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4 papers · 1 filter
Energy spectra, wavefunctions and quantum diffusion for quasiperiodic systems
Huiqiu Yuan, Uwe Grimm, Przemyslaw Repetowicz +1
We study energy spectra, eigenstates and quantum diffusion for one- and two-dimensional quasiperiodic tight-binding models. As our one-dimensional model system we choose the silver…
Dimensions of fractals related to languages defined by tagged strings in complete genomes
Zu-Guo Yu, Bai-lin Hao, Hui-min Xie +1
A representation of frequency of strings of length K in complete genomes of many organisms in a square has led to seemingly self-similar patterns when K increases. These patterns a…
Rescaled range and transition matrix analysis of DNA sequences
Zu-Guo Yu, Guo-Yi Chen
In this paper we treat some fractal and statistical features of the DNA sequences. First, a fractal record model of DNA sequence is proposed by mapping DNA sequences to integer seq…
Universal level-spacing statistics in quasiperiodic tight-binding models
Uwe Grimm, Rudolf A. Roemer, Michael Schreiber +1
We study statistical properties of the energy spectra of two-dimensional quasiperiodic tight-binding models. The multifractal nature of the eigenstates of these models is corrobora…