Results 301 to 307 of about 650,097 (307)

Combining random number generators using cut and project sequences

Czechoslovak Journal of Physics, 2001
This paper discusses the use of aperiodic (binary or ternary) sequences in combining pseudorandom number generators (RNG). We introduce a method for combining two or three RNGs using cut and project sequences. This combination method produces aperiodic number sequences having no lattice structure. Theoretical results are announced.
Louis-Sébastien Guimond, Jiří Patera, Jan Patera   +2 more
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Finite graphs associated with a cut-and-project set

Czechoslovak Journal of Physics, 2001
A chain of finite graphsGm can be associated with a cut-and-project set in a natural way [J. Phys. A: Math. Gen.33 (2000) 2917]. The chain of Schrodinger type operatorsHm we define in this short note, may be useful in the description of the physical properties of quasicrystals.
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Substitution rules for aperiodic sequences of the cut and project type

Journal of Physics A: Mathematical and General, 2000
Summary: We consider one-dimensional aperiodic sequences arising from a cut-and-project scheme with quadratic unitary Pisot numbers \(\beta\). A construction of the substitution rule is described under rather general assumptions. It allows one to build a given cut-and-project sequence \(\Sigma_\beta(\Omega)\) starting from its arbitrary point.
Masáková, Zuzana, Patera, Jiří, Pelantová, Edita   +2 more
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Algebraic numbers and ammann bars in cut-and-project schemes

Ferroelectrics, 2001
Abstract Ammann bars have been observed in many quasicrystals and have a number of uses. However, they are a non-generic feature of cut-and-project sets with random placings of the physical and internal spaces relative to the lattice. I shall describe an intimate connexion between Ammann bars and the method of constructing a cut-and-project set from a ...
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Quasiperiodic tilings: cut and projection

1999
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Cut-and-project sets in locally compact Abelian groups

1998
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Designer quasicrystals: Cut-and-project sets with pre-assigned properties

2000
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