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Creators/Authors contains: "Petyt, Harry"

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  1. ; ; ; (, arXiv.org)
    Free, publicly-accessible full text available May 24, 2026
  2. ; ; ; ; (, ArXiv)
    We show that quasi-isometries of (well-behaved) hierarchically hyperbolic groups descend to quasi-isometries of their maximal hyperbolic space. This has two applications, one relating to quasi-isometry invariance of acylindrical hyperbolicity, and the other a linear progress result for Markov chains. The appendix, by Jacob Russell, contains a partial converse under the (necessary) condition that the maximal hyperbolic space is one-ended. 
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    Free, publicly-accessible full text available January 7, 2026
  3. ; ; ; ; (, Mathematische Zeitschrift)
    Full Text Available