Solutions to the replicator equations

I gave a presentation on the asymptotic solutions to the replicator equation

\dot p_i=p_i(\sum_j a_{ij} p_j-\mathbf{p}\cdot\mathbf{Ap}),\quad i=1,\ldots,n,

where the matrix \mathbf{A} is given by a_{ij}=a_ib_j-c_i for three non-negative vectors \mathbf{a,\,b,\,c}. The presentation was
at Yulij Ilyashenko‘s seminar at Steklov Institute in Moscow. The slides can be found here. The full text of the paper that discusses the subject at length can be found here.


About Artem Novozhilov

I am an applied mathematician interested in studying various evolutionary processes by means of mathematical models. More on my professional activities can be found on my page
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