It takes the average reader 1 hour and 48 minutes to read Local Entropy Theory of a Random Dynamical System by Anthony H. Dooley
Assuming a reading speed of 250 words per minute. Learn more
In this paper the authors extend the notion of a continuous bundle random dynamical system to the setting where the action of R or N is replaced by the action of an infinite countable discrete amenable group. Given such a system, and a monotone sub-additive invariant family of random continuous functions, they introduce the concept of local fiber topological pressure and establish an associated variational principle, relating it to measure-theoretic entropy. They also discuss some variants of this variational principle. The authors introduce both topological and measure-theoretic entropy tuples for continuous bundle random dynamical systems, and apply variational principles to obtain a relationship between these of entropy tuples. Finally, they give applications of these results to general topological dynamical systems, recovering and extending many recent results in local entropy theory.
Local Entropy Theory of a Random Dynamical System by Anthony H. Dooley is 106 pages long, and a total of 27,136 words.
This makes it 36% the length of the average book. It also has 33% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 28 minutes to read Local Entropy Theory of a Random Dynamical System aloud.
Local Entropy Theory of a Random Dynamical System is suitable for students ages 10 and up.
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