44 citations · 327 across the 39 of their papers we have counts for
6 papers · 1 filter
Three-speed ballistic annihilation: phase transition and universality
John Haslegrave, Vladas Sidoravicius, Laurent Tournier
We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980's physics literature. In this particle system, initial locations are given by a rene…
The ballistic annihilation threshold is positive
John Haslegrave
In the ballistic annihilation process, particles on the real line have independent speeds symmetrically distributed in and are annihilated by collisions. It is widely…
Spanning surfaces in 3-graphs
Agelos Georgakopoulos, John Haslegrave, Richard Montgomery +1
We prove a topological extension of Dirac's theorem suggested by Gowers in 2005: for any connected, closed surface , we show that any two-dimensional simplicial comple…
Condensation in preferential attachment models with location-based choice
John Haslegrave, Jonathan Jordan, Mark Yarrow
We introduce a model of a preferential attachment based random graph which extends the family of models in which condensation phenomena can occur. Each vertex has an associated uni…
Non-convergence of proportions of types in a preferential attachment graph with three co-existing types
John Haslegrave, Jonathan Jordan
We consider the preferential attachment model with multiple vertex types introduced by Antunović, Mossel and Rácz. We give an example with three types, based on the game of rock-pa…
Forcing large tight components in 3-graphs
Agelos Georgakopoulos, John Haslegrave, Richard Montgomery
Any -vertex -graph with minimum codegree at least must have a spanning tight component, but immediately below this threshold it is possible for no tight…