The journal publishes original papers dealing with potential theory and its applications focusing on the following areas: Estimations of the solutions of elliptic and parabolic equations; analysis of semi-groups resolvent kernels harmonic spaces and Dirichlet forms; Markov processes Markov kernels stochastic differential equations diffusion processes and Levy processes; analysis of diffusions heat kernels and resolvent kernels on fractals; infinite dimensional analysis Gaussian analysis analysis of infinite particle systems of interacting particle systems of Gibbs measures of path and loop spaces; connections with global geometry linear and non-linear analysis on Riemannian manifolds Lie groups graphs and other geometric structures; non-linear or semilinear generalizations of elliptic or parabolic equations and operators; harmonic analysis ergodic theory dynamical systems; boundary value problems Martin boundaries Poisson boundaries etc.