pith. sign in

arxiv: 1703.09987 · v2 · pith:NKIQZC7Vnew · submitted 2017-03-29 · 🧮 math.PR · math.AP· math.FA

Dirichlet form associated with the Φ₃⁴ model

classification 🧮 math.PR math.APmath.FA
keywords formdirichletassociatedbilinearclassicalgradientmeasuremodel
0
0 comments X
read the original abstract

We construct the Dirichlet form associated with the dynamical $\Phi^4_3$ model obtained in [Hai14, CC13] and [MW16]. This Dirichlet form on cylinder functions is identified as a classical gradient bilinear form. As a consequence, this classical gradient bilinear form is closable and then by a well-known result its closure is also a quasi-regular Dirichlet form, which means that there exists another (Markov) diffusion process, which also admits the $\Phi^4_3$ field measure as an invariant (even symmetrizing) measure.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.