Shahar Mozes Explained
| Shahar Mozes |
| Native Name: | שחר מוזס |
| Native Name Lang: | he |
| Nationality: | Israeli |
| Fields: | Mathematics |
| Workplaces: | Hebrew University of Jerusalem |
| Alma Mater: | Hebrew University of Jerusalem |
| Doctoral Advisor: | Hillel Fürstenberg |
| Known For: | Lie groups, Geometric group theory, Ergodic theory, Aperiodic tilings |
| Awards: | Erdős Prize (2000) |
Shahar Mozes (שחר מוזס) is an Israeli mathematician.[1]
Mozes received in 1991, his doctorate from the Hebrew University of Jerusalem with thesis Actions of Cartan subgroups under the supervision of Hillel Fürstenberg.[2] At the Hebrew University of Jerusalem, Mozes became in 1993 a senior lecturer, in 1996 associate professor, and in 2002 a full professor.
Moses does research on Lie groups and discrete subgroups of Lie groups, geometric group theory, ergodic theory, and aperiodic tilings. His collaborators include Jean Bourgain, Alex Eskin, Elon Lindenstrauss, Gregory Margulis, and Hee Oh.
In 2000 Mozes received the Erdős Prize. In 1998 he was an invited speaker with talk Products of trees, lattices and simple groups at the International Congress of Mathematicians (ICM) in Berlin.[3] He was a plenary speaker at the ICM Satellite Conference on "Geometry Topology and Dynamics in Negative Curvature" held at the Raman Research Institute of the International Centre for Theoretical Sciences (ICTS) from August 2 to August 7, 2010.[4] [5]
Selected publications
- Mozes. Shahar. Tilings, substitution systems and dynamical systems generated by them. Journal d'Analyse Mathématique. 53. 1. 1989. 139–186. 0021-7670. 10.1007/BF02793412. free.
- Mozes. Shahar. Reflection processes on graphs and Weyl groups. Journal of Combinatorial Theory, Series A. 53. 1. 1990. 128–142. 0097-3165. 10.1016/0097-3165(90)90024-Q. free.
- Mozes. Shahar. Mixing of all orders of Lie groups actions. Inventiones Mathematicae. 107. 1. 1992. 235–241. 0020-9910. 10.1007/BF01231889. 1992InMat.107..235M.
- Lubotzky, Alexander. Alexander Lubotzky. Mozes, S.. Raghunathan, M. S.. M. S. Raghunathan. 1993. Cyclic subgroups of exponential growth and metrics on discrete groups. C. R. Acad. Sci. Paris. Séries I. 317. 735.
- Mozes. Shahar. Epimorphic subgroups and invariant measures. Ergodic Theory and Dynamical Systems. 15. 6. 1995. 1207–1210. 0143-3857. 10.1017/S0143385700009871.
- 2152840. CAT(-1)-Spaces, Divergence Groups and their Commensurators. Journal of the American Mathematical Society. 9. 1. 57–93. Burger. M.. Mozes. S.. 1996. 10.1090/S0894-0347-96-00196-8. free.
- 10.2307/2118644. 2118644. Unipotent Flows and Counting Lattice Points on Homogeneous Varieties. The Annals of Mathematics. 143. 2. 253. 1996. Eskin. Alex. Mozes. Shahar. Shah. Nimish. 18628583.
- 10.1007/PL00001616. Non-divergence of translates of certain algebraic measures. Geometric and Functional Analysis. 7. 48–80. 1997. Eskin. A.. Mozes. S.. Shah. N..
- Burger, Marc. Mozes, Shahar. Finitely presented products of trees. C. R. Acad. Sci. Paris. 1997. 324. Séries I. 747–752. 10.1016/S0764-4442(97)86938-8.
- Mozes, S.. 1997. Aperiodic tilings. Inventiones Mathematicae. 128. 3. 603–611. 10.1007/s002220050153. 1997InMat.128..603M.
- Eskin, A.. Margulis, G.. Mozes, S.. 1998. Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture. Annals of Mathematics. 147. 1. 93–141. 10.2307/120984. 120984.
- 10.1007/BF02698740. The word and Riemannian metrics on lattices of semisimple groups. Publications Mathématiques de l'IHÉS. 91. 5–53. 2000. Lubotzky. Alexander. Mozes. Shahar. Raghunathan. M. S..
- Burger, Marc. Mozes, Shahar. Groups acting on trees: from local to global structure. Publications Mathématiques de l'IHÉS. 2000. 92. 113–150. 10.1007/BF02698915.
- Burger, Marc. Mozes, Shahar. Lattices in product of trees. Publications Mathématiques de l'IHÉS. 92. 2000. 151–194. 10.1007/BF02698916.
- Eskin. Alex. Mozes. Shahar. Oh. Hee. Hee Oh. Uniform exponential growth for linear groups. International Mathematics Research Notices. 2002. 31. 1675–1683. 2002. 1073-7928. 10.1155/S1073792802108099 . math/0108157 . free .
- 10.1007/s10711-004-1815-2. free. Automata and Square Complexes. Geometriae Dedicata. 111. 43–64. 2005. Glasner. Yair. Mozes. Shahar. math/0306259.
- 10.1090/S0002-9947-09-04882-X. Divergence in lattices in semisimple Lie groups and graphs of groups. Transactions of the American Mathematical Society. 362. 5. 2451–2505. 2009. Druţu. Cornelia. Cornelia Druţu. Mozes. Shahar. Sapir. Mark. Mark Sapir. free. 0801.4141.
- 10.1090/S0894-0347-2010-00674-1. Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus. Journal of the American Mathematical Society. 24. 231–280. 2011. Bourgain. Jean. Furman. Alex. Lindenstrauss. Elon. Mozes. Shahar. free.
References
- Web site: Shahar Mozes. Hebrew University of Jerusalem.
- Mozes. Shahar. Actions of Cartan subgroups. Israel Journal of Mathematics. 90. 1–3. 1995. 253–294. 0021-2172. 10.1007/BF02783216. free. (doctoral dissertation)
- Book: Mozes, Shahar. Products of trees, lattices and simple groups. Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. II. 1998. 571–582. https://www.elibm.org/ft/10011694000.
- Web site: "Geometry Topology and Dynamics in Negative Curvature", Speakers at the Conference. ICTS, Tata Institute of Fundamental Research.
- Web site: Conference "Geometry Topology and Dynamics in Negative Curvature", venue Raman Research Institute. August 2010. ICTS (icts.res.in).
External links
- Web site: Plenary lecture 9 by Shahar Mozes. International Centre for Theoretical Sciences. 2 November 2016. YouTube. (ICTS Conference, August 2010 — Mozes describes joint work with Bourgain, Furman, and Lindenstrauss.)
