It takes the average reader 6 hours and 53 minutes to read Ergodic Theorems for Group Actions by A.A. Tempelman
Assuming a reading speed of 250 words per minute. Learn 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.
Ergodic Theorems for Group Actions by A.A. Tempelman is 399 pages long, and a total of 103,341 words.
This makes it 135% the length of the average book. It also has 126% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 24 minutes to read Ergodic Theorems for Group Actions aloud.
Ergodic Theorems for Group Actions is suitable for students ages 12 and up.
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