Dataset to accompany the article

"The GOE ensemble for quasiperiodic tilings without unfolding: $r$-value statistics"

by

Uwe Grimm, uwe.grimm@open.ac.uk
School of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, MK7 6AA, UK

Rudolf A. Roemer, r.roemer@warwick.ac.uk
Department of Physics, University of Warwick, Coventry, CV4 7AL, UK

The dataset contains

- data-QP.zip: zipped .dat eigenvalue data and .inp input files to generate for quasi-periodic (QP) 2D Ammann-Beenker tilings for differnent inflation levels, sectors and parities. For example, the directory QPr-ABFSH3-4--1 contains data and input files for inflation 3, sector 4 and paraity -1.

- data-RAND.zip: zipped .dat eigenvalue data and .inp input files to generate for random (RAND) quasi-periodic 2D Ammann-Beenker tilings for differnent inflation levels and vertex flips. For example, the directory QPr-ABPN4-1-10 contains data and input files for inflation 4, diagonalized by taking into account the bipartness of the spectrum (1) and for 10 flips.

Each .dat files in both .zip folders has in the 1st lines some information about the number of eigenvalues to follow.

- SpacingDistribution5times5.nb is a Mathematica [(c) Wolfram Research] notebook to compute the 5 by 5 estimate for PGOE(r).