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, hom… More...

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. Trade Books>Trade Paperback>Science>Statistics & Probability>Statistics & Probability, Springer Netherlands Core >1<

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, hom… More...

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 emn/em-dimensional Euclidean and Lobachevsky spaces with emn/em=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. br/ For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics. br/ Bücher > Fremdsprachige Bücher > Englische Bücher 235 x 155 x 22 mm , Springer Netherland, Taschenbuch, Springer Netherland<

2010, 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, hom… More...

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 emn/em-dimensional Euclidean and Lobachevsky spaces with emn/em=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. br/ For researchers whose works involves probability theory, ergodic theory, harmonic analysis, measure theory and statistical Physics. br/ Buch (fremdspr.) A.A. Tempelman Taschenbuch, Springer Netherland, 15.12.2010, Springer Netherland, 2010<

2010, ISBN: 9048141559

[EAN: 9789048141555], Neubuch, [SC: 21.64], [PU: Springer Netherlands], MAXIMA; PROBABILITY THEORY; HARMONIC ANALYSIS; MEASURE STATISTICAL PHYSICS, Druck auf Anfrage Neuware - One service… More...

[EAN: 9789048141555], Neubuch, [SC: 21.64], [PU: Springer Netherlands], MAXIMA; PROBABILITY THEORY; HARMONIC ANALYSIS; MEASURE STATISTICAL PHYSICS, Druck auf Anfrage Neuware - 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. 420 pp. Englisch, Books<

ISBN: 9789048141555

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 bel… More...

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 by A. A. Tempelman Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Probability & Statistics P10117, A.A. Tempelman<