UNIQUELY ERGODIC MINIMAL TILING SPACES WITH POSITIVE ENTROPY
Ian Palmer, Jean Bellissard · 2009
Abstract. Strictly ergodic spaces of tilings with positive entropy are constructed using tools from information and probability theory. Statistical estimates are made to create a one-dimensional subshift with these dynamical properties, yielding a space of repetitive tilings of R D with finite local complexity that is also equivalent to a symbolic dynamical system with a Z D action. 1.