Hillel Fürstenberg
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View article: From invariance to self-similarity: The work of Michael Hochman on fractal dimension and its aftermath
From invariance to self-similarity: The work of Michael Hochman on fractal dimension and its aftermath Open
M. Hochman's work on the dimension of self-similar sets has given impetus to resolving other questions regarding fractal dimension. We describe Hochman's approach and its influence on the subsequent resolution by P. Shmerkin of the conject…
View article: Affinely prime dynamical systems
Affinely prime dynamical systems Open
We study representations of groups by "affine" automorphisms of compact, convex spaces, with special focus on "irreducible" representations: equivalently "minimal" actions. When the group in question is PSL(2,R), we exhibit a one-one corre…