1 citations · 2 across the 5 of their papers we have counts for
5 papers
Two Phase Transitions for the Contact Process on Small Worlds
Rick Durrett, Paul Jung
In our version of Watts and Strogatz's small world model, space is a d-dimensional torus in which each individual has in addition exactly one long-range neighbor chosen at random f…
The Critical Value of the Contact Process with Added and Removed Edges
Paul Jung
We show that the critical value for the contact process on a vertex-transitive graph G with finitely many edges added and/or removed is the same as the critical value for the conta…
The noisy voter-exclusion process
Paul Jung
The symmetric exclusion process and the voter model are two interacting particle systems for which a dual finite particle system allows one to characterize its invariant measures.…
Extremal Reversible Measures for the Exclusion Process
Paul Jung
We give a characterization of the invariant measures for the exclusion process on the integers with certain reversible transition kernels. Some examples include all nearest-neighbo…
Perturbations of the Symmetric Exclusion Process
Paul Jung
For the exclusion process with symmetric kernel p(x,y)=p(y,x), the set of invariant measures has been completely studied. This paper gives results concerning the invariant measures…