Meng Wu

activity

20112023

most citedAccessible values of Assouad and the lower dimensions of subsets

4 citations · 18 across the 13 of their papers we have counts for

collaborators

14 papers

math.DS2023

Scaling limits of self-conformal measures

Balázs Bárány, Antti Käenmäki, Aleksi Pyörälä +1

We show that any self-conformal measure $μ$ on $R$ is uniformly scaling and generates an ergodic fractal distribution. This generalizes existing results by removing the ne…

math.DS2023

Large slices through self affine carpets

Amir Algom, Meng Wu

Let $F \subseteq [0, 1]^{2}$ be a Bedford-McMullen carpet defined by exponents $m > n$ , that projects to $[0, 1]$ on the $y$ -axis. We show that under mild conditions on $F$ , there are man…

math.DS2022

A topological version of Furstenberg-Kesten theorem

Aihua Fan, Meng Wu

Let $A (x) := (A_{i, j} (x))$ be a continuous function defined on some subshift of $Ω := {0, 1, \dots, m - 1}^{N}$ , taking $d \times d$ non-negative matrices as values and let $ν…

math.DS2021★ 1 cited

Improved versions of some Furstenberg type slicing Theorems for self-affine carpets

Amir Algom, Meng Wu

Let $F$ be a Bedford-McMullen carpet defined by independent integer exponents. We prove that for every line $ℓ \subseteq R^{2}$ not parallel to the major axes, $$ \dim_H…

math.DS2021

On dimensions of visible parts of self-similar sets with finite rotation groups

Esa Järvenpää, Maarit Järvenpää, Ville Suomala +1

We derive an upper bound for the Assouad dimension of visible parts of self-similar sets generated by iterated function systems with finite rotation groups and satisfying the open…

math.CA2020

Covering the Sierpiński carpet with tubes

Aleksi Pyörälä, Pablo Shmerkin, Ville Suomala +1

We show that non-trivial $\times N$ -invariant sets in $[0, 1]^{d}$ , such as the Sierpiński carpet and the Sierpiński sponge, are tube-null, that is, they can be covered by a union of…