Contemporary Mathematics 1984; 432 pp; softcover Volume: 26 Reprint/Revision History: reprinted 1991 ISBN10: 082185030X ISBN13: 9780821850305 List Price: US$60 Member Price: US$48 Order Code: CONM/26
 An NSFsupported conference in honor of Professor Shizuo Kakutani was held on June 811, 1982, at Yale University, on the occasion of Kakutani's retirement. The three major areas of mathematics on which the conference focused were functional analysis, probability theory, and ergodic theory. Most of the articles presented were works by the respective authors on problems that were pioneered by Professor Kakutani in the past. Questions in Brownian motion, induced transformations, representation of \(M\)spaces, and fixed point theorems were discussed. Table of Contents  R. L. Adler and L. Flatto  Cross section map for the geodesic flow on the modular surface
 M. A. Akcoglu and L. Sucheston  On identification of superadditive ergodic limits
 J. R. Baxter and R. V. Chacon  The equivalence of diffusions on networks to Brownian motion
 A. Bellow and V. Losert  On sequences of density zero in ergodic theory
 J. van den Berg and M. Keane  On the continuity of the percolation probability function
 F. E. Browder  Coincidence theorems, minimax theorems, and variational inequalities
 J. R. Choksi  Recent developments arising out of Kakutani's work on completion regularity of measure
 J. R. Choksi and S. J. Eigen  An automorphism of a homogeneous measure algebra which does not factorize into a direct product
 D. I. A. Cohen  Another generalization of the Brouwer fixed point theorem
 Y. N. Dowker  An ergodic theorem
 N. A. Friedman  Higher order partial mixing
 H. Furstenberg  \(IP\)systems in ergodic theory
 A. Hajian and Y. Ito  Induced transformations on a section
 E. Hewitt  Conjugate Fourier series on the character group of the additive rationals
 K. Itô  A stochastic differential equation in infinite dimensions
 K. Jacobs  Ergodic theory and combinatorics
 W. B. Johnson and J. Lindenstrauss  Extensions of Lipschitz mappings into a Hilbert space
 R. R. Kallman  A uniqueness result for a class of compact connected groups
 L. A. Karlovitz  Two extremal properties of functions
 R. Kaufman  On Bernoulli convolutions
 H. B. Keynes and M. G. Nerurkar  Generic theorems for lifting dynamical properties by continuous affine cocyles
 B. Kitchens  Linear algebra and subshifts of finite type
 A. Lo Bello  The etymology of the word ergodic
 P. A. Loeb  A functional approach to nonstandard measure theory
 D. Maharam  On positive operators
 B. Marcus, K. Petersen, and S. Williams  Transmission rates and factors of Markov chains
 I. Namioka  Ellis groups and compact right topological groups
 W. Parry and K. Schmidt  Invariants of finitary isomorphisms with finite expected codelengths
 M. Ratner  Ergodic theory in hyperbolic space
 H. P. Rosenthal  Embedding of \(L^1\) in \(L^1\)
 D. J. Rudolph  Inner and barely linear time changes of ergodic \(R^k\)actions
 M. J. Sharpe  Processes evolving from the indefinite past
 E. G. F. Thomas  An infinitesimal characterization of Gelfand pairs
 N. Tongring  Multiple points of Brownian motion
 B. Weiss  Measurable dynamics
 K. Yosida and S. Matsuura  A note on Mikusiński's proof of the Titchmarsh convolution theorem
 R. J. Zimmer  Ergodic actions of arithmetic groups and the KakutaniMarkov fixed point theorem
