5 citations · 9 across the 4 of their papers we have counts for
5 papers
Metrical properties for the large partial quotients with product forms in continued fractions
Bo Tan, Qing-Long Zhou
The metrical theory of the product of consecutive partial quotients is associated with the uniform Diophantine approximation, specifically to the improvements to Dirichlet's theore…
Uniform Diophantine approximation and run-length function in continued fractions
Bo Tan, Qing-Long Zhou
We study the multifractal properties of the uniform approximation exponent and asymptotic approximation exponent in continued fractions. As a corollary, %given a nonnegative reals…
To Define the Core Entropy for All Polynomials Having a Connected Julia Set
Jun Luo, Bo Tan, Yi Yang +1
For all polynomials with that have a connected filled Julia set , we introduce a new quantity , such that $h_{\rm GCE}\left(f^n\right)=n\c…
Mahler's question for intrinsic Diophantine approximation on triadic Cantor set: the divergence theory
Bo Tan, Baowei Wang, Jun Wu
In this paper, we consider the intrinsic Diophantine approximation on the triadic Cantor set , i.e. approximating the points in by rational numbers insid…
Numbers with countable expansions in base of generalized golden ratios
Yuehua Ge, Bo Tan
Sidorov and Vershik showed that in base and with the digits the numbers have expansions for any …