Recurrence Criteria for Skew Products of Symmetric Markov Processes.
Recurrence of distributional limits of finite planar graphs.
Regular potentials of additive functionals in semidynamical systems
We consider a semidynamical system . We introduce the cone of continuous additive functionals defined on and the cone of regular potentials. We define an order relation “” on and a specific order “” on . We will investigate the properties of and and we will establish the relationship between the two cones.
Relative Densities of Semimartingales.
Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains
For domains we give exact asymptotics near the domain’s boundary for the Green function and Martin kernel of the rotation invariant α-stable Lévy process. We also obtain a relative Fatou theorem for harmonic functions of the stable process.
Remark on the conditional gauge theorem
Remarks on intersection-equivalence and capacity-equivalence
Remarks on the hypotheses of duality
Représentation des noyaux excessifs
Representations of excessive functions.
Retour sur la théorie de Littlewood-Paley
Return probabilities of a simple random walk on percolation clusters.
Revuz Measures and Time Changes.
Riesz potentials derived by one-mode interacting Fock space approach
The main aim of this short paper is to study Riesz potentials on one-mode interacting Fock spaces equipped with deformed annihilation, creation, and neutral operators with constants and , as in equations (1.4)-(1.6). First, to emphasize the importance of these constants, we summarize our previous results on the Hilbert space of analytic L² functions with respect to a probability measure on ℂ. Then we consider the Riesz kernels of order 2α, , on ℂ if , which can be derived from the Bessel...
Riesz representation and duality of Markov processes
Semi-groupes et problèmes aux limites
Sharp bounds for Green functions and jumping functions of subordinate killed Brownian motions in bounded domains.
Skorokhod stopping times of minimal variance
Skorokhod stopping via potential theory
Small-time asymptotic estimates in local Dirichlet spaces.