Potential Analysis

期刊简介：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.

【译文】该期刊发表关于潜在理论及其应用、概率论、几何和泛函分析等方面的原创论文，特别是椭圆型和抛物型方程解的估计；半群分析、解核、调和空间和狄利克雷形式；马尔可夫过程、马尔可夫核、随机微分方程、扩散过程和勒维过程；扩散分析、热核和解核在分形上的分析；无限维分析、高斯分析、无限粒子系统、相互作用粒子系统、吉布斯测度、路径和环路空间的分析；与全局几何、黎曼流形上的线性和非线性分析、李群、图和其他几何结构的关系；椭圆型或抛物型方程和算子的非线性或半线性推广；调和分析、遍历理论、动力系统；边值问题、马丁边界、泊松边界等。