6 papers · 1 filter
Continuity of the Revuz correspondence under the absolute continuity condition
Ryoichiro Noda
In this paper, we consider standard processes that admit dual processes and satisfy the absolute continuity condition, i.e., processes possess transition densities. For such proces…
Generalized Kac's moment formula for positive continuous additive functionals of Markov processes
Naotaka Kajino, Ryoichiro Noda
We establish a formula for moments of certain random variables involving positive continuous additive functionals (PCAFs) of standard processes which have absolutely continuous tra…
Scaling limits of discrete-time Markov chains and their local times on electrical networks
Ryoichiro Noda
We establish that if a sequence of electrical networks equipped with conductance measures converges in the local Gromov--Hausdorff-vague topology and satisfies certain non-explosio…
Convergence of space-time occupation measures of stochastic processes and its application to collisions
Ryoichiro Noda
We introduce a new perspective on positive continuous additive functionals (PCAFs) of Markov processes, which we call space--time occupation measures (STOMs). This notion provides…
Aging and sub-aging for Bouchaud trap models on resistance metric spaces
Ryoichiro Noda
In this paper, we prove that if a sequence of electrical networks converges in the local Gromov-Hausdorff topology and satisfies a non-explosion condition, then the associated Bouc…
Convergence of local times of stochastic processes associated with resistance forms
Ryoichiro Noda
In this paper, it is shown that if a sequence of resistance metric spaces equipped with measures converges with respect to the local Gromov-Hausdorff-vague topology, and certain no…