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Random Tilings: Concepts and Examples
- 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
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Cited by 17 (11 self)
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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
"... 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
, 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
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Cited by 2 (1 self)
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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
"... 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
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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
"... 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
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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
, 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
, 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
"... 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 ..."
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Cited by 5 (0 self)
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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
Diffraction of the Dart-Thombus Random Tiling
, 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
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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
Results 1 - 10
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