Guilhem Brunet

collaborators

2 papers

math.PR2025

Variational principles for Hausdorff and packing dimensions of fractal percolation on self-affine sponges

Julien Barral, Guilhem Brunet

We establish variational principles for the Hausdorff and packing dimensions of a class of statistically self-affine sponges, including in particular fractal percolation sets obtai…

math.DS2020

Dimensions of "self-affine sponges" invariant under the action of multiplicative integers

Guilhem Brunet

Let $m_{1} \geq m_{2} \geq 2$ be integers. We consider subsets of the product symbolic sequence space $({0, \dots, m_{1} - 1} \times {0, \dots, m_{2} - 1})^{N^{*}}$ that are invariant…