Dirichlet forms associated with systems of infinitely many Brownian balls in ℝd are studied. Introducing a linear operator L0 defined on a space of smooth local functions, we show the uniqueness of Dirichlet forms associated with self adjoint Markovian extensions of L0. We also discuss the ergodicity of the reversible process associated with the Dirichlet form.
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty