Hillel Furstenberg | Academic Influence

Why Is Hillel Furstenberg Influential?

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According to Wikipedia, Hillel Furstenberg is a German-born American-Israeli mathematician and professor emeritus at the Hebrew University of Jerusalem. He is a member of the Israel Academy of Sciences and Humanities and U.S. National Academy of Sciences and a laureate of the Abel Prize and the Wolf Prize in Mathematics. He is known for his application of probability theory and ergodic theory methods to other areas of mathematics, including number theory and Lie groups.

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Hillel Furstenberg's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Noncommuting random products (1963) (835)
Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions (1977) (822)
Recurrence in Ergodic Theory and Combinatorial Number Theory (2014) (755)
Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation (1967) (690)
Products of Random Matrices (1960) (533)
Strict Ergodicity and Transformation of the Torus (1961) (483)
A POISSON FORMULA FOR SEMI-SIMPLE LIE GROUPS* (1963) (447)
An ergodic Szemerédi theorem for commuting transformations (1978) (300)
The Structure of Distal Flows (1963) (257)
Boundary theory and stochastic processes on homogeneous spaces (1973) (248)
A density version of the Hales-Jewett theorem (1991) (230)
The ergodic theoretical proof of Szemerédi's theorem (1982) (178)
Topological dynamics and combinatorial number theory (1978) (171)
Random matrix products and measures on projective spaces (1983) (170)
Algebraic functions over finite fields (1967) (151)
An ergodic Szemerédi theorem for IP-systems and combinatorial theory (1985) (144)
Ergodic fractal measures and dimension conservation (2008) (113)
Ergodic Theory and Configurations in Sets of Positive Density (1990) (105)
Intersections of Cantor Sets and Transversality of Semigroups (2015) (97)
Poincaré recurrence and number theory (1981) (95)
The finite multipliers of infinite ergodic transformations (1978) (86)
Idempotents in compact semigroups and Ramsey theory (1989) (85)
Stationary Processes and Prediction Theory. (1960) (83)
On the Infinitude of Primes (1955) (76)
A note on Borel’s density theorem (1976) (74)
Prime flows in topological dynamics (1973) (68)
IP-sets and polynomial recurrence (1996) (58)
The unique ergodigity of the horocycle flow (1973) (56)
Poisson boundaries and envelopes of discrete groups (1967) (48)
Translation-invariant cones of functions on semi-simple lie groups (1965) (47)
Piecewise-Bohr Sets of Integers and Combinatorial Number Theory (2006) (40)
Appendix on return-time sequences (1989) (40)
Stationary Processes and Prediction Theory. (AM-44), Volume 44 (1960) (33)
STATIONARY DYNAMICAL SYSTEMS (2009) (33)
A density version of the Hales-Jewett theorem for k=3 (1989) (32)
Markov Processes and Ramsey Theory for Trees (2003) (31)
On almost 1-1 extensions (1989) (30)
Spherical functions and integral geometry (1971) (28)
Random Walks on Lie Groups (1980) (26)
Product recurrence and distal points (1994) (21)
A Mean Ergodic Theorem for 1/NΣNn=1f(Tnx)g(Tn2x) (1996) (16)
WM groups and Ramsey theory (2009) (15)
Simultaneous diophantine approximation and IP-sets (1988) (14)
The inverse operation in groups (1955) (13)
An application of number theory to ergodic theory and the construction of uniquely ergodic models (1979) (12)
Rigidity and cocycles for ergodic actions of semi-simple lie groups (1981) (12)
$IP_r $-sets, Szemerédi's theorem, and Ramsey theory (1986) (11)
Perfect filtering and double disjointness (1995) (11)
Topological Properties of Rn Suspensions and Growth Properties of Zn Cocycles (1993) (10)
The Influence of Benoît B. Mandelbrot on mathematics (2012) (9)
Ergodic Theory And Fractal Geometry (2017) (9)
Return times of dynamical systems (1989) (8)
ON THE EXISTENCE OF ISOMETRIC EXTENSIONS (1978) (8)
Recurrent Ergodic Structures and Ramsey Theory (1990) (6)
Eigenmeasures , Equidistribution , and the Multiplicity of β-expansions (2004) (4)
Recurrence for Stationary Group Actions (2011) (4)
Ergodic Structures and Non-conventional Ergodic Theorems (2011) (4)
Affinely prime dynamical systems (2015) (2)
Analyses of the "Gans" Committee Report (2004) (1)
WITHDRAWN: Linear regression and second moments (2001) (1)
Findings of the Committee to Investigate the Gans-Inbal Results on Equidistant Letter Sequences in Genesis (2004) (1)
Problems for Solution: 4618-4622 (1955) (1)
An Expectation Problem (P. L. van Albada) (1963) (1)
Review: Ulf Grenander, Probabilities on algebraic structures (1965) (0)
CHAPTER 2. THE PREDICTION PROBLEMS FOR SEQUENCES (1960) (0)
Chapter 4. Some Special Ergodic Theorems (1981) (0)
Chapter 8. Proximality in Dynamical Systems and the Theorems of Hindman and Rado (1981) (0)
FUNCTIONAL ANALYSIS AND STOCHASTIC PROCESSES. (1969) (0)
Chapter 7. The Multiple Recurrence Theorem (1981) (0)
Investigations in Harmonic Analysis, Ergodic Theory and Related Topics in Analysis. (1971) (0)
Chapter 2. Van der Waerden's Theorem (1981) (0)
CHAPTER 1 . STOCHASTIC PROCESSES AND STOCHASTIC SEQUENCES (1960) (0)
CHAPTER 8. INDUCTIVE FUNCTIONS AND MARKOFF PROCESSES (1960) (0)
The work of Elon Lindenstrauss (2011) (0)
CHAPTER 4 . SUBPROCESSES OP MARKOFF PROCESSES (1960) (0)
CHAPTER 7. INDUCTIVE FUNCTIONS (1960) (0)
Problems for Solution: E1016-E1020 (1952) (0)
Hausdorff dimension and transversality of discrete flows (1971) (0)
Note on One Type of Indeterminate Form (1953) (0)
CHAPTER 9 . PROJECTIVE INDUCTIVE FUNCTIONS AND PREDICTION (1960) (0)
An application: The -lane property (2014) (0)
Chapter 5. Measure Theoretic Preliminaries (1981) (0)
Elements of ergodic theory (2014) (0)
Probability trees and galleries (2014) (0)
Chapter 9. The Fine Structure of Recurrence and Mixing (1981) (0)
Markov operator and measure preserving transformation (2014) (0)
Inst I tute f o r Ma t he M a t Ics and I ts a ppl Ic a t IonsUNI v ERSIT y of M INNE S o T A (2012) (0)
From invariance to self-similarity: The work of Michael Hochman on fractal dimension and its aftermath (2019) (0)
Ergodic theorem and the proof of the main theorem (2014) (0)
CHAPTER 6. STATISTICAL PREDICTABILITY (1960) (0)
CHAPTER 3. EXAMPLES AND COUNTEREXAMPLES (1960) (0)
Chapter 3. Invariant Measures on Compact Spaces (1981) (0)
Dimension conservation for homogeneous fractals: The main steps in the proof (2014) (0)
Dimension and energy (2014) (0)
Introduction to fractals (2014) (0)
General remarks on Markov systems (2014) (0)
Probability trees revisited (2014) (0)
Ergodic theorem for sequences of functions (2014) (0)
Verifying the conditions of the ergodic theorem for sequences of functions (2014) (0)
Trees and fractals (2014) (0)
ability space Q with measure Iu, the ergodic theorem assures the existence (2016) (0)
Foreword from the Porter Lectures Committee (1981) (0)
Chapter 1. Recurrence and Uniform Recurrence in Compact Spaces (1981) (0)
Ramsey Properties of Subsets of N Solvability of Linear Diophantine Systems within Wm Sets 16 (2008) (0)
CHAPTER 5. STOCHASTIC SEMIGROUPS AND CONTINUOUS PREDICTABILITY (1960) (0)
Meetings & Conferences of the AMS (2002) (0)
Galleries of trees (2014) (0)
Chapter 6. Structure of Measure Preserving Systems (1981) (0)

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