1 citations · 1 across the 4 of their papers we have counts for
4 papers
math.NT2009
Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds
Yuqing Zhang
We consider multiparameter dynamics on the space of unimolular lattices. Along with quantitative nondivergence we prove that multiplicative Diophantine exponents of hyperplanes are…
math.NT2009
Multiplicative Transference Principle
Yuqing Zhang
This paper has been withdrawn by the author.
math.NT2008★ 1 cited
Multiplicative Diophantine Exponents of Hyperplanes
Yuqing Zhang
We study multiplicative Diophantine approximation property of vectors and compute Diophantine exponents of hyperplanes via dynamics.
math.NT2008
Diophantine Exponents of Affine Subspaces: The Simultaneous Approximation Case
Yuqing Zhang
We apply nondivergence estimates for flows on homogeneous spaces to compute Diophantine exponents of affine subspaces of and their nondegenerate submanifolds.