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math.PR2017★ 9 cited
The local limit of the uniform spanning tree on dense graphs
Jan Hladký, Asaf Nachmias, Tuan Tran
Let be a connected graph in which almost all vertices have linear degrees and let be a uniform spanning tree of . For any fixed rooted tree of height we compute…
math.PR2017
Geometric and spectral properties of causal maps
Nicolas Curien, Tom Hutchcroft, Asaf Nachmias
We study the random planar map obtained from a critical, finite variance, Galton-Watson plane tree by adding the horizontal connections between successive vertices at each level. T…