374 citations · 1.2k across the 68 of their papers we have counts for
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Schramm Loewner Evolution and Liouville Quantum Gravity
Bertrand Duplantier, Scott Sheffield
We conformally weld (via "quantum zipping") two boundary arcs of a Liouville quantum gravity random surface to generate a random curve called the Schramm-Loewner evolution (SLE). W…
Duality and KPZ in Liouville Quantum Gravity
Bertrand Duplantier, Scott Sheffield
We present a (mathematically rigorous) probabilistic and geometrical proof of the KPZ relation between scaling exponents in a Euclidean planar domain D and in Liouville quantum gra…
Dimers and Amoebae
Richard Kenyon, Andrei Okounkov, Scott Sheffield
We study random surfaces which arise as height functions of random perfect matchings (a.k.a. dimer configurations) on an weighted, bipartite, doubly periodic graph G embedded in th…