554 citations · 2.3k across the 174 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
math.PR2004
Branching Processes, and Random-Cluster Measures on Trees
Geoffrey Grimmett, Svante Janson
Random-cluster measures on infinite regular trees are studied in conjunction with a general type of `boundary condition', namely an equivalence relation on the set of infinite path…
quant-ph2004
Convergence of coined quantum walks on d-dimensional Euclidean space
Alex D. Gottlieb, Svante Janson, Petra F. Scudo
Coined quantum walks may be interpreted as the motion in position space of a quantum particle with a spin degree of freedom; the dynamics are determined by iterating a unitary tran…
math.PR2004★ 54 cited
Robust reconstruction on trees is determined by the second eigenvalue
Svante Janson, Elchanan Mossel
Consider a Markov chain on an infinite tree T=(V,E) rooted at ρ. In such a chain, once the initial root state σ(ρ) is chosen, each vertex iteratively chooses its state from the one…