Upper tails for arithmetic progressions in random subsets
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Publication:1678647
DOI10.1007/s11856-017-1546-3zbMath1407.05238arXiv1612.08559OpenAlexW2309973790MaRDI QIDQ1678647
Publication date: 17 November 2017
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.08559
Inequalities; stochastic orderings (60E15) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05) Ramsey theory (05D10) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)
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Normal limiting distributions for systems of linear equations in random sets ⋮ Upper tails via high moments and entropic stability ⋮ Packing nearly optimal Ramsey \(R(3,t)\) graphs ⋮ Replica symmetry in upper tails of mean-field hypergraphs ⋮ Deviation probabilities for arithmetic progressions and other regular discrete structures ⋮ Counting extensions revisited ⋮ Bounds on Ramsey games via alterations ⋮ Unnamed Item ⋮ Deviation probabilities for arithmetic progressions and irregular discrete structures ⋮ Local limit theorems for subgraph counts ⋮ Threshold functions and Poisson convergence for systems of equations in random sets ⋮ The lower tail: Poisson approximation revisited ⋮ On the missing log in upper tail estimates ⋮ Bivariate fluctuations for the number of arithmetic progressions in random sets ⋮ A counterexample to the DeMarco‐Kahn upper tail conjecture ⋮ Number of arithmetic progressions in dense random subsets of \(\mathbb{Z}/n\mathbb{Z}\) ⋮ Upper tail bounds for stars ⋮ An extension of the Erdős‐Tetali theorem
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