When shape matters: deformations of tiling spaces
Alex J Clark, Lorenzo Sadun · Ergodic Theory and Dynamical Systems · 2006
We investigate the dynamics of tiling dynamical systems and their deformations. If two tiling systems have identical combinatorics, then the tiling spaces are homeomorphic, but their dynamical properties may differ. There is a natural map is asymptotically negligible. Finally, we give criteria for a (deformed) substitution tiling space to be topologically weakly mixing.