Journal article
A note on weak convergence results for uniform infinite causal triangulations
- Abstract:
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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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Bibliographic Details
- Publication date:
- 2011-12-31
- Source identifiers:
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222391
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- Copyright date:
- 2011
- Notes:
- 23 pages, 2 figures
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