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math.DS2011
Hölder foliations, revisited
Charles Pugh, Michael Shub, Amie Wilkinson
We investigate transverse Hölder regularity of some canonical leaf conjugacies in partially hyperbolic dynamical systems and transverse Hölder regularity of some invariant foliatio…
math.DS2011
Jordan curves and funnel sections
Charles Pugh, Conan Wu
We study the case when solution of an ODE at a given initial condition fail to be unique and investigate what are the possible time-1 sections of the `solution funnel'. Along the w…