Iterated function systems, moments, and transformations of infinite matrices / Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman

Auteur principal : Jørgensen, Palle E. T., 1947-, AuteurCo-auteur : Kornelson, Keri A., 1967-, Auteur • Shuman, Karen L., 1973-, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 1003Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2011Description : 1 vol. (IX-105 p.) ; 26 cmISBN: 9780821852484.ISSN: 0065-9266.Bibliographie : Bibliogr. p. 103-105.Sujet MSC : 47-02, Research exposition (monographs, survey articles) pertaining to operator theory
47Lxx, Operator theory - Linear spaces and algebras of operators
60J10, Probability theory and stochastic processes, Markov chains (discrete-time Markov processes on discrete state spaces)
60J20, Probability theory and stochastic processes, Applications of Markov chains and discrete-time Markov processes on general state spaces
28A12, Classical measure theory, Contents, measures, outer measures, capacities
34B45, Boundary value problems for ordinary differential equations, Boundary value problems on graphs and networksEn-ligne : ArXiv
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode
Monographie Monographie CMI
Salle 1 		Séries AMS (Browse shelf(Opens below)) Available 06776-01

Bibliogr. p. 103-105

The authors study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Their main object of study is the infinite matrix which encodes all the moment data of a Borel measure on ℝd or ℂ. To encode the salient features of a given IFS into precise moment data, they establish an interdependence between IFS equilibrium measures, the encoding of the sequence of moments of these measures into operators, and a new correspondence between the IFS moments and this family of operators in Hilbert space. For a given IFS, the authors' aim is to establish a functorial correspondence in such a way that the geometric transformations of the IFS turn into transformations of moment matrices, or rather transformations of the operators that are associated with them. (Source : AMS)

There are no comments on this title.

to post a comment.