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arXiv · 2406.15824

Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation

Gaurav Aggarwal·Anish Ghosh
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Abstract

We study non-expanding random walks on the space of affine lattices and establish a new classification theorem for stationary measures. Further, we prove a theorem that relates the genericity with respect to these random walks to Birkhoff genericity. Finally, we apply these theorems to obtain several results in inhomogeneous Diophantine approximation, especially on fractals.

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Gaurav Aggarwal, Anish Ghosh. 2024-06-22. Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation. https://arxiv.org/abs/2406.15824

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