65 citations · 65 across the 3 of their papers we have counts for
3 papers
math-ph2008★ 65 cited
Narrow escape and leakage of Brownian particles
A. Singer, Z. Schuss, D. Holcman
Questions of flux regulation in biological cells raise renewed interest in the narrow escape problem. The often inadequate expansions of the narrow escape time are due to a not so…
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.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…