OP-00025 Open Finitely many jumps in the integrated density of states of a linearly repetitive tiling SP · aperiodic order · graph Laplacian · integrated density of states · linear repetitivity · locally supported eigenfunctions
OP-00026 Open Hölder continuity of the boat–star integrated density of states at the spectral edges SP · aperiodic order · Hölder continuity · integrated density of states · Penrose tiling · spectral edges
OP-00027 Open Interior, edge intervals and edge regularity for the Robinson triangle tiling Laplacian SP · Cantor spectrum · graph Laplacian · integrated density of states · Penrose tiling · Robinson triangles