Logarithm laws for unipotent flows on hyperbolic manifolds
Shucheng Yu
TL;DR
This paper establishes logarithm laws for unipotent flows on hyperbolic manifolds with finite volume, using estimates of incomplete Eisenstein series to analyze their behavior.
Contribution
It introduces a new approach to proving logarithm laws for unipotent flows on hyperbolic manifolds based on Eisenstein series estimates.
Findings
Proves logarithm laws for unipotent flows on hyperbolic manifolds.
Develops estimates for norms of incomplete Eisenstein series.
Provides a new method for analyzing unipotent flow dynamics.
Abstract
We prove logarithm laws for unipotent flows on non-compact finite-volume hyperbolic manifolds. Our method depends on the estimate of norms of certain incomplete Eisenstein series.
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