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.

  • Examines potential theory and its applications, probability theory, geometry and functional analysis
  • 100% of authors who answered a survey reported that they would definitely publish or probably publish in the journal again

Journal information

Editor-in-Chief
  • Zhen-Qing Chen
Publishing model
Hybrid. Open Access options available

Journal metrics

1.031 (2018)
Impact factor
1.135 (2018)
Five year impact factor
130 days
Submission to first decision
316 days
Submission to acceptance
18,416 (2018)
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About this journal

Electronic ISSN
1572-929X
Print ISSN
0926-2601
Abstracted and indexed in
  1. Current Contents/Physical, Chemical and Earth Sciences
  2. EBSCO Discovery Service
  3. Gale
  4. Gale Academic OneFile
  5. Google Scholar
  6. Institute of Scientific and Technical Information of China
  7. Japanese Science and Technology Agency (JST)
  8. Journal Citation Reports/Science Edition
  9. Mathematical Reviews
  10. Naver
  11. OCLC WorldCat Discovery Service
  12. ProQuest Central
  13. ProQuest Engineering
  14. ProQuest Materials Science and Engineering Database
  15. ProQuest SciTech Premium Collection
  16. ProQuest Technology Collection
  17. ProQuest-ExLibris Primo
  18. ProQuest-ExLibris Summon
  19. SCImago
  20. SCOPUS
  21. Science Citation Index
  22. Science Citation Index Expanded (SciSearch)
  23. zbMATH
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