11 citations · 12 across the 6 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…
On Recovering the Shape of a Domain from the Trace of the Heat Kernel
Z. Schuss, A. Spivak
The problem of recovering geometric properties of a domain from the trace of the heat kernel for an initial-boundary value problem arises in NMR microscopy and other applications.…
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…