3 papers
math.NT2025
Uniform Diophantine approximation on the Hecke group
Ayreena Bakhtawar, Dong Han Kim, Seul Bee Lee
Dirichlet's uniform approximation theorem is a fundamental result in Diophantine approximation that gives an optimal rate of approximation with a given bound. We study uniform Diop…
math.NT2024
Diophantine approximation by rational numbers of certain parity types
Dong Han Kim, Seul Bee Lee, Lingmin Liao
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the pa…
math.DS2012
Diophantine type of interval exchange maps
Dong Han Kim
Roth type irrational rotation numbers have several equivalent arithmetical characterizations as well as several equivalent characterizations in terms of the dynamics of the corresp…