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OverviewSeveral questions of metric number theory can be successfully handled by the application of ergodic theory. Such an application is possible if an appropriate dynamical system (called fibred system) can be constructed which displays some nice ergodic properties. In this book the basic notion of a fibred system is considered. Most of these systems are connected with f-expansions i.e. generalizations of decimal expansions and continued fractions. There is ample treatment of multidimensional continued fractions including the recent applications of subadditive ergodic theorems to Diophantine approximation. Next, basic properties like ergodicity, conservativity, and existence of invarient measures are discussed. Here several auxiliary constructions as first return map or jim transformation are useful. As a further basic tool the Ruelle-Frobenius-Perron transfer operator is considered. Full Product DetailsAuthor: Fritz SchweigerPublisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 15.00cm , Height: 2.30cm , Length: 23.00cm Weight: 0.593kg ISBN: 9780198534884ISBN 10: 0198534884 Pages: 308 Publication Date: 01 January 1995 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviews<br> Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory. The author has carried out this difficult balancing act admirably, starting with the basic unifying notion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews<br> Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory. The author has carried out this difficult balancing act admirably, starting with the basic unifying notion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory. The author has carried out this difficult balancing act admirably, starting with the basic unifying notion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory, The author has carried out this difficult balancing act admirably, starting with the basic unifying notion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory. The author has carried out this difficult balancing act admirably, starting with the basic unifyingnotion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory. The author has carried out this difficult balancing act admirably, starting with the basic unifying notion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews<br> Any attempt to write a monograph on this subject has to balance the lure of a bewildering array of disparate interesting examples against the attractions of a clean uniform presentation of theory. The author has carried out this difficult balancing act admirably, starting with the basic unifying notion of a fibred bundle....The selection of topics and wealth of examples in this book make it unique, and it is a welcome guide to the widely scattered literature. It will be useful as a reference to workers in both ergodic theory and number theory. --Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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