3 papers
math.PR2018
A proof of the Bunkbed conjecture on the complete graph for
Paul de Buyer
The bunkbed of a graph is the graph . It has been conjectured that in the independent bond percolation model, the probability for $\left(u,0\right)…
math.PR2017
A Note on Helffer-Sjöstrand Representation for a Ginzburg-Landau Process
Paul de Buyer
In this work, we explore a link between an unbounded spin system given by a system of stochastic differential equations and a random walk. This allows us to study the decay of the…
math.CO2016
A proof of the bunkbed conjecture for the complete graph at
Paul de Buyer
The bunkbed of a graph is the graph . It has been conjectured that in the independent bond percolation model, the probability for to be connect…