Manifolds and graphs with slow heat kernel decay

Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

Jeff Cheeger, M. Gromov, Michael E. Taylor · Journal of Differential Geometry · 1982 · 861 citations · Full text

Natural Sciences, Mathematics, Physics +14

Brownian motion on nested fractals

Tom Lindstrøm · Memoirs of the American Mathematical Society · 1990 · 325 citations · Full text

Engineering, Physics, Stochastic Processes +11

Brownian Motion and Harmonic Analysis on Sierpinski Carpets

Martin T. Barlow, Richard F. Bass · Canadian Journal of Mathematics · 1999 · 314 citations · Full text

Engineering, Physics, Stochastic Processes +14

Sobolev inequalities in disguise

Dominique Bakry, Thierry Coulhon, Michel Ledoux et al. · Indiana University Mathematics Journal · 1995 · 259 citations · Full text

Natural Sciences, Economics, Microeconomics +6

On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold

Siu Yuen Cheng, Peter Li, Shing–Tung Yau · American Journal of Mathematics · 1981 · 258 citations

Natural Sciences, Physics, Computational Heat Transfer +12