Skip to Main Content

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.

 

Steiner problems in optimal transport
HTML articles powered by AMS MathViewer

by Jonathan Dahl PDF
Trans. Amer. Math. Soc. 363 (2011), 1805-1819 Request permission

Abstract:

We study the Steiner problem of finding a minimal spanning network in the setting of a space of probability measures with metric defined by the cost of optimal transport between measures. The existence of a solution is shown for the Wasserstein space $P_p(\mathcal {X})$ over any base space $\mathcal {X}$ which is a separable, locally compact Hadamard space. Structural results are given for the case $P_2(\mathbb {R}^n)$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 49Q20, 90C35, 49J10
  • Retrieve articles in all journals with MSC (2010): 49Q20, 90C35, 49J10
Additional Information
  • Jonathan Dahl
  • Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
  • Address at time of publication: Department of Mathematics, University of California, Berkeley, California 94720
  • Email: jdahl@math.jhu.edu, jdahl@math.berkeley.edu
  • Received by editor(s): July 10, 2008
  • Published electronically: November 17, 2010
  • Additional Notes: The author would like to thank Chikako Mese for suggesting the problem and for many helpful discussions, as well as the referee for recommendations on an earlier draft.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 363 (2011), 1805-1819
  • MSC (2010): Primary 49Q20; Secondary 90C35, 49J10
  • DOI: https://doi.org/10.1090/S0002-9947-2010-05065-2
  • MathSciNet review: 2746666