Cover Image

Disintegration results for fractal measures and applications to Diophantine approximation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Baker, Simon
Format:	Preprint
Published:	2025
Subjects:	Dynamical Systems Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Metric results of the intersection of sets in Diophantine approximation
by: Tian, Chen, et al.
Published: (2025)

Circle coverings driven by arithmetic sequences: a percolation approach to Diophantine approximation and fractal intersections
by: Hauke, Manuel, et al.
Published: (2026)

Hausdorff dimension of intersections between the Jarník sets and Diophantine fractals
by: Takahasi, Hiroki
Published: (2025)

Twisted Diophantine approximation on manifolds
by: Beresnevich, Victor, et al.
Published: (2025)

Weighted Diophantine approximation on manifolds
by: Beresnevich, Victor, et al.
Published: (2026)

Uniform Diophantine approximation with restricted denominators
by: Wang, Bo, et al.
Published: (2023)

Dual $p$-adic Diophantine approximation on manifolds
by: Hussain, Mumtaz, et al.
Published: (2023)

A dimensional mass transference principle from balls to open sets and applications to dynamical Diophantine approximation
by: He, Yubin
Published: (2025)

A quantitative framework for sets of exact approximation order by rational numbers
by: Baker, Simon, et al.
Published: (2025)

Effective estimate and Central Limit Theorem for Diophantine approximation on spheres
by: Ouaggag, Zouhair
Published: (2024)

Isolated Diophantine numbers
by: Argentieri, Fernando, et al.
Published: (2024)

Sharpening Vahlen's result in Diophantine approximation
by: Bakhtawar, Ayreena, et al.
Published: (2025)

Simultaneous and multiplicative Diophantine approximation on missing-digit fractals
by: Chow, Sam, et al.
Published: (2024)

On finitely many base $q$ expansions
by: Baker, Simon, et al.
Published: (2025)

Measure rigidity and equidistribution for fractal carpets
by: Khalil, Osama, et al.
Published: (2025)

Equidistribution of Diophantine pairs among the equivalence classes of quadratic forms
by: Dražić, Goran, et al.
Published: (2025)

Central Limit Theorems in Multiplicative Diophantine Approximation
by: Björklund, Michael, et al.
Published: (2026)

Density combinatorics theorems in fractal dimension theory of continued fractions
by: Nakajima, Yuto, et al.
Published: (2025)

Diophantine estimates on shifts of trigonometric polynomials on $\mathbb{T}^d$
by: Shi, Yunfeng, et al.
Published: (2023)

Hausdorff measures of sets in Exact Diophantine approximation
by: Tan, Bo, et al.
Published: (2025)

Resultant measures and minimal resultant loci for non-archimedean polynomial dynamics
by: Nie, Hongming, et al.
Published: (2020)

Infinitely badly approximable affine forms
by: Kim, Taehyeong
Published: (2024)

Geometric and arithmetic aspects of approximation vectors
by: Shapira, Uri, et al.
Published: (2022)

On normal numbers and self-similar measures
by: Algom, Amir, et al.
Published: (2021)

Badly approximable grids and k-divergent lattices
by: Moshchevitin, Nikolay, et al.
Published: (2024)

Hausdorff dimension of differences of badly approximable sets
by: Hatefi, Dorsa, et al.
Published: (2024)

Metric Diophantine approximation on fractals
by: Wyatt, James
Published: (2025)

Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation
by: Aggarwal, Gaurav, et al.
Published: (2024)

Extravagance, irrationality and Diophantine approximation
by: Aaronson, Jon, et al.
Published: (2024)

An ergodic approach towards an equidistribution result of Ferrero--Washington
by: Lee, Jungwon, et al.
Published: (2022)

Zero-full law for well approximable sets in missing digit sets
by: Li, Bing, et al.
Published: (2023)

The Hausdorff dimension of the intersection of $ψ$-well approximable numbers and self-similar sets
by: Chen, Suxuan
Published: (2025)

Erdős's integer dilation approximation problem and GCD graphs
by: Koukoulopoulos, Dimitris, et al.
Published: (2025)

Weighted uniform distribution of subpolynomial functions along primes and applications
by: Bergelson, Vitaly, et al.
Published: (2025)

Counting integral points on symmetric varieties with applications to arithmetic statistics
by: Shankar, Arul, et al.
Published: (2023)

The Doeblin-Lenstra conjecture: effective results and central limit theorems
by: Aggarwal, Gaurav, et al.
Published: (2025)

Lévy-Khintchine Theorems: effective results and central limit theorems
by: Aggarwal, Gaurav, et al.
Published: (2025)

Weighted approximation for limsup sets
by: Robert, Gerardo González, et al.
Published: (2023)

A Weyl-type theorem for Diophantine approximations driven by LCA groups and applications
by: Fan, Aihua
Published: (2026)

Counting the number of $n$-periodic integral points of a discrete dynamical system with applications from arithmetic statistics, IV
by: Kintu, Brian
Published: (2025)