3 problems

Let $(\mathcal{T},\sigma,M)$ be a primitive substitution tiling system of $\mathbb{R}^d$ with finite local complexity. Call it conservation-forced when it satisfies the conservatio…

Orthonormal wavelet implies wavelet-set conjecture. For each pair $(B,\Gamma^*)$ such that there exists a $(B,\Gamma^*)$ orthonormal wavelet, there exists an $(A,\Gamma)$ wavelet s…

Let $ABC$ be a triangle that is $N$-tiled, meaning it is tiled by $N$ congruent triangles. Let the tile have angles $\alpha$ and $\beta$ satisfying … and suppose that $\alpha$ is n…