83 citations · 293 across the 29 of their papers we have counts for
41 papers
Schmidt's Game and Vitali Sets
James Atchley, Lior Fishman, Stephen Jackson +2
While many types of non-measurable sets are never -winning in the sense of Schmidt's game, we show that this is not the case for certain Vitali sets. Our main theorems show…
Diophantine approximation on abelian varieties; a conjecture of M. Waldschmidt
Lior Fishman, David Lambert, Keith Merrill +1
Following the work of Waldschmidt, we investigate problems in Diophantine approximation on abelian varieties. First we show that a conjecture of Waldschmidt for a given simple abel…
Intersection Games and Bernstein Sets
James Atchley, Lior Fishman, Saisneha Ghatti
The Banach-Mazur game, Schmidt's game and McMullen's absolute winning game are three quintessential intersection games. We investigate their determinacy on the real line when the t…
The no- McMullen game and the perfect set property
Logan Crone, Lior Fishman, Stephen Jackson
Given a target set and a real number , McMullen introduced the notion of being an absolutely -winning set. This involves a two player g…
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
Tushar Das, Lior Fishman, David Simmons +1
We consider small perturbations of a conformal iterated function system (CIFS) produced by either adding or removing some generators with small derivative from the original. We est…
Hausdorff Dimension Regularity Properties and Games
Logan Crone, Lior Fishman, Stephen Jackson
The Hausdorff -dimension game was introduced by Das, Fishman, Simmons and {Urba{ń}ski} and shown to characterize sets in having Hausdorff dimension . We i…