Single-particle MSA techniques

Victor Chulaevsky, Yuri Suhov

Research output: Chapter in Book/Report/Conference proceedingChapter


Chapter 2 prepares the ground for the analysis of interacting particle systems carried out in Part II. The authors introduce here the principal technical tools of the single-particle multi-scale analysis (MSA), developed over the last thirty years by the mathematical community. The analytical tools of the so-called variable-energy MSA, developed in late 1980s, are streamlined and complemented by a simpler, fixed-energy approach. A simple and comprehensive derivation of the spectral and strong dynamical localization from the fixed-energy MSA, suitable for adaptations to interacting systems, is presented for the first time in mathematical literature.

Original languageEnglish (US)
Title of host publicationProgress in Mathematical Physics
PublisherBirkhauser Boston
Number of pages107
StatePublished - 2014

Publication series

NameProgress in Mathematical Physics
ISSN (Print)1544-9998

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics


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