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math.PR2013
How Vertex reinforced jump process arises naturally
Xiaolin Zeng
We prove that the only nearest neighbor jump process with local dependence on the occupation times satisfying the partial exchangeability property is the vertex reinforced jump pro…
math.PR2013
A Russo Seymour Welsh Theorem for critical site percolation on \(\mathbb{Z}^2\)
Xiaolin Zeng
The Russo-Seymour-Welsh Theorem for Z^2 bond or T (triangular lattice) site percolation states that at criticality, for all fixed real λ, the probability of the existence of a hori…