Cover Image

On a tree of rational functions related to continued fractions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Langeveld, Niels, Ralston, David
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Number Theory 11J70, 37E05, 37A44
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On Convergents of Proper Continued Fractions
by: Langeveld, Niels, et al.
Published: (2024)

On the rate of convergence of continued fraction statistics of random rationals
by: David, Ofir, et al.
Published: (2024)

Odd-odd continued fraction algorithm
by: Kim, Dong Han, et al.
Published: (2020)

Renormalization for Bruin-Troubetzkoy ITMs
by: Artigiani, Mauro, et al.
Published: (2024)

Equidistribution of cusp points of Hecke triangle groups
by: Breitkopf, Laura, et al.
Published: (2024)

Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025)

Inducing contractions of the mother of all continued fractions
by: Dajani, Karma, et al.
Published: (2025)

On the Gauss-Kuzmin-Lévy problem for nearest integer continued fractions
by: Boca, Florin P., et al.
Published: (2022)

Coincidence of invariant measure for the alternate base transformations
by: Dajani, Karma, et al.
Published: (2026)

On some classification problems of multiplicative functions
by: Kasjan, S., et al.
Published: (2025)

On the geometry of the second Lagrange spectra
by: Cheng, Hao, et al.
Published: (2026)

A new class of $α$-Farey maps and an application to normal numbers
by: Dajani, Karma, et al.
Published: (2024)

Products of exact dynamical systems and Lorentzian continued fractions
by: Barreto-Rosa, Brandon G., et al.
Published: (2025)

On a continued fraction algorithm in finite extensions of $\Q_p$ and its metrical theory
by: Choudhuri, Manoj, et al.
Published: (2024)

Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I
by: Kasjan, Stanisław, et al.
Published: (2022)

Convergence and combinatorics of the Reverse algorithm
by: Ito, Hiroaki, et al.
Published: (2026)

Submanifold-genericity of $\mathbb{R}^d$-actions and uniform multiplicative Diophantine approximation
by: Bandi, Prasuna, et al.
Published: (2025)

Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions
by: Tao, Terence, et al.
Published: (2021)

Lattice points in thickened parabolas and rational points near hypersurfaces
by: Smith, Alexander
Published: (2025)

Congruence counting in Schottky and continued fractions semigroups of $\operatorname{SO}(n, 1)$
by: Sarkar, Pratyush
Published: (2021)

Purely periodic continued fractions and graph-directed iterated function systems
by: Panti, Giovanni
Published: (2023)

Intermediate $β$-shifts as greedy $β$-shifts with a hole
by: Langeveld, Niels, et al.
Published: (2022)

Absolutely continuous invariant measures for random dynamical systems of beta-transformations
by: Suzuki, Shintaro
Published: (2023)

Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis"
by: Fernando, Kasun, et al.
Published: (2023)

Are prime numbers and quadratic residues random?
by: Blank, Michael
Published: (2024)

On multiplicative recurrence along linear patterns
by: Charamaras, Dimitrios, et al.
Published: (2024)

Furstenberg systems of pretentious and MRT multiplicative functions
by: Frantzikinakis, Nikos, et al.
Published: (2023)

Pointwise convergence of ergodic averages with Möbius weight
by: Teräväinen, Joni
Published: (2024)

Kahan-Hirota-Kimura maps preserving original cubic hamiltonians
by: Mañosa, Víctor, et al.
Published: (2024)

Ergodic optimization for Gauss's continued fraction map
by: Huang, Yinying, et al.
Published: (2025)

Directional $p$-Adic Littlewood Conjecture for Algebraic Vectors
by: Yifrach, Yuval
Published: (2025)

Equidistribution of continued fraction convergents in $\mathrm{SL}(2,\mathbb{Z}_m)$ with an application to local discrepancy
by: Borda, Bence
Published: (2023)

Counting functions over periodic orbits of a skew-product map
by: Gopinathan, Subith, et al.
Published: (2025)

The Artin-Mazur zeta function for interval maps
by: Olivares-Vinales, Jorge
Published: (2024)

Recurrence for pretentious systems along generalized Pythagorean triples
by: Frantzikinakis, Nikos, et al.
Published: (2025)

Borel--Bernstein and Hirst-type Theorems for Nearest-Integer Complex Continued Fractions over Euclidean Imaginary Quadratic Fields
by: Park, Kangrae
Published: (2026)

An inverse theorem for sumsets of sets of positive density in the integers
by: Ackelsberg, Ethan, et al.
Published: (2026)

Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers
by: Han, Guo-Niu, et al.
Published: (2025)

Infinite sumsets in $U^k(Φ)$-uniform sets
by: Radić, Tristán
Published: (2026)

Counterexamples to integer-coefficient criteria for recurrence along functions from a Hardy field
by: Ouyang, Kangbo, et al.
Published: (2026)