Gady Kozma

Israeli mathematician

(Learn how and when to remove this message)

Gady Kozma
Alma mater	Tel Aviv University
Known for	Loop-erased random walk, Probability theory, Fourier series
Awards	Erdős Prize (2008), Rollo Davidson Prize (2010)
Scientific career
Fields	Mathematics
Institutions	Weizmann Institute of Science
Doctoral advisor	Alexander Olevskii

Gady Kozma

Gady Kozma is an Israeli mathematician. Kozma obtained his PhD in 2001 at the University of Tel Aviv with Alexander Olevskii.^[1] He is a scientist at the Weizmann Institute. In 2005, he demonstrated the existence of the scaling limit value (that is, for increasingly finer lattices) of the loop-erased random walk in three dimensions and its invariance under rotations and dilations.^[2]

A loop-erased random walk consists of a random walk, whose loops, which form when it intersects itself, are removed. This was introduced to the study of self-avoiding random walk by Gregory Lawler in 1980,^[3] but is an independent model in another universality class. In the two-dimensional case, conformal invariance was proved by Lawler, Oded Schramm and Wendelin Werner (with Schramm–Loewner evolution) in 2004.^[4] The cases of four and more dimensions were treated by Lawler, the scale limiting value is Brownian motion, in four dimensions. Kozma treated the two-dimensional case in 2002 with a new method. In addition to probability theory, he also deals with Fourier series.^[5]

In 2008 he received the Erdős Prize and in 2010 the Rollo Davidson Prize. He is an editor of the Journal d'Analyse Mathématique.^[6]

References

^ Gady Kozma at the Mathematics Genealogy Project
^ Kozma, Gady (2007). "The scaling limit of loop-erased random walk in three dimensions". Acta Mathematica. 199 (1): 29–152. arXiv:math/0508344. doi:10.1007/s11511-007-0018-8.
^ Lawler, Gregory F. (September 1980). "A self-avoiding random walk". Duke Mathematical Journal. 47 (3): 655–693. doi:10.1215/S0012-7094-80-04741-9.
^ Lawler, Gregory F.; Schramm, Oded; Werner, Wendelin (2004), "Conformal invariance of planar loop-erased random walks and uniform spanning trees", Annals of Probability, 32 (1B): 939–995, arXiv:math.PR/0112234, doi:10.1214/aop/1079021469
^ Kozma, Gady; Olevskii, Alexander (2006). "Analytic representation of functions and a new quasi-analyticity threshold". Annals of Mathematics. Second series. 164 (3): 1033–1064. arXiv:math/0406261. Bibcode:2004math......6261K. doi:10.4007/annals.2006.164.1033. S2CID 18052987.
^ "Editorial board". Journal d'Analyse Mathématique, homepage at the Hebrew University of Jerusalem. Retrieved 16 October 2022.