Pseudospectrum and black hole quasinormal mode instability

JL Jaramillo, RP Macedo, LA Sheikh - Physical Review X, 2021‏ - APS
We study the stability of quasinormal modes (QNM) in asymptotically flat black hole
spacetimes by means of a pseudospectrum analysis. The construction of the Schwarzschild …

Gravitational wave signatures of black hole quasinormal mode instability

JL Jaramillo, RP Macedo, LA Sheikh - Physical Review Letters, 2022‏ - APS
Black hole (BH) spectroscopy has emerged as a powerful approach to extracting spacetime
information from gravitational wave (GW) observed signals. Yet, quasinormal mode (QNM) …

Structural aspects of the anti–de Sitter black hole pseudospectrum

V Boyanov, V Cardoso, K Destounis, JL Jaramillo… - Physical Review D, 2024‏ - APS
Black holes in anti–de Sitter spacetime provide an important testing ground for both
gravitational and field-theoretic phenomena. In particular, the study of perturbations can be …

Complex scaling and the distribution of scattering poles

J Sjöstrand, M Zworski - Journal of the American Mathematical Society, 1991‏ - JSTOR
The purpose of this paper is to establish sharp polynomial bounds on the number of
scattering poles for a general class of compactly supported self-adjoint perturbations of the …

Energy scales and black hole pseudospectra: the structural role of the scalar product

E Gasperin, JL Jaramillo - Classical and Quantum Gravity, 2022‏ - iopscience.iop.org
A pseudospectrum analysis has recently provided evidence of a potential generic instability
of black hole (BH) quasinormal mode (QNM) overtones under high-frequency perturbations …

[ספר][B] Spectral theory of infinite-area hyperbolic surfaces

D Borthwick - 2007‏ - Springer
A hyperbolic surface is a surface with geometry modeled on the hyperbolic plane. Spectral
theory in this context refers generally to the Laplacian operator induced by the hyperbolic …

Mathematical study of scattering resonances

M Zworski - Bulletin of Mathematical Sciences, 2017‏ - Springer
Mathematical study of scattering resonances | Bulletin of Mathematical Sciences Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

Sum rules for Jacobi matrices and their applications to spectral theory

R Killip, B Simon - Annals of mathematics, 2003‏ - JSTOR
We discuss the proof of and systematic application of Case's sum rules for Jacobi matrices.
Of special interest is a linear combination of two of his sum rules which has strictly positive …

Pseudospectra of semi-classical (pseudo) differential operators

N Dencker, J Sjöstrand, M Zworski - arxiv preprint math/0301242, 2003‏ - arxiv.org
arxiv:math/0301242v1 [math.AP] 21 Jan 2003 Page 1 arxiv:math/0301242v1 [math.AP] 21
Jan 2003 ШЫ Э ЧЫШ ЬЪ Ч Ы ХСЙ Ф ЫЫС Ф ДШЫ Э ЧЕ С Ъ ЦЬС Ф ЧШ Ъ ЬЧЪЫ ЦСФЫ …

[ספר][B] Spectral theory of operator pencils, Hermite-Biehler functions, and their applications

M Möller, V Pivovarchik - 2015‏ - Springer
L (λ)= λnAn+ λn− 1An− 1+···+ A0,(1) where the Ak are operators acting in a Hilbert space
and λ∈ C is the spectral parameter. In the simplest case L (λ)= λI− A, where I is the identity …