# Hillel Furstenberg

#1,730

Most Influential Person Now

Mathematician

## Hillel Furstenberg's AcademicInfluence.com Rankings

Hillel Furstenbergmathematics Degrees

Mathematics

#101

World Rank

#270

Historical Rank

Measure Theory

#319

World Rank

#484

Historical Rank

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Mathematics

## Hillel Furstenberg's Degrees

- PhD Mathematics Princeton University

## Why Is Hillel Furstenberg Influential?

(Suggest an Edit or Addition)According to Wikipedia, Hillel "Harry" 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.

## Hillel Furstenberg's Published Works

### Published Works

- Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions (1977) (864)
- Noncommuting random products (1963) (851)
- Recurrence in Ergodic Theory and Combinatorial Number Theory (2014) (807)
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation (1967) (726)
- Products of Random Matrices (1960) (547)
- Strict Ergodicity and Transformation of the Torus (1961) (486)
- A POISSON FORMULA FOR SEMI-SIMPLE LIE GROUPS* (1963) (452)
- An ergodic Szemerédi theorem for commuting transformations (1978) (310)
- The Structure of Distal Flows (1963) (262)
- Boundary theory and stochastic processes on homogeneous spaces (1973) (254)
- A density version of the Hales-Jewett theorem (1991) (237)
- The ergodic theoretical proof of Szemerédi's theorem (1982) (184)
- Topological dynamics and combinatorial number theory (1978) (178)
- Random matrix products and measures on projective spaces (1983) (175)
- Algebraic functions over finite fields (1967) (154)
- An ergodic Szemerédi theorem for IP-systems and combinatorial theory (1985) (147)
- Ergodic fractal measures and dimension conservation (2008) (118)
- Ergodic Theory and Configurations in Sets of Positive Density (1990) (109)
- Intersections of Cantor Sets and Transversality of Semigroups (2015) (104)
- Poincaré recurrence and number theory (1981) (99)
- The finite multipliers of infinite ergodic transformations (1978) (89)
- Idempotents in compact semigroups and Ramsey theory (1989) (87)
- Stationary Processes and Prediction Theory. (1960) (86)
- On the Infinitude of Primes (1955) (78)
- A note on Borel’s density theorem (1976) (75)
- Prime flows in topological dynamics (1973) (70)
- IP-sets and polynomial recurrence (1996) (61)
- The unique ergodigity of the horocycle flow (1973) (58)
- Translation-invariant cones of functions on semi-simple lie groups (1965) (48)
- Poisson boundaries and envelopes of discrete groups (1967) (48)
- Appendix on return-time sequences (1989) (43)
- Piecewise-Bohr Sets of Integers and Combinatorial Number Theory (2006) (42)
- STATIONARY DYNAMICAL SYSTEMS (2009) (35)
- Stationary Processes and Prediction Theory. (AM-44), Volume 44 (1960) (34)
- Markov Processes and Ramsey Theory for Trees (2003) (33)
- A density version of the Hales-Jewett theorem for k=3 (1989) (32)
- On almost 1-1 extensions (1989) (31)
- Spherical functions and integral geometry (1971) (29)
- Random Walks on Lie Groups (1980) (26)
- Product recurrence and distal points (1994) (24)
- A Mean Ergodic Theorem for 1/NΣNn=1f(Tnx)g(Tn2x) (1996) (17)
- WM groups and Ramsey theory (2009) (16)
- Simultaneous diophantine approximation and IP-sets (1988) (15)
- The inverse operation in groups (1955) (13)
- Rigidity and cocycles for ergodic actions of semi-simple lie groups (1981) (12)
- Perfect filtering and double disjointness (1995) (12)
- $IP_r $-sets, Szemerédi's theorem, and Ramsey theory (1986) (12)
- An application of number theory to ergodic theory and the construction of uniquely ergodic models (1979) (12)
- 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)
- ON THE EXISTENCE OF ISOMETRIC EXTENSIONS (1978) (8)
- Return times of dynamical systems (1989) (8)
- Recurrent Ergodic Structures and Ramsey Theory (1990) (6)
- Ergodic Structures and Non-conventional Ergodic Theorems (2011) (4)
- Recurrence for Stationary Group Actions (2011) (4)
- Eigenmeasures , Equidistribution , and the Multiplicity of β-expansions (2004) (4)
- Affinely prime dynamical systems (2015) (2)
- Problems for Solution: 4618-4622 (1955) (1)
- An Expectation Problem (P. L. van Albada) (1963) (1)
- Findings of the Committee to Investigate the Gans-Inbal Results on Equidistant Letter Sequences in Genesis (2004) (1)
- WITHDRAWN: Linear regression and second moments (2001) (1)
- Analyses of the "Gans" Committee Report (2004) (1)
- Ramsey Properties of Subsets of N Solvability of Linear Diophantine Systems within Wm Sets 16 (2008) (1)
- The work of Elon Lindenstrauss (2011) (0)
- Verifying the conditions of the ergodic theorem for sequences of functions (2014) (0)
- IP-systems and Recurrence in Ergodic Theory: an Update (2022) (0)
- Affinely prime dynamical systems (2017) (0)
- An application: The -lane property (2014) (0)
- Elements of ergodic theory (2014) (0)
- From invariance to self-similarity: The work of Michael Hochman on fractal dimension and its aftermath (2019) (0)
- Ergodic theorem for sequences of functions (2014) (0)
- Introduction to fractals (2014) (0)
- Dimension conservation for homogeneous fractals: The main steps in the proof (2014) (0)
- Probability trees revisited (2014) (0)
- Trees and fractals (2014) (0)
- Meetings & Conferences of the AMS (2002) (0)
- Galleries of trees (2014) (0)
- Probability trees and galleries (2014) (0)
- Markov operator and measure preserving transformation (2014) (0)
- Dimension and energy (2014) (0)
- General remarks on Markov systems (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)
- ability space Q with measure Iu, the ergodic theorem assures the existence (2016) (0)
- Ergodic theorem and the proof of the main theorem (2014) (0)
- Foreword (2022) (0)
- Chapter 5. Measure Theoretic Preliminaries (1981) (0)
- CHAPTER 9 . PROJECTIVE INDUCTIVE FUNCTIONS AND PREDICTION (1960) (0)
- Review: Ulf Grenander, Probabilities on algebraic structures (1965) (0)
- Chapter 1. Recurrence and Uniform Recurrence in Compact Spaces (1981) (0)
- Problems for Solution: E1016-E1020 (1952) (0)
- Chapter 2. Van der Waerden's Theorem (1981) (0)
- CHAPTER 2. THE PREDICTION PROBLEMS FOR SEQUENCES (1960) (0)
- CHAPTER 5. STOCHASTIC SEMIGROUPS AND CONTINUOUS PREDICTABILITY (1960) (0)
- CHAPTER 7. INDUCTIVE FUNCTIONS (1960) (0)
- CHAPTER 6. STATISTICAL PREDICTABILITY (1960) (0)
- CHAPTER 1 . STOCHASTIC PROCESSES AND STOCHASTIC SEQUENCES (1960) (0)
- Foreword from the Porter Lectures Committee (1981) (0)
- Chapter 3. Invariant Measures on Compact Spaces (1981) (0)
- CHAPTER 8. INDUCTIVE FUNCTIONS AND MARKOFF PROCESSES (1960) (0)
- CHAPTER 3. EXAMPLES AND COUNTEREXAMPLES (1960) (0)
- Chapter 4. Some Special Ergodic Theorems (1981) (0)
- FUNCTIONAL ANALYSIS AND STOCHASTIC PROCESSES. (1969) (0)
- Chapter 8. Proximality in Dynamical Systems and the Theorems of Hindman and Rado (1981) (0)
- Investigations in Harmonic Analysis, Ergodic Theory and Related Topics in Analysis. (1971) (0)
- Chapter 9. The Fine Structure of Recurrence and Mixing (1981) (0)
- Chapter 6. Structure of Measure Preserving Systems (1981) (0)
- Hausdorff dimension and transversality of discrete flows (1971) (0)
- Note on One Type of Indeterminate Form (1953) (0)
- CHAPTER 4 . SUBPROCESSES OP MARKOFF PROCESSES (1960) (0)
- Chapter 7. The Multiple Recurrence Theorem (1981) (0)

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