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Showing 1 to 5 of 5 for “"Bilipschitz"”.

  1. BiLipschitz embeddings and nonembeddings of metric spaces and related problems

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2020-08-25 without embargo terms

    uiuc Repository record for BiLipschitz embeddings and nonembeddings of metric spaces and related problems (opens in a new tab)

  2. Geometry of Fractal Squares

    … be a technique using directed graphs to prove bilipschitz equivalence of two fractal squares.

    vt Repository record for Geometry of Fractal Squares (opens in a new tab)

  3. Geometry of Self-Similar Sets

    … the natural equivalence relation found in bilipschitz equivalence. Both dimension and preservation of paths are determined to be invariant under this equivalence. Also, sophisticated techniques, one involving the use of directed graphs, show the equivalence of two spaces.

    vt Repository record for Geometry of Self-Similar Sets (opens in a new tab)

  4. Lipschitz Geometry of Banach and Metric Spaces

    … to glean insight into the surjectivity of Bilipschitz maps.</p> <p> The tight span of a finite metric space is a polyhedral complex embedded in a normed space. We will show that the position and lengths of the vertices and edges that arise in this construction are Lipschitz continuous with …

    syracuse-diss Repository record for Lipschitz Geometry of Banach and Metric Spaces (opens in a new tab)

  5. Lipschitz and Holder mappings into jet space Carnot groups

    … $J^k(\R^n)$, we will prove that there exists a biLipschitz embedding of $\mathbb{S}^n$ into $J^k(\R^n)$ that does not admit a Lipschitz extension to $\mathbb{B}^{n+1}$. This strengthens a result of Rigot and Wenger \cite{RW:LNE} and generalizes a result for $\mathbb{H}^n$ of Dejarnette, …

    uiuc Repository record for Lipschitz and Holder mappings into jet space Carnot groups (opens in a new tab)