73 citations · 80 across the 4 of their papers we have counts for
4 papers
Fastest first-passage time for multiple searchers with finite speed
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
We study analytically and numerically the mean fastest first-passage time (fFPT) to an immobile target for an ensemble of independent finite-speed random searchers driven by di…
Fastest first-passage time statistics for time-dependent particle injection
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
A common scenario in a variety of biological systems is that multiple particles are searching in parallel for an immobile target located in a bounded domain, and the fastest among…
Towards a full quantitative description of single-molecule reaction kinetics in biological cells
Denis S. Grebenkov, Ralf Metzler, Gleb Oshanin
The first-passage time (FPT), i.e., the moment when a stochastic process reaches a given threshold value for the first time, is a fundamental mathematical concept with immediate ap…
Trajectory-to-trajectory fluctuations in first-passage phenomena in bounded domains
T. G. Mattos, C. Mejía-Monasterio, R. Metzler +2
We study the statistics of the first passage of a random walker to absorbing subsets of the boundary of compact domains in different spatial dimensions. We describe a novel diagnos…