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Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory.Originally published in 1981.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Ergodic theory. --- Topological dynamics. --- Combinatorial number theory. --- Combinatorial analysis --- Number theory --- Dynamics, Topological --- Differentiable dynamical systems --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Combinatorial number theory --- Ergodic theory --- Topological dynamics --- 517.938 --- 519.218 --- 519.218 Special stochastic processes --- Special stochastic processes --- 517.938 Theory of dynamic systems --- Theory of dynamic systems --- Ergodic theory. Information theory --- Discrete mathematics --- Théorie ergodique. --- Dynamique topologique. --- Nombres, Théorie combinatoire des. --- Théorie ergodique. --- Nombres, Théorie combinatoire des.