5 citations · 5 across the 1 of their papers we have counts for
4 papers · 1 filter
Subcritical epidemics on random graphs
Oanh Nguyen, Allan Sly
We study the contact process on random graphs with low infection rate . For random -regular graphs, it is known that the survival time is below the critical $λ_…
Convergence of the Environment Seen from Geodesics in Exponential Last-Passage Percolation
James B. Martin, Allan Sly, Lingfu Zhang
A well-known question in planar first-passage percolation concerns the convergence of the empirical distribution of weights as seen along geodesics. We demonstrate this convergence…
On the number and size of Markov equivalence classes of random directed acyclic graphs
Dominik Schmid, Allan Sly
In causal inference on directed acyclic graphs, the orientation of edges is in general only recovered up to Markov equivalence classes. We study Markov equivalence classes of unifo…
Infinite cycles in the interchange process in five dimensions
Dor Elboim, Allan Sly
In the interchange process on a graph , distinguished particles are placed on the vertices of with independent Poisson clocks on the edges. When the clock of an edge r…