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Showing 1 to 2 of 2 for “"Dimension theory (Topology)"”.

  1. Lyapunov Exponents, Entropy and Dimension

    … a development of measure theoretic entropy and dimension. The main result, due to L.S. Young, is that for certain diffeomorphisms of a surface, there is a beautiful relationship between these three concepts; namely that the entropy equals dimension times expansion.

    unt Repository record for Lyapunov Exponents, Entropy and Dimension (opens in a new tab)

  2. Dimensions in Random Constructions.

    … prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide.

    unt Repository record for Dimensions in Random Constructions. (opens in a new tab)