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Titlebook: An Irregular Mind; Szemerédi is 70 Imre Bárány,József Solymosi,Gábor Sági Book 2010 János Bolyai Mathematical Society and Springer-Verlag 2

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期刊全称An Irregular Mind
期刊简称Szemerédi is 70
影响因子2023Imre Bárány,József Solymosi,Gábor Sági
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发行地址Special volume on the occasion of Endre Szemeredi‘s 70th birthday - A collection of exceptional papers by world-leading mathematicians, among them several Fields-Medailists - For the first time a poly
学科分类Bolyai Society Mathematical Studies
图书封面Titlebook: An Irregular Mind; Szemerédi is 70 Imre Bárány,József Solymosi,Gábor Sági Book 2010 János Bolyai Mathematical Society and Springer-Verlag 2
影响因子Szemerédi‘s influence on today‘s mathematics, especially in combinatorics, additive number theory, and theoretical computer science, is enormous. This volume is a celebration of Szemerédi‘s achievements and personality, on the occasion of his seventieth birthday. It exemplifies his extraordinary vision and unique way of thinking. A number of colleagues and friends, all top authorities in their fields, have contributed their latest research papers to this volume. The topics include extension and applications of the regularity lemma, the existence of k-term arithmetic progressions in various subsets of the integers, extremal problems in hypergraphs theory, and random graphs, all of them beautiful, Szemerédi type mathematics. It also contains published accounts of the first two, very original and highly successful Polymath projects, one led by Tim Gowers and the other by  Terry Tao.
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Percolation on Self-Dual Polygon Configurations,sion of such a model, reduces to a single equation. They state that the solution of the resulting equation gives the critical point. However, just as in the classical case of bond percolation on the square lattice, self-duality is simply the starting point: the mathematical difficulty is precisely s
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An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications,aphs, decomposing such graphs into a structured piece, a small error, and a uniform piece. We establish an arithmetic regularity lemma that similarly decomposes bounded functions f: [N] →ℂ, into a (well-equidistributed, virtual) s-step nilsequence, an error which is small in L. and a further error w
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Online Linear Discrepancy of Partially Ordered Sets,athematics and theoretical computer science is a jewel for online problems for partially ordered sets: the fact that h(h + l)/2 antichains are required for an online antichain partition of a poset of height h.
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On The Triangle Removal Lemma For Subgraphs of Sparse Pseudorandom Graphs,erdam, 1978, pp. 939-945], which gave rise to a purely combinatorial proof of the fact that sets of integers of positive upper density contain three-term arithmetic progressions, a result first proved by Roth [., J. London Math. Soc. . (1953), 104-109].
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,Almost All F-Free Graphs Have The Erdös-Hajnal Property, induced subgraph) must contain a clique or an independent set of size at least |G|ɛ( H). We prove that there exists ɛ(H) such that almost every H-ïvee graph G has this property, meaning that, amongst the if-free graphs with n vertices, the proportion having the property tends to one as n → ∞.
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