44 citations · 231 across the 34 of their papers we have counts for
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math.NT2012
Badly Approximable Systems of Affine Forms and Incompressibility on Fractals
Ryan Broderick, Lior Fishman, David Simmons
We explore and refine techniques for estimating the Hausdorff dimension of exceptional sets and their diffeomorphic images. Specifically, we use a variant of Schmidt's game to dedu…
math.NT2012★ 19 cited
Intrinsic approximation for fractals defined by rational iterated function systems - Mahler's research suggestion
Lior Fishman, David Simmons
Following K. Mahler's suggestion for further research on intrinsic approximation on the Cantor ternary set, we obtain a Dirichlet type theorem for the limit sets of rational iterat…
math.NT2012
Diophantine properties of measures invariant with respect to the Gauss map
Lior Fishman, David Simmons, Mariusz Urbanski
Motivated by the work of D. Y. Kleinbock, E. Lindenstrauss, G. A. Margulis, and B. Weiss, we explore the Diophantine properties of probability measures invariant under the Gauss ma…