133 citations · 795 across the 60 of their papers we have counts for
5 papers · 1 filter
Periodic diffraction patterns for 1D quasicrystals
Pawel Buczek, Lorenzo Sadun, Janusz Wolny
A simple model of 1D structure based on a Fibonacci sequence with variable atomic spacings is proposed. The model allows for observation of the continuous transition between period…
Conjugacies for Tiling Dynamical Systems
Charles Holton, Charles Radin, Lorenzo Sadun
We consider tiling dynamical systems and topological conjugacies between them. We prove that the criterion of being finite type is invariant under topological conjugacy. For substi…
When Shape Matters: Deformations of Tiling Spaces
Alex Clark, Lorenzo Sadun
We investigate the dynamics of tiling dynamical systems and their deformations. If two tiling systems have identical combinatorics, then the tiling spaces are homeomorphic, but the…
Transport and Dissipation in Quantum Pumps
J. E. Avron, A. Elgart, G. M. Graf +1
This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It de…
Uniqueness and Symmetry in Problems of Optimally Dense Packings
Lewis Bowen, Charles Holton, Charles Radin +1
We analyze the general problem of determining optimally dense packings, in a Euclidean or hyperbolic space, of congruent copies of some fixed finite set of bodies. We are strongly…