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Random Tilings: Concepts and Examples

by C Richard, M Höffe, J Hermisson, M Baake - J. PHYS. A: MATH. GEN , 1998
"... We introduce a concept for random tilings which, comprising the conventional one, is also applicable to tiling ensembles without height representation. In particular, we focus on the random tiling entropy as a function of the tile densities. In this context, and under rather mild assumptions, we pr ..."
Abstract - Cited by 17 (11 self) - Add to MetaCart
We introduce a concept for random tilings which, comprising the conventional one, is also applicable to tiling ensembles without height representation. In particular, we focus on the random tiling entropy as a function of the tile densities. In this context, and under rather mild assumptions, we

Random Tilings - NSF Proposal

by Jim Propp
"... this document shows a random domino-tiling of the Aztec diamond of order 64, generated by domino-shuffling software written in 1993 by my undergraduate assistant Sameera Iyengar. This picture, and others like it, suggested that there is a qualitative difference between the behavior of a random tili ..."
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this document shows a random domino-tiling of the Aztec diamond of order 64, generated by domino-shuffling software written in 1993 by my undergraduate assistant Sameera Iyengar. This picture, and others like it, suggested that there is a qualitative difference between the behavior of a random

Thermodynamics Of Random Tiling Quasicrystals

by Franz Gähler , 1995
"... Random tiling models in two and three dimensions, equipped with a matching rule interaction, are studied by Monte Carlo (MC) simulations. An accelerated MC algorithm due to G. Barkema is used, which allows to make a MC move at every time step. By entropic sampling techniques, the entropy as a func ..."
Abstract - Cited by 2 (1 self) - Add to MetaCart
Random tiling models in two and three dimensions, equipped with a matching rule interaction, are studied by Monte Carlo (MC) simulations. An accelerated MC algorithm due to G. Barkema is used, which allows to make a MC move at every time step. By entropic sampling techniques, the entropy as a

THERMODYNAMICS OF RANDOM TILING QUASICRYSTALS

by Franz G Ähler
"... Random tiling models in two and three dimensions, equipped with a matching rule interaction, are studied by Monte Carlo (MC) simulations. An accelerated MC algorithm due to G. Barkema is used, which allows to make a MC move at every time step. By entropic sampling techniques, the entropy as a functi ..."
Abstract - Add to MetaCart
Random tiling models in two and three dimensions, equipped with a matching rule interaction, are studied by Monte Carlo (MC) simulations. An accelerated MC algorithm due to G. Barkema is used, which allows to make a MC move at every time step. By entropic sampling techniques, the entropy as a

THERMODYNAMICS OF RANDOM TILING QUASICRYSTALS

by unknown authors
"... ABSTRACT Random tiling models in two and three dimensions, equipped with a matching rule inter-action, are studied by Monte Carlo (MC) simulations. An accelerated MC algorithm due to G. Barkema is used, which allows to make a MC move at every time step. By entropicsampling techniques, the entropy as ..."
Abstract - Add to MetaCart
ABSTRACT Random tiling models in two and three dimensions, equipped with a matching rule inter-action, are studied by Monte Carlo (MC) simulations. An accelerated MC algorithm due to G. Barkema is used, which allows to make a MC move at every time step. By entropicsampling techniques, the entropy

SOLVABLE RECTANGLE TRIANGLE RANDOM TILINGS

by J. De Gier, B. Nienhuis , 1997
"... We show that a rectangle triangle random tiling with a tenfold symmetric phase is solvable by Bethe Ansatz. After the twelvefold square triangle and the eightfold rectangle triangle random tiling, this is the third example of a rectangle triangle tiling which is solvable. A Bethe Ansatz solution pro ..."
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We show that a rectangle triangle random tiling with a tenfold symmetric phase is solvable by Bethe Ansatz. After the twelvefold square triangle and the eightfold rectangle triangle random tiling, this is the third example of a rectangle triangle tiling which is solvable. A Bethe Ansatz solution

flip dynamics in random tilings

by Nicolas Destainville, Universite ́ Paul Sabatier , 2008
"... Pavage aléatoire, partitions aléatoires et processus de croissance stochastique 01–06 septembre 2008 ..."
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Pavage aléatoire, partitions aléatoires et processus de croissance stochastique 01–06 septembre 2008

Diffraction of the Dart-Rhombus Random Tiling

by Moritz Höffe
"... The diffraction spectrum of the dart-rhombus random tiling of the plane is derived in rigorous terms. Using the theory of dimer models, it is shown that it consists of Bragg peaks and an absolutely continuous diffuse background, but no singular continuous component. The Bragg part is given explicitl ..."
Abstract - Cited by 5 (0 self) - Add to MetaCart
The diffraction spectrum of the dart-rhombus random tiling of the plane is derived in rigorous terms. Using the theory of dimer models, it is shown that it consists of Bragg peaks and an absolutely continuous diffuse background, but no singular continuous component. The Bragg part is given

random tilings with any

by N. Destainville , 2006
"... entropy and phason elastic constants of plane ..."
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entropy and phason elastic constants of plane

Diffraction of the Dart-Thombus Random Tiling

by Moritz Höffe , 1999
"... The diffraction spectrum of the dart-rhombus random tiling of the plane is derived in rigorous terms. Using the theory of dimer models, it is shown that it consists of Bragg peaks and an absolutely continuous diffuse background, but no singular continuous component. The Bragg part is given explicitl ..."
Abstract - Add to MetaCart
The diffraction spectrum of the dart-rhombus random tiling of the plane is derived in rigorous terms. Using the theory of dimer models, it is shown that it consists of Bragg peaks and an absolutely continuous diffuse background, but no singular continuous component. The Bragg part is given
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