该期刊发表了关于势理论及其应用、概率论、几何和泛函分析,特别是椭圆方程和抛物方程解的估计的原始论文;半群、分解核、调和空间和狄利克雷形式的分析马尔可夫过程、马尔可夫核、随机微分方程、扩散过程和利维过程;分形上的扩散、热核和预分解核的分析无限维分析,高斯分析,无限粒子系统分析,相互作用粒子系统分析,吉布斯测量,路径和回路空间分析;与全局几何的联系,黎曼流形、李群、图等几何结构的线性和非线性分析;椭圆或抛物型方程和算子的非线性或半线性推广;谐波分析,遍历理论,动力系统;边值问题,马丁边界,泊松边界。
This 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; and boundary value problems, Martin boundaries, Poisson boundaries.
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