44 citations · 197 across the 17 of their papers we have counts for
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math.DS2019
On the dimension spectra of infinite iterated function systems
Tushar Das, David Simmons
The dimension spectrum of a conformal iterated function system (CIFS) is the set of all Hausdorff dimensions of its various subsystem limit sets. This brief note provides two const…
math.DS2019★ 4 cited
Thermodynamic formalism for coarse expanding dynamical systems
Tushar Das, Feliks Przytycki, Giulio Tiozzo +2
We consider a class of dynamical systems, which we call weakly coarse expanding, which is a generalization to the postcritically infinite case of expanding Thurston maps as discuss…
math.NT2019★ 37 cited
A variational principle in the parametric geometry of numbers
Tushar Das, Lior Fishman, David Simmons +1
We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of linear forms in variables,…