@inbook{7eaba4050cde4b5d95a30ef31378c090,

title = "Single-particle MSA techniques",

abstract = "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.",

author = "Victor Chulaevsky and Yuri Suhov",

note = "Publisher Copyright: {\textcopyright} 2014, Springer Science+Business Media New York.",

year = "2014",

doi = "10.1007/978-1-4614-8226-0_2",

language = "English (US)",

series = "Progress in Mathematical Physics",

publisher = "Birkhauser Boston",

pages = "27--133",

booktitle = "Progress in Mathematical Physics",

address = "United States",

}