82 citations · 179 across the 13 of their papers we have counts for
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math.PR2009★ 10 cited
The natural parametrization for the Schramm-Loewner evolution
Gregory F. Lawler, Scott Sheffield
The Schramm-Loewner evolution (SLE_κ) is a candidate for the scaling limit of random curves arising in two-dimensional critical phenomena. When κ< 8, an instance of SLE_κis a rando…
math-ph2009★ 59 cited
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…