Gady Kozma
Gady Kozma (* 20th century) is an Israeli mathematician .
Kozma received her PhD from Tel Aviv University under Alexander Olevskii in 2001 . He is a scientist at the Weizmann Institute .
In 2005 he proved the existence of the scaling limit value (i.e. for ever finer grids) of Loop Erased Random Walk (LERW) in three dimensions and its invariance under rotations and dilations.
LERW consists of a random walk whose loops that form when it intersects itself are removed. It was introduced in 1980 by Gregory Lawler to study Self Avoiding Random Walk, but is an independent model in another universality class. In d = 2, conformal invariance was proven in 2004 by Lawler, Oded Schramm and Wendelin Werner (with Schramm Loewner Evolution, SLE), four and more dimensions were dealt with by Lawler, the scaling limit is there Brownian motion, in four dimensions - the critical dimension - with logarithmic correction. In 2002 Kozma treated the two-dimensional case with a new method.
In addition to probability theory, he also deals with Fourier series.
In 2008 he received the Erdős Prize and in 2010 the Rollo Davidson Prize .
Web links
Individual evidence
- ^ The scaling limit of loop erased random walk in three dimensions. Acta Mathematica, Vol. 199, 207, 29-152.
- ^ The scaling limit of loop erased random walk - a naive approach. Preprint 2002.
- ↑ For example Kozma, Olevskii: Analytic representation of functions and a new quasi-analytical treshold. Annals of Mathematics, Volume 164, 2006, pp. 1033-1064, Arxiv.
| personal data | |
|---|---|
| SURNAME | Kozma, Gady |
| BRIEF DESCRIPTION | Israeli mathematician |
| DATE OF BIRTH | 20th century |