Haojie Ren

collaborators

2 papers

math.DS2024

Dimension of Bernoulli Convolutions in $R^{d}$

Ariel Rapaport, Haojie Ren

For $(λ_{1}, ..., λ_{d}) = λ \in (0, 1)^{d}$ with $λ_{1} > ... > λ_{d}$ , denote by $μ_{λ}$ the Bernoulli convolution associated to $λ$ . That is, $μ_{λ}$ is the distribution of the random vector $…

math.DS2022

A Dichotomy for the dimension of SRB measure

Haojie Ren

We study dynamical systems generated by skew products: $T : [0, 1) \times R \to [0, 1) \times R T (x, y) = (b x mod 1, γ y + ϕ (x))$ where integer $b \geq 2$ , $0 < γ < 1$ and…

Dimension of Bernoulli Convolutions in Rd

A Dichotomy for the dimension of SRB measure

Dimension of Bernoulli Convolutions in $R^{d}$