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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Some recent progress in singular stochastic partial differential equations
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by Ivan Corwin and Hao Shen HTML | PDF
Bull. Amer. Math. Soc. 57 (2020), 409-454 Request permission


Stochastic partial differential equations are ubiquitous in mathematical modeling. Yet, many such equations are too singular to admit classical treatment. In this article we review some recent progress in defining, approximating, and studying the properties of a few examples of such equations. We focus mainly on the dynamical $\Phi ^4$ equation, the KPZ equation, and the parabolic Anderson model, as well as a few other equations which arise mainly in physics.
Additional Information
  • Ivan Corwin
  • Affiliation: Department of Mathematics, Columbia University, 2990 Broadway, New York, New York 10027
  • MR Author ID: 833613
  • Email:
  • Hao Shen
  • Affiliation: Department of Mathematics, University of Wisconsin–Madison, 480 Lincoln Drive, Madison, Wisconsin 53706
  • MR Author ID: 1041376
  • Email:
  • Received by editor(s): April 8, 2019
  • Published electronically: September 26, 2019
  • Additional Notes: The first author was partially supported by the Packard Fellowship for Science and Engineering, and by the NSF through DMS-1811143 and DMS-1664650
    The second author was partially supported by the NSF through DMS-1712684 and DMS-1909525
  • © Copyright 2019 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 57 (2020), 409-454
  • DOI:
  • MathSciNet review: 4108091