1 6 Ja n 20 09 Consumption and Portfolio Rules for Time

6 Ja n 20 09 Atom chips and one - dimensional Bose gases

ar X iv : 0 80 6 . 01 70 v 3 [ m at h . Q A ] 1 9 Ja n 20 09 WEIGHT MULTIPLICITY POLYNOMIALS OF MULTI - VARIABLE WEYL MODULES

This paper is based on the observation that dimension of weight spaces of multi-variable Weyl modules depends polynomially on the highest weight (Conjecture 1). We support this conjecture by various explicit answers for up to three variable cases and discuss the underlying combinatorics.

Optimal Rules of Thumb for Consumption and Portfolio Choice

Conventional rules of thumb represent simple, but potentially inefficient, alternatives to dynamic programming solutions. This paper seeks an intermediate ground by developing a framework for selecting optimal rules of thumb. Defining rules of thumb as simple functions of state variables, I solve for the optimal parameters of specific rules of thumb for portfolio choice and consumption. In the ...

1 1 Ja n 20 09 Trace coordinates on Fricke spaces of some simple hyperbolic surfaces

ar X iv : 0 81 2 . 04 22 v 2 [ m at h . D G ] 1 6 Ja n 20 09 On the ∂ - and ∂̄ - Operators of a Generalized Complex Structure ∗

In this note, we prove that the ∂and ∂̄-operators introduced by Gualtieri for a generalized complex structure coincide with the d̆∗and ∂̆-operators introduced by Alekseev-Xu for Evens-Lu-Weinstein modules of a Lie bialgebroid.