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, to preserve the original texts of these important books while presenting them in durable paperback editions.Expand

The objects of ergodic theory -measure spaces with measure-preserving transformation groups- will be called processes, those of topological dynamics-compact metric spaces with groups of homeomorphisms-will be called flows, and what may be termed the "arithmetic" of these classes of objects is concerned.Expand

Introduction. Let Xy,X2, ■■-,X„,--be a sequence of independent real valued random variables with a common distribution function F(x), and consider the sums Xy + X2 + ■■• + X„. A fundamental theorem… Expand

for some bounded function h on the boundary of the disc. The function h(z) determines a function h(g) on G by setting h(g) = h(g(O)). If h(z) is harmonic, it may be shown that h(g) is annihilated by… Expand

The classical Poincar6 recurrence theorem asserts that under the action of a measure preserving transformation T of a finite measure space (X, ~, p.), every set A of positive measure recurs in the… Expand

Introduction. If T is a measure preserving transformation ofl a probability space Q with measure Iu, the ergodic theorem assures the existence N-1 almost everywhere with respect to /i of the average… Expand

In a U-shaped clip made from strip material and intended to close bags and flexible tubes, said clip comprising a web connecting two limbs having outwardly angled end lugs, the improvement which… Expand