Let A(a 1 , · · · , a n) be the finite dimensional, complex Grassmann algebra freely generated by a 1 , · · · , a n. Let M r =
This survey introduces a class of infinite genus Riemann surfaces, specified by means of a number of geometric axioms, to which the classical theory of compact Riemann surfaces up to and including the Torelli Theorem extends. The axioms are flexible enough to include a number of interesting examples, such as the heat curve. We discuss this example and its… (More)
We consider Schrödinger operators with periodic magnetic field having zero flux through a fundamental cell of the period lattice. We show that, for a generic small magnetic field and a generic small Fermi energy, the corresponding Fermi surface is convex and not invariant under inversion in any point.
The general restrictions on all economic primitives (i.e., (a) endowments, (b) preferences, and (c) asset return distributions) that yield the CAPM under the expected utility paradigm are provided. These results are then used to derive the class of restrictions on preferences and the distribution of asset returns alone that provides the CAPM. We also show… (More)
In a series of ten papers, of which this is the first, we prove that the temperature zero renormalized perturbation expansions of a class of interacting many– fermion models in two space dimensions have nonzero radius of convergence. The models have " asymmetric " Fermi surfaces and short range interactions. One consequence of the convergence of the… (More)
The distribution and ultrastructure of Merkel cells in the hard palate was investigated in the squirrel monkey (Saimiri sciureus) after fixation by vascular perfusion. Merkel cells were clustered at the base of the epithelial rete pegs of the hard palate. They were characterized by concentrations of dense-cored granules and closely associated… (More)
The 1=N expansion is a popular tool for investigating non-perturbative long range phenomena. In many body models, discretization of the Fermi surface naturally introduces a many component picture. If, for example, number symmetry is broken, N (e 1) (d1) where > 0 is the bare coupling constant. We expect that this intrinsic 1=N expansion appears whenever the… (More)