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math.NT2026
Badly approximable points on non-linear carpets
Roope Anttila, Jonathan M. Fraser, Henna Koivusalo
The badly approximable points in are those for which Dirichlet's approximation theorem cannot be improved by more than a constant, that is, they are the points most…
math.NT2021
Diophantine approximation in metric space
Jonathan M. Fraser, Henna Koivusalo, Felipe A. Ramirez
Diophantine approximation is traditionally the study of how well real numbers are approximated by rationals. We propose a model for studying Diophantine approximation in an arbitra…