Manuel Luethi

Measure Rigidity and Equidistribution for Fractal Carpets

Abstract Let $\theta $ θ be a Bernoulli measure which is stationary for a random walk generated by finitely many contracting rational affine dilations of $\mathbb{R}^{d}$ R d , and let $\mathcal{K} = \mathrm{supp}(\theta )$ K = supp ( θ ) be the corresponding attractor. An exampl...