An NSF-supported conference in honor of Professor Shizuo Kakutani was held on June 8-11, 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.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
ISBN-13
978-0-8218-5030-5 (9780821850305)
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Schweitzer Klassifikation
Cross section map for the geodesic flow on the modular surface by R. L. Adler and L. Flatto On identification of superadditive ergodic limits by M. A. Akcoglu and L. Sucheston The equivalence of diffusions on networks to Brownian motion by J. R. Baxter and R. V. Chacon On sequences of density zero in ergodic theory by A. Bellow and V. Losert On the continuity of the percolation probability function by J. van den Berg and M. Keane Coincidence theorems, minimax theorems, and variational inequalities by F. E. Browder Recent developments arising out of Kakutani's work on completion regularity of measure by J. R. Choksi An automorphism of a homogeneous measure algebra which does not factorize into a direct product by J. R. Choksi and S. J. Eigen Another generalization for the Brouwer fixed point theorem by D. I. A. Cohen An ergodic theorem by Y. N. Dowker Higher order partial mixing by N. A. Friedman $IP$-systems in ergodic theory by H. Furstenberg Induced transformations on a section by A. Hajian and Y. Ito Conjugate Fourier series on the character group of the additive rationals by E. Hewitt A stochastic differential equation in infinite dimensions by K. Ito Ergodic theory and combinatorics by K. Jacobs Extensions of Lipschitz mappings into a Hilbert space by W. B. Johnson and J. Lindenstrauss A uniqueness result for a class of compact connected groups by R. R. Kallman Two extremal properties of functions by L. A. Karlovitz On Bernoulli convolutions by R. Kaufman Generic theorems for lifting dynamical properties by continuous affine cocyles by H. B. Keynes and M. G. Nerurkar Linear algebra and subshifts of finite type by B. Kitchens The etymology of the word ergodic by A. Lo Bello A functional approach to nonstandard measure theory by P. A. Loeb On positive operators by D. Maharam Transmission rates and factors of Markov chains by B. Marcus, K. Petersen, and S. Williams Ellis groups and compact right topological groups by I. Namioka Invariants of finitary isomorphisms with finite expected code-lengths by W. Parry and K. Schmidt Ergodic theory in hyperbolic space by M. Ratner Embedding of $L^1$ in $L^1$ by H. P. Rosenthal Inner and barely linear time changes of ergodic $R^-k$-actions by D. J. Rudolph Processes evolving from the indefinite past by M. J. Sharpe An infinitesimal characterization of Gelfand pairs by E. G. F. Thomas Multiple points of Brownian motion by N. Tongring Measurable dynamics by B. Weiss A note on Mikusinski's proof of the Titchmarsh convolution theorem by K. Yosida and S. Matsuura Ergodic actions of arithmetic groups and the Kakutani-Markov fixed point theorem by R. J. Zimmer.
