Cover Image

Pisot Substitution Conjecture and Rauzy Fractals

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Nakaishi, Kentaro
Format:	Preprint
Published:	2024
Subjects:	Dynamical Systems Number Theory 37A44 (Primary) 37A25, 37A30, 11F85, 28A80, 05B45 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the homogeneous ergodic bilinear averages with $1$-bounded multiplicative weights
by: Abdalaoui, el Houcein el
Published: (2020)

Multifractal Analysis of Equilibrium States of Endomorphisms of $\mathbb{P}^k$
by: Dalaklis, Nathan, et al.
Published: (2025)

Nonstationary Markov Partitions and Multidimensional Continued Fraction Algorithms
by: Arnoux, Pierre, et al.
Published: (2025)

Resolving the joint ergodicity problem for Hardy sequences
by: Donoso, Sebastián, et al.
Published: (2025)

Finer geometry of planar self-affine sets
by: Bárány, Balázs, et al.
Published: (2021)

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

Sets of large values of polynomial multi-correlation functions
by: Bergelson, Vitaly, et al.
Published: (2026)

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

Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences
by: Donoso, Sebastián, et al.
Published: (2024)

Decomposition results for multiplicative actions and applications
by: Frantzikinakis, Nikos
Published: (2025)

Mean value theorems in multiplicative systems and joint ergodicity of additive and multiplicative actions
by: Charamaras, Dimitrios
Published: (2024)

Convergence of Time-Average along Uniformly Behaved in ${\mathbb N}$ Sequences on Every Point
by: Jiang, Yunping, et al.
Published: (2023)

Non-convergence of some non-commuting double ergodic averages
by: Austin, Tim
Published: (2024)

From Tangency to Fractals: Quadratic Dynamics in Nested Convex Geometry
by: Morsalani, Mohamed El, et al.
Published: (2026)

Proofs of ergodicity of piecewise Möbius interval maps using planar extensions
by: Calta, Kariane, et al.
Published: (2022)

A variational principle in the parametric geometry of numbers
by: Das, Tushar, et al.
Published: (2019)

Convergence of pushforward measures for certain countably piecewise linear Markov maps
by: Kalocsai, Zoltán
Published: (2025)

Ergodic averages along sequences of slow growth
by: Loyd, Kaitlyn, et al.
Published: (2024)

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

Seminorm control for ergodic averages with commuting transformations and pairwise dependent polynomial iterates
by: Frantzikinakis, Nikos, et al.
Published: (2022)

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

Collinear Fractals and Bandt's Conjecture
by: Espigule, Bernat, et al.
Published: (2024)

A Host--Kra ${\mathbf F}_2^ω$-system of order $5$ that is not Abramov of order $5$, and non-measurability of the inverse theorem for the $U^6({\mathbf F}_2^n)$ norm
by: Jamneshan, Asgar, et al.
Published: (2023)

Multifractal Analysis of F-exponents for Finitely Irreducible Conformal Graph Directed Markov Systems
by: Dalaklis, Nathan
Published: (2024)

Unveiling universality, encloseness, and orthogonality in dynamics
by: Aaronson, J., et al.
Published: (2026)

A new family of expansions of real numbers
by: Neunhäuserer, Jörg
Published: (2024)

Bohr recurrence and density of non-lacunary semigroups of $\mathbb{N}$
by: Frantzikinakis, Nikos, et al.
Published: (2024)

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

Partition regularity in imaginary quadratic rings of integers
by: Donoso, Sebastián, et al.
Published: (2026)

Multiple recurrence and popular differences for polynomial patterns in rings of integers
by: Ackelsberg, Ethan, et al.
Published: (2021)

Orders of Oscillation Motivated by Sarnak's Conjecture--Part II
by: Jiang, Yunping
Published: (2022)

Complex Diophantine Approximations and Cusp Excursions
by: Dalaklis, Nathan, et al.
Published: (2026)

Maximal Ergodic Inequalities for Banach Function Spaces
by: de Beer, Richard, et al.
Published: (2013)

$\mathfrak{B}$-free integers in number fields and dynamics
by: Araújo, Francisco, et al.
Published: (2015)

Fractal tiles induced by tent maps
by: Scheicher, Klaus, et al.
Published: (2025)

Non-invertible planar self-affine sets
by: Käenmäki, Antti, et al.
Published: (2022)

Regularity of non-autonomous self-similar sets
by: Käenmäki, Antti, et al.
Published: (2024)

On the dimension theory of Okamoto's function
by: Bárány, Balázs, et al.
Published: (2025)

Hausdorff dimension of the set of eventually always hitting points on a self-conformal set
by: Zhang, Xintian
Published: (2023)

Tangents and slices of self-affine carpets
by: Käenmäki, Antti, et al.
Published: (2024)