Elon Lindenstrauss

Elon Lindenstrauss (Hebrew אילון לינדנשטראוס; born August 1, 1970 in Jerusalem) is an award-winning Israeli mathematician.

Life

Lindenstrauss is the son of the mathematician Joram Lindenstrauss and studied at the Hebrew University, where he made ​​his master's degree in 1995 and his doctorate in 1999 at Benjamin Weiss ( Entropy properties of dynamical systems ). After that, he was 1999/2000 at the Institute for Advanced Study, 2001 to 2003 Assistant Professor at Stanford University, from 2003 to 2005 at the Clay Mathematics Institute (whose Long-Term Prize Fellow, he was ) and at the Courant Institute of Mathematical Sciences of New York University. Since 2004 he is a professor at Princeton University.

Lindenstrauss works in the application of ergodic theory in number theory and proved in 2006 with Anatole Katok and Manfred hermit, that the presumption of John Edensor Littlewood on simultaneous Diophantine approximation of two real numbers, only for a lot of couples outside a set of Hausdorff dimension zero not may apply. Littlewoods conjecture (from about 1930) reads as follows: For each pair of real numbers and the limit inferior

Wherein the distance from the nearest whole number referred to. So you make a statement about the quality of the approximation of two real numbers by rational numbers with the same denominator or geometrically on the approximation of. The proof is also used because of new methods of significance. In addition, Lindenstrauss proved the " Quantum Unique Ergodicity Conjecture " ( QUE, Peter Sarnak, Zeev Rudnick 1991) for arithmetic hyperbolic surfaces ( Maas waveforms ).

Writings

  • With Manfred hermit: Diagonal flows on locally homogeneous spaces and number theory. In: Proceedings of the ICM. Madrid 2006.
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