44 citations · 231 across the 34 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.NT2017★ 20 cited
A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
Tushar Das, Lior Fishman, David Simmons +1
We establish a new connection between metric Diophantine approximation and the parametric geometry of numbers by proving a variational principle facilitating the computation of the…
math.MG2017
Quantitative results using variants of Schmidt's game: Dimension bounds, arithmetic progressions, and more
Ryan Broderick, Lior Fishman, David Simmons
Schmidt's game is generally used to deduce qualitative information about the Hausdorff dimensions of fractal sets and their intersections. However, one can also ask about quantitat…