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math.DS2024
Singular systems of linear forms over global function fields
Gukyeong Bang, Taehyeong Kim, Seonhee Lim
In this paper, we consider singular systems of linear forms over global function fields of class number one and give an upper bound for the Hausdorff dimension of the set of singul…
math.DS2024
High entropy measures on the space of lattices with escape of mass
Taehyeong Kim
For any diagonal element with two eigenvalues, we construct a sequence of -invariant probability measures on the space of unimodular lattices with high entropy but convergin…
math.DS2024
On the rate of convergence of continued fraction statistics of random rationals
Ofir David, Taehyeong Kim, Ron Mor +1
We show that the statistics of the continued fraction expansion of a randomly chosen rational in the unit interval, with a fixed large denominator , approaches the Gauss-Kuzmin…