Abstract
We present and prove new characterizations of parabolicity and stochastic completeness for a general weighted manifold M as well as the uniqueness of the Markov extensions of the Laplacian in terms of Greenʼs formula. Moreover, we study the relationship between those properties and the singularity of M in terms of a fractal dimension and capacity.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.