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Li–Yorke and distributional chaos for weighted shifts on directed trees

  • Chol San Kim

    Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

    • Hyon Hui Ju

      Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

      • Jun Hyok Choe

        Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea

        • Jin Myong Kim

          Kim Il Sung University, Pyongyang, Democratic People’s Republic of Korea
        Li–Yorke and distributional chaos for weighted shifts on directed trees cover

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        Abstract

        We study Li–Yorke and distributional chaos for weighted shifts on directed trees. We give a complete characterization of Li–Yorke chaotic weighted shifts on rooted directed trees. Also we show some sufficient conditions for distributional chaos of these operators. Our results generalize the previous results on Li–Yorke and distributionally chaotic unilateral and bilateral weighted shifts. It also has relations with some papers in which other important dynamical properties were investigated for weighted shifts on trees.

        Cite this article

        Chol San Kim, Hyon Hui Ju, Jun Hyok Choe, Jin Myong Kim, Li–Yorke and distributional chaos for weighted shifts on directed trees. Port. Math. (2026), published online first

        DOI 10.4171/PM/2161