In this paper, we study the distribution and behaviour of internal equilibria in a d-player n-strategy random evolutionary game where the game payoff matrix is generated from normal distributions. The study of this paper reveals and exploits interesting connections between evolutionary game theory and random polynomial theory. The main contributions of the paper are some qualitative and quantit...

Persistence diagrams play a fundamental role in Topological Data Analysis where they are used as topological descriptors of filtrations built on top of data. They consist in discrete multisets of points in the plane R2 that can equivalently be seen as discrete measures in R2. When the data come as a random point cloud, these discrete measures become random measures whose expectation is studied ...

Utilizing elementary geometric and probability considerations, we estimate the effect of crowd blocking in suicide bombing events. It is shown that the effect is quite significant. Beyond a certain threshold, the expected number of casualties decreases with the number of people in the arena. The numerical results of our model are consistent with casualty data from suicide bombing events in Isra...

Background: Parasite transmission rate often increases with population density, and selection is expected to favour individuals that differentially allocate immune resources according to future population density (density-dependent prophylaxis). Laboratory studies uphold these predictions, but field studies sometimes contradict them. Question: Do wild populations of Mormon crickets show density...

In vitro studies on cancer cell lines still constitutes a major part of cancer research. It is very important that the researchers consider the importance of basic conditions of working with different cell lines. To the best of authors knowledge, this study is the first one to report the effect of seeding density on the growth curve of three human cancer cell lines. These cell lines include hum...

The numerical simulation of a Poiseuille flow in a narrow channel using the molecular dynamics simulation (MDS) is performed. Poiseuille flow of liquid Argon in a nanochannel is simulated by embedding the fluid particles in a uniform force field. Density, velocity and Temperature profiles across the channel are investigated. When particles will be inserted into the flow, it is expected that the...