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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.


Constructing discrete harmonic functions in wedges
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by Viet Hung Hoang, Kilian Raschel and Pierre Tarrago PDF
Trans. Amer. Math. Soc. 375 (2022), 4741-4782 Request permission


We propose a systematic construction of signed harmonic functions for discrete Laplacian operators with Dirichlet conditions in the quarter plane. In particular, we prove that the set of harmonic functions is an algebra generated by a single element, which conjecturally corresponds to the unique positive harmonic function.
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Additional Information
  • Viet Hung Hoang
  • Affiliation: Institut Denis Poisson, UMR CNRS 7013, Université de Tours et Université d’Orléans, Parc de Grandmont, 37200 Tours, France
  • Email:
  • Kilian Raschel
  • Affiliation: Laboratoire Angevin de Recherche en Mathématiques, UMR CNRS 6093, Université d’Angers, 2 Boulevard Lavoisier, 49000 Angers, France
  • MR Author ID: 915164
  • Email:
  • Pierre Tarrago
  • Affiliation: Laboratoire de Probabilités, Statistique et Modélisation, UMR CNRS 8001, Sorbonne Université, 4 Place Jussieu, 75005 Paris, France
  • MR Author ID: 1129484
  • Email:
  • Received by editor(s): November 8, 2020
  • Received by editor(s) in revised form: November 7, 2021
  • Published electronically: April 26, 2022
  • Additional Notes: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under the Grant Agreement No. 759702.
  • © Copyright 2022 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 375 (2022), 4741-4782
  • MSC (2020): Primary 31C35, 60G50; Secondary 60J45, 60J50, 31C20
  • DOI:
  • MathSciNet review: 4439490