146 citations · 151 across the 3 of their papers we have counts for
3 papers
cond-mat.mes-hall2000★ 146 cited
Geometry, Statistics and Asymptotics of Quantum Pumps
J. E. Avron, A. Elgart, G. M. Graf +1
We give a pedestrian interpretation of a formula of Buttiker et. al. (BPT) relating the adiabatically pumped current to the S matrix and its (time) derivatives. We relate the charg…
math-ph1998
On Angles Whose Squared Trigonometric Functions are Rational
John H. Conway, Charles Radin, Lorenzo Sadun
We consider the rational linear relations between real numbers whose squared trigonometric functions have rational values, angles we call ``geodetic''. We construct a convenient ba…
math.DS1997★ 5 cited
An Algebraic Invariant for Substitution Tiling Systems
Charles Radin, Lorenzo Sadun
We consider tilings of Euclidean spaces by polygons or polyhedra, in particular, tilings made by a substitution process, such as the Penrose tilings of the plane. We define an isom…