Rp. Taylor et al., CORRELATION-ANALYSIS OF SELF-SIMILARITY IN SEMICONDUCTOR BILLIARDS, Physical review. B, Condensed matter, 56(20), 1997, pp. 12733-12736
We introduce a correlation analysis that quantifies the-emergence of s
elf-similarity observed in the magnetoconductance of a semiconductor b
illiard as it undergoes the transition from a square (nominally noncha
otic) to Sinai (chaotic) geometry. We explain why the observed hierarc
hy of structure is limited to three scales and discuss possible ways o
f increasing this number.