52 citations
- University of YorkGB13 papers
- University of North TexasUS11 papers
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- University of MinnesotaUS7 papers
- University of California, BerkeleyUS6 papers
- Iowa State UniversityUS5 papers
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- University of VictoriaCA3 papers
4 papers · 1 filter
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,…
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…
Badly approximable vectors and fractals defined by conformal dynamical systems
Tushar Das, Lior Fishman, David Simmons +1
We prove that if is the limit set of an irreducible conformal iterated function system (with either finite or countably infinite alphabet), then the badly approximable vectors…
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…