpoint on the theory of higher Airy structures (or Airy ideals),...
An Operator-Algebraic Formulation of Self-testing
An Operator-Algebraic Formulation of Self-testing
We give a new definition of self-testing for correlations in terms of states on $$C^*$$ -algebras. We show that this defin...
Hodge-Elliptic Genera, K3 Surfaces and Enumerative Geometry
Hodge-Elliptic Genera, K3 Surfaces and Enumerative Geometry
K3 surfaces play a prominent role in string theory and algebraic geometry. The properties of their enumerative invariants ...
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