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Spectral Properties of Image Measures Under the Infinite Conflict Interaction

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Abstract

We introduce the conflict interaction with two positions between a couple of image probability measures and consider the associated dynamical system. We prove the existence of invariant limiting measures and find the criteria for these measures to be a pure point, absolutely continuous, or singular cotinuous as well as to have any topological type and arbitary Hausdorff dimension.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, Bonn, Germany

    Sergio Albeverio

  2. BiBos, Bielefeld-Bonn, Universität Bielefeld, Bielefeld, Germany

    Sergio Albeverio

  3. SFB-611, Universität Bonn, Bonn, Germany

    Sergio Albeverio

  4. IZKS, Bonn, Germany

    Sergio Albeverio

  5. CERFIM Locarno and Acc. Arch. Locarno and USI, Switzerland

    Sergio Albeverio

  6. Institute of Mathematics, Kyiv, Ukraine

    Volodymyr Koshmanenko

  7. National Pedagogical University, Kyiv, Ukraine

    Mykola Pratsiovytyi & Grygoriy Torbin

Authors
  1. Sergio Albeverio
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  2. Volodymyr Koshmanenko
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  3. Mykola Pratsiovytyi
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  4. Grygoriy Torbin
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Correspondence to Sergio Albeverio.

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Albeverio, S., Koshmanenko, V., Pratsiovytyi, M. et al. Spectral Properties of Image Measures Under the Infinite Conflict Interaction. Positivity 10, 39–49 (2006). https://doi.org/10.1007/s11117-005-0012-3

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  • DOI: https://doi.org/10.1007/s11117-005-0012-3

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