Alec Norton

DENJOY’S THEOREM WITH EXPONENTS (2008)

Alec Norton

Abstract. If X is the (unique) minimal set for a C 1+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...

Cantor sets, binary trees, and Lipschitz circle homeomorphisms. (1999)

Norton, Alec, Tandy, Brian P.

The Gauss-Green theorem for fractal boundaries (1992)

Harrison, Jenny, Norton, Alec

Critical sets in the plane. (1991)

Norton, Alec, Pugh, Charles

The fractal geometry of critical sets with nonnull image and the differentiability of functions / (1987)

Norton, Alec.

Thesis (Ph. D. in Mathematics)--University of California, Berkeley, May 1987.

Denjoy Minimal Sets Are Far From Affine

Alec Norton

. Not every Cantor set can arise as the minimal set for a C 1 diffeomorphism of the circle. For example, D. McDuff has shown that the usual "middle thirds" Cantor set cannot arise this way....