39 citations · 180 across the 41 of their papers we have counts for
4 papers · 1 filter
Noninvadability implies noncoexistence for a class of cancellative systems
Jan M. Swart
There exist a number of results proving that for certain classes of interacting particle systems in population genetics, mutual invadability of types implies coexistence. In this p…
Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q
Yuan Huang, Kun Chen, Youjin Deng +5
We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite…
Entropy-driven phase transition in low-temperature antiferromagnetic Potts models
Roman Kotecký, Alan D. Sokal, Jan M. Swart
We prove the existence of long-range order at sufficiently low temperatures, including zero temperature, for the three-state Potts antiferromagnet on a class of quasi-transitive pl…
Systems of branching, annihilating, and coalescing particles
Siva Athreya, Jan Swart
This paper studies systems of particles following independent random walks and subject to annihilation, binary branching, coalescence, and deaths. In the case without annihilation,…