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10 papers · 1 filter
Scattering theory and discrete-time quantum walks
Edgar Feldman, Mark Hillery
We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are int…
Arithmetic properties of eigenvalues of generalized Harper operators on graphs
J. Dodziuk, V. Mathai, S. Yates
Let $\Qbar$ denote the field of complex algebraic numbers. A discrete group is said to have the -multiplier algebraic eigenvalue property, if for every matrix with entri…
Extensions with the approximation and cover properties have no new large cardinals
Joel David Hamkins
If an extension Vbar of V satisfies the delta approximation and cover properties for classes and V is a class in Vbar, then every suitably closed embedding j:Vbar to Nbar in Vbar w…
The effective action for edge states in higher dimensional quantum Hall systems
Dimitra Karabali, V. P. Nair
We show that the effective action for the edge excitations of a quantum Hall droplet of fermions in higher dimensions is generically given by a chiral bosonic action. We explicitly…
A Universal Approach to Self-Referential Paradoxes, Incompleteness and Fixed Points
Noson S. Yanofsky
Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme. We demonstrate thes…
Dark Matter as Dark Energy
Ramzi R. Khuri
Velocity-dependent interactions in a fundamental-string dominated universe lead quite naturally, with reasonable assumptions on initial conditions, to an accelerating expanding uni…