44 citations · 197 across the 17 of their papers we have counts for
5 papers · 1 filter
A proof of the matrix version of Baker's conjecture in Diophantine approximation
Tushar Das, David Simmons
We prove that the matrix analogue of the Veronese curve is strongly extremal in the sense of Diophantine approximation, thereby resolving a question posed by Beresnevich, Kleinbock…
Tukia's isomorphism theorem in CAT(-1) spaces
Tushar Das, David Simmons, Mariusz Urbański
We prove a generalization of Tukia's ('85) isomorphism theorem which states that isomorphisms between geometrically finite groups extend equivariantly to the boundary. Tukia worked…
Extremality and dynamically defined measures, part II: Measures from conformal dynamical systems
Tushar Das, Lior Fishman, David Simmons +1
We present a new method of proving the Diophantine extremality of various dynamically defined measures, vastly expanding the class of measures known to be extremal. This generalize…
Extremality and dynamically defined measures, part I: Diophantine properties of quasi-decaying measures
Tushar Das, Lior Fishman, David Simmons +1
We present a new method of proving the Diophantine extremality of various dynamically defined measures, vastly expanding the class of measures known to be extremal. This generalize…
Dimension rigidity in conformal structures
Tushar Das, David Simmons, Mariusz Urbański
Let be the limit set of a conformal dynamical system, i.e. a Kleinian group acting on either finite- or infinite-dimensional real Hilbert space, a conformal iterated function s…