About a result of S.M. Kozlov

2004/12/03 by Hatem Najar, Najar, Hatem
Computer Science · Mathematics · Physics and Astronomy · #35P05 #37A30 #47F05 #81Q10 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:35P05 #msc:37A30 #msc:47F05 #msc:81Q10

paper · pdf · doi:10.48550/arxiv.math-ph/0412012

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arxiv created 2004/12/03 · openalex publication_date 2004/12/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an alternative proof and improve upon a result of S.M. Kozlov \citeko. It deals with the asymptotic of the integrated density of states of the acoustic operator H_ω=-∇ρ_ω∇, at the bottom of the spectrum.

Related

• Results dealing with the behavior of the integrated density of states of random divergence operators
• The landscape law for the integrated density of states
• The density of states depends on the domain
• Lifshitz tails estimate for the density of states of the Anderson model
• The spectral density of a product of spectral projections