From dynamical systems to commutativity in non-commutative operator algebras

Tomas Persson, Sergei Silvestrov

Forskningsoutput: Kapitel i bok/rapport/Conference proceedingKonferenspaper i proceedingPeer review

Sammanfattning

This article is devoted to investigation of connection of operator representations of commutation relations
XX*=F(X*X) and AB = BF(A) to periodic points and orbits of the dynamical system generated by the function F. Conditions on the general function F for two monomials in operators A and B to commute are derived. These conditions are further studied for dynamical systems generated by affine and q-deformed power functions, and for the
beta-shift dynamical system.
Originalspråkengelska
Titel på värdpublikationSeries: Mathematical Modelling in Physics, Engineering and Cognitive Science.
RedaktörerAndrei Khrennikov
FörlagVäxjö University Press
Sidor109-143
Antal sidor35
Volym6
ISBN (tryckt)91-7636-386-4
StatusPublished - 2003
EvenemangWorkshop Dynamical Systems from Number Theory to Probability 2 - Växjö University, Växjö, Sverige
Varaktighet: 2002 dec. 6 → …

Publikationsserier

Namn
Volym6
ISSN (tryckt)1651-0267

Konferens

KonferensWorkshop Dynamical Systems from Number Theory to Probability 2
Land/TerritoriumSverige
OrtVäxjö University, Växjö
Period2002/12/06 → …

Ämnesklassifikation (UKÄ)

  • Matematik

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