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Convergence of Distributions on Paths

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Fundamentals of Computation Theory (FCT 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 14292))

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Abstract

We study the convergence of distributions on finite paths of weighted digraphs, namely the family of Boltzmann distributions and the sequence of uniform distributions. Targeting applications to the convergence of distributions on paths, we revisit some known results from reducible nonnegative matrix theory and obtain new ones, with a systematic use of tools from analytic combinatorics. In several fields of mathematics, computer science and system theory, including concurreny theory, one frequently faces non strongly connected weighted digraphs encoding the elements of combinatorial structures of interest; this motivates our study.

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Authors and Affiliations

  1. Université Paris Cité, CNRS, IRIF, 75013, Paris, France

    Samy Abbes

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  1. Samy Abbes
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Correspondence to Samy Abbes .

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Editors and Affiliations

  1. University of Trier, Trier, Germany

    Henning Fernau

  2. University of Kiel, Kiel, Germany

    Klaus Jansen

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Abbes, S. (2023). Convergence of Distributions on Paths. In: Fernau, H., Jansen, K. (eds) Fundamentals of Computation Theory. FCT 2023. Lecture Notes in Computer Science, vol 14292. Springer, Cham. https://doi.org/10.1007/978-3-031-43587-4_1

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  • DOI: https://doi.org/10.1007/978-3-031-43587-4_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-43586-7

  • Online ISBN: 978-3-031-43587-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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