Multifractal analysis of maximal product of consecutive partial quotients in continued fractions
Fuente:
arXiv
Saved in:
| Main Authors: | Song, Kunkun, Yu, Dingding, Yu, Yueli |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the maximal run-length function in the Lüroth expansion
by: Yu, Dingding
Published: (2026)
by: Yu, Dingding
Published: (2026)
Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)
by: Cheng, Wanjin, et al.
Published: (2025)
Measure theoretic properties of large products of consecutive partial quotients
by: Brown-Sarre, Adam, et al.
Published: (2024)
by: Brown-Sarre, Adam, et al.
Published: (2024)
Fractal geometry of continued fractions with large coefficients and dimension drop problems
by: Fang, Lulu, et al.
Published: (2024)
by: Fang, Lulu, et al.
Published: (2024)
Convergence exponent of Dirichlet non-improvable numbers in the theory of continued fractions
by: Tan, Xiaoyan, et al.
Published: (2025)
by: Tan, Xiaoyan, et al.
Published: (2025)
Multifractal analysis of the convergence exponents for the digits in $d$-decaying Gauss like dynamical systems
by: Song, Kunkun, et al.
Published: (2024)
by: Song, Kunkun, et al.
Published: (2024)
Uniform Diophantine approximation and run-length function in continued fractions
by: Tan, Bo, et al.
Published: (2023)
by: Tan, Bo, et al.
Published: (2023)
Finite pattern problems related to Engel expansion
by: Cao, Chun-Yun, et al.
Published: (2025)
by: Cao, Chun-Yun, et al.
Published: (2025)
Multiplicative Diophantine approximation with restricted denominators
by: Li, Bing, et al.
Published: (2024)
by: Li, Bing, et al.
Published: (2024)
Fourier decay of measures supported on sets of numbers with consecutive partial quotients belonging to a given set
by: Fraser, Robert
Published: (2025)
by: Fraser, Robert
Published: (2025)
Möbius inversion and coprime summation for error-sum functions of continued fractions
by: Ahn, Min Woong
Published: (2025)
by: Ahn, Min Woong
Published: (2025)
Non-Salem sets in multiplicative Diophantine approximation
by: Tan, Bo, et al.
Published: (2024)
by: Tan, Bo, et al.
Published: (2024)
Quantitative Diophantine approximation and Fourier dimension of sets: Dirichlet non-improvable numbers versus well-approximable numbers
by: Tan, Bo, et al.
Published: (2024)
by: Tan, Bo, et al.
Published: (2024)
Faithfulness and fractal (quasi-)equivalence principles for Perron, Engel, and Pierce expansions
by: Moroz, Mykola
Published: (2025)
by: Moroz, Mykola
Published: (2025)
Multifractal aspects of $α$-expansions
by: Neunhäuserer, Jörg
Published: (2026)
by: Neunhäuserer, Jörg
Published: (2026)
Hausdorff measures of sets in Exact Diophantine approximation
by: Tan, Bo, et al.
Published: (2025)
by: Tan, Bo, et al.
Published: (2025)
On the distribution of the Cantor-integers
by: Cao, ChunYun, et al.
Published: (2022)
by: Cao, ChunYun, et al.
Published: (2022)
Exceptional sets to Shallit's law of leap years in Pierce expansions
by: Ahn, Min Woong
Published: (2024)
by: Ahn, Min Woong
Published: (2024)
Expansions of real numbers with respect to two integer bases
by: Neunhäuserer, Jörg
Published: (2020)
by: Neunhäuserer, Jörg
Published: (2020)
Gaussian rational numbers in Cantor sets in the complex plane
by: Wu, Yu-Feng
Published: (2025)
by: Wu, Yu-Feng
Published: (2025)
Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions
by: van Golden, S., et al.
Published: (2024)
by: van Golden, S., et al.
Published: (2024)
$δ$-Badly approximable numbers and ubiquitously losing sets
by: Tseng, Jimmy
Published: (2026)
by: Tseng, Jimmy
Published: (2026)
Additive and geometric transversality of fractal sets in the integers
by: Glasscock, Daniel, et al.
Published: (2020)
by: Glasscock, Daniel, et al.
Published: (2020)
Hausdorff dimensions in Pierce expansions
by: Ahn, Min Woong
Published: (2023)
by: Ahn, Min Woong
Published: (2023)
On faithfulness and DP-transformations generated by arithmetic Cantor series expansions
by: Torbin, Grygoriy, et al.
Published: (2026)
by: Torbin, Grygoriy, et al.
Published: (2026)
Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet
by: Pratsiovytyi, Mykola, et al.
Published: (2026)
by: Pratsiovytyi, Mykola, et al.
Published: (2026)
Products of exact dynamical systems and Lorentzian continued fractions
by: Barreto-Rosa, Brandon G., et al.
Published: (2025)
by: Barreto-Rosa, Brandon G., et al.
Published: (2025)
Arithmetic properties of Cantor sets involving non-diagonal forms
by: Zhao, Haotian
Published: (2025)
by: Zhao, Haotian
Published: (2025)
Quantitative Matrix-Driven Diophantine approximation on $M_0$-sets
by: Tan, Bo, et al.
Published: (2025)
by: Tan, Bo, et al.
Published: (2025)
Asymptotic mean of digits of the $Q_s$-representation of the fractional part of a real number and related problems of fractal geometry and fractal analysis
by: Pratsiovytyi, M. V., et al.
Published: (2026)
by: Pratsiovytyi, M. V., et al.
Published: (2026)
On an Erdős similarity problem in the large
by: Gao, Xiang, et al.
Published: (2023)
by: Gao, Xiang, et al.
Published: (2023)
Measures supported on partly normal numbers
by: Pramanik, Malabika, et al.
Published: (2024)
by: Pramanik, Malabika, et al.
Published: (2024)
Complex continued fractions, Kleinian and extremal theory for cusp excursions
by: Baumgartner, Alexander, et al.
Published: (2024)
by: Baumgartner, Alexander, et al.
Published: (2024)
A new family of expansions of real numbers
by: Neunhäuserer, Jörg
Published: (2024)
by: Neunhäuserer, Jörg
Published: (2024)
Numbers omitting digits in certain base expansions
by: Yavicoli, Alexia, et al.
Published: (2025)
by: Yavicoli, Alexia, et al.
Published: (2025)
The dimension of well approximable numbers
by: Beresnevich, Victor, et al.
Published: (2025)
by: Beresnevich, Victor, et al.
Published: (2025)
Quadratic forms of signature $(2, 2)$ or $(3, 1)$ I: effective equidistribution in quotients of $\mathrm{SL}_4(\mathbb{R})$
by: Lin, Zuo
Published: (2025)
by: Lin, Zuo
Published: (2025)
Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)
by: Gravgaard, Maiken, et al.
Published: (2025)
On the fractional parts of certain sequences of $ξα^{n}$
by: Gao, Xiang, et al.
Published: (2024)
by: Gao, Xiang, et al.
Published: (2024)
On the Continued Fraction Expansion of Almost All Real Numbers
by: Jin, Alex, et al.
Published: (2024)
by: Jin, Alex, et al.
Published: (2024)
Similar Items
-
On the maximal run-length function in the Lüroth expansion
by: Yu, Dingding
Published: (2026) -
Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025) -
Measure theoretic properties of large products of consecutive partial quotients
by: Brown-Sarre, Adam, et al.
Published: (2024) -
Fractal geometry of continued fractions with large coefficients and dimension drop problems
by: Fang, Lulu, et al.
Published: (2024) -
Convergence exponent of Dirichlet non-improvable numbers in the theory of continued fractions
by: Tan, Xiaoyan, et al.
Published: (2025)