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
.
Most widely held works about
Harry Furstenberg
 Generalizations of Furstenberg's diophantine result by Asaf Katz( Book )
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. (AM44)" is not yet available
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. (AM44)" 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
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 selfsimilarity, 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 selfsimilarity are interpreted in terms of e
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 selfsimilarity, 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 selfsimilarity 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
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 measuretheoretically 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)
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 measuretheoretically 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)
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, 199293 : lecture notes by Seminar in Geometric Rigidity(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
Special volumes in honor of Hillel Furstenberg : following a conference Probability in mathematics held at the Hebrew University
of Jerusalem, June 17  19, 2003 and BenGurion University of the Negev, June 22  24, 2003(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 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
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Special volumes in honor of Hillel Furstenberg : following a conference Probability in mathematics held at the Hebrew University
of Jerusalem, June 17  19, 2003 and BenGurion University of the Negev, June 22  24, 2003(
Book
)
1 edition published in 2005 in English and held by 1 WorldCat member library worldwide
1 edition published in 2005 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)
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
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
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
1 edition published in 1977 in English and held by 1 WorldCat member library worldwide
Die Lebensgeschichte eines deutschen Bankiers 18701914. 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
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 haYiśreʼeli lematemaṭiḳah(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
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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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