Alec Norton

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The classical Morse-Sard Theorem says that the set of critical values of f : R → R has Lebesgue measure zero if f ∈ Ck+1. We show the Ck+1 smoothness requirement can be weakened to Ck+Zygmund. This(More)
If X is the (unique) minimal set for a C1+α diffeomorphism of the circle without periodic orbits, 0 < α < 1, then the upper box dimension of X is at least α. The method of proof is to introduce the(More)
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