12 citations · 12 across the 4 of their papers we have counts for
4 papers · 1 filter
Abelian oil and water dynamics does not have an absorbing-state phase transition
Elisabetta Candellero, Alexandre Stauffer, Lorenzo Taggi
The oil and water model is an interacting particle system with two types of particles and a dynamics that conserves the number of particles, which belongs to the so-called class of…
Polynomial mixing of the edge-flip Markov chain for unbiased dyadic tilings
Sarah Cannon, David Levin, Alexandre Stauffer
We give the first polynomial upper bound on the mixing time of the edge-flip Markov chain for unbiased dyadic tilings, resolving an open problem originally posed by Janson, Randall…
Mobile Geometric Graphs: Detection, Coverage and Percolation
Yuval Peres, Alistair Sinclair, Perla Sousi +1
We consider the following dynamic Boolean model introduced by van den Berg, Meester and White (1997). At time 0, let the nodes of the graph be a Poisson point process in R^d with c…
Mobile Geometric Graphs, and Detection and Communication Problems in Mobile Wireless Networks
Alistair Sinclair, Alexandre Stauffer
Static wireless networks are by now quite well understood mathematically through the random geometric graph model. By contrast, there are relatively few rigorous results on the pra…