4 papers
Symmetric Cooperative Motion in Higher Dimensions
Louigi Addario-Berry, Gavin Barill, Hannah Cairns +1
We prove a distributional convergence result for a multidimensional version of symmetric cooperative motion which was introduced and studied in one dimension in \cite{HRW, SCM1}. O…
Does freezing impede the growth of random recursive trees?
Anna Brandenberger, Simon Briend, Hannah Cairns +2
Uniform attachment with freezing is an extension of the classical model of random recursive trees, in which trees are recursively built by attaching new vertices to old ones. In th…
Note about the existence and essential uniqueness of quadrature domains
Hannah Cairns
This note is intended to explain the proof of two facts about quadrature domains: first, they are essentially unique if they exist; and second, they do exist for a large class of w…
Hipster random walks
Louigi Addario-Berry, Hannah Cairns, Luc Devroye +2
We introduce and study a family of random processes on trees we call hipster random walks, special instances of which we heuristically connect to the min-plus binary trees introduc…