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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
3
votes
Bicoloring of $\mathbb{N}^2$, avoiding set of patterns, is the maximal limit density rational?
I believe the answer to Q2b is yes, there does exist setups where the limit density is irrational.
Consider the Kari-Culik (Wang) tilings, and let $\Phi$ be projection onto the top label of each tile …