Fixed-Parameter Extrapolation and Aperiodic Order
نویسندگان
چکیده
منابع مشابه
Molecular dynamics/order parameter extrapolation for bionanosystem simulations
A multiscale approach, molecular dynamics/order parameter extrapolation (MD/OPX), to the all-atom simulation of large bionanosystems is presented. The approach starts with the introduction of a set of order parameters (OPs) automatically generated with orthogonal polynomials to characterize the nanoscale features of bionanosystems. The OPs are shown to evolve slowly via Newton's equations, and ...
متن کاملFixed Point and Aperiodic Tilings
An aperiodic tile set was first constructed by R. Berger while proving the undecidability of the domino problem. It turned out that aperiodic tile sets appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). We present a new construction of an aperiodic tile set that is based on Kleene’s fixed-point construction instead of geometric arguments. This constr...
متن کاملAperiodic Order and Spherical Diffraction
We introduce model sets in arbitrary locally compact second countable (lcsc) groups, generalizing Meyer’s definition of a model set in a locally compact abelian group. We then provide a new formulation of diffraction theory, which unlike the classical formulation does not involve Følner sets and thus generalizes to point sets in non-amenable lcsc groups. We focus on the case of lcsc groups admi...
متن کاملSpectral Triples and Aperiodic Order
We construct spectral triples for compact metric spaces (X, d). This provides us with a new metric d̄s on X. We study its relation with the original metric d. When X is a subshift space, or a discrete tiling space, and d satisfies certain bounds we advocate that the property of d̄s and d to be Lipschitz equivalent is a characterization of high order. For episturmian subshifts, we prove that d̄s an...
متن کاملFixed point theorem and aperiodic tilings
We propose a new simple construction of an aperiodic tile set based on self-referential (fixed point) argument. People often say about some discovery that it appeared “ahead of time”, meaning that it could be fully understood only in the context of ideas developed later. For the topic of this note, the construction of an aperiodic tile set based on the fixed-point (self-referential) approach, t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ACM SIGACT News
سال: 2018
ISSN: 0163-5700
DOI: 10.1145/3289137.3289145