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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Wolfowitz’s theorem and consensus algorithms in Hadamard spaces
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by P. Grohs PDF
Proc. Amer. Math. Soc. 143 (2015), 4403-4414 Request permission

Abstract:

We provide a generalization of Wolfowitz’s theorem on the products of stochastic, indecomposable and aperiodic (SIA) matrices to metric spaces with nonpositive curvature. As a result we show convergence for a wide class of distributed consensus algorithms operating on these spaces.
References
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Additional Information
  • P. Grohs
  • Affiliation: Swiss Federal Institute of Technology - Zurich, Department of Mathematics, Raem- istrasse 101, 8092 Zurich, Switzerland
  • Received by editor(s): August 25, 2012
  • Received by editor(s) in revised form: March 20, 2014
  • Published electronically: June 16, 2015
  • Additional Notes: The research of the author was partly supported by the European Research Council under grant ERC AdG 247277, as well as by the Swiss National Fund under grant SNF 200021_140635
  • Communicated by: Walter Van Assche
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 4403-4414
  • MSC (2010): Primary 53C23, 60J20, 65P99
  • DOI: https://doi.org/10.1090/proc/12513
  • MathSciNet review: 3373939