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Sheffield, Scott

Co-Author Distance
Author ID: sheffield.scott Recent zbMATH articles by "Sheffield, Scott"
Published as: Sheffield, Scott; Sheffield, S.
Further Spellings: Sheffield, Scott Roger
Homepage: http://math.mit.edu/~sheffield/
External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Awards: Clay Research Award (2017)
Documents Indexed: 87 Publications since 2000, including 2 Books and 14 Additional arXiv Preprints
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 56 Co-Authors with 78 Joint Publications
1,591 Co-Co-Authors
all top 5

Co-Authors

10 single-authored
22 Miller, Jason P.
7 Duplantier, Bertrand
7 Schramm, Oded
6 Gwynne, Ewain
6 Werner, Wendelin
6 Wilson, David Bruce
5 Levine, Lionel
5 Peres, Yuval
4 Jerison, David S.
4 Kenyon, Richard W.
4 Park, Minjae
4 Pfeffer, Joshua
3 Rhodes, Rémi
3 Vargas, Vincent
2 Alberts, Tom
2 Cao, Sky
2 Chandgotia, Nishant
2 Dembo, Amir
2 Mörters, Peter
2 Naor, Assaf
2 Narayanan, Hariharan
2 Sun, Xin
2 Watson, Samuel S.
1 Ang, Morris
1 Angel, Omer
1 Antunović, Tonći
1 Berestycki, Nathanaël
1 Bertacco, Federico
1 Burdzy, Krzysztof
1 Hammond, Alan
1 Hilário, Marcelo Richard
1 Holden, Nina
1 Kovchegov, Yevgeniy V.
1 Lawler, Gregory Francis
1 Lodhia, Asad
1 Louidor, Oren
1 Nahmod, Andrea R.
1 Newman, Charles Michael
1 Okun’kov, Andreĭ Yur’evich
1 Peled, Ron
1 Rey-Bellet, Luc
1 Rolla, Leonardo T.
1 Sidoravicius, Vladas
1 Smart, Charles K.
1 Somersille, Stephanie J.
1 Spencer, Thomas C.
1 Staffilani, Gigliola
1 Stange, Katherine E.
1 Sun, Nike
1 Tao, Terence
1 Tassy, Martin
1 Wang, Menglu
1 Wolfram, Catherine
1 Wu, Hao
1 Yadin, Ariel
1 Yu, Pu
all top 5

Serials

16 The Annals of Probability
10 Probability Theory and Related Fields
5 Duke Mathematical Journal
4 Communications in Mathematical Physics
4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
4 Electronic Journal of Probability
3 Annals of Mathematics. Second Series
2 Communications on Pure and Applied Mathematics
2 Acta Mathematica
2 Inventiones Mathematicae
2 Transactions of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Astérisque
1 American Mathematical Monthly
1 Journal of Combinatorial Theory. Series B
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Communications in Partial Differential Equations
1 Mathematical Research Letters
1 Electronic Communications in Probability
1 Journal of the European Mathematical Society (JEMS)
1 IAS/Park City Mathematics Series
1 Probability Surveys
1 Forum of Mathematics, Pi
1 Journal de l’École Polytechnique – Mathématiques
all top 5

Fields

70 Probability theory and stochastic processes (60-XX)
28 Statistical mechanics, structure of matter (82-XX)
10 Combinatorics (05-XX)
6 Quantum theory (81-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Measure and integration (28-XX)
5 Partial differential equations (35-XX)
5 Relativity and gravitational theory (83-XX)
2 General and overarching topics; collections (00-XX)
2 Functions of a complex variable (30-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Functional analysis (46-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

69 Publications have been cited 3,433 times in 1,486 Documents Cited by ▼ Year ▼
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
266
2006
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
249
2011
Tug-of-war and the infinity Laplacian. Zbl 1206.91002
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
231
2009
Gaussian free fields for mathematicians. Zbl 1132.60072
Sheffield, Scott
222
2007
Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott
137
2008
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051
Schramm, Oded; Sheffield, Scott
133
2009
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott
131
2016
Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144
Sheffield, Scott
122
2016
Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Zbl 1271.60090
Sheffield, Scott; Werner, Wendelin
100
2012
Exploration trees and conformal loop ensembles. Zbl 1170.60008
Sheffield, Scott
99
2009
Random surfaces. Zbl 1104.60002
Sheffield, Scott
98
2005
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott
98
2017
A contour line of the continuum Gaussian free field. Zbl 1331.60090
Schramm, Oded; Sheffield, Scott
95
2013
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
86
2014
Liouville quantum gravity as a mating of trees. Zbl 1503.60003
Duplantier, Bertrand; Miller, Jason; Sheffield, Scott
86
2021
Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott
85
2020
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
70
2014
Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\). Zbl 1393.60092
Miller, Jason; Sheffield, Scott
70
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
69
2016
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott
64
2016
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012
Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott
54
2006
Quantum gravity and inventory accumulation. Zbl 1359.60120
Sheffield, Scott
52
2016
Harmonic explorer and its convergence to \(\text{SLE}_4\). Zbl 1095.60007
Schramm, Oded; Sheffield, Scott
51
2005
Liouville quantum gravity and the Brownian map. III: The conformal structure is determined. Zbl 1478.60044
Miller, Jason; Sheffield, Scott
51
2021
Conformal radii for conformal loop ensembles. Zbl 1187.82044
Schramm, Oded; Sheffield, Scott; Wilson, David B.
41
2009
Fractional Gaussian fields: a survey. Zbl 1334.60055
Lodhia, Asad; Sheffield, Scott; Sun, Xin; Watson, Samuel S.
39
2016
Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\). Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
38
2019
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott
37
2019
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding. Zbl 1478.60045
Miller, Jason; Sheffield, Scott
37
2021
Logarithmic fluctuations for internal DLA. Zbl 1237.60037
Jerison, David; Levine, Lionel; Sheffield, Scott
33
2012
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott
33
2011
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola
32
2011
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
27
2017
An axiomatic characterization of the Brownian map. (Une caractérisation axiomatique de la carte Brownienne.) Zbl 1478.60043
Miller, Jason; Sheffield, Scott
27
2021
Internal DLA and the Gaussian free field. Zbl 1296.60113
Jerison, David; Levine, Lionel; Sheffield, Scott
25
2014
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
23
2019
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin
23
2017
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 1484.60007
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
22
2021
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition. Zbl 1268.35065
Antunović, Tonći; Peres, Yuval; Sheffield, Scott; Somersille, Stephanie
22
2012
Vector-valued optimal Lipschitz extensions. Zbl 1233.35068
Sheffield, Scott; Smart, Charles K.
21
2012
Internal DLA in higher dimensions. Zbl 1290.60051
Jerison, David; Levine, Lionel; Sheffield, Scott
20
2013
Hausdorff dimension of the SLE curve intersected with the real line. Zbl 1192.60025
Alberts, Tom; Sheffield, Scott
17
2008
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott
16
2004
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin
15
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
14
2020
Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \). Zbl 1489.82008
Chandgotia, Nishant; Peled, Ron; Sheffield, Scott; Tassy, Martin
14
2021
Large deviations of Markov chains indexed by random trees. Zbl 1078.60020
Dembo, Amir; Mörters, Peter; Sheffield, Scott
12
2005
Power law Pólya’s urn and fractional Brownian motion. Zbl 1311.60044
Hammond, Alan; Sheffield, Scott
12
2013
Random-turn hex and other selection games. Zbl 1153.91012
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
12
2007
Ribbon tilings and multidimensional height functions. Zbl 1018.68057
Sheffield, Scott
10
2002
Schramm’s proof of Watts’ formula. Zbl 1238.60089
Sheffield, Scott; Wilson, David B.
10
2011
The covariant measure of SLE on the boundary. Zbl 1244.60081
Alberts, Tom; Sheffield, Scott
9
2011
Deterministic approximations of random reflectors. Zbl 1408.37063
Angel, Omer; Burdzy, Krzysztof; Sheffield, Scott
8
2013
Absolutely minimal Lipschitz extension of tree-valued mappings. Zbl 1276.46062
Naor, Assaf; Sheffield, Scott
8
2012
Internal DLA for cylinders. Zbl 1334.60210
Jerison, David; Levine, Lionel; Sheffield, Scott
7
2014
Simple conformal loop ensembles on Liouville quantum gravity. Zbl 1502.60068
Miller, Jason; Sheffield, Scott; Werner, Wendelin
7
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
6
2021
Strong path convergence from Loewner driving function convergence. Zbl 1255.60148
Sheffield, Scott; Sun, Nike
6
2012
Simple CLE in doubly connected domains. Zbl 1370.60141
Sheffield, Scott; Watson, Samuel S.; Wu, Hao
5
2017
Geodesics and metric ball boundaries in Liouville quantum gravity. Zbl 1486.60021
Gwynne, Ewain; Pfeffer, Joshua; Sheffield, Scott
5
2022
An invariance principle for ergodic scale-free random environments. Zbl 1500.60059
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
5
2022
Brownian loops and the central charge of a Liouville random surface. Zbl 1489.60014
Ang, Morris; Park, Minjae; Pfeffer, Joshua; Sheffield, Scott
3
2022
Scaling limits of the Schelling model. Zbl 1442.60100
Holden, Nina; Sheffield, Scott
3
2020
Gaussian free field light cones and \(\text{SLE}_{\kappa}(\rho)\). Zbl 1453.60142
Miller, Jason; Sheffield, Scott
3
2019
Tricolor percolation and random paths in 3D. Zbl 1307.60147
Sheffield, Scott; Yadin, Ariel
2
2014
Equivalence of Liouville measure and Gaussian free field. Zbl 1516.60049
Berestycki, Nathanaël; Sheffield, Scott; Sun, Xin
2
2023
Uniqueness of maximal entropy measure on essential spanning forests. Zbl 1106.60012
Sheffield, Scott
1
2006
Linear speed large deviations for percolation clusters. Zbl 1060.60097
Kovchegov, Yevgeniy; Sheffield, Scott
1
2003
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E.
1
2013
Equivalence of Liouville measure and Gaussian free field. Zbl 1516.60049
Berestycki, Nathanaël; Sheffield, Scott; Sun, Xin
2
2023
Simple conformal loop ensembles on Liouville quantum gravity. Zbl 1502.60068
Miller, Jason; Sheffield, Scott; Werner, Wendelin
7
2022
Geodesics and metric ball boundaries in Liouville quantum gravity. Zbl 1486.60021
Gwynne, Ewain; Pfeffer, Joshua; Sheffield, Scott
5
2022
An invariance principle for ergodic scale-free random environments. Zbl 1500.60059
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
5
2022
Brownian loops and the central charge of a Liouville random surface. Zbl 1489.60014
Ang, Morris; Park, Minjae; Pfeffer, Joshua; Sheffield, Scott
3
2022
Liouville quantum gravity as a mating of trees. Zbl 1503.60003
Duplantier, Bertrand; Miller, Jason; Sheffield, Scott
86
2021
Liouville quantum gravity and the Brownian map. III: The conformal structure is determined. Zbl 1478.60044
Miller, Jason; Sheffield, Scott
51
2021
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding. Zbl 1478.60045
Miller, Jason; Sheffield, Scott
37
2021
An axiomatic characterization of the Brownian map. (Une caractérisation axiomatique de la carte Brownienne.) Zbl 1478.60043
Miller, Jason; Sheffield, Scott
27
2021
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 1484.60007
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
22
2021
Delocalization of uniform graph homomorphisms from \({\mathbb{Z}}^2\) to \({\mathbb{Z}} \). Zbl 1489.82008
Chandgotia, Nishant; Peled, Ron; Sheffield, Scott; Tassy, Martin
14
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
6
2021
Liouville quantum gravity and the Brownian map. I: The \(\text{QLE}(8/3,0)\) metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott
85
2020
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin
15
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
14
2020
Scaling limits of the Schelling model. Zbl 1442.60100
Holden, Nina; Sheffield, Scott
3
2020
Bipolar orientations on planar maps and \(\mathrm{SLE}_{12}\). Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
38
2019
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott
37
2019
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
23
2019
Gaussian free field light cones and \(\text{SLE}_{\kappa}(\rho)\). Zbl 1453.60142
Miller, Jason; Sheffield, Scott
3
2019
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott
98
2017
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
27
2017
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin
23
2017
Simple CLE in doubly connected domains. Zbl 1370.60141
Sheffield, Scott; Watson, Samuel S.; Wu, Hao
5
2017
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott
131
2016
Conformal weldings of random surfaces: SLE and the quantum gravity zipper. Zbl 1388.60144
Sheffield, Scott
122
2016
Imaginary geometry. III: Reversibility of \(\mathrm{SLE}_\kappa\) for \(\kappa \in (4,8)\). Zbl 1393.60092
Miller, Jason; Sheffield, Scott
70
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
69
2016
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott
64
2016
Quantum gravity and inventory accumulation. Zbl 1359.60120
Sheffield, Scott
52
2016
Fractional Gaussian fields: a survey. Zbl 1334.60055
Lodhia, Asad; Sheffield, Scott; Sun, Xin; Watson, Samuel S.
39
2016
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
86
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
70
2014
Internal DLA and the Gaussian free field. Zbl 1296.60113
Jerison, David; Levine, Lionel; Sheffield, Scott
25
2014
Internal DLA for cylinders. Zbl 1334.60210
Jerison, David; Levine, Lionel; Sheffield, Scott
7
2014
Tricolor percolation and random paths in 3D. Zbl 1307.60147
Sheffield, Scott; Yadin, Ariel
2
2014
A contour line of the continuum Gaussian free field. Zbl 1331.60090
Schramm, Oded; Sheffield, Scott
95
2013
Internal DLA in higher dimensions. Zbl 1290.60051
Jerison, David; Levine, Lionel; Sheffield, Scott
20
2013
Power law Pólya’s urn and fractional Brownian motion. Zbl 1311.60044
Hammond, Alan; Sheffield, Scott
12
2013
Deterministic approximations of random reflectors. Zbl 1408.37063
Angel, Omer; Burdzy, Krzysztof; Sheffield, Scott
8
2013
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E.
1
2013
Conformal loop ensembles: the Markovian characterization and the loop-soup construction. Zbl 1271.60090
Sheffield, Scott; Werner, Wendelin
100
2012
Logarithmic fluctuations for internal DLA. Zbl 1237.60037
Jerison, David; Levine, Lionel; Sheffield, Scott
33
2012
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition. Zbl 1268.35065
Antunović, Tonći; Peres, Yuval; Sheffield, Scott; Somersille, Stephanie
22
2012
Vector-valued optimal Lipschitz extensions. Zbl 1233.35068
Sheffield, Scott; Smart, Charles K.
21
2012
Absolutely minimal Lipschitz extension of tree-valued mappings. Zbl 1276.46062
Naor, Assaf; Sheffield, Scott
8
2012
Strong path convergence from Loewner driving function convergence. Zbl 1255.60148
Sheffield, Scott; Sun, Nike
6
2012
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
249
2011
A natural parametrization for the Schramm-Loewner evolution. Zbl 1234.60087
Lawler, Gregory F.; Sheffield, Scott
33
2011
Absolute continuity of Brownian bridges under certain gauge transformations. Zbl 1250.60018
Nahmod, Andrea R.; Rey-Bellet, Luc; Sheffield, Scott; Staffilani, Gigliola
32
2011
Schramm’s proof of Watts’ formula. Zbl 1238.60089
Sheffield, Scott; Wilson, David B.
10
2011
The covariant measure of SLE on the boundary. Zbl 1244.60081
Alberts, Tom; Sheffield, Scott
9
2011
Tug-of-war and the infinity Laplacian. Zbl 1206.91002
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
231
2009
Contour lines of the two-dimensional discrete Gaussian free field. Zbl 1210.60051
Schramm, Oded; Sheffield, Scott
133
2009
Exploration trees and conformal loop ensembles. Zbl 1170.60008
Sheffield, Scott
99
2009
Conformal radii for conformal loop ensembles. Zbl 1187.82044
Schramm, Oded; Sheffield, Scott; Wilson, David B.
41
2009
Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian. Zbl 1206.35112
Peres, Yuval; Sheffield, Scott
137
2008
Hausdorff dimension of the SLE curve intersected with the real line. Zbl 1192.60025
Alberts, Tom; Sheffield, Scott
17
2008
Gaussian free fields for mathematicians. Zbl 1132.60072
Sheffield, Scott
222
2007
Random-turn hex and other selection games. Zbl 1153.91012
Peres, Yuval; Schramm, Oded; Sheffield, Scott; Wilson, David B.
12
2007
Dimers and amoebae. Zbl 1154.82007
Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott
266
2006
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces. Zbl 1108.46012
Naor, Assaf; Peres, Yuval; Schramm, Oded; Sheffield, Scott
54
2006
Uniqueness of maximal entropy measure on essential spanning forests. Zbl 1106.60012
Sheffield, Scott
1
2006
Random surfaces. Zbl 1104.60002
Sheffield, Scott
98
2005
Harmonic explorer and its convergence to \(\text{SLE}_4\). Zbl 1095.60007
Schramm, Oded; Sheffield, Scott
51
2005
Large deviations of Markov chains indexed by random trees. Zbl 1078.60020
Dembo, Amir; Mörters, Peter; Sheffield, Scott
12
2005
Dimers, tilings and trees. Zbl 1055.05032
Kenyon, Richard W.; Sheffield, Scott
16
2004
Linear speed large deviations for percolation clusters. Zbl 1060.60097
Kovchegov, Yevgeniy; Sheffield, Scott
1
2003
Ribbon tilings and multidimensional height functions. Zbl 1018.68057
Sheffield, Scott
10
2002
all cited Publications top 5 cited Publications
all top 5

Cited by 1,382 Authors

50 Sheffield, Scott
41 Gwynne, Ewain
39 Miller, Jason P.
36 Rossi, Julio Daniel
26 Manfredi, Juan J.
26 Rhodes, Rémi
26 Vargas, Vincent
24 Sun, Xin
22 Ding, Jian
22 Parviainen, Mikko
20 Holden, Nina
19 Naor, Assaf
18 Wu, Hao
17 Peres, Yuval
17 Toninelli, Fabio Lucio
15 Werner, Wendelin
14 Kenyon, Richard W.
14 Viklund, Fredrik Johansson
13 Borodin, Alexei
13 Camia, Federico
13 Garban, Christophe
13 Katzourakis, Nikolaos I.
13 Sepúlveda, Avelio
12 Aru, Juhan
12 Berestycki, Nathanaël
12 Blanc, Pablo
12 Gorin, Vadim
12 Lawler, Gregory Francis
12 Liu, Fang
12 Saksman, Eero
11 Boutillier, Cédric
11 Curien, Nicolas
11 Di Francesco, Philippe
11 Duplantier, Bertrand
11 Levine, Lionel
11 Pfeffer, Joshua
10 Dubédat, Julien
10 Schramm, Oded
10 Webb, Christian
10 Wilson, David Bruce
9 Chhita, Sunil
9 Lacoin, Hubert
9 Laslier, Benoît
9 Lewicka, Marta
9 Liu, Qing
9 Powell, Ellen
9 Pronko, Andrei G.
9 Zhou, Yuan
8 Ang, Morris
8 Arroyo, Angel
8 Cimasoni, David
8 Cipriani, Alessandra
8 Duits, Maurice
8 Duminil-Copin, Hugo
8 Ganguly, Shirshendu
8 Kupiainen, Antti
8 Le Gall, Jean-François
8 Qian, Wei
8 Reshetikhin, Nikolai Yu.
8 Tzvetkov, Nikolay
8 Zeitouni, Ofer
7 Armstrong, Scott N.
7 Charro, Fernando
7 Ciucu, Mihai
7 Colomo, Filippo
7 de Tilière, Béatrice
7 Guitter, Emmanuel
7 Hazra, Rajat Subhra
7 Johansson, Kurt
7 Kytölä, Kalle
7 Lee, James R.
7 Lis, Marcin
7 Lupu, Titus
7 Margarint, Vlad
7 Peled, Ron
7 Peltola, Eveliina
7 Petrov, Leonid
7 Ruszel, Wioletta Magdalena
7 Smits, Robert G.
7 Yamazaki, Masahito
7 Zhan, Dapeng
6 Aggarwal, Amol
6 Avni, Guy
6 Beliaev, Dmitri B.
6 Biskup, Marek
6 Borga, Jacopo
6 Budd, Timothy G.
6 Corwin, Ivan Z.
6 Flores, Steven M.
6 Franco, Sebastián
6 Henzinger, Thomas A.
6 Jin, Xiong
6 Kleban, Peter
6 Oh, Tadahiro
6 Ostrovskii, Dmitrii M.
6 Pérez-Llanos, Mayte
6 Ray, Gourab
6 Remy, Guillaume F.
6 Smart, Charles K.
6 Sohinger, Vedran
...and 1,282 more Authors
all top 5

Cited in 259 Serials

138 Communications in Mathematical Physics
107 Probability Theory and Related Fields
95 The Annals of Probability
58 Journal of Statistical Physics
45 Electronic Journal of Probability
43 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
26 Journal of Statistical Mechanics: Theory and Experiment
24 The Annals of Applied Probability
23 Journal of Physics A: Mathematical and Theoretical
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Transactions of the American Mathematical Society
21 Communications on Pure and Applied Mathematics
21 Duke Mathematical Journal
20 Journal of High Energy Physics
19 Stochastic Processes and their Applications
17 Proceedings of the American Mathematical Society
17 Calculus of Variations and Partial Differential Equations
16 Advances in Mathematics
15 Journal of Mathematical Physics
15 Journal of Differential Equations
14 Inventiones Mathematicae
14 Annales Henri Poincaré
13 Journal of Functional Analysis
12 Journal of the European Mathematical Society (JEMS)
12 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
11 Mathematische Annalen
11 Electronic Communications in Probability
11 Probability Surveys
11 Probability and Mathematical Physics
10 Journal of Mathematical Analysis and Applications
10 Nuclear Physics. B
10 Potential Analysis
10 Communications on Pure and Applied Analysis
10 ALEA. Latin American Journal of Probability and Mathematical Statistics
9 Israel Journal of Mathematics
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Journal of the American Mathematical Society
9 Geometric and Functional Analysis. GAFA
9 Communications in Partial Differential Equations
9 The Electronic Journal of Combinatorics
9 Oberwolfach Reports
8 Journal of the London Mathematical Society. Second Series
8 Statistics & Probability Letters
8 Journal of Theoretical Probability
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Archive for Rational Mechanics and Analysis
7 Letters in Mathematical Physics
7 Proceedings of the London Mathematical Society. Third Series
7 Selecta Mathematica. New Series
7 Bernoulli
7 Annals of Mathematics. Second Series
6 Acta Mathematica
6 Annales de l’Institut Fourier
6 Bulletin of the American Mathematical Society. New Series
6 Communications in Contemporary Mathematics
6 Advanced Nonlinear Studies
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 The Journal of Geometric Analysis
5 SIAM Journal on Mathematical Analysis
5 NoDEA. Nonlinear Differential Equations and Applications
5 Discrete and Continuous Dynamical Systems
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Journal de l’École Polytechnique – Mathématiques
4 Physica A
4 Journal of Combinatorial Theory. Series A
4 Journal of Mathematical Sciences (New York)
4 Mathematical Physics, Analysis and Geometry
4 Forum of Mathematics, Pi
4 Forum of Mathematics, Sigma
3 Journal d’Analyse Mathématique
3 Nonlinearity
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Publications Mathématiques
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 European Journal of Combinatorics
3 Discrete & Computational Geometry
3 Revista Matemática Iberoamericana
3 Journal of Scientific Computing
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Séminaire Lotharingien de Combinatoire
3 Geometry & Topology
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Complex Variables and Elliptic Equations
3 Advances in Calculus of Variations
3 Science China. Mathematics
3 S\(\vec{\text{e}}\)MA Journal
3 Journal of Elliptic and Parabolic Equations
3 Algebraic Combinatorics
3 Mathematics in Engineering
3 Annales Henri Lebesgue
2 Advances in Applied Probability
2 Discrete Mathematics
2 Journal of Computational Physics
2 Theoretical and Mathematical Physics
2 Reviews in Mathematical Physics
2 Journal of Geometry and Physics
2 Applied Mathematics and Computation
...and 159 more Serials
all top 5

Cited in 58 Fields

812 Probability theory and stochastic processes (60-XX)
461 Statistical mechanics, structure of matter (82-XX)
347 Partial differential equations (35-XX)
216 Combinatorics (05-XX)
158 Quantum theory (81-XX)
87 Functions of a complex variable (30-XX)
78 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
58 Measure and integration (28-XX)
52 Calculus of variations and optimal control; optimization (49-XX)
51 Dynamical systems and ergodic theory (37-XX)
50 Functional analysis (46-XX)
46 Algebraic geometry (14-XX)
46 Potential theory (31-XX)
45 Relativity and gravitational theory (83-XX)
42 Differential geometry (53-XX)
38 Convex and discrete geometry (52-XX)
31 Numerical analysis (65-XX)
31 Computer science (68-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
23 Number theory (11-XX)
23 Operator theory (47-XX)
20 Special functions (33-XX)
18 Real functions (26-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Ordinary differential equations (34-XX)
15 General topology (54-XX)
14 Statistics (62-XX)
14 Fluid mechanics (76-XX)
13 Group theory and generalizations (20-XX)
13 Several complex variables and analytic spaces (32-XX)
11 General and overarching topics; collections (00-XX)
11 Geometry (51-XX)
10 Associative rings and algebras (16-XX)
10 Topological groups, Lie groups (22-XX)
10 Operations research, mathematical programming (90-XX)
9 Difference and functional equations (39-XX)
9 Mechanics of particles and systems (70-XX)
8 History and biography (01-XX)
8 Nonassociative rings and algebras (17-XX)
8 Abstract harmonic analysis (43-XX)
8 Information and communication theory, circuits (94-XX)
7 Commutative algebra (13-XX)
7 Integral equations (45-XX)
6 Manifolds and cell complexes (57-XX)
5 Biology and other natural sciences (92-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 Mathematical logic and foundations (03-XX)
2 Field theory and polynomials (12-XX)
2 Approximations and expansions (41-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mechanics of deformable solids (74-XX)
2 Systems theory; control (93-XX)
1 Category theory; homological algebra (18-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

Citations by Year

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