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Effective density of non-degenerate random walks on homogeneous spaces

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arxiv 2303.09499 v3 pith:GI7YNWTI submitted 2023-03-16 math.PR math.DSmath.GR

Wooyeon Kim , Constantin Kogler This is my paper · ORCID
classification math.PRmath.DSmath.GR
keywords effectivehomogeneousrandomspaceswalksdensityalgebraicargument
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We prove effective density of random walks on homogeneous spaces, assuming that the underlying measure is supported on matrices generating a dense subgroup and having algebraic entries. The main novelty is an argument passing from high dimension to effective equidistribution in the setting of random walks on homogeneous spaces, exploiting spectral gap of the associated convolution operator.

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