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Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems

Published 29 Aug 2025 in math.DS | (2509.00241v1)

Abstract: We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this simplex has a basin which has full Hausdorff dimension.

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Authors (2)

  1. Douglas Coates 
  2. Katrin Gelfert 

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