19 citations · 40 across the 15 of their papers we have counts for
16 papers
Existence of a Hall ray in higher dimensional Lagrange spectra
Yitwah Cheung, Zhijing Wendy Wang, Ruichong Zhang
Given any norm on , we prove that the Lagrange spectrum for -vectors contains a Hall ray. Equivalently, every sufficiently small o…
About the value of the two dimensional Levy's constant
Yitwah Cheung, Nicolas Chevallier
We give a numerical approximation of the Lévy constant on the growth of the denominators of the best Diophantine approximations in dimension 2 with respect to the euclidean norm. T…
Levy-Khintchin Theorem for best simultaneous Diophantine approximations
Yitwah Cheung, Nicolas Chevallier
We extend two results about the ordinary continued fraction expansion to best simultaneous Diophantine approximations of vectors or matrices. The first is Levy-Khintchin Theorem ab…
Siegel-Veech transforms are in
Jayadev S. Athreya, Yitwah Cheung, Howard Masur
Let denote a connected component of a stratum of translation surfaces. We show that the Siegel-Veech transform of a bounded compactly supported function on $\mathbb{R…
Hausdorff dimension and uniform exponents in dimension two
Yann Bugeaud, Yitwah Cheung, Nicolas Chevallier
In this paper we prove the Hausdorff dimension of the set of (nondegenerate) singular two-dimensional vectors with uniform exponent (1/2, 1) is 2(1 -- ) when …
A Poincaré section for horocycle flow on the space of lattices
Jayadev S. Athreya, Yitwah Cheung
We construct a Poincaré section for the horocycle flow on the modular surface , and study the associated first return map, which coincides with a transformatio…