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math.NT2023
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…
math.NT2023★ 4 cited
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…
math.DS2023
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…