Hillel Furstenberg
Harry Furstenberg  

Hillel Furstenberg in 1992


Born 
Berlin 
September 29, 1935
Nationality 
Israel American 
Fields  Mathematics 
Alma mater  Princeton University 
Doctoral advisor  Salomon Bochner 
Doctoral students 
Alexander Lubotzky Vitaly Bergelson Yuval Peres Alexander Fish 
Known for 
Proof of Szemerédi's theorem Furstenberg compactification 
Notable awards 
Israel Prize Harvey Prize Wolf Prize 
Hillel (Harry) Furstenberg (Hebrew: הלל (הארי) פורסטנברג) (born September 29, 1935) is an AmericanIsraeli mathematician, a member of the Israel Academy of Sciences and Humanities and U.S. National Academy of Sciences and a laureate of 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.
Biography
Hillel Furstenberg was born in Germany, in 1935, and the family emigrated to the United States in 1939, shortly before the outbreak of the Second World War. He attended Marsha Stern Talmudical Academy and then Yeshiva University, where he concluded his BA and MSc studies in 1955. He obtained his Ph. D. under Salomon Bochner at Princeton University in 1958. After several years at the University of Minnesota he became a Professor of Mathematics at the Hebrew University of Jerusalem in 1965.
He gained attention at an early stage in his career for producing an innovative topological proof of the infinitude of prime numbers. He proved unique ergodicity of horocycle flows on compact hyperbolic Riemann surfaces in the early 1970s. In 1977, he gave an ergodic theory reformulation, and subsequently proof, of Szemerédi's theorem. The Furstenberg boundary and Furstenberg compactification of a locally symmetric space are named after him, as is the Furstenberg–Sárközy theorem in additive number theory.
Awards
 1993 – Furstenberg received the Israel Prize, for exact sciences.^{[1]}
 1993 – Furstenberg received the Harvey Prize from Technion.
 2006/7 – He received the Wolf Prize in Mathematics.
Selected publications
 Furstenberg, Harry, Stationary processes and prediction theory, Princeton, N.J., Princeton University Press, 1960.^{[2]}^{[3]}
 Furstenberg, Harry, Recurrence in ergodic theory and combinatorial number theory, Princeton, N.J., Princeton Univ. Press, 1981.^{[4]}^{[5]}
See also
References
 ^ "Israel Prize Official Site – Recipients in 1993 (in Hebrew)".
 ^ https://books.google.com/books/about/Stationary_Processes_and_Prediction_Theo.html?id=AujX1cq8SYC&redir_esc=y
 ^ Masani, P. (1963). "Review: Stationary processes and prediction theory, by H. Furstenberg". Bull. Amer. Math. Soc. 69 (2): 195–207. doi:10.1090/s000299041963109106.
 ^ https://books.google.com/books/about/Recurrence_in_ergodic_theory_and_combina.html?id=NYSSQgAACAAJ&redir_esc=y
 ^ Petersen, Karl (1986). "Review: Recurrence in ergodic theory and combinatorial number theory, by H. Furstenberg". Bull. Amer. Math. Soc. (N.S.). 14 (2): 305–309. doi:10.1090/s027309791986154510.
External links
 O'Connor, John J.; Robertson, Edmund F., "Hillel Furstenberg", MacTutor History of Mathematics archive, University of St Andrews.
 Mathematics Genealogy page
 Press release
 Israel Academy of Sciences and Humanities (Hebrew)
 1935 births
 20thcentury American mathematicians
 21stcentury American mathematicians
 Members of the United States National Academy of Sciences
 Living people
 Israel Prize in exact science recipients
 Israel Prize in exact science recipients who were mathematicians
 Hebrew University of Jerusalem faculty
 Members of the Israel Academy of Sciences and Humanities
 Israeli mathematicians
 Princeton University alumni, 1950–59
 University of Minnesota faculty
 Wolf Prize in Mathematics laureates
 Yeshiva University alumni
 German Jews
 American people of GermanJewish descent
 Israeli Jews