2004/03/17 by Olivier Giraud, Jens Marklof, Stephen O'Keefe · 1 citation
Physics and Astronomy · #nlin.CD
paper · pdf · doi:10.1088/0305-4470/37/28/l01
published as Journal of Physics A 37 (2004) L303-L311
arxiv created 2004/03/17 · arxiv updated 2009/12/01
We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.