SU\G(𝔸)/K·U

Author Description

Harry Furstenberg is the informal/anglicized name sometimes used for Hillel Furstenberg (born in 1935), an Israeli-American mathematician renowned for his groundbreaking work in several areas of mathematics, including:

• Ergodic theory
• Topological dynamics
• Probability theory
• Number theory

Furstenberg’s ideas have been deeply influential, especially his techniques that bridged seemingly unrelated areas of mathematics. For instance, he provided a topological and ergodic-theoretic proof of the infinitude of primes, illustrating powerful connections between number theory and dynamical systems. Over his career, he has received prestigious awards such as the Israel Prize (1993), the Wolf Prize in Mathematics (1993), and the Abel Prize (2020). Furstenberg spent much of his academic life at the Hebrew University of Jerusalem, and his work continues to shape modern mathematical research in multiple fields.

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All published works (20)

Action Title Date Authors
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Rigidity and cocycles for ergodic actions of semi-simple lie groups 2006-11-24 Harry Furstenberg
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Poincaré recurrence and number theory 1983-01-01 Harry Furstenberg
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Recurrence in Ergodic Theory and Combinatorial Number Theory 1981-12-31 Harry Furstenberg
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Poincaré recurrence and number theory 1981-01-01 Harry Furstenberg
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Random Walks on Lie Groups 1980-01-01 Harry Furstenberg
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On the Existence of Isometric Extensions 1978-12-01 Harry Furstenberg Shmuel Glasner
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Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions 1977-12-01 Harry Furstenberg
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A note on Borel’s density theorem 1976-02-01 Harry Furstenberg
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A Note on Borel's Density Theorem 1976-02-01 Harry Furstenberg
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Prime flows in topological dynamics 1973-03-01 Harry Furstenberg Harvey B. Keynes Leonard Shapiro
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Boundary theory and stochastic processes on homogeneous spaces 1973-01-01 Harry Furstenberg
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Spherical functions and integral geometry 1971-09-01 Harry Furstenberg Isaac Tzkoni
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Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation 1967-03-01 Harry Furstenberg
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Poisson boundaries and envelopes of discrete groups 1967-01-01 Harry Furstenberg
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Translation-invariant cones of functions on semi-simple lie groups 1965-01-01 Harry Furstenberg
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A Poisson Formula for Semi-Simple Lie Groups 1963-03-01 Harry Furstenberg
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Noncommuting random products 1963-01-01 Harry Furstenberg
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CHAPTER 6. STATISTICAL PREDICTABILITY 1960-12-31 Harry Furstenberg
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On the Infinitude of Primes 1955-05-01 Harry Furstenberg
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Note on One Type of Indeterminate Form 1953-12-01 Harry Furstenberg

Common Coauthors

Coauthor Papers Together
Isaac Tzkoni 1
Shmuel Glasner 1
Harvey B. Keynes 1
Leonard Shapiro 1

Commonly Cited References

Action Title Date Authors # of times referenced
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A Poisson Formula for Semi-Simple Lie Groups 1963-03-01 Harry Furstenberg 6
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Density Properties for Certain Subgroups of Semi-Simple Groups Without Compact Components 1960-07-01 Armand Borel 3
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Ergodicity of Flows on Homogeneous Spaces 1966-01-01 Calvin C. Moore 2
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Sur les représentations induites des groupes de Lie 1956-01-01 François Bruhat 2
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Flows on Homogeneous Spaces. 1964-06-01 Robert Ellis L. Auslander L. Green F. Hahn Lawrence Markus William S. Massey Leon A. Greenberg 2
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Topological dynamics and combinatorial number theory 1978-12-01 Hillel Fürstenberg Bernard Weiss 2
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Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions 1977-12-01 Harry Furstenberg 2
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Compactifications of Symmetric Spaces 1964-01-01 Calvin C. Moore 2
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On sets of integers containing k elements in arithmetic progression 1975-01-01 Endre Szemerédi 2
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Noncommuting random products 1963-01-01 Harry Furstenberg 2
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Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$ 1964-05-01 Hyman Bass Michel Lazard J-P. Serre 1
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The structure of weakly mixing minimal transformation groups 1971-09-01 Harvey B. Keynes 1
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Probability Measures on Locally Compact Groups 1977-01-01 Herbert Heyer 1
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Weak disjointness of transformation groups 1972-05-01 Reuven Peleg 1
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Le théorème de représentation intégrale dans les ensembles convexes compacts 1960-01-01 Gustave Choquet 1
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On Groups of Measure Preserving Transformations. I 1959-01-01 Heather A. Dye 1
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Amenable ergodic group actions and an application to Poisson boundaries of random walks 1978-03-01 Robert J. Zimmer 1
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Relatively invariant measures 1975-06-01 Shmuel Glasner 1
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Relativized weak disjointness and relatively invariant measures 1978-01-01 Douglas McMahon 1
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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY 1977-08-31 Ya. B. Pesin 1
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Th�or�me de la limite centrale sur les groupes nilpotents 1978-01-01 Albert Raugi 1
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Some Theorems of the Type of the Strong Law of Large Numbers 1969-01-01 V. N. Tutubalin 1
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PROBABILITIES ON LIE GROUPS 1962-05-01 Donald Wehn 1
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A theory of spherical functions. I 1952-01-01 Roger Godement 1
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The Central Limit Theorem for Random Motions of $d$-Dimensional Euclidean Space 1973-08-01 Luis G. Gorostiza 1
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Large Deviations of Sums of Independent Random Variables 1979-10-01 S. V. Nagaev 1
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A Local Limit Theorem for Nonlattice Multi-Dimensional Distribution Functions 1965-04-01 Charles J. Stone 1
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Compositions of Measures on the Simplest Nilpotent Group 1964-01-01 V. N. Tutubalin 1
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Minimally Almost Periodic Groups 1993-01-01 John von Neumann E. P. Wigner 1
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Symmetric random walks on groups 1959-01-01 Harry Kesten 1
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Some remarks on gaussian distributions on a lie group 1974-01-01 Donald Wehn 1
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Groups of polynomial growth and expanding maps 1981-12-01 Mikhael Gromov 1
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On a class of recurrent sequences 1937-01-01 Herbert Robbins 1
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Translation-invariant cones of functions on semi-simple lie groups 1965-01-01 Harry Furstenberg 1
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Weakly wandering vectors and weakly independent partitions 1972-01-01 Ulrich Krengel 1
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Ratio limit theorems for random walks on groups 1966-01-01 Charles J. Stone 1
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Almost periodic functions in a group. I 1934-01-01 J. v. Neumann 1
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On the definition of normal numbers 1951-01-01 Ivan Niven Hannah Zuckerman 1
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On a conjecture of Erdös and Szüsz related to uniform distribution mod 1 1966-01-01 Harry Kesten 1
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Eigenvalue theorems in topological transformation groups 1969-01-01 Harvey B. Keynes James B. Robertson 1
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Renewal Theorems in $R^d $ 1980-01-01 A. V. Nagaev 1
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Strict Ergodicity and Transformation of the Torus 1961-10-01 Hillel Fürstenberg 1
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An ergodic Szemerédi theorem for commuting transformations 1978-12-01 Hillel Fürstenberg Yitzhak Katznelson 1
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A new proof of E. Cartan’s theorem on the topology of semi-simple groups 1949-01-01 G. D. Mostow 1
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The Elements of Probability Theory and Some of Its Applications 1955-04-01 H. Cramer 1
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On the Probability Distribution on a Compact Group. I 1940-01-01 Yukiyosi Kawada Kiyosi Itô 1
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Semi-groups of measures on Lie groups 1956-01-01 G. A. Hunt 1
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On sets of integers containing no four elements in arithmetic progression 1969-03-01 Endre Szemerédi 1
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UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS 1962-08-31 A. A. Kirillov 1
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Regular minimal sets. I 1966-01-01 Joseph Auslander 1