Potential Analysis

Aims & Scope

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.

View Aims & Scope

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Metrics & Ranking

SJR (SCImago Journal Rank)

Year	Value
2024	0.907

Quartile

Year	Value
2024	Q1

h-index

Year	Value
2024	51

Impact Factor

Year	Value
2024	1.00

Journal Rank

Year	Value
2024	5636

Journal Citation Indicator

Year	Value
2024	217

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Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

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Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

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Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• Stochastic Analysis of the Fractional Brownian Motion

  Citation: 523

  Authors: L., A.S.

• Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths

  Citation: 373

  Authors: Laurent, Mingshang, Shige

• Sobolev spaces on an arbitrary metric space

  Citation: 335

  Authors: Piotr

• On a spectral analysis for the Sierpinski gasket

  Citation: 179

  Authors: M., T.

• Harnack Inequalities for Jump Processes

  Citation: 148

  Authors: Richard F., David A.

• Perturbation of Dirichlet forms by measures

  Citation: 148

  Authors: Peter, J�rgen

• Lattice Approximations for Stochastic Quasi-Linear Parabolic Partial Differential Equations driven by Space-Time White Noise II

  Citation: 119

  Authors: István

• On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

  Citation: 112

  Authors: A., M. A., D. R. M.

• The Dirichlet Energy Integral and Variable Exponent Sobolev Spaces with Zero Boundary Values

  Citation: 108

  Authors: Petteri, Peter, Mika, Susanna

• Stochastic Evolution Equations of Jump Type: Existence, Uniqueness and Large Deviation Principles

  Citation: 106

  Authors: Michael, Tusheng

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