标题： 准晶体问题——从统计力学观点看非周期结构的刚性 显示英文标题

标题： Quasicrystal problem -- on rigidity of non-periodic structures from statistical mechanics point of view

摘要： 我们介绍了准晶体的简要历史以及相互作用粒子的经典晶格气体模型的简短介绍。 我们讨论了非周期性镶嵌和作为某些哈密顿量基态的一维符号序列的稳定性。 我们认为，某种均匀性，即所谓的严格边界条件，对于非周期性基态在相互作用的小扰动和热涨落下的稳定性是必要的。 显示英文摘要

摘要： We present a brief history of quasicrystals and a short introduction to classical lattice-gas models of interacting particles. We discuss stability of non-periodic tilings and one-dimensional sequences of symbols seen as ground states of some hamiltonians. We argue that some sort of homogeneity, the so-called Strict Boundary Condition, is necessary for stability of non-periodic ground states against small perturbations of interactions and thermal fluctuations.