Palindromic complexity of aperiodic words modeling one-dimensional quasicrystals
One-dimensional quasicrystals can be modeled by infinite aperiodic words over a finite alphabet. To understand physical properties of these materials, it is helpful to study combinatorial properties of infinite aperiodic words. The palindromic structure of infinite words describes local symmetry of the material.
This contribution will be devoted to the palindromic structure of the infinite words which are fixed points of the substitution corresponding to an eventually periodic Renyi expansion of 1.