Maria Deijfen: The winner takes it all

Competing first passage percolation describes the growth of two competing infections and was first studied on the \(Z^d\)-lattice. We study competing first passage percolation on a more heterogeneous graph structure, where the degrees of the vertices follow a power-law distribution with infinite variance. The main question is if the infection types can coexist, that is, if they can grow to occupy positive fractions of the vertex set simultaneously. I will elaborate on the answer, given in the title, and contrast this with the situation on \(Z^d\).