Results 11  20
of
78,844
Structure determinations for randomtiling quasicrystals
, 2000
"... Abstract. How, in principle, could one solve the atomic structure of a quasicrystal, modeled as a random tiling decorated by atoms, and what techniques are available to do it? One path is to solve the phase problem first, obtaining the density in a higher dimensional space which yields the averaged ..."
Abstract
 Add to MetaCart
Abstract. How, in principle, could one solve the atomic structure of a quasicrystal, modeled as a random tiling decorated by atoms, and what techniques are available to do it? One path is to solve the phase problem first, obtaining the density in a higher dimensional space which yields the averaged
RANDOM TILING TRANSITION IN THREE DIMENSIONS
, 1997
"... Threedimensional icosahedral random tilings are studied in the semientropic model. We introduce a global energy measure defined by the variance of the quasilattice points in orthogonal space. The specific heat shows a pronounced Schottky type anomaly, but it does not diverge with sample size. The ..."
Abstract
 Add to MetaCart
Threedimensional icosahedral random tilings are studied in the semientropic model. We introduce a global energy measure defined by the variance of the quasilattice points in orthogonal space. The specific heat shows a pronounced Schottky type anomaly, but it does not diverge with sample size
Nonintersecting paths, random tilings and random matrices
 Probab. Theory Related Fields
, 2002
"... Abstract. We investigate certain measures induced by families of nonintersecting paths in domino tilings of the Aztec diamond, rhombus tilings of an abchexagon, a dimer model on a cylindrical brick lattice and a growth model. The measures obtained, e.g. the Krawtchouk and Hahn ensembles, have the s ..."
Abstract

Cited by 130 (11 self)
 Add to MetaCart
Abstract. We investigate certain measures induced by families of nonintersecting paths in domino tilings of the Aztec diamond, rhombus tilings of an abchexagon, a dimer model on a cylindrical brick lattice and a growth model. The measures obtained, e.g. the Krawtchouk and Hahn ensembles, have
Diffraction of Random Tilings: Some Rigorous Results
 J. STAT. PHYS
, 1999
"... The diffraction of stochastic point sets, both Bernoulli and Markov, and of random tilings with crystallographic symmetries is investigated in rigorous terms. In particular, we derive the diffraction spectrum of 1D random tilings, of stochastic product tilings built from cuboids, and of planar rando ..."
Abstract

Cited by 30 (17 self)
 Add to MetaCart
The diffraction of stochastic point sets, both Bernoulli and Markov, and of random tilings with crystallographic symmetries is investigated in rigorous terms. In particular, we derive the diffraction spectrum of 1D random tilings, of stochastic product tilings built from cuboids, and of planar
Random tilings and Markov chains for interlacing particles
, 2015
"... We explain the relation between certain random tiling models and interacting particle systems belonging to the anisotropic KPZ (KardarParisiZhang) universality class in 2+1dimensions. The link between these two a priori disjoint sets of models is a consequence of the presence of shuffling algorit ..."
Abstract

Cited by 1 (1 self)
 Add to MetaCart
We explain the relation between certain random tiling models and interacting particle systems belonging to the anisotropic KPZ (KardarParisiZhang) universality class in 2+1dimensions. The link between these two a priori disjoint sets of models is a consequence of the presence of shuffling
The Exact Solution of an Octagonal Rectangle Triangle Random Tiling
, 1996
"... We present a detailed calculation of the recently published exact solution of a random tiling model possessing an eightfold symmetric phase. The solution is obtained using Bethe Ansatz and provides closed expressions for the entropy and phason elastic constants. Qualitatively, this model has the sa ..."
Abstract
 Add to MetaCart
We present a detailed calculation of the recently published exact solution of a random tiling model possessing an eightfold symmetric phase. The solution is obtained using Bethe Ansatz and provides closed expressions for the entropy and phason elastic constants. Qualitatively, this model has
Selfdiffusion in randomtiling quasicrystals
, 1994
"... The first explicit realization of the conjecture that phason dynamics leads to selfdiffusion in quasicrystals is presented for the icosahedral Ammann tilings. On short time scales, the transport is found to be subdiffusive with the exponent β ≈ 0.57(1), while on long time scales it is consistent wi ..."
Abstract
 Add to MetaCart
The first explicit realization of the conjecture that phason dynamics leads to selfdiffusion in quasicrystals is presented for the icosahedral Ammann tilings. On short time scales, the transport is found to be subdiffusive with the exponent β ≈ 0.57(1), while on long time scales it is consistent
Quantum phase transition in a randomtiling model
, 2000
"... Dedicated to Professor Boran Leontić on the occassion of his 70 th birthday The analogue of a MottHubbard transition is discussed, which appears at an incommensurate filling in a model of a twodimensional plane, randomly tiled with CuO4 ‘molecules’, simulating the copperoxide planes of highTc su ..."
Abstract
 Add to MetaCart
Dedicated to Professor Boran Leontić on the occassion of his 70 th birthday The analogue of a MottHubbard transition is discussed, which appears at an incommensurate filling in a model of a twodimensional plane, randomly tiled with CuO4 ‘molecules’, simulating the copperoxide planes of high
ReTiling Polygonal Surfaces
 Computer Graphics
, 1992
"... This paper presents an automatic method of creating surface models at several levels of detail from an original polygonal description of a given object. Representing models at various levels of detail is important for achieving high frame rates in interactive graphics applications and also for speed ..."
Abstract

Cited by 448 (3 self)
 Add to MetaCart
for speedingup the offline rendering of complex scenes. Unfortunately, generating these levels of detail is a timeconsuming task usually left to a human modeler. This paper shows how a new set of vertices can be distributed over the surface of a model and connected to one another to create a retiling of a
Results 11  20
of
78,844