Affine Diffusions with Non-Canonical State Space

作者：Spreij Peter; Veerman Enno^*

来源：Stochastic Analysis and Applications, 2012, 30(4): 605-641.

DOI：10.1080/07362994.2012.684322

• Affine diffusions
• Polyhedral state space
• Quadratic state space
• Stochastic invariance
• Strong solutions

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.

• 出版日期2012