Cover Image

On the maximal run-length function in the Lüroth expansion

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Yu, Dingding
Format:	Preprint
Published:	2026
Subjects:	Metric Geometry Number Theory 11K50 28A80
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions
by: van Golden, S., et al.
Published: (2024)

Multifractal analysis of maximal product of consecutive partial quotients in continued fractions
by: Song, Kunkun, et al.
Published: (2025)

Uniform Diophantine approximation and run-length function in continued fractions
by: Tan, Bo, et al.
Published: (2023)

Badly approximable points on non-linear carpets
by: Anttila, Roope, et al.
Published: (2026)

Dimensions of the popcorn graph
by: Chen, Haipeng, et al.
Published: (2020)

Fractal geometry of continued fractions with large coefficients and dimension drop problems
by: Fang, Lulu, et al.
Published: (2024)

Finite pattern problems related to Engel expansion
by: Cao, Chun-Yun, et al.
Published: (2025)

Metric properties of continued fractions with large prime partial quotients
by: Cheng, Wanjin, et al.
Published: (2025)

Decomposition of real numbers into sums of Lüroth sets
by: Gravgaard, Maiken, et al.
Published: (2025)

Intermediate dimensions of infinitely generated attractors
by: Banaji, Amlan, et al.
Published: (2021)

Assouad type dimensions of infinitely generated self-conformal sets
by: Banaji, Amlan, et al.
Published: (2022)

Faithfulness and fractal (quasi-)equivalence principles for Perron, Engel, and Pierce expansions
by: Moroz, Mykola
Published: (2025)

Convergence exponent of Dirichlet non-improvable numbers in the theory of continued fractions
by: Tan, Xiaoyan, et al.
Published: (2025)

Multiplicative Diophantine approximation with restricted denominators
by: Li, Bing, et al.
Published: (2024)

Hausdorff dimension of Graphs of Limit Functions Generated by Quasi-Linear Functions
by: Wu, Wen, et al.
Published: (2025)

On the intersections of homogeneous self-similar sets with their translates in $\mathbb{R}^{n}$ and a formulation of multiplicative invariance in $\mathbb{Z}^{n}$
by: MacVicar, Neil
Published: (2026)

Seventy Years of Fractal Projections
by: Falconer, Kenneth J.
Published: (2026)

On metric properties of self-affine polygonal dendrites
by: Tetenov, Andrei, et al.
Published: (2026)

On the intersection of fractal cubes
by: Tetenov, Andrei, et al.
Published: (2024)

Fractal percolation on statistically self-affine carpets
by: Falconer, Kenneth, et al.
Published: (2024)

Frostman and Fourier characterisations of fractal dimensions
by: Falconer, Kenneth J., et al.
Published: (2025)

A generalization of Marstrand's theorem and some geometric applications
by: Moreira, Carlos Gustavo, et al.
Published: (2016)

Hölder continuity and dimensions of fractal Fourier series
by: Garitsis, Efstathios Konstantinos Chrontsios, et al.
Published: (2022)

Hölder regularity of harmonic functions on metric measure spaces
by: Gao, Jin, et al.
Published: (2024)

Lower box dimension of infinitely generated self-conformal sets
by: Banaji, Amlan, et al.
Published: (2024)

Power Laws for the Favard Length Problem in $\mathbb{R}^d$
by: Marshall, Caleb
Published: (2025)

Exceptional sets to Shallit's law of leap years in Pierce expansions
by: Ahn, Min Woong
Published: (2024)

Non-Salem sets in multiplicative Diophantine approximation
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)

Self-similar dendrites with finite boundary and P-sprouts
by: Tetenov, Andrei, et al.
Published: (2026)

Hausdorff dimensions in Pierce expansions
by: Ahn, Min Woong
Published: (2023)

On a continuous Sárközy type problem
by: Kuca, Borys, et al.
Published: (2021)

Exceptional sets for length under restricted families of projections onto lines in $\mathbb{R}^3$
by: Harris, Terence L. J.
Published: (2024)

On faithfulness and DP-transformations generated by arithmetic Cantor series expansions
by: Torbin, Grygoriy, et al.
Published: (2026)

Geometric functionals of fractal percolation
by: Klatt, Michael A., et al.
Published: (2018)

Simple proofs of discretised projection theorems
by: O'Regan, William, et al.
Published: (2025)

The Shape of Symmetric Binary Trees
by: Riddle, Larry
Published: (2025)

Assouad-type Dimensions of Overlapping Self-affine Sets
by: Fraser, Jonathan M., et al.
Published: (2022)

A gasket construction of the Koch snowflake and variations
by: Sargent, Robert C.
Published: (2025)

Almost sure convergence and second moments of geometric functionals of fractal percolation
by: Klatt, Michael A., et al.
Published: (2022)