A class of infinite dimensional
stochastic processes with
unbounded diffusion and its
associated Dirichlet forms
John Karlsson
Linköping Studies in Science and Technology. Dissertations No. 1699 Joh n K arl ss on A c la ss o f i nfi nit e d im en sio na l s to ch as tic p ro ce ss es w ith u nb ou nd ed d iff us ion a nd i ts a ss oc ia te d D iric hle t f orm s 20 15
INSTITUTE OF TECHNOLOGY
Linköping Studies in Science and Technology, Dissertations No. 1699, 2015 Department of Mathematics
Linköping University SE-58183 Linköping, Sweden
www. liu.se
Joh n K arl ss on A c la ss o f i nfi nit e d im en sio na l s to ch as tic p ro ce ss es w ith u nb ou nd ed d iff us ion a nd i ts a ss oc ia te d D iric hle t f orm s 20 15This thesis consists of two papers focused on a particular type of diffusion type Dirichlet form. This Dirichlet form has an in general unbounded diffusion operator and in the first paper, properties such as closability and quasi-regularity is investigated. This study is done both in a flat setting and on a Riemannian manifold.
The second paper focus on the associated infinite dimen-sional process. In this paper properties such as conver-gence in distribution and quadratic variation is considered.
