Limiting behaviour of random spatial graphs and asymptotically homogeneous RWRE

We consider several random spatial graphs of the nearest-neighbour type, including the k- nearest neighbours graph, the on-line nearest-neighbour graph, and the minimal directed spanning tree. We study the large sample asymptotic behaviour of the total length of these graphs, with power-weighted edg...

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Bibliographic Details
Main Author: Wade, Andrew R.
Published: Durham University 2005
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.550131