Potential processes

Potential Operators for Markov Processes

Yosida's definition of potential operators for semigroups [17] makes it possible to deal with transient Markov processes and a class of recurrent Markov processes in a unified operator theoretical way. In this paper, we prove some general properties of his potential operators, show which Markov processes admit the potential operators, and investigate the cases of processes with stationary indep...

Learning Analytics: Definitions, Processes and Potential

Potential-energy Surfaces, Unimolecular Processes and Spectroscopy

The present symposium brings together research in a number of fields: the quantum-chemical calculation of molecular potential-energy surfaces, rotational-vibrational spectroscopy, methods of calculating rotational-vibrational energy levels, unimolecular reactions and intramolecular dynamics. Several aspects of the work are discussed, including some recent developments on rates and products' qua...

Potential Theory of Truncated Stable Processes

R d with a Lévy density given by c|x| 1{|x|<1} for some constant c. In this paper we study the potential theory of truncated symmetric stable processes in detail. We prove a Harnack inequality for nonnegative harmonic nonnegative functions of these processes. We also establish a boundary Harnack principle for nonnegative functions which are harmonic with respect to these processes in bounded co...

Potential Theory of Geometric Stable Processes

In this paper we study the potential theory of symmetric geometric stable processes by realizing them as subordinate Brownian motions with geometric stable subordinators. More precisely, we establish the asymptotic behaviors of the Green function and the Lévy density of symmetric geometric stable processes. The asymptotics of these functions near zero exhibit features that are very different fr...