Logarithmic heat kernel estimates without curvature restrictions
Author:
Affiliation:
1. School of Mathematical Sciences, Shanghai Jiao Tong University
2. Imperial College London and EPFL
3. School of Mathematical Sciences, Fudan University
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference73 articles.
1. BISMUT, J.-M. (1984). Large Deviations and the Malliavin Calculus. Progress in Mathematics 45. Birkhäuser, Inc., Boston, MA.
2. GROSS, L. (1975). Logarithmic Sobolev inequalities. Amer. J. Math. 97 1061–1083.
3. AIDA, S. (2000). Logarithmic derivatives of heat kernels and logarithmic Sobolev inequalities with unbounded diffusion coefficients on loop spaces. J. Funct. Anal. 174 430–477.
4. AIDA, S. (2004). Precise Gaussian estimates of heat kernels on asymptotically flat Riemannian manifolds with poles. In Recent Developments in Stochastic Analysis and Related Topics 1–19. World Sci. Publ., Hackensack, NJ.
5. AIDA, S. (2015). Asymptotics of spectral gaps on loop spaces over a class of Riemannian manifolds. J. Funct. Anal. 269 3714–3764.
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