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Communication, Dynamics, and Renormalization

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Algorithms and Complexity (CIAC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9079))

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Abstract

This paper explores a general strategy for analyzing network-based dynamical systems. The starting point is a method for parsing an arbitrary sequence of graphs over a given set of nodes. The technique is then harnessed to carry out a dynamic form of renormalization for averaging-based systems. This analytical framework allows us to formulate new criteria for ensuring the asymptotic periodicity of diffusive influence systems.

This work was supported in part by NSF grants CCF-0963825 and CCF-1420112. Part of it was done when the author was an Addie and Harold Broitman Member at the Institute for Advanced Study, Princeton, NJ.

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Author information

Authors and Affiliations

  1. Department of Computer Science, Princeton University Princeton, Princeton, NJ, 08540, USA

    Bernard Chazelle

Authors
  1. Bernard Chazelle
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Correspondence to Bernard Chazelle .

Editor information

Editors and Affiliations

  1. LAMSADE, Université Paris-Dauphine, Paris Cedex 16, France

    Vangelis Th. Paschos

  2. Inst. of Theoretical Computer Science, ETH Zürich, Zürich, Switzerland

    Peter Widmayer

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Chazelle, B. (2015). Communication, Dynamics, and Renormalization. In: Paschos, V., Widmayer, P. (eds) Algorithms and Complexity. CIAC 2015. Lecture Notes in Computer Science(), vol 9079. Springer, Cham. https://doi.org/10.1007/978-3-319-18173-8_1

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  • DOI: https://doi.org/10.1007/978-3-319-18173-8_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18172-1

  • Online ISBN: 978-3-319-18173-8

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