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Fix an arbitrary compact orientable surface with a boundary and consider a uniform bipartite random quadrangulation of this surface with $n$ faces and boundary component lengths of order $\sqrt n$ or of lower order.
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Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere
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The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to 8 / 3 \sqrt{8/3} -Liouville quantum gravity
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Integrability of Liouville theory: proof of the DOZZ formula
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Liouville quantum gravity and the Brownian map I: the QLE ( 8 / 3 , 0 ) \mathrm{QLE}(8/3,0) metric
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Segal’s axioms and bootstrap for Liouville theory
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Convergence of the self-avoiding walk on random quadrangulations to SLE 8 / 3 \rm SLE_{8/3} on 8 / 3 \sqrt{8/3} -Liouville quantum gravity
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Existence and uniqueness of the Liouville quantum gravity metric for γ ∈ ( 0 , 2 ) \gamma\in(0,2)
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Spine representations for non-compact models of random geometry
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An axiomatic characterization of the Brownian map
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Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding
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Liouville quantum gravity and the Brownian map III: the conformal structure is determined
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Mating of trees for random planar maps and Liouville quantum gravity: a survey
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