From dynamical systems to commutativity in non-commutative operator algebras
(2003) Workshop Dynamical Systems from Number Theory to Probability 2 In Series: Mathematical Modelling in Physics, Engineering and Cognitive Science. 6. p.109-143- Abstract
- 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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/627367
- author
- Persson, Tomas ^{LU} and Silvestrov, Sergei ^{LU}
- organization
- publishing date
- 2003
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- in
- Series: Mathematical Modelling in Physics, Engineering and Cognitive Science.
- editor
- Khrennikov, Andrei and
- volume
- 6
- pages
- 35 pages
- publisher
- Växjö University Press
- conference name
- Workshop Dynamical Systems from Number Theory to Probability 2
- ISSN
- 1651-0267
- ISBN
- 91-7636-386-4
- project
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
- language
- English
- LU publication?
- yes
- id
- 1233ebad-9339-4933-b4bc-88053c50ce13 (old id 627367)
- date added to LUP
- 2008-01-22 12:06:30
- date last changed
- 2018-05-29 11:13:39
@inproceedings{1233ebad-9339-4933-b4bc-88053c50ce13, abstract = {This article is devoted to investigation of connection of operator representations of commutation relations<br/><br> 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 <br/><br> beta-shift dynamical system.}, author = {Persson, Tomas and Silvestrov, Sergei}, booktitle = {Series: Mathematical Modelling in Physics, Engineering and Cognitive Science.}, editor = {Khrennikov, Andrei}, isbn = {91-7636-386-4}, issn = {1651-0267}, language = {eng}, pages = {109--143}, publisher = {Växjö University Press}, title = {From dynamical systems to commutativity in non-commutative operator algebras}, volume = {6}, year = {2003}, }