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]
^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.
March 23, 2023
gady, kozma, this, biography, living, person, relies, much, references, primary, sources, please, help, adding, secondary, tertiary, sources, contentious, material, about, living, persons, that, unsourced, poorly, sourced, must, removed, immediately, especiall. This biography of a living person relies too much on references to primary sources Please help by adding secondary or tertiary sources Contentious material about living persons that is unsourced or poorly sourced must be removed immediately especially if potentially libelous or harmful Find sources Gady Kozma news newspapers books scholar JSTOR June 2017 Learn how and when to remove this template message This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Gady Kozma news newspapers books scholar JSTOR June 2017 Learn how and when to remove this template message 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 Gady Kozma right Hugo Duminil Copin left Oberwolfach 2012 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 Erdos Prize and in 2010 the Rollo Davidson Prize He is an editor of the Journal d Analyse Mathematique 6 References Edit 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 Mathematique homepage at the Hebrew University of Jerusalem Retrieved 16 October 2022 Retrieved from https en wikipedia org w index php title Gady Kozma amp oldid 1128997534, wikipedia, wiki, book, books, library,
