Micha Asher Perles is an Israeli mathematician working in geometry, a professor emeritus at the Hebrew University.[1] He earned his Ph.D. in 1964 from the Hebrew University, under the supervision of Branko Grünbaum.[2] His contributions include:
- The Perles configuration, a set of nine points in the Euclidean plane whose collinearities can be realized only by using irrational numbers as coordinates. Perles used this configuration to prove the existence of irrational polytopes in higher dimensions.[3]
- The Perles–Sauer–Shelah lemma, a result in extremal set theory whose proof was credited to Perles by Saharon Shelah.[4][5]
- The pumping lemma for context-free languages, a widely used method for proving that a language is not context-free that Perles discovered with Yehoshua Bar-Hillel and Eli Shamir.[6]
Micha Asher Perles | |
|---|---|
| Born | Jerusalem |
| Alma mater | Hebrew University |
| Known for | Perles configuration, Perles–Sauer–Shelah lemma, pumping lemma |
| Scientific career | |
| Fields | convexity, combinatorics, graph theory |
| Thesis | (1964) |
| Doctoral advisor | Branko Grünbaum |
| Doctoral students | Noga Alon, Gil Kalai, Nati Linial |
Notable students of Perles include Noga Alon, Gil Kalai, and Nati Linial.[2]
References
edit- ^ Faculty profile, Hebrew University, retrieved 2013-12-12.
- ^ a b Micha Perles at the Mathematics Genealogy Project
- ^ Grünbaum, Branko (2003), Convex polytopes, Graduate Texts in Mathematics, vol. 221 (Second ed.), New York: Springer-Verlag, pp. 93–95, ISBN 0-387-00424-6, MR 1976856.
- ^ Shelah, Saharon (1972), "A combinatorial problem; stability and order for models and theories in infinitary languages", Pacific Journal of Mathematics, 41: 247–261, doi:10.2140/pjm.1972.41.247, MR 0307903.
- ^ Kalai, Gil (September 28, 2008), "Extremal Combinatorics III: Some Basic Theorems", Combinatorics and More.
- ^ Dewdney, A. K. (1993), The New Turing Omnibus: Sixty-Six Excursions in Computer Science, Macmillan, p. 91, ISBN 9780805071665.
External links
edit- Micha Asher Perles' home page
- Micha Perles at DBLP Bibliography Server
- Micha A. Perles' online publications at arXiv
- Micha Perles at the Mathematics Genealogy Project
