Spectral statistics of non-selfadjoint operators subject to small random perturbations

Vogel, Martin

doi:10.5802/slsedp.113

Séminaire Laurent Schwartz — EDP Et Applications

2017

DOI: 10.5802/slsedp.113

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Spectral statistics of non-selfadjoint operators subject to small random perturbations

Martin Vogel¹

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Cited by 2 publications

References 31 publications

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Pseudospectrum and binary black hole merger transients

Jaramillo

2022

Class. Quantum Grav.

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The merger phase of binary black hole coalescences is a transient between an initial oscillating regime (inspiral) and a late exponentially damped phase (ringdown). In spite of the non-linear character of Einstein equations, the merger dynamics presents a surprisingly simple behaviour consistent with effective linearity. On the other hand, energy loss through the event horizon and by scattering to inﬁnity renders the system non-conservative. Hence, the inﬁnitesimal generator of the (effective) linear dynamics is a non-selfadjoint operator. Qualitative features of transients in linear dynamics driven by non-selfadjoint (in general, non-normal) operators are captured by the pseudospectrum of the time generator. We propose the pseudospectrum as a unifying framework to thread together the phases of binary black hole coalescences, from the inspiral-merger transition up to the late quasinormal mode ringdown.

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Pseudospectrum and binary black hole merger transients

Jaramillo

2022

Class. Quantum Grav.

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Pseudospectrum and Black Hole Quasinormal Mode Instability

2021

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Spectral statistics of non-selfadjoint operators subject to small random perturbations

Cited by 2 publications

References 31 publications

Pseudospectrum and binary black hole merger transients

Pseudospectrum and binary black hole merger transients

Pseudospectrum and Black Hole Quasinormal Mode Instability

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