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math.CO2020
Classifying Permutations under Context-Directed Swaps and the \textbf{cds} game
G. Brown, A. Mitchell, R. Raghavan +2
A special sorting operation called Context Directed Swap, and denoted \textbf{cds}, performs certain types of block interchanges on permutations. When a permutation is sortable by…
math.CO2020
Discordant sets and ergodic Ramsey theory
Vitaly Bergelson, Jake Huryn, Rushil Raghavan
We explore the properties of non-piecewise syndetic sets with positive upper density, which we call "discordant", in countably infinite amenable (semi)groups. Sets of this kind are…