K. Elworthy

activity

19952019

most citedFormulae for the derivatives of heat semigroups

309 citations · 392 across the 15 of their papers we have counts for

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dg-ga1997

Bounded and $L^{2}$ Harmonic Forms on Universal Covers

K. D. Elworthy, Xue-Mei Li, Steven Rosenberg

We relate the positivity of the curvature term in the Weitzenbock formula for the Laplacian on p-forms on a complete manifold to the existence of bounded and $L^{2}$ harmonic forms.…

dg-ga1995

Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows

K. D. Elworthy, Steven Rosenberg

We relate stability properties (i.e. moment exponents) of a stochastic dynamical system on a compact manifold $M$ to the homotopy and integral homology groups of $M$ . In the specia…

Bounded and L2 Harmonic Forms on Universal Covers

Homotopy and Homology Vanishing Theorems and the Stability of Stochastic Flows

Bounded and $L^{2}$ Harmonic Forms on Universal Covers