POTENTIAL ANALYSIS Q2区

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.

该杂志发表的原始论文涉及潜在的理论及其应用，概率论，几何和功能分析，特别是估计的解决方案的椭圆和抛物线方程;半群、预解核、调和空间和Dirichlet形式的分析;马尔可夫过程、马尔可夫核、随机微分方程、扩散过程和Levy过程;分形上的扩散、热核和预解核的分析;无限维分析、高斯分析、无限粒子系统的分析、相互作用粒子系统的分析、吉布斯测量的分析、路径和回路空间的分析;与整体几何的联系，黎曼流形上的线性和非线性分析，李群，图形和其他几何结构;椭圆或抛物线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、Martin边界、Poisson边界等。

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