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Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups by Li, Jialun is a scholarly article available to read on EtoBox.

What is Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups about?

We establish an exponential error term for the renewal theorem in the context of products of random matrices, which is surprising compared with classical abelian cases. A key tool is the Fourier decay of the Furstenberg measures on the projective spaces, which is a higher dimensional generalization of a recent work of Bourgain-Dyatlov.

Author

Li, Jialun

Published

2018

Language

EN