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math.DG2022
Volume growth and on-diagonal heat kernel bounds on Riemannian manifolds with an end
Alexander Grigor'yan, Philipp Sürig
We investigate heat kernel estimates of the form for large enough where and are positive reals and may depend on on man…
math.DG2020
Geometric analysis on manifolds with ends
Alexander Grigor'yan, Satoshi Ishiwata, Laurent Saloff-Coste
In this survey article, we discuss some recent progress on geometric analysis on manifold with ends. In the final section, we construct manifolds with ends with oscillating volume…