Variational principle and asymptotic behavior of the density of states for random pseudodifferential operators

DOI10.1007/BF01097160zbMath0671.60062MaRDI QIDQ1119270

T. E. Bogorodskaya, Mikhail A. Shubin

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational principleeigenvalue distributionpseudodifferential operatorsoperatorSchrödingerand finite-difference selfadjoint operatorsspectral characteristic of differential

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random operators and equations (aspects of stochastic analysis) (60H25) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

The spectral asymptotics of elliptic operators of Schrödinger type on a hyperbolic space ⋮ A functional calculus of pseudodifferential operators on unimodular Lie groups ⋮ Spectral theory of random self-adjoint operators

Cites Work

• Lattices of invariant subspaces of certain operators
• On the asymptotic distribution of the eigenvalues of pseudodifferential operators in \(R^n\)
• ASYMPTOTICS OF THE DENSITY OF STATES OF HYPOELLIPTIC ALMOST PERIODIC OPERATORS
• THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
• THE INDEX OF RANDOM ELLIPTIC OPERATORS. I
• THE STATE DENSITY AND OTHER SPECTRAL INVARIANTS OF SELFADJOINT ELLIPTIC OPERATORS WITH RANDOM COEFFICIENTS
• SPECTRA OF RANDOM SELF ADJOINT OPERATORS
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