Quantitative Equidistribution of Unipotent Flows on Homogeneous Spaces of Finite Volume
Abstract
We establish polynomial error bounds for the equidistribution of unipotent orbits on finite-volume homogeneous spaces using spectral gap estimates, effective ergodic theory, and Sobolev norm bounds on the decay of matrix coefficients.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Mathematical Dynamics and Fractals
Holomorphic and Operator Theory
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 4 January 2026