11 citations · 36 across the 9 of their papers we have counts for
14 papers
A frequency-domain analysis of inexact gradient methods
Oran Gannot
We study robustness properties of some iterative gradient-based methods for strongly convex functions, as well as for the larger class of functions with sector-bounded gradients, u…
Frequency criteria for exponential stability
Oran Gannot
We discuss some frequency-domain criteria for the exponential stability of nonlinear feedback systems based on dissipativity theory. Applications are given to convergence rates for…
Propagation of singularities on AdS spacetimes for general boundary conditions and the holographic Hadamard condition
Oran Gannot, Michał Wrochna
We consider the Klein-Gordon equation on asymptotically anti-de Sitter spacetimes subject to Neumann or Robin (or Dirichlet) boundary conditions, and prove propagation of singulari…
Resonance-free regions for diffractive trapping by conormal potentials
Oran Gannot, Jared Wunsch
We consider the Schrödinger operator \[ P=h^2 Δ_g + V \] on equipped with a metric that is Euclidean outside a compact set. The real-valued potential is assu…
Semiclassical diffraction by conormal potential singularities
Oran Gannot, Jared Wunsch
We establish propagation of singularities for the semiclassical Schrödinger equation, where the potential is conormal to a hypersurface. We show that semiclassical wavefront set pr…
Refined Weyl law for homogeneous perturbations of the harmonic oscillator
Moritz Doll, Oran Gannot, Jared Wunsch
Let denote the harmonic oscillator Hamiltonian on perturbed by an isotropic pseudodifferential operator of order We consider the Schrödinger propagator $U(…
Resolvent estimates for spacetimes bounded by Killing horizons
Oran Gannot
We show that the resolvent grows at most exponentially with frequency for the wave equation on a class of stationary spacetimes which are bounded by non-degenerate Killing horizons…
The null-geodesic flow near horizons
Oran Gannot
This note describes the behavior of null-geodesics near nondegenerate Killing horizons in language amenable to the application of a general framework, due to Vasy and Hintz, for th…
Existence of quasinormal modes for Kerr-AdS black holes
Oran Gannot
This paper establishes the existence of quasinormal frequencies converging exponentially to the real axis for the Klein--Gordon equation on a Kerr-AdS spacetime when Dirichlet boun…
Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes
Oran Gannot
This paper considers boundary value problems for a class of singular elliptic operators which appear naturally in the study of asymptotically anti-de Sitter (aAdS) spacetimes. Thes…
Effects of confinement for single-well potentials
Oran Gannot
We study bound states generated by a unique potential minimum in the situation where the system is strongly confined to a bounded region containing the minimum (by imposing Dirichl…
A global definition of quasinormal modes for Kerr-AdS Black Holes
Oran Gannot
The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes are identified with poles of a certain meromorphic family of operators, once boundary conditions are sp…
From quasimodes to resonances: exponentially decaying perturbations
Oran Gannot
We consider self-adjoint operators of black-box type which are exponentially close to the free Laplacian near infinity, and prove an exponential bound for the resolvent in a strip…
Quasinormal modes for Schwarzschild-AdS black holes: exponential convergence to the real axis
Oran Gannot
We study quasinormal modes for massive scalar fields in Schwarzschild-anti-de Sitter black holes. When the mass-squared is above the Breitenlohner-Freedman bound we show that for l…