Liouville quantum gravity and the Brownian map I: the $$\mathrm{QLE}(8/3,0)$$QLE(8/3,0) metric
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DOI: 10.1007/s00222-019-00905-1
Abstract: Liouville quantum gravity (LQG) and the Brownian map (TBM) are two distinct models of measure-endowed random surfaces. LQG is defined in terms of a real parameter $$\gamma $$γ, and it has long been believed that… read more here.
Keywords: quantum; liouville quantum; qle; brownian map ... See more keywords
On quasisymmetric embeddings of the Brownian map and continuum trees
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DOI: 10.1007/s00440-020-01024-2
Abstract: The Brownian map is a model of random geometry on the sphere and as such an important object in probability theory and physics. It has been linked to Liouville Quantum Gravity and much research has… read more here.
Keywords: continuum trees; brownian map; map; mathrm mathbb ... See more keywords