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arXiv · 2303.13341

Exact dimension of dynamical stationary measures

François Ledrappier·Pablo Lessa
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Abstract

We consider a random walk on $SL_d(\mathbb{R})$ with finite first moment and finite entropy. We show that the distributions of the unstable flag space and of the stable flag space are exact dimensional.

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François Ledrappier, Pablo Lessa. 2023-03-23. Exact dimension of dynamical stationary measures. https://arxiv.org/abs/2303.13341

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