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arXiv · 2105.11712

Exact dimension of Furstenberg measures

Francois Ledrappier·Pablo Lessa
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Abstract

For a probability measure $\mu$ on SL d (R), we consider the Furstenberg stationary measure on the space of flags. Under general non-degeneracy conditions, if $\mu$ is discrete and if g log g d$\mu$(g) < +$\infty$, then the measure $\nu$ is exact-dimensional.

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Francois Ledrappier, Pablo Lessa. 2021-05-25. Exact dimension of Furstenberg measures. https://arxiv.org/abs/2105.11712

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