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math.CA2012
Groups and Cantor sets
Stephen Semmes
It is well known that n x n upper-triangular real matrices with 1's on the diagonal form a nilpotent Lie group with an interesting family of non-isotropic dilations and correspondi…
math.CA2012
Some remarks about solenoids, 3
Stephen Semmes
A basic class of constructions is considered, in connection with bilipschitz mappings in particular.
math.CA2012
Some remarks about solenoids, 2
Stephen Semmes
A class of solenoids is considered, including some aspects in n (topological) dimensions, where one basically gets some fractal versions of tori.
math.CA2012★ 2 cited
Topics in Fourier analysis
Stephen Semmes
An overview of some basic notions is given, especially with an eye towards somewhat "fractal" examples, such as infinite products of cyclic groups, p-adic numbers, and solenoids.