44 citations · 231 across the 34 of their papers we have counts for
Showing 2016 · math.DSShow all
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math.DS2016★ 1 cited
Random walks on homogeneous spaces and diophantine approximation on fractals
David Simmons, Barak Weiss
We extend results of Y. Benoist and J.-F. Quint concerning random walks on homogeneous spaces of simple Lie groups to the case where the measure defining the random walk generates…
math.DS2016★ 10 cited
Badly approximable points on self-affine sponges and the lower Assouad dimension
Tushar Das, Lior Fishman, David Simmons +1
We highlight a connection between Diophantine approximation and the lower Assouad dimension by using information about the latter to show that the Hausdorff dimension of the set of…
math.DS2016★ 33 cited
The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result
Tushar Das, David Simmons
We construct a self-affine sponge in whose dynamical dimension, i.e. the supremum of the Hausdorff dimensions of its invariant measures, is strictly less than its Hau…