11 citations · 12 across the 6 of their papers we have counts for
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math-ph2004★ 11 cited
Narrow Escape, Part III: Riemann surfaces and non-smooth domains
A. Singer, Z. Schuss, D. Holcman
We consider Brownian motion in a bounded domain on a two-dimensional Riemannian manifold . We assume that the boundary $\pΩ$ is smooth and reflects the trajectories, exc…
math-ph2004
Narrow Escape, Part II: The circular disk
A. Singer, Z. Schuss, D. Holcman
We consider Brownian motion in a circular disk , whose boundary $\pΩ$ is reflecting, except for a small arc, $\pΩ_a$, which is absorbing. As decr…
math-ph2004
Narrow Escape, Part I
A. Singer, Z. Schuss, D. Holcman +1
A Brownian particle with diffusion coefficient is confined to a bounded domain of volume in $\rR^3$ by a reflecting boundary, except for a small absorbing window. The mean…