60 citations · 71 across the 5 of their papers we have counts for
5 papers
Criticality of Schrödinger Forms and Recurrence of Dirichlet Forms
Masayoshi Takeda, Toshihiro Uemura
Introducing the notion of extended Schrödinger spaces, we define the criticality and subcriticality of Schrödinger forms in the same manner as the recurrence and transience of Diri…
Existence and Uniqueness of Quasi-Stationary Distributions for Symmetric Markov Processes with Tightness Property
Masayoshi Takeda
Let be an irreducible symmetric Markov process with the strong Feller property. We assume, in addition, that is explosive and has a tightness property. We then prove the ex…
The bottom of the spectrum of time-changed processes and the maximum principle of Schrödinger operators
Masayoshi Takeda
We give a necessary and sufficient condition for the maximum principle of Schrödinger operators in terms of the bottom of the spectrum of time-changed processes. As a corollary, we…
Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms
Masayoshi Takeda, Gerald Trutnau
Let E be an unbounded open (or closed) domain in Euclidean space of dimension greater or equal to two. We present conservativeness criteria for (possibly reflected) diffusions with…
Absolute continuity of symmetric Markov processes
Z. -Q. Chen, P. J. Fitzsimmons, M. Takeda +2
We study Girsanov's theorem in the context of symmetric Markov processes, extending earlier work of Fukushima-Takeda and Fitzsimmons on Girsanov transformations of ``gradient type.…