Absence of absolutely continuous spectrum for random scattering zippers | Zendy

Hakim Boumaza | Zendy; Laurent Marin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Absence of absolutely continuous spectrum for random scattering zippers

Author(s) -

Hakim Boumaza,

Laurent Marin

Publication year - 2015

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.4906809

Subject(s) - scattering , concatenation (mathematics) , zipper , mathematics , lyapunov exponent , spectrum (functional analysis) , operator (biology) , scattering theory , mathematical analysis , physics , quantum mechanics , combinatorics , biochemistry , chemistry , algorithm , nonlinear system , repressor , transcription factor , gene

A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator is the unitary equivalent of Jacobi matrices with matrix entries. For infinite identical events and random phases, Lyapunov exponents positivity is proved and yields to the absence of absolutely continuous spectrum.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research