16 citations · 47 across the 21 of their papers we have counts for
4 papers · 1 filter
The strength of diversity: mathematical proof that collections of variable individuals are robust in the face of challenges
Julie Rowlett, Carl-Joar Karlsson, Medet Nursultanov
Can one demonstrate quantitative effects of diversity within a system comprised of distinct individuals on the performance of the system as a whole? Assuming that individuals can b…
Narrow escape problem in the presence of the force field
Medet Nursultanov, William Trad, Leo Tzou
This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptoti…
On the Mean First Arrival Time of Brownian Particles on Riemannian Manifolds
Medet Nursultanov, Justin C. Tzou, Leo Tzou
We use geometric microlocal methods to compute an asymptotic expansion of mean first arrival time for Brownian particles on Riemannian manifolds. This approach provides a robust wa…
Biodiversity of marine microbes is safeguarded by phenotypic variability in ecological traits
Susanne Menden-Deuer, Medet Nursultanov, Sinead Collins +2
Why, contrary to theoretical predictions, do marine microbe communities harbor tremendous phenotypic heterogeneity? How can so many marine microbe species competing in the same nic…