6 citations · 6 across the 5 of their papers we have counts for
6 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…
The smash sum is the unique sum of open sets satisfying a natural list of axioms
Hannah Cairns
A sum of open sets is a map taking two bounded open sets and producing a new open set . We prove that, up to sets of measure zero, there is only one such sum sati…
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…
Some halting problems for abelian sandpiles are undecidable in dimension three
Hannah Cairns
The abelian sandpile model is a simple combinatorial model for critical behaviour which has the "abelian property" that the order in which we make moves does not change the final o…