论文标题

体积生长和对基因的热核在Riemannian歧管上的界限

Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end

论文作者

Grigor'yan, Alexander, Sürig, Philipp

论文摘要

We investigate heat kernel estimates of the form $p_{t}(x, x)\geq c_{x}t^{-α},$ for large enough $t,$ where $α$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x,$ on manifolds having at least one end.

We investigate heat kernel estimates of the form $p_{t}(x, x)\geq c_{x}t^{-α},$ for large enough $t,$ where $α$ and $c_{x}$ are positive reals and $c_{x}$ may depend on $x,$ on manifolds having at least one end.

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