5 problems

A Wang tileset is a finite set of Wang tiles, and a tileset induces a subshift consisting of its valid tilings. Let $\mathscr{L}^0\subseteq\mathscr{L}^1$ be the two classes of subs…

A Wang tile is a non-rotatable unit square with colored edges, and a tile set is a collection of such tiles. An infinite valid tiling is a covering of the infinite plane by copies…

Let $\Omega_0$ be the Jeandel–Rao Wang shift, which contains the proper minimal subshift $X_0$. Unique ergodicity conjecture. The subshift $\Omega_0$ is uniquely ergodic. This woul…

Let $\Omega_4$ be the Wang shift under consideration, let $X_4\subset\Omega_4$ be the associated subshift, and let $Y_i^+$ and $Y_i^-$ be the horizontal-shift orbit closures of the…

Let $\Omega_0$ be the Jeandel–Rao Wang shift and let $X_0\subset\Omega_0$ be the minimal aperiodic subshift constructed in the paper. A shift-invariant probability measure on…