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Showing 1 to 2 of 2 for “"Arithmetic Ramsey theory"”.
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Combinatorial Problems on the Integers: Colorings, Games, and Permutations
… combinatorial arguments and results from number theory and arithmetic Ramsey theory, we found exact expressions or strong bounds for the smallest n such that Maker has a winning strategy.</p> <p>Finally, we study permutations of integers in Chapters 4 to 6. In Chapter 4, we provide an alternative …
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Combinatorial aspects of synchronisation, percolation, and arithmetic
… of research in extremal, probabilistic and arithmetic combinatorics. In Chapter 2, we shall study the Kuramoto model, which is the prototypical model used for rigorous mathematical analysis in the field of synchronisation and nonlinear dynamics. A realisation of this model consists of a …