Výsledky vyhledávání - "Davies, E. Brian"

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Spectra of a class of non-self-adjoint matrices

Autor: Davies, E. Brian, Levitin, Michael

Publikováno v: Linear Algebra and its Applications, Volume 448, Pages 55-84, 2014

We consider a new class of non-self-adjoint matrices that arise from an indefinite self-adjoint linear pencil of matrices, and obtain the spectral asymptotics of the spectra as the size of the matrices diverges to infinity. We prove that the spectrum

Externí odkaz: http://arxiv.org/abs/1311.6741

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Spectrum of a Feinberg-Zee Random Hopping Matrix

Autor: Chandler-Wilde, Simon N, Davies, E Brian

Publikováno v: Journal of Spectral Theory, 2 (2). pp. 147-179 (2012)

This paper provides a new proof of a theorem of Chandler-Wilde, Chonchaiya and Lindner that the spectra of a certain class of infinite, random, tridiagonal matrices contain the unit disc almost surely. It also obtains an analogous result for a more g

Externí odkaz: http://arxiv.org/abs/1110.0792

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C*-algebras associated with some second order differential operators

Autor: Davies, E Brian, Georgescu, Vladimir

We compare two C*-algebras that have been used to study the essential spectrum. This is done by considering a simple second order elliptic differential operator acting in L^2(R^N), which is affiliated with one or both of the algebras depending on the

Externí odkaz: http://arxiv.org/abs/1103.3880

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Non-Weyl asymptotics for quantum graphs with general coupling conditions

Autor: Davies, E. Brian, Exner, Pavel, Lipovsky, Jiri

Publikováno v: J. Phys. A: Math. Theor. 43 (2010), 474013 (16pp)

Inspired by a recent result of Davies and Pushnitski, we study resonance asymptotics of quantum graphs with general coupling conditions at the vertices. We derive a criterion for the asymptotics to be of a non-Weyl character. We show that for balance

Externí odkaz: http://arxiv.org/abs/1004.0856

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