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Wolfowitz's theorem and consensus algorithms in Hadamard spaces

by P. Grohs

(Report number 2012-27)

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.

Keywords:

@Techreport{G12_470,
  author = {P. Grohs},
  title = {Wolfowitz's theorem and consensus algorithms in Hadamard spaces},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2012-27},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2012/2012-27.pdf },
  year = {2012}
}

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