Kevin G. Hare

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math.DS2025

When the weak separation condition implies the generalize finite type in $R^{d}$

Kevin G. Hare, Joaquin G. Prandi

Let $S$ be an iterated function system in $R^{d}$ , with full support and some restrictions on the allowable rotations. We show that $S$ satisfies the wea…

math.DS2025

Bounding the Local Dimension of the Convolution of Measures

Kevin G. Hare, Joaquin G. Prandi

We study the local dimension of the convolution of two measures. We give conditions for bounding the local dimension of the convolution on the basis of the local dimension of one o…

math.DS2024

Equicontractive weak separation property on the line does not imply convex finite type condition

Kevin G. Hare

Let ${S_{1}, S_{2}, \dots, S_{n}}$ be an iterated function system on $R$ with attractor $K$ . It is known that if the iterated function system satisfies the weak separation pro…

When the weak separation condition implies the generalize finite type in Rd

Bounding the Local Dimension of the Convolution of Measures

Equicontractive weak separation property on the line does not imply convex finite type condition

When the weak separation condition implies the generalize finite type in $R^{d}$