133 citations · 795 across the 60 of their papers we have counts for
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math-ph2000★ 11 cited
Fredholm Indices and the Phase Diagram of Quantum Hall Systems
Joseph E. Avron, Lorenzo Sadun
The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic ``phase diagram'' of Fredholm indices associated w…
math.DS2000★ 11 cited
A Homeomorphism Invariant for Substitution Tiling Spaces
Nic Ormes, Charles Radin, Lorenzo Sadun
We derive a homeomorphism invariant for those tiling spaces which are made by rather general substitution rules on polygonal tiles, including those tilings, like the pinwheel, whic…
math-ph2000
Generic Jumps of Fredholm Indices and the Quantum Hall Effect
Joseph E. Avron, Lorenzo Sadun
We describe the generic behavior of Fredholm indices in the space of Toeplitz operators. We relate this behavior to certain conjectures and open problems that arise in the context…