Verwandte Artikel zu Dynamical Systems of Algebraic Origin (Progress in...
Inhaltsangabe
Although the study of dynamical systems is mainly concerned with single trans formations and one-parameter flows (i. e. with actions of Z, N, JR, or JR+), er godic theory inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multi-dimensional sym metry groups. However, the wealth of concrete and natural examples, which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. A remarkable exception is provided by a class of geometric actions of (discrete subgroups of) semi-simple Lie groups, which have led to the discovery of one of the most striking new phenomena in multi-dimensional ergodic theory: under suitable circumstances orbit equivalence of such actions implies not only measurable conjugacy, but the conjugating map itself has to be extremely well behaved. Some of these rigidity properties are inherited by certain abelian subgroups of these groups, but the very special nature of the actions involved does not allow any general conjectures about actions of multi-dimensional abelian groups. Beyond commuting group rotations, commuting toral automorphisms and certain other algebraic examples (cf. [39]) it is quite difficult to find non-trivial smooth Zd-actions on finite-dimensional manifolds. In addition to scarcity, these examples give rise to actions with zero entropy, since smooth Zd-actions with positive entropy cannot exist on finite-dimensional, connected manifolds. Cellular automata (i. e.
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
Although the study of dynamical systems is mainly concerned with single trans formations and one-parameter flows (i. e. with actions of Z, N, JR, or JR+), er godic theory inherits from statistical mechanics not only its name, but also an obligation to analyze spatially extended systems with multi-dimensional sym metry groups. However, the wealth of concrete and natural examples, which has contributed so much to the appeal and development of classical dynamics, is noticeably absent in this more general theory. A remarkable exception is provided by a class of geometric actions of (discrete subgroups of) semi-simple Lie groups, which have led to the discovery of one of the most striking new phenomena in multi-dimensional ergodic theory: under suitable circumstances orbit equivalence of such actions implies not only measurable conjugacy, but the conjugating map itself has to be extremely well behaved. Some of these rigidity properties are inherited by certain abelian subgroups of these groups, but the very special nature of the actions involved does not allow any general conjectures about actions of multi-dimensional abelian groups. Beyond commuting group rotations, commuting toral automorphisms and certain other algebraic examples (cf. [39]) it is quite difficult to find non-trivial smooth Zd-actions on finite-dimensional manifolds. In addition to scarcity, these examples give rise to actions with zero entropy, since smooth Zd-actions with positive entropy cannot exist on finite-dimensional, connected manifolds. Cellular automata (i. e.
Reseña del editor
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1994.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
Weitere beliebte Ausgaben desselben Titels
Suchergebnisse für Dynamical Systems of Algebraic Origin (Progress in...
Beispielbild für diese ISBN
Dynamical Systems of Algebraic Origin
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 758841/202
Anzahl: 2 verfügbar
Beispielbild für diese ISBN
Dynamical Systems of Algebraic Origin
Anbieter: Buchpark, Trebbin, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher. Bestandsnummer des Verkäufers 758841/2
Anzahl: 1 verfügbar
Foto des Verkäufers
Dynamical systems of algebraic origin. Progress in mathematics; 128.
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01617 9783764351748 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2485490
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Dynamical Systems of Algebraic Origin
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:9783764351748. Bestandsnummer des Verkäufers 5579562
Anzahl: 1 verfügbar
Foto des Verkäufers
Dynamical systems of algebraic origin. Progress in mathematics ; Vol. 128
Anbieter: books4less (Versandantiquariat Petra Gros GmbH & Co. KG), Welling, Deutschland
Verkäuferbewertung 5 von 5 Sternen
gebundene Ausgabe. Zustand: Gut. XVIII, 310 Seiten; Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 680. Bestandsnummer des Verkäufers 2125733
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Dynamical Systems of Algebraic Origin (Progress in Mathematics - Volume 128)
Verlag:
Basel & Boston: Birkhäuser Verlag, 1995
ISBN 10: 3764351748
ISBN 13: 9783764351748
Gebraucht
Hardcover
Erstausgabe
Anbieter: Betterbks/ COSMOPOLITAN BOOK SHOP, Burbank, CA, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Near Fine. No Jacket. 1st Edition. Octavo bound in green cloth. Condition: author's name inked on bottom edge of book block; minor bumping to upper corners; else near fine. 310 pages. Bestandsnummer des Verkäufers 301072
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Dynamical Systems of Algebraic Origin (Progress in Mathematics)
Anbieter: Mispah books, Redhill, SURRE, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
hardcover. Zustand: Very Good. Very Good. book. Bestandsnummer des Verkäufers ERICA82937643517484
Anzahl: 1 verfügbar