Affine diffusions with non-canonical state space
arXiv:1004.0429
Abstract
Multidimensional affine diffusions have been studied in detail for the case of a canonical state space. We present results for general state spaces and provide a complete characterization of all possible affine diffusions with polyhedral and quadratic state space. We give necessary and sufficient conditions on the behavior of drift and diffusion on the boundary of the state space in order to obtain invariance and to prove strong existence and uniqueness.
36 pages; paper is split into two papers; results on invariance and strong solutions added