By Noga Alon (auth.), Imre Bárány, József Solymosi, Gábor Sági (eds.)
Szemerédi's impact on ultra-modern arithmetic, in particular in combinatorics, additive quantity conception, and theoretical laptop technological know-how, is gigantic. This quantity is a party of Szemerédi's achievements and character, at the party of his 70th birthday. It exemplifies his notable imaginative and prescient and special mind set. a few colleagues and acquaintances, all most sensible experts of their fields, have contributed their newest learn papers to this quantity. the themes contain extension and functions of the regularity lemma, the life of k-term mathematics progressions in a variety of subsets of the integers, extremal difficulties in hypergraphs concept, and random graphs, them all appealing, Szemerédi variety arithmetic. It additionally includes released money owed of the 1st , very unique and hugely winning Polymath tasks, one led by means of Tim Gowers and the opposite by way of Terry Tao.
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Extra resources for An Irregular Mind: Szemerédi is 70
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Sampling or random sampling (= Monte Carlo method)? How about "line sampling"? Can we "beat" th e Monte Carlo method? I will address some of th ese excitin g questions in th e next two sections. Thi s gives me an oppor tunity to analyze some well-known classical result s from a new viewpoint. 48 2. J. Beck CAN WE BEAT THE MONTE CARLO METHOD? (I) Regular sampling vs. random sampling. As far as I know, there are two general approaches to build a theory of uniform distribution . I can summarize them in a nutshell as follows.
An Irregular Mind: Szemerédi is 70 by Noga Alon (auth.), Imre Bárány, József Solymosi, Gábor Sági (eds.)