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Scott Sheffield
Scott Sheffield
Professor of Mathematics, MIT
Verified email at math.mit.edu - Homepage
Title
Cited by
Cited by
Year
Gaussian free fields for mathematicians
S Sheffield
Probability theory and related fields 139 (3), 521-541, 2007
5902007
Dimers and amoebae
R Kenyon, A Okounkov, S Sheffield
Annals of mathematics, 1019-1056, 2006
5842006
Liouville quantum gravity and KPZ
B Duplantier, S Sheffield
Inventiones mathematicae 185 (2), 333-393, 2011
5662011
Tug-of-war and the infinity Laplacian
Y Peres, O Schramm, S Sheffield, D Wilson
Journal of the American Mathematical Society 22 (1), 167-210, 2009
5002009
Contour lines of the two-dimensional discrete Gaussian free field
O Schramm, S Sheffield
3452009
Tug-of-war with noise: A game-theoretic view of the -Laplacian
Y Peres, S Sheffield
2932008
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
S Sheffield
2912016
Liouville quantum gravity as a mating of trees
B Duplantier, J Miller, S Sheffield
arXiv preprint arXiv:1409.7055, 2014
2912014
Imaginary geometry I: interacting SLEs
J Miller, S Sheffield
Probability Theory and Related Fields 164, 553-705, 2016
2512016
Exploration trees and conformal loop ensembles
S Sheffield
2472009
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
S Sheffield, W Werner
Annals of Mathematics, 1827-1917, 2012
2342012
Liouville quantum gravity and the Brownian map I: the metric
J Miller, S Sheffield
Inventiones mathematicae 219 (1), 75-152, 2020
226*2020
A contour line of the continuum Gaussian free field
O Schramm, S Sheffield
Probability Theory and Related Fields 157 (1), 47-80, 2013
2242013
Random surfaces
S Sheffield
Société mathématique de France, 2005
2152005
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
J Miller, S Sheffield
Probability Theory and Related Fields 169, 729-869, 2017
2022017
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
J Miller, S Sheffield
The Annals of Probability 49 (6), 2732-2829, 2021
1752021
Critical Gaussian multiplicative chaos: convergence of the derivative martingale
B Duplantier, R Rhodes, S Sheffield, V Vargas
1732014
Renormalization of critical Gaussian multiplicative chaos and KPZ relation
B Duplantier, R Rhodes, S Sheffield, V Vargas
Communications in Mathematical Physics 330, 283-330, 2014
1592014
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
J Miller, S Sheffield
arXiv preprint arXiv:1608.05391, 2016
158*2016
Harmonic explorer and its convergence to SLE4
O Schramm, S Sheffield
1582005
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