Beck studies the same general global questions about many-particle systems that Maxwell, Boltzmann, and Gibbs grappled with during the second half of the 19th century, but using an approach completely different from the well-known probabilistic machinery of statistical mechanics. He operates at the crossroads where number theory/uniform distribution intersects dynamical systems/quantitative ergodic theory, he says; it is pure mathematics with rigorous proofs, though he borrows some motivation and intuitions from physics and uses some probability theory. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)
It is the first book about a new aspect of Uniform distribution, called Strong Uniformity. Besides developing the theory of Strong Uniformity, the book also includes novel applications in the underdeveloped field of Large Dynamical Systems.
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