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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…