Quantum unique ergodicity of degenerate eisenstein series on gl(n)
Liyang Zhang
TL;DR
This paper proves quantum unique ergodicity for a specific part of the continuous spectrum associated with degenerate Eisenstein series on GL(n), advancing understanding in quantum chaos and automorphic forms.
Contribution
It establishes quantum unique ergodicity for degenerate Eisenstein series on GL(n), a novel result in the spectral theory of automorphic forms.
Findings
Quantum unique ergodicity holds for degenerate Eisenstein series on GL(n)
The result applies to a subspace of the continuous spectrum
Advances understanding of quantum chaos in higher rank groups
Abstract
We prove quantum unique ergodicity for a subspace of the continuous spectrum spanned by the degenerate Eisenstein Series on GL(n).
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Analytic Number Theory Research · advanced mathematical theories