133 citations · 795 across the 60 of their papers we have counts for
5 papers · 1 filter
Tiling Spaces are Inverse Limits
Lorenzo Sadun
Let M be an arbitrary Riemannian homogeneous space, and let Omega be a space of tilings of M, with finite local complexity (relative to some symmetry group Gamma) and closed in the…
Adiabatic charge pumping in open quantum systems
J. E. Avron, A. Elgart, G. M. Graf +2
We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian…
Oort's conjecture for A_g
Sean Keel, Lorenzo Sadun
We prove the conjecture of Oort that a compact subvariety of the moduli space of principally polarized Abelian varieties of genus g has codimension strictly greater than g, for g >…
Spherically symmetric solutions of a boundary value problem for monopoles
Antonella Marini, Lorenzo Sadun
In this paper we study spherically symmetric monopoles, which are critical points for the Yang-Mills-Higgs functional over a disk in 3 dimensions, with prescribed degree and covari…
When size matters: subshifts and their related tiling spaces
Alex Clark, Lorenzo Sadun
We investigate the dynamics of substitution subshifts and their associated tiling spaces. For a given subshift, the associated tiling spaces are all homeomorphic, but their dynamic…