11 citations · 13 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
Singular perturbation for the first eigenfunction and blow up analysis
David Holcman, Ivan Kupka
On a compact Riemannian manifold (V_{m},g), we consider the second order positive operator L_ε = εΔ_{g} +(b,\nabla) +c, where -Δ_{g} is the Laplace-Beltrami operator and b is a Mor…
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…
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…
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…