11 citations · 13 across the 8 of their papers we have counts for
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math-ph2005
Concentration of the first eigenfunction for a second order elliptic operator
D. Holcman, I. Kupka
We study the semi-classical limits of the first eigenfunction of a positive second order operator on a compact Riemannian manifold when the diffusion constant goes to zero. We…
math-ph2005★ 1 cited
The survival probability of diffusion with killing
D. Holcman, A. Marchewka, Z. Schuss
We present a general framework to study the effect of killing sources on moving particles, trafficking inside biological cells. We are merely concerned with the case of spine-dendr…
math.DG2005
The Boundary between Compact and Noncompact Complete Riemann Manifolds
D. Holcman, C. Pugh
In 1941 Sumner Myers proved that if the Ricci curvature of a complete Riemann manifold has a positive infimum then the manifold is compact and its diameter is bounded in terms of t…