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A note on weak convergence results for uniform infinite causal triangulations

Abstract:

We discuss uniform infinite causal triangulations and equivalence to the size biased branching process measure - the critical Galton-Watson branching process distribution conditioned on non-extinction. Using known results from the theory of branching processes, this relation is used to prove weak convergence of the joint length-area process of a uniform infinite causal triangulations to a limiting diffusion. The diffusion equation enables us to determine the physical Hamiltonian and Green's f...

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Author
Publication date:
2011-12-31
Source identifiers:
222391
Keywords:
Pubs id:
pubs:222391
UUID:
uuid:88699570-a4d6-487b-9616-2951e866b45e
Local pid:
pubs:222391
Deposit date:
2012-12-19

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