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Scalar QNM spectra of Kerr and Reissner-Nordström revealed by eigenvalue repulsions in Kerr-Newman
Recent studies of the gravito-electromagnetic frequency spectra of Kerr-Newman (KN) black holes have revealed two families of quasinormal modes...
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Existence of Absolutely Continuous Spectrum for Galton–Watson Random Trees
We establish a quantitative criterion for an operator defined on a Galton–Watson random tree for having an absolutely continuous spectrum. For the...
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On the spectrum of the differential operators of even order with periodic matrix coefficients
In this paper, we consider the band functions, Bloch functions and spectrum of the self-adjoint differential operator L with periodic matrix...
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Large black hole entropy from the giant brane expansion
We show that the Bekenstein-Hawking entropy of large supersymmetric black holes in AdS 5 × S 5 emerges from remarkable cancellations in the giant...
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On the Spectrum of Relaxation Times of Coupled Diffusion and Rheological Processes in Media with Microstructure
The effective diffusion and viscous linear coefficients is studied for the coupled set of equations with incorporating the processes of...
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Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study
The frequency spectra of the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole with the slowest decay rate have been computed...
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Perturbations of the Landau Hamiltonian: Asymptotics of Eigenvalue Clusters
We consider the asymptotic behavior of the spectrum of the Landau Hamiltonian plus a short-range continuous potential. The spectrum of the operator...
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The reflected entanglement spectrum for free fermions
We consider the reflected entropy and the associated entanglement spectrum for free fermions reduced to two intervals in 1 + 1 dimensions. Working...
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Eigenvalue Fluctuations for Random Elliptic Operators in Homogenization Regime
This work is devoted to the asymptotic behavior of eigenvalues of an elliptic operator with rapidly oscillating random coefficients on a bounded...
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Asymptotic states for kink–meson scattering
The definition of a quantum state corresponding to a wave packet far from a global soliton is considered. We define an asymptotic quantum state...
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Spectral flow of vortex shape modes over the BPS 2-vortex moduli space
The flow of shape eigenmodes of the small fluctuation operator around BPS 2-vortex solutions is calculated, as a function of the intervortex...
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Asymptotic Degeneracies of M2-Brane SCFTs
We study the asymptotic growth of the degeneracy of the BPS local operators with scaling dimension n /2 in the three-dimensional superconformal field...
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The spectral geometry of de Sitter space in asymptotic safety
Within the functional renormalization group approach to Background Independent quantum gravity, we explore the scale dependent effective geometry of...
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On the Point Spectrum in the Ekman Boundary Layer Problem
New eigenvalue enclosures for the block operator problem arising in the study of stability of the Ekman boundary layer are proved. This solves an...
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Phonons and Vibrational Spectrum
In Chap. 4 , we considered how elastic (acoustic) waves propagate through an isotropic amorphous solid, and...