The propagation of a beneficial mutation in a spatially extended population is usually studied using the phenomenological stochastic Fisher-Kolmogorov-Petrovsky-Piscounov (SFKPP) equation. We derive here an individual-based, stochastic model founded on the spatial Moran process where fluctuations are treated exactly. The mean-field approximation of this model leads to an equation that is differ...

Modelling driving decisions: a latent plan approach Charisma F. Choudhury a b & Moshe E. Ben-Akiva b a Department of Civil Engineering , Bangladesh University of Engineering and Technology , Dhaka , Bangladesh b Department of Civil and Environmental Engineering , Massachusetts Institute of Technology , Cambridge , MA , USA Accepted author version posted online: 10 Nov 2011.Published online: 18 ...

The Dushnik–Miller Theorem states that every infinite countable linear ordering has a nontrivial self-embedding. We examine computability-theoretical aspects of this classical theorem.

Article history: Received 28 August 2015 Accepted 6 February 2017 Available online 16 February 2017 MSC: 03E15 03E17 03E35 03E75

We define some new kinds of pseudoprimes to several bases, which generalize strong pseudoprimes. We call them Sylow p-pseudoprimes and elementary Abelian p-pseudoprimes. It turns out that every n < 1012, which is a strong pseudoprime to bases 2, 3 and 5, is not a Sylow p-pseudoprime to two of these bases for an appropriate prime p|n− 1. We also give examples of strong pseudoprimes to many bases...