Local limit theorem in negative curvature
Work
Year: 2021
Type: article
Abstract: Consider the heat kernel ℘(t,x,y) on the universal cover M˜ of a closed Riemannian manifold of negative sectional curvature. We show the local limit theorem for ℘: limt→∞t3∕2eλ0t℘(t,x,y)=C(x,y), where... more
Source: Duke Mathematical Journal
Authors François Ledrappier, Seonhee Lim
Institutions University of Notre Dame, Sorbonne Université, Centre National de la Recherche Scientifique, Seoul National University, National Institute for Mathematical Sciences
Cites: 50
Cited by: 9
Related to: 10
FWCI: 0.309
Citation percentile (by year/subfield): 32.84
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green