# Tag Archives: Population genetics

## Zero-one law and most recent common human ancestor

From Google+ by Terry Tao: A counter-intuitive manifestation of a zero-one law: according to computer models. everyone who was alive in 3000 BCE is either an ancestor of everyone alive today (including people in extremely remote and isolated communities), or else an ancestor of nobody alive today; … Continue reading

Vladimir Voevodsky is one of the most acclaimed contemporary pure mathematicians.  It is very interesting therefore to read his opinion about pure and applied mathematics. Here is a recent interview, made by another very good pure mathematician Roman Mikhailov (the interview … Continue reading

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## Lectures on Mathematical foundations of evolutionary theory

I looked through my lectures on the course I gave twice during the last couple of years and made some small changes, fixed a few typos, etc. Here are all the lectures together, in Russian: Lecture 0: A naive introduction … Continue reading

## A presentation on the Eigen model of prebiotic evolution

We decided to devote the final seminar this year to the models of prebiotic evolution. I was opening the seminar (we had total of four presentations) with a very basic discussion of the Eigen model and its mathematical formulation. Here … Continue reading

## Videos from Mathematical Biosciences Institute

Here is a list of videos, which I plan to watch: Run for your Life Odo Diekmann Effective population sizes and the canonical equation of adaptive dynamics Johan (=Hans) Metz Simple, very simple, and not so simple models of populations lingering around … Continue reading

## Eigen’s theory and paramuse model

This post is a continuation of this discussion of the error threshold. Consider a population of sequences of the length ; each sequence is composed from s and s, therefore there are different sequences. Consider the following mutation scheme: and … Continue reading