The journal publishes original papers dealing with potential theory and its applications| probability theory| geometry and functional analysis and in particular 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.
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