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The Hitchin Image in Type-D
The Hitchin Image in Type-D
Motivated by their appearance as Coulomb branch geometries of Class S theories, we study the image of the local Hitchin ma...
An Algebraic Correspondence Between Stochastic Differential Equations and the Martin–Siggia–Rose Formalism
An Algebraic Correspondence Between Stochastic Differential Equations and the Martin–Siggia–Rose Formalism
In the realm of complex systems, dynamics is often modeled in terms of a nonlinear, stochastic, ordinary differential equa...
Ambitwistor Yang–Mills Theory Revisited
Ambitwistor Yang–Mills Theory Revisited
Inspired by the Movshev–Mason–Skinner Cauchy–Riemann (CR) ambitwistor approach, we provide a rigorous ye...
Boundary Conditions and Violations of Bulk-Edge Correspondence in a Hydrodynamic Model
Boundary Conditions and Violations of Bulk-Edge Correspondence in a Hydrodynamic Model
Bulk-edge correspondence is a wide-ranging principle that applies to topological matter, as well as a precise result estab...
The Backscattering Problem for Time-Dependent Potentials
The Backscattering Problem for Time-Dependent Potentials
We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipschitz stability for...
Pfaffian Structure of the Eigenvector Overlap for the Symplectic Ginibre Ensemble
Pfaffian Structure of the Eigenvector Overlap for the Symplectic Ginibre Ensemble
We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic Ginibre ense...
Spectral Regularity and Defects for the Kohmoto Model
Spectral Regularity and Defects for the Kohmoto Model
We study the Kohmoto model including Sturmian Hamiltonians and the associated Kohmoto butterfly. We prove spectral estimat...
Current Fluctuations for the Boundary-Driven Zero-Range Process on Graphs: Microscopic Versus Macroscopic Approach and a Theory of Non-reversible Resistor-Like Networks
Current Fluctuations for the Boundary-Driven Zero-Range Process on Graphs: Microscopic Versus Macroscopic Approach and a Theory of Non-reversible Resistor-Like Networks
We compute the joint large deviation rate functional in the limit of large time for the current flowing through the edges ...
On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
On the Spectrum of Sturmian Hamiltonians of Bounded Type in a Small Coupling Regime
We prove that the Hausdorff dimension of the spectrum of a discrete Schrödinger operator with Sturmian potential of b...
On the Lyapunov Exponent for the Random Field Ising Transfer Matrix, in the Critical Case
On the Lyapunov Exponent for the Random Field Ising Transfer Matrix, in the Critical Case
We study the top Lyapunov exponent of a product of random $$2 \times 2$$ matrices appearing in the analysis of several sta...
On the Phase Diagram of the Multiscale Mean-Field Spin-Glass
On the Phase Diagram of the Multiscale Mean-Field Spin-Glass
In this paper, we study the phase diagram of a Sherrington-Kirkpatrick (SK) model where the couplings are forced to therma...
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...
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