WorldCat Identities

Furstenberg, Harry

Overview
Works: 17 works in 69 publications in 3 languages and 1,940 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Honoree
Classifications: QA273, 519
Publication Timeline
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Most widely held works about Harry Furstenberg
 
Most widely held works by Harry Furstenberg
Stationary processes and prediction theory by Harry Furstenberg( Book )

25 editions published between 1960 and 2016 in 3 languages and held by 489 WorldCat member libraries worldwide

The book description for the forthcoming "Stationary Processes and Prediction Theory. (AM-44)" is not yet available
Recurrence in ergodic theory and combinatorial number theory by Harry Furstenberg( Book )

18 editions published between 1981 and 2016 in English and Undetermined and held by 437 WorldCat member libraries worldwide

Ergodic theory and fractal geometry by Harry Furstenberg( Book )

10 editions published in 2014 in English and Undetermined and held by 190 WorldCat member libraries worldwide

Fractals are beautiful and complex geometric objects. Their study, pioneered by Benoît Mandelbrot, is of interest in mathematics, physics and computer science. Their inherent structure, based on their self-similarity, makes the study of their geometry amenable to dynamical approaches. In this book, a theory along these lines is developed by Hillel Furstenberg, one of the foremost experts in ergodic theory, leading to deep results connecting fractal geometry, multiple recurrence, and Ramsey theory. In particular, the notions of fractal dimension and self-similarity are interpreted in terms of e
Disjointness in ergodic theory, minimal sets and a problem in diophantine approximation by Harry Furstenberg( Book )

2 editions published in 1965 in English and held by 4 WorldCat member libraries worldwide

Investigations in harmonic analysis, ergodic theory, and related topics in analysis( Book )

2 editions published between 1970 and 1971 in English and held by 2 WorldCat member libraries worldwide

The report describes problems belonging to classical Fourier analysis. These involve properties of certain Banach spaces of functions on the circle which are defined in terms of the Fourier series of the functions. Harmonic analysis is also used to sharpen a theorem in ergodic theory. The main result proved is that any ergodic automorphism of the torus is measure-theoretically isomorphic to a Bernoulli shift. This was known to be true under added conditions on the eigenvalues of the automorphism. The original methods depended heavily on the geometry of the torus and did not lend themselves to generalization to other compact abelian groups. The present method is more powerful and should generalize to other groups. The authors also use notions of ergodic theory as a tool in group theory. A group is studied in terms of the manner in which it can act on a compact space. These notions are useful in the theory of discrete subgroups of a Lie group. Finally, the authors consider the regularity of solutions to elliptic differential equations. (Author)
(No title)( Book )

1 edition published in 1963 in English and held by 1 WorldCat member library worldwide

A number of problems in Functional Analysis, Integration in Function Space, Stochastic Processes and related areas have been studied and several papers have been written. (Author)
Seminar in Geometric Rigidity, 1992-93 : lecture notes by Seminar in Geometric Rigidity( Book )

1 edition published in 1993 in English and held by 1 WorldCat member library worldwide

Dynamical methods in ramsey theory by Harry Furstenberg( Book )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Functional analysis and stochastic processes( Book )

1 edition published in 1969 in English and held by 1 WorldCat member library worldwide

Research was continued in the areas of Wiener and Feynman integrals, analytic functions of several complex variables, ergodic theory, and Markov and other stochastic processes. (Author)
Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions by Harry Furstenberg( Book )

1 edition published in 1976 in English and held by 1 WorldCat member library worldwide

Prediction theory by Harry Furstenberg( )

1 edition published in 1958 in English and held by 1 WorldCat member library worldwide

On the existence of isometric extensions by Harry Furstenberg( Book )

1 edition published in 1977 in English and held by 1 WorldCat member library worldwide

Die Lebensgeschichte eines deutschen Bankiers 1870-1914. Hrsg. von seinem Sohn H. Fürstenberg. Mit 16 Taf. und 3 Fak by Carl Fürstenberg( Book )

1 edition published in 1931 in German and held by 1 WorldCat member library worldwide

Proceedings of the Israel mathematical Union Conference, beer Sheva, 1993 by Igud ha-Yiśreʼeli le-matemaṭiḳah( Book )

1 edition published in 1993 in English and held by 1 WorldCat member library worldwide

 
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Audience level: 0.47 (from 0.23 for Recurrence ... to 1.00 for Investigat ...)

Stationary processes and prediction theory
Alternative Names
Furstenberg, H.

Furstenberg, Harry

Furstenberg Harry 1935-....

Furstenberg, Hillel.

Furstenberg, Hillel 1935-

Hilel Fürstenberg

Hillel Furstenberg

Hillel Fürstenberg israelischer Mathematiker

Hillel Furstenberg matematico israeliano

Hillel Furstenberg Mathematician

Hillel Furstenberg wiskundige uit Israël

הלל פורסטנברג

힐렐 퓌르스텐베르크

ヒレル・ファステンバーグ

哈里·弗斯騰伯格

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