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Heat kernels on infinite graph networks and deformed Sierpinski gaskets

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Abstract

We shall calculate the local asymptotic decay order of heat kernels on general infinite graph networks. We shall also study deformed Sierpinski gaskets by introducing a new dimension closely related to the spectral dimension.

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Authors and Affiliations

  1. Department of Mathematics, College of General Education, Tôhoku University, Kawauchi, 980, Sendai, Japan

    Masami Okada

  2. College of General Education, Tôhoku Gakuin University, Ichinazaka, 981-31, Sendai, Japan

    Takeshi Sekiguchi

  3. Department of Mathematics, Akita University, Tegata, 010, Akita, Japan

    Yasunobu Shiota

Authors
  1. Masami Okada
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  2. Takeshi Sekiguchi
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  3. Yasunobu Shiota
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Okada, M., Sekiguchi, T. & Shiota, Y. Heat kernels on infinite graph networks and deformed Sierpinski gaskets. Japan J. Appl. Math. 7, 527–543 (1990). https://doi.org/10.1007/BF03167858

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  • DOI: https://doi.org/10.1007/BF03167858

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