Badly approximable numbers and Delone sets

Shigeki Akiyama (U of Tsukuba)

Apr 25. 2025, 11:30 — 12:00

Delone sets having statistically circular symmetry is produced by Pinwheel tiling, whose pieces have infinitely many different angles.  The angle obtained by this method is arctan(1/2) which is incomensurable to \pi.  We discuss construction of Delone set using badly approximable numbers. Then we have to solve a linear equaition x+y+z=1 over badly approximable numbers. We find two best solutions for this equation and  apply  this solutions to create a new Delone set. This is a joint work with Yan-li Xu and Emily Korfanty.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Uniform Distribution of Sequences (Workshop)
Organizer(s):
Henk Bruin (U of Vienna)
Robbert Fokkink (TU Delft)
Jörg Thuswaldner (Montanuniversität Leoben)