Ariel Rapaport

most citedDimension of diagonal self-affine sets and measures via non-conformal partitions

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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.DS2023★ 1 cited

Dimension of diagonal self-affine sets and measures via non-conformal partitions

Ariel Rapaport

Let $Φ := {(x_{1}, ..., x_{d}) \to (r_{i, 1} x_{1} + a_{i, 1}, ..., r_{i, d} x_{d} + a_{i, d})}_{i \in Λ}$ be an affine diagonal IFS on $R^{d}$ . Suppose that…

Dimension of Bernoulli Convolutions in Rd

Dimension of diagonal self-affine sets and measures via non-conformal partitions

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