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Grigoryan A, Sürig P. Volume Growth and On-diagonal Heat Kernel Bounds on Riemannian Manifolds with an End. Potential Analysis . 2022:33 Seiten. ; We investigate heat kernel estimates of the form p(t)(x,x) >= c(x)t(-alpha), for large enough t, where alpha and c(x) are positive reals and c(x) may depend on x, on manifolds having at least one end with a polynomial volume growth.