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

1.353 (2019)
Impact factor
1.245 (2019)
Five year impact factor
167 days
Submission to first decision
359 days
Submission to acceptance
19,388 (2019)
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Latest articles

This journal has 76 open access articles

Journal updates

  • COVID-19 and impact on peer review

    As a result of the significant disruption that is being caused by the COVID-19 pandemic we are very aware that many researchers will have difficulty in meeting the timelines associated with our peer review process during normal times.  Please do let us know if you need additional time. Our systems will continue to remind you of the original timelines but we intend to be highly flexible at this time.

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About this journal

Electronic ISSN
1572-929X
Print ISSN
0926-2601
Abstracted and indexed in
  1. CNKI
  2. Current Contents/Physical, Chemical and Earth Sciences
  3. Japanese Science and Technology Agency (JST)
  4. Journal Citation Reports/Science Edition
  5. Mathematical Reviews
  6. ProQuest Central
  7. ProQuest Engineering
  8. ProQuest Materials Science and Engineering Database
  9. ProQuest SciTech Premium Collection
  10. ProQuest Technology Collection
  11. SCImago
  12. SCOPUS
  13. Science Citation Index
  14. Science Citation Index Expanded (SciSearch)
  15. UGC-CARE List (India)
  16. zbMATH
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