Elon Lindenstrauss

Elon Lindenstrauss, 2009

Elon Lindenstrauss ( Hebrew אילון לינדנשטראוס; * August 1, 1970 in Jerusalem ) is an Israeli mathematician who has received many awards .

Life

Lindenstrauss is the son of mathematician Joram Lindenstrauss and studied at the Hebrew University , where he completed his master’s degree in 1995 and obtained his doctorate under Benjamin Weiss in 1999 ( Entropy properties of dynamical systems ). He then worked at the Institute for Advanced Study from 1999/2000 , from 2001 to 2003 Assistant Professor at Stanford University , from 2003 to 2005 at the Clay Mathematics Institute (of which he was a Long Term Prize Fellow) and at the Courant Institute of Mathematical Sciences of New York University . From 2004 to 2010 he was a professor at Princeton University . Since 2008 he has been a professor at the Hebrew University of Jerusalem . In 2012 he was elected a full member of the Academia Europaea .

Lindenstrauss works on the application of ergodic theory in number theory and in 2006, together with Anatole Katok and Manfred Einsiedler , proved that John Edensor Littlewood's conjecture about the simultaneous Diophantine approximation of two real numbers, only for a set of pairs outside a set of Hausdorff dimension zero, does not can apply. Littlewood's conjecture (from about 1930) reads: For every pair of real numbers and the Limes is inferior ${\ displaystyle \ alpha}$ ${\ displaystyle \ beta}$

{\ displaystyle \ liminf _ {n \ to \ infty} \ n \, \ | n \ alpha \ | \, \ | n \ beta \ | = 0,}

where denotes the distance from to the next whole number. So it makes a statement about the quality of the approximation of two real numbers by rational numbers with the same denominator or geometrically to approximate to . The evidence is important also because of the new methods used. In addition, Lindenstrauss proved the “Quantum Unique Ergodicity Conjecture” ( QUE , by Peter Sarnak , Zeev Rudnick 1991) for arithmetic hyperbolic surfaces ( Maaß wave forms ). ${\ displaystyle \ | x \ |}$ ${\ displaystyle x}$ ${\ displaystyle (n \ alpha, n \ beta) \ in \ mathbb {R} ^ {2}}$ ${\ displaystyle \ mathbb {Z} ^ {2}}$

Fonts

with Manfred Einsiedler : Diagonal flows on locally homogeneous spaces and number theory. In: Proceedings ICM. Madrid 2006.

literature

Manfred Einsiedler: A Fields Medal for Elon Lindenstrauss , Mitteilungen DMV 2011

Awards

2001: Blumenthal Award from the American Mathematical Society , with Stephen J. Bigelow

2003: Salem Prize

2004: EMS Prize of the European Mathematical Society and Invited Speaker at the 4th European Mathematicians Congress ( Invariant measures for multiparameter diagonalizable algebraic actions )

2008: Michael Bruno Memorial Award from the Rothschild “Yad Hanadiv” Foundation

2009: Erdős Prize of the Israel Mathematical Society

2009: Fermat Prize

2010: Fields Medal

Web links

Individual evidence

^ Membership directory: Elon Lindenstrauss. Academia Europaea, accessed October 1, 2017 (English, with biographical and other information).
↑ Einsiedler, Katok, Lindenstrauss: Invariant measures and the set of exceptions to Littlewoods conjecture. In: Annals of Mathematics. Volume 164, 2006, pages 513-560. See also: Akshay Venkatesh : The work of Einsiedler, Katok and Lindenstrauss on the Littlewood Conjecture. Bulletin AMS, Volume 45, 2008, pp. 117-134

personal data
SURNAME	Lindenstrauss, Elon
ALTERNATIVE NAMES	אילון לינדנשטראוס (Hebrew)
BRIEF DESCRIPTION	Israeli mathematician
DATE OF BIRTH	August 1, 1970
PLACE OF BIRTH	Jerusalem

[1] Membership directory: Elon Lindenstrauss. Academia Europaea, accessed October 1, 2017 (English, with biographical and other information).

[2] Einsiedler, Katok, Lindenstrauss: Invariant measures and the set of exceptions to Littlewoods conjecture. In: Annals of Mathematics. Volume 164, 2006, pages 513-560. See also: Akshay Venkatesh : The work of Einsiedler, Katok and Lindenstrauss on the Littlewood Conjecture. Bulletin AMS, Volume 45, 2008, pp. 117-134