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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SPASM

天然熱噴泉

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

beta-carotene

GREG

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] →?, into a (well-equidistributed, virtual) s-step nilsequence, an error which is small in L. and a further error w

confederacy

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.

Enthralling

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].

disrupt

,Almost All F-Free Graphs Have The Erd?s-Hajnal Property, induced subgraph) must contain a clique or an independent set of size at least |G|?( H). We prove that there exists ?(H) such that almost every H-?vee 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 → ∞.

Evacuate

Yag-Capsulotomy