REVIEW 2 cited by
Fourier decay, Renewal theorem and Spectral gaps for random walks on split semisimple Lie groups
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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.
Forward citations
Cited by 2 Pith papers
-
Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$
Patterson-Sullivan measures of convex co-compact Schottky groups of dimension δ>1/2 satisfy |μ̂(ξ)| ≲ |ξ|^{-δ(2δ-1)/((2δ+1)(3-δ))}.
-
Fourier decay of equilibrium states and the Fibonacci Hamiltonian
Power Fourier decay is proved for equilibrium states of nonlinear area-preserving Axiom A surface diffeomorphisms, giving positive lower Fourier dimension for certain C^{1+} self-conformal measures and for the Fibonac...
Discussion (0). Continue with ORCID to comment.