H\"older foliations, revisited
Charles Pugh, Michael Shub, Amie Wilkinson
TL;DR
This paper examines the regularity properties of invariant foliations and leaf conjugacies in partially hyperbolic dynamical systems, confirming previous claims about their transverse H"older continuity.
Contribution
It provides rigorous validation of prior assertions regarding the transverse H"older regularity of canonical leaf conjugacies and invariant foliations in dynamical systems.
Findings
Confirmed transverse H"older regularity of canonical leaf conjugacies
Validated claims about invariant foliation regularity
Enhanced understanding of foliation structures in hyperbolic systems
Abstract
We investigate transverse H\"older regularity of some canonical leaf conjugacies in partially hyperbolic dynamical systems and transverse H\"older regularity of some invariant foliations. Our results validate claims made elsewhere in the literature.
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