Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces

Details Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces

1999-01-17

arxiv.org/abs/math-ph/9901008v1

J. Phys. A 31 (1998) 5755-5765

Physics

Mathematical Physics

11 pages, 2 figures; dedicated to Peter Kramer on the occasion of his 65th birthday

Scientific paper

10.1088/0305-4470/31/27/006

Model sets (or cut and project sets) provide a familiar and commonly used method of constructing and studying nonperiodic point sets. Here we extend this method to situations where the internal spaces are no longer Euclidean, but instead spaces with p-adic topologies or even with mixed Euclidean/p-adic topologies. We show that a number of well known tilings precisely fit this form, including the chair tiling and the Robinson square tilings. Thus the scope of the cut and project formalism is considerably larger than is usually supposed. Applying the powerful consequences of model sets we derive the diffractive nature of these tilings.

Affiliated with

Also associated with

No associations

Rating

Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limit-(quasi)periodic point sets as quasicrystals with p-adic internal spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-575210