Itai Benjamini is an Israeli mathematician who holds the Renee and Jay Weiss Chair in the Department of Mathematics at the Weizmann Institute of Science.[1]
Itai Benjamini | |
|---|---|
| Alma mater | Hebrew University of Jerusalem |
| Known for | Probability theory, random processes on graphs, noise sensitivity of Boolean functions |
| Awards | Rollo Davidson Prize (2004), Morris L. Levinson Prize (2004) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Weizmann Institute of Science |
| Doctoral advisor | Benjamin Weiss |
Benjamini completed his Ph.D. in 1992 at the Hebrew University of Jerusalem, under the supervision of Benjamin Weiss. His dissertation was entitled "Random Walks on Graphs and Manifolds".[2] In 2004 he won the Rollo Davidson Prize for young probability theorists "for his work across probability, including the analytic and geometric, particularly in the study of random processes associated with graphs".[3] In the same year he also won the Morris L. Levinson Prize of the Weizmann Institute.[4] He was an invited speaker at the International Congress of Mathematicians in 2010,[5] speaking about "random planar metrics".[B]
Benjamini was a long time collaborator of Oded Schramm. Their joint works included papers on limits of planar graphs,[BS] noise sensitivity of Boolean functions[BKS1] and first passage percolation[BKS2]. With Olle Häggström, Benjamini edited the selected works of Oded Schramm.[S]
Benjamini has also made contributions to the study of the Biham–Middleton–Levine traffic model [AB] and isoperimetric inequalities on Riemannian manifolds[BC].
Selected publications
edit| BC. | Benjamini, Itai; Cao, Jianguo (1996), "A new isoperimetric comparison theorem for surfaces of variable curvature", Duke Mathematical Journal, 85 (2): 359–396, doi:10.1215/S0012-7094-96-08515-4, MR 1417620.
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| BS. | Benjamini, Itai; Schramm, Oded (2001), "Recurrence of distributional limits of finite planar graphs", Electronic Journal of Probability, 6, doi:10.1214/EJP.v6-96, MR 1873300.
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| BKS1. | Benjamini, Itai; Kalai, Gil; Schramm, Oded (1999), "Noise sensitivity of Boolean functions and applications to percolation", Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 90: 5–43, arXiv:math/9811157, doi:10.1007/BF02698830.
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| BKS2. | Benjamini, Itai; Kalai, Gil; Schramm, Oded (2003), "First passage percolation has sublinear distance variance", Ann. Probab., 31 (4): 197–1978, arXiv:math/0203262, Bibcode:2002math......3262B, doi:10.1214/aop/1068646373.
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| AB. | Austin, Tim; Benjamini, Itai (2006), For what number of cars must self organization occur in the Biham–Middleton–Levine traffic model from any possible starting configuration?, arXiv:math/0607759, Bibcode:2006math......7759A.
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| B. |
| S. | Schramm, Oded (2011), Benjamini, Itai; Häggström, Olle (eds.), Selected works of Oded Schramm, Selected Works in Probability and Statistics, New York: Springer, doi:10.1007/978-1-4419-9675-6, ISBN 978-1-4419-9674-9, MR 2885266.
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References
edit- ^ "Prof. Itai Benjamini", Honors and Awards, Weizmann Wonder Wander: News, Features and Discoveries from the Weizmann Institute, Weizmann Institute, archived from the original on 2015-07-25, retrieved 2015-11-01; The Faculty of Mathematics, Weizmann Institute, retrieved 2015-11-01.
- ^ Itai Benjamini at the Mathematics Genealogy Project
- ^ "Holroyd and Benjamini Awarded Rollo Davidson Prizes" (PDF), Mathematics People, Notices of the AMS, 51 (6): 661, June–July 2004.
- ^ Honors and Prizes to Faculty Members, Department of Mathematics, Weizmann Institute of Science, archived from the original on 2016-12-20, retrieved 2015-11-01.
- ^ ICM Plenary and Invited Speakers since 1897, International Mathematical Union, archived from the original on 2017-11-24, retrieved 2015-11-01.