title: Multidimensional period doubling structures.
abstract: This paper develops the formalism necessary to generalize the period doubling sequence to arbitrary dimension by straightforward extension of the substitution and recursion rules. It is shown that the period doubling structures of arbitrary dimension are pure point diffractive. The symmetries of the structures are pointed out.
authors.affiliation: Department of Mathematical Education, Catholic Kwandong University, Gangneung, Republic of Korea.
authors.forename: Jeong Yup
authors.initials: JY
authors.lastname: Lee
authors.affiliation: Department of Physics, Ben-Gurion University of the Negev, Beer-Sheba, Israel.
authors.forename: Dvir
authors.initials: D
authors.lastname: Flom
authors.affiliation: Department of Physics, Ben-Gurion University of the Negev, Beer-Sheba, Israel.
authors.forename: Shelomo I
authors.initials: SI
authors.lastname: Ben-Abraham
keywords: aperiodic structures; period doubling structures; pure point diffraction