ISBN: 9789048141555
This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n>=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics. Books Books ~~ Mathematics~~ Probability & Statistics ~~ General Ergodic-Theorems-for-Group-Actions~~AA-Tempelman Springer Netherlands This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics.
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Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects - gebrauchtes BuchISBN: 9789048141555
ID: 9789048141555
This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n>=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics. Books, Mathematics~~Probability & Statistics~~General, Ergodic-Theorems-for-Group-Actions~~AA-Tempelman, 999999999, Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects, A.A. Tempelman, 9048141559, Springer Netherlands, , , , , Springer Netherlands
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Informational and Thermodynamical Aspects One service mathematics has rendered the `Et moi, ... , si j`avait Sil comment en revenir, je n`y serais point aIle.` human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled `discarded non The series is divergent therefore we may be sense`. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences_ Applying a simple rewriting rule to the quote on the right above one finds such statements as: `One service topology has rendered mathematical physics .. .` `One service logic has rendered com puter science .. : `One service category theory has rendered mathematics .. .`. All arguably true. And all statements obtainable this way form part of the raison d`etre of this series. Ergodic Theorems for Group Actions: One service mathematics has rendered the `Et moi, ... , si j`avait Sil comment en revenir, je n`y serais point aIle.` human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled `discarded non The series is divergent therefore we may be sense`. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences_ Applying a simple rewriting rule to the quote on the right above one finds such statements as: `One service topology has rendered mathematical physics .. .` `One service logic has rendered com puter science .. : `One service category theory has rendered mathematics .. .`. All arguably true. And all statements obtainable this way form part of the raison d`etre of this series., Springer
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ISBN: 9789048141555
ID: 978904814155
This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics. A.A. Tempelman, Books, Science and Nature, Ergodic Theorems for Group Actions: Informational and Thermodynamical Aspects Books>Science and Nature, Springer Netherlands
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2010, ISBN: 9048141559
ID: 10071051408
[EAN: 9789048141555], Neubuch, [PU: Springer Dez 2010], This item is printed on demand - Print on Demand Titel. Neuware - This volume is devoted to generalizations of the classical Birkhoff and von Neuman ergodic theorems to semigroup representations in Banach spaces, semigroup actions in measure spaces, homogeneous random fields and random measures on homogeneous spaces. The ergodicity, mixing and quasimixing of semigroup actions and homogeneous random fields are considered as well. In particular homogeneous spaces, on which all homogeneous random fields are quasimixing are introduced and studied (the n-dimensional Euclidean and Lobachevsky spaces with n=2, and all simple Lie groups with finite centre are examples of such spaces. Also dealt with are applications of general ergodic theorems for the construction of specific informational and thermodynamical characteristics of homogeneous random fields on amenable groups and for proving general versions of the McMillan, Breiman and Lee-Yang theorems. A variational principle which characterizes the Gibbsian homogeneous random fields in terms of the specific free energy is also proved. The book has eight chapters, a number of appendices and a substantial list of references. For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics. 420 pp. Englisch
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Titel: | Ergodic Theorems for Group Actions |
ISBN-Nummer: | 9048141559 |
Detailangaben zum Buch - Ergodic Theorems for Group Actions
EAN (ISBN-13): 9789048141555
ISBN (ISBN-10): 9048141559
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag GmbH
420 Seiten
Gewicht: 0,631 kg
Sprache: eng/Englisch
Buch in der Datenbank seit 30.03.2012 06:16:55
Buch zuletzt gefunden am 11.09.2016 13:56:48
ISBN/EAN: 9048141559
ISBN - alternative Schreibweisen:
90-481-4155-9, 978-90-481-4155-5
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