Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott |
|
2006
|
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott |
|
2011
|
Tug-of-war and the infinity Laplacian. Zbl 1206.91002
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B. |
|
2009
|
Gaussian free fields for mathematicians. Zbl 1132.60072
Sheffield, Scott |
|
2007
|
Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott |
|
2008
|
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051
Schramm, Oded; Sheffield, Scott |
|
2009
|
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott |
|
2016
|
Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144
Sheffield, Scott |
|
2016
|
Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Zbl 1271.60090
Sheffield, Scott; Werner, Wendelin |
|
2012
|
Exploration trees and conformal loop ensembles. Zbl 1170.60008
Sheffield, Scott |
|
2009
|
Random surfaces. Zbl 1104.60002
Sheffield, Scott |
|
2005
|
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott |
|
2017
|
A contour line of the continuum Gaussian free field. Zbl 1331.60090
Schramm, Oded; Sheffield, Scott |
|
2013
|
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent |
|
2014
|
Liouville quantum gravity as a mating of trees. Zbl 1503.60003
Duplantier, Bertrand; Miller, Jason; Sheffield, Scott |
|
2021
|
Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott |
|
2020
|
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent |
|
2014
|
Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\). Zbl 1393.60092
Miller, Jason; Sheffield, Scott |
|
2016
|
Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\). Zbl 1344.60078
Miller, Jason; Sheffield, Scott |
|
2016
|
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott |
|
2016
|
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012
Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott |
|
2006
|
Quantum gravity and inventory accumulation. Zbl 1359.60120
Sheffield, Scott |
|
2016
|
Harmonic explorer and its convergence to \(\text{SLE}_4\). Zbl 1095.60007
Schramm, Oded; Sheffield, Scott |
|
2005
|
Liouville quantum gravity and the Brownian map. III: The conformal structure is determined. Zbl 1478.60044
Miller, Jason; Sheffield, Scott |
|
2021
|
Conformal radii for conformal loop ensembles. Zbl 1187.82044
Schramm, Oded; Sheffield, Scott; Wilson, David B. |
|
2009
|
Fractional Gaussian fields: a survey. Zbl 1334.60055
Lodhia, Asad; Sheffield, Scott; Sun, Xin; Watson, Samuel S. |
|
2016
|
Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\). Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B. |
|
2019
|
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott |
|
2019
|
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding. Zbl 1478.60045
Miller, Jason; Sheffield, Scott |
|
2021
|
Logarithmic fluctuations for internal DLA. Zbl 1237.60037
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2012
|
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott |
|
2011
|
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola |
|
2011
|
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent |
|
2017
|
An axiomatic characterization of the Brownian map.
(Une caractérisation axiomatique de la carte Brownienne.) Zbl 1478.60043
Miller, Jason; Sheffield, Scott |
|
2021
|
Internal DLA and the Gaussian free field. Zbl 1296.60113
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2014
|
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2019
|
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2017
|
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 1484.60007
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2021
|
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition. Zbl 1268.35065
Antunović, Tonći; Peres, Yuval; Sheffield, Scott; Somersille, Stephanie |
|
2012
|
Vector-valued optimal Lipschitz extensions. Zbl 1233.35068
Sheffield, Scott; Smart, Charles K. |
|
2012
|
Internal DLA in higher dimensions. Zbl 1290.60051
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2013
|
Hausdorff dimension of the SLE curve intersected with the real line. Zbl 1192.60025
Alberts, Tom; Sheffield, Scott |
|
2008
|
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott |
|
2004
|
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2020
|
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity. Zbl 1441.60015
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2020
|
Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \). Zbl 1489.82008
Chandgotia, Nishant; Peled, Ron; Sheffield, Scott; Tassy, Martin |
|
2021
|
Large deviations of Markov chains indexed by random trees. Zbl 1078.60020
Dembo, Amir; Mörters, Peter; Sheffield, Scott |
|
2005
|
Power law Pólya’s urn and fractional Brownian motion. Zbl 1311.60044
Hammond, Alan; Sheffield, Scott |
|
2013
|
Random-turn hex and other selection games. Zbl 1153.91012
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B. |
|
2007
|
Ribbon tilings and multidimensional height functions. Zbl 1018.68057
Sheffield, Scott |
|
2002
|
Schramm’s proof of Watts’ formula. Zbl 1238.60089
Sheffield, Scott; Wilson, David B. |
|
2011
|
The covariant measure of SLE on the boundary. Zbl 1244.60081
Alberts, Tom; Sheffield, Scott |
|
2011
|
Deterministic approximations of random reflectors. Zbl 1408.37063
Angel, Omer; Burdzy, Krzysztof; Sheffield, Scott |
|
2013
|
Absolutely minimal Lipschitz extension of tree-valued mappings. Zbl 1276.46062
Naor, Assaf; Sheffield, Scott |
|
2012
|
Internal DLA for cylinders. Zbl 1334.60210
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2014
|
Simple conformal loop ensembles on Liouville quantum gravity. Zbl 1502.60068
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2022
|
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces. Zbl 1477.60125
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2021
|
Strong path convergence from Loewner driving function convergence. Zbl 1255.60148
Sheffield, Scott; Sun, Nike |
|
2012
|
Simple CLE in doubly connected domains. Zbl 1370.60141
Sheffield, Scott; Watson, Samuel S.; Wu, Hao |
|
2017
|
Geodesics and metric ball boundaries in Liouville quantum gravity. Zbl 1486.60021
Gwynne, Ewain; Pfeffer, Joshua; Sheffield, Scott |
|
2022
|
An invariance principle for ergodic scale-free random environments. Zbl 1500.60059
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2022
|
Brownian loops and the central charge of a Liouville random surface. Zbl 1489.60014
Ang, Morris; Park, Minjae; Pfeffer, Joshua; Sheffield, Scott |
|
2022
|
Scaling limits of the Schelling model. Zbl 1442.60100
Holden, Nina; Sheffield, Scott |
|
2020
|
Gaussian free field light cones and \(\text{SLE}_{\kappa}(\rho)\). Zbl 1453.60142
Miller, Jason; Sheffield, Scott |
|
2019
|
Tricolor percolation and random paths in 3D. Zbl 1307.60147
Sheffield, Scott; Yadin, Ariel |
|
2014
|
Equivalence of Liouville measure and Gaussian free field. Zbl 1516.60049
Berestycki, Nathanaël; Sheffield, Scott; Sun, Xin |
|
2023
|
Uniqueness of maximal entropy measure on essential spanning forests. Zbl 1106.60012
Sheffield, Scott |
|
2006
|
Linear speed large deviations for percolation clusters. Zbl 1060.60097
Kovchegov, Yevgeniy; Sheffield, Scott |
|
2003
|
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E. |
|
2013
|
Equivalence of Liouville measure and Gaussian free field. Zbl 1516.60049
Berestycki, Nathanaël; Sheffield, Scott; Sun, Xin |
|
2023
|
Simple conformal loop ensembles on Liouville quantum gravity. Zbl 1502.60068
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2022
|
Geodesics and metric ball boundaries in Liouville quantum gravity. Zbl 1486.60021
Gwynne, Ewain; Pfeffer, Joshua; Sheffield, Scott |
|
2022
|
An invariance principle for ergodic scale-free random environments. Zbl 1500.60059
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2022
|
Brownian loops and the central charge of a Liouville random surface. Zbl 1489.60014
Ang, Morris; Park, Minjae; Pfeffer, Joshua; Sheffield, Scott |
|
2022
|
Liouville quantum gravity as a mating of trees. Zbl 1503.60003
Duplantier, Bertrand; Miller, Jason; Sheffield, Scott |
|
2021
|
Liouville quantum gravity and the Brownian map. III: The conformal structure is determined. Zbl 1478.60044
Miller, Jason; Sheffield, Scott |
|
2021
|
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding. Zbl 1478.60045
Miller, Jason; Sheffield, Scott |
|
2021
|
An axiomatic characterization of the Brownian map.
(Une caractérisation axiomatique de la carte Brownienne.) Zbl 1478.60043
Miller, Jason; Sheffield, Scott |
|
2021
|
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 1484.60007
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2021
|
Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \). Zbl 1489.82008
Chandgotia, Nishant; Peled, Ron; Sheffield, Scott; Tassy, Martin |
|
2021
|
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces. Zbl 1477.60125
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2021
|
Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott |
|
2020
|
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2020
|
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to \(\sqrt{8/3}\)-Liouville quantum gravity. Zbl 1441.60015
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2020
|
Scaling limits of the Schelling model. Zbl 1442.60100
Holden, Nina; Sheffield, Scott |
|
2020
|
Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\). Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B. |
|
2019
|
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott |
|
2019
|
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott |
|
2019
|
Gaussian free field light cones and \(\text{SLE}_{\kappa}(\rho)\). Zbl 1453.60142
Miller, Jason; Sheffield, Scott |
|
2019
|
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott |
|
2017
|
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent |
|
2017
|
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin |
|
2017
|
Simple CLE in doubly connected domains. Zbl 1370.60141
Sheffield, Scott; Watson, Samuel S.; Wu, Hao |
|
2017
|
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott |
|
2016
|
Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144
Sheffield, Scott |
|
2016
|
Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\). Zbl 1393.60092
Miller, Jason; Sheffield, Scott |
|
2016
|
Imaginary geometry. II: Reversibility of \(\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})\) for \(\kappa\in(0,4)\). Zbl 1344.60078
Miller, Jason; Sheffield, Scott |
|
2016
|
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott |
|
2016
|
Quantum gravity and inventory accumulation. Zbl 1359.60120
Sheffield, Scott |
|
2016
|
Fractional Gaussian fields: a survey. Zbl 1334.60055
Lodhia, Asad; Sheffield, Scott; Sun, Xin; Watson, Samuel S. |
|
2016
|
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent |
|
2014
|
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent |
|
2014
|
Internal DLA and the Gaussian free field. Zbl 1296.60113
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2014
|
Internal DLA for cylinders. Zbl 1334.60210
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2014
|
Tricolor percolation and random paths in 3D. Zbl 1307.60147
Sheffield, Scott; Yadin, Ariel |
|
2014
|
A contour line of the continuum Gaussian free field. Zbl 1331.60090
Schramm, Oded; Sheffield, Scott |
|
2013
|
Internal DLA in higher dimensions. Zbl 1290.60051
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2013
|
Power law Pólya’s urn and fractional Brownian motion. Zbl 1311.60044
Hammond, Alan; Sheffield, Scott |
|
2013
|
Deterministic approximations of random reflectors. Zbl 1408.37063
Angel, Omer; Burdzy, Krzysztof; Sheffield, Scott |
|
2013
|
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E. |
|
2013
|
Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Zbl 1271.60090
Sheffield, Scott; Werner, Wendelin |
|
2012
|
Logarithmic fluctuations for internal DLA. Zbl 1237.60037
Jerison, David; Levine, Lionel; Sheffield, Scott |
|
2012
|
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition. Zbl 1268.35065
Antunović, Tonći; Peres, Yuval; Sheffield, Scott; Somersille, Stephanie |
|
2012
|
Vector-valued optimal Lipschitz extensions. Zbl 1233.35068
Sheffield, Scott; Smart, Charles K. |
|
2012
|
Absolutely minimal Lipschitz extension of tree-valued mappings. Zbl 1276.46062
Naor, Assaf; Sheffield, Scott |
|
2012
|
Strong path convergence from Loewner driving function convergence. Zbl 1255.60148
Sheffield, Scott; Sun, Nike |
|
2012
|
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott |
|
2011
|
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott |
|
2011
|
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola |
|
2011
|
Schramm’s proof of Watts’ formula. Zbl 1238.60089
Sheffield, Scott; Wilson, David B. |
|
2011
|
The covariant measure of SLE on the boundary. Zbl 1244.60081
Alberts, Tom; Sheffield, Scott |
|
2011
|
Tug-of-war and the infinity Laplacian. Zbl 1206.91002
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B. |
|
2009
|
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051
Schramm, Oded; Sheffield, Scott |
|
2009
|
Exploration trees and conformal loop ensembles. Zbl 1170.60008
Sheffield, Scott |
|
2009
|
Conformal radii for conformal loop ensembles. Zbl 1187.82044
Schramm, Oded; Sheffield, Scott; Wilson, David B. |
|
2009
|
Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott |
|
2008
|
Hausdorff dimension of the SLE curve intersected with the real line. Zbl 1192.60025
Alberts, Tom; Sheffield, Scott |
|
2008
|
Gaussian free fields for mathematicians. Zbl 1132.60072
Sheffield, Scott |
|
2007
|
Random-turn hex and other selection games. Zbl 1153.91012
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B. |
|
2007
|
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott |
|
2006
|
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012
Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott |
|
2006
|
Uniqueness of maximal entropy measure on essential spanning forests. Zbl 1106.60012
Sheffield, Scott |
|
2006
|
Random surfaces. Zbl 1104.60002
Sheffield, Scott |
|
2005
|
Harmonic explorer and its convergence to \(\text{SLE}_4\). Zbl 1095.60007
Schramm, Oded; Sheffield, Scott |
|
2005
|
Large deviations of Markov chains indexed by random trees. Zbl 1078.60020
Dembo, Amir; Mörters, Peter; Sheffield, Scott |
|
2005
|
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott |
|
2004
|
Linear speed large deviations for percolation clusters. Zbl 1060.60097
Kovchegov, Yevgeniy; Sheffield, Scott |
|
2003
|
Ribbon tilings and multidimensional height functions. Zbl 1018.68057
Sheffield, Scott |
|
2002
|