Parry, William,
Classification Problems in Ergodic Theory / William Parry, Selim Tuncel. - Cambridge : Cambridge University Press, 1982. - 1 online resource (112 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 67 . - London Mathematical Society Lecture Note Series ; no. 67. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest.
9780511629389 (ebook)
Ergodic theory
Isomorphisms (Mathematics)
QA313 / .P368 1982
515.4/2
Classification Problems in Ergodic Theory / William Parry, Selim Tuncel. - Cambridge : Cambridge University Press, 1982. - 1 online resource (112 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 67 . - London Mathematical Society Lecture Note Series ; no. 67. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest.
9780511629389 (ebook)
Ergodic theory
Isomorphisms (Mathematics)
QA313 / .P368 1982
515.4/2