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+
PDF
|
Statistical Physics and Random Surfaces
|
2024
|
Christophe Garban
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Fractional Gaussian forms and gauge theory: an overview
|
2024
|
Sky Cao
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Brownian loops on non-smooth surfaces and the Polyakov-Alvarez formula
|
2024
|
M.-K. Park
Joshua Pfeffer
Scott Sheffield⋆
|
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+
PDF
Chat
|
Large deviations for random hives and the spectrum of the sum of two random matrices
|
2024
|
Hariharan Narayanan
Scott Sheffield⋆
|
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+
|
Sums of GUE matrices and concentration of hives from correlation decay of eigengaps
|
2023
|
Hariharan Narayanan
Scott Sheffield⋆
Terence Tao
|
|
+
|
What is a random surface?
|
2023
|
Scott Sheffield⋆
|
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+
PDF
Chat
|
Equivalence of Liouville measure and Gaussian free field
|
2023
|
Nathanaël Berestycki
Scott Sheffield⋆
Xin Sun
|
|
+
|
Brownian loops on non-smooth surfaces and the Polyakov-Alvarez formula
|
2023
|
Minjae Park
Joshua Pfeffer
Scott Sheffield⋆
|
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+
|
Large deviations for the 3D dimer model
|
2023
|
Nishant Chandgotia
Scott Sheffield⋆
Catherine Wolfram
|
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+
|
Wilson loop expectations as sums over surfaces on the plane
|
2023
|
Minjae Park
Joshua Pfeffer
Scott Sheffield⋆
Yu Pu
|
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+
|
Scaling limits of planar maps under the Smith embedding
|
2023
|
Federico Bertacco
Ewain Gwynne
Scott Sheffield⋆
|
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+
|
Sums of GUE matrices and concentration of hives from correlation decay of eigengaps
|
2023
|
Hariharan Narayanan
Scott Sheffield⋆
Terence Tao
|
|
+
|
Random surfaces and lattice Yang-Mills
|
2023
|
Sky Cao
Minjae Park
Scott Sheffield⋆
|
|
+
PDF
|
Brownian loops and the central charge of a Liouville random surface
|
2022
|
Morris Ang
Minjae Park
Joshua Pfeffer
Scott Sheffield⋆
|
|
+
PDF
|
Simple conformal loop ensembles on Liouville quantum gravity
|
2022
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
PDF
Chat
|
Geodesics and metric ball boundaries in Liouville quantum gravity
|
2022
|
Ewain Gwynne
Joshua Pfeffer
Scott Sheffield⋆
|
|
+
PDF
|
An invariance principle for ergodic scale-free random environments
|
2022
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
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+
|
Mitigation Policy for The Covid-19 Pandemic: Intertemporal Optimisationusing an Seir Model
|
2022
|
J.M. Maciejowski
Robert Rowthorn
Scott Sheffield⋆
David Vines
Anne Williamson
|
|
+
|
What is a random surface?
|
2022
|
Scott Sheffield⋆
|
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+
PDF
|
Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding
|
2021
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Delocalization of Uniform Graph Homomorphisms from $${\mathbb {Z}}^2$$ to $${\mathbb {Z}}$$
|
2021
|
Nishant Chandgotia
Ron Peled
Scott Sheffield⋆
Martin Tassy
|
|
+
PDF
|
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
|
2021
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
PDF
|
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
|
2021
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Cost/benefit analysis of Covid-19 pandemic suppression using an SEIR model
|
2021
|
David Vines
J.M. Maciejowski
Robert Rowthorn
Scott Sheffield⋆
Annie Williamson
|
|
+
PDF
|
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
|
2021
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
An axiomatic characterization of the Brownian map
|
2021
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Large deviations for random hives and the spectrum of the sum of two random matrices
|
2021
|
Hariharan Narayanan
Scott Sheffield⋆
|
|
+
|
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
|
2020
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
PDF
|
Strict Physical Distancing May Be More Efficient: A Mathematical Argument for Making Lockdowns Count
|
2020
|
Scott Sheffield⋆
Anna York
Nicole A. Swartwood
Alyssa Bilinski
Anne Williamson
Meagan C. Fitzpatrick
|
|
+
|
Best and worst policy control in low-prevalence SEIR
|
2020
|
Scott Sheffield⋆
|
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+
|
Geodesics and metric ball boundaries in Liouville quantum gravity
|
2020
|
Ewain Gwynne
Joshua Pfeffer
Scott Sheffield⋆
|
|
+
|
Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces
|
2020
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
Simple Conformal Loop Ensembles on Liouville Quantum Gravity
|
2020
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
Brownian loops and the central charge of a Liouville random surface
|
2020
|
Morris Ang
Minjae Park
Joshua Pfeffer
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Non-simple SLE curves are not determined by their range
|
2019
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
PDF
|
The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $$\sqrt{8/3}$$-Liouville Quantum Gravity
|
2019
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Gaussian free field light cones and $\mathrm{SLE}_{\kappa }(\rho )$
|
2019
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Liouville quantum gravity spheres as matings of finite-diameter trees
|
2019
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Liouville quantum gravity and the Brownian map I: the $$\mathrm{QLE}(8/3,0)$$ metric
|
2019
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Scaling limits of the Schelling model
|
2019
|
Nina Holden
Scott Sheffield⋆
|
|
+
PDF
|
Bipolar orientations on planar maps and $\mathrm{SLE}_{12}$
|
2019
|
Richard Kenyon
Jason Miller
Scott Sheffield⋆
David B. Wilson
|
|
+
|
Harmonic functions on mated-CRT maps
|
2019
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Laplacian determinants and random surfaces
|
2019
|
Scott Sheffield⋆
|
|
+
|
Delocalization of uniform graph homomorphisms from $\mathbb{Z}^2$ to $\mathbb{Z}$
|
2018
|
Nishant Chandgotia
Ron Peled
Scott Sheffield⋆
Martin Tassy
|
|
+
|
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $\sqrt{8/3}$-Liouville quantum gravity
|
2018
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Harmonic functions on mated-CRT maps
|
2018
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Scaling limits of the Schelling model
|
2018
|
Nina Holden
Scott Sheffield⋆
|
|
+
|
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $\sqrt{8/3}$-Liouville quantum gravity
|
2018
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Harmonic functions on mated-CRT maps
|
2018
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
An invariance principle for ergodic scale-free random environments
|
2018
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Delocalization of uniform graph homomorphisms from $\mathbb{Z}^2$ to $\mathbb{Z}$
|
2018
|
Nishant Chandgotia
Ron Peled
Scott Sheffield⋆
Martin Tassy
|
|
+
|
Scaling limits of the Schelling model
|
2018
|
Nina Holden
Scott Sheffield⋆
|
|
+
PDF
|
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
|
2017
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
|
2017
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Six-vertex model and Schramm-Loewner evolution
|
2017
|
Richard Kenyon
Jason Miller
Scott Sheffield⋆
David B. Wilson
|
|
+
PDF
|
Simple CLE in doubly connected domains
|
2017
|
Scott Sheffield⋆
Samuel S. Watson
Hao Wu
|
|
+
PDF
|
CLE PERCOLATIONS
|
2017
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
PDF
|
Log-correlated Gaussian Fields: An Overview
|
2017
|
Bertrand Duplantier
Rémi Rhodes
Scott Sheffield⋆
Vincent Vargas
|
|
+
|
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity
|
2017
|
Ewain Gwynne
Jason Miller
Scott Sheffield⋆
|
|
+
|
Quantum gravity and inventory accumulation
|
2016
|
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Quantum Loewner evolution
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Non-simple SLE curves are not determined by their range
|
2016
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
|
2016
|
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Imaginary geometry III: reversibility of \SLE_\kappa for \kappa \in (4,8)
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Imaginary geometry III: reversibility of SLE_κ for κ\in (4,8)
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Gaussian free field light cones and SLE$_\kappa(\rho)$
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Imaginary geometry II: Reversibility of $\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})$ for $\kappa\in(0,4)$
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Imaginary geometry II: Reversibility of SLE[subscript κ](ρ[subscript 1];ρ[subscript 2]) for κ ∈ (0,4)
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Imaginary geometry I: interacting SLEs
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Fractional Gaussian fields: A survey
|
2016
|
Asad Lodhia
Scott Sheffield⋆
Xin Sun
Samuel S. Watson
|
|
+
|
Field-measure correspondence in Liouville quantum gravity almost surely commutes with all conformal maps simultaneously
|
2016
|
Scott Sheffield⋆
Menglu Wang
|
|
+
|
Imaginary geometry II: Reversibility of SLEκ(ρ1;ρ2) for κ∈(0,4).
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity and the Brownian map II: geodesics and continuity of the embedding
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Non-simple SLE curves are not determined by their range
|
2016
|
Jason Miller
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
Gaussian free field light cones and SLE$_κ(ρ)$
|
2016
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Bipolar orientations on planar maps and SLE$_{12}$
|
2015
|
Richard Kenyon
Jason Miller
Scott Sheffield⋆
David B. Wilson
|
|
+
|
An axiomatic characterization of the Brownian map
|
2015
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity spheres as matings of finite-diameter trees
|
2015
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric
|
2015
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Bipolar orientations on planar maps and SLE 12
|
2015
|
Richard Kenyon
Jason Miller
Scott Sheffield⋆
David B. Wilson
|
|
+
|
Bipolar orientations on planar maps and SLE$_{12}$
|
2015
|
RICHARD L. KENYON
Jason Miller
Scott Sheffield⋆
David B. Wilson
|
|
+
|
An axiomatic characterization of the Brownian map
|
2015
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity spheres as matings of finite-diameter trees
|
2015
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity and the Gaussian free field
|
2014
|
Nathanaël Berestycki
Xin Sun
Scott Sheffield⋆
|
|
+
|
Liouville quantum gravity as a mating of trees
|
2014
|
Bertrand Duplantier
Jason Miller
Scott Sheffield⋆
|
|
+
|
Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
|
2014
|
Bertrand Duplantier
Rémi Rhodes
Scott Sheffield⋆
Vincent Vargas
|
|
+
|
Fractional Gaussian fields: a survey
|
2014
|
Asad Lodhia
Scott Sheffield⋆
Xin Sun
Samuel S. Watson
|
|
+
PDF
|
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ Relation
|
2014
|
Bertrand Duplantier
Rémi Rhodes
Scott Sheffield⋆
Vincent Vargas
|
|
+
PDF
Chat
|
Internal DLA and the Gaussian free field
|
2014
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
|
Internal DLA for Cylinders
|
2014
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
|
Equivalence of Liouville measure and Gaussian free field
|
2014
|
Nathanaël Berestycki
Scott Sheffield⋆
Xin Sun
|
|
+
PDF
|
Tricolor percolation and random paths in 3D
|
2014
|
Scott Sheffield⋆
Ariel Yadin
|
|
+
|
Simple CLE in Doubly Connected Domains
|
2014
|
Scott Sheffield⋆
Samuel S. Watson
Hao Wu
|
|
+
|
Fractional Gaussian fields: a survey
|
2014
|
Asad Lodhia
Scott Sheffield⋆
Xin Sun
Samuel S. Watson
|
|
+
|
Log-correlated Gaussian fields: an overview
|
2014
|
Bertrand Duplantier
Rémi Rhodes
Scott Sheffield⋆
Vincent Vargas
|
|
+
|
Liouville quantum gravity as a mating of trees
|
2014
|
Bertrand Duplantier
Jason Miller
Scott Sheffield⋆
|
|
+
|
Tricolor Percolation: is there a 3D SLE_6?
|
2013
|
Scott Sheffield⋆
Ariel Yadin
|
|
+
|
Tricolor percolation and random paths in 3D
|
2013
|
Scott Sheffield⋆
Ariel Yadin
|
|
+
|
A duality principle for selection games
|
2013
|
Lionel Levine
Scott Sheffield⋆
Katherine E. Stange
|
|
+
PDF
|
Deterministic approximations of random reflectors
|
2013
|
Omer Angel
Krzysztof Burdzy
Scott Sheffield⋆
|
|
+
|
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
|
2013
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
A Particle System with Interlacing Pattern SPUR Final Paper, Summer 2013
|
2013
|
Yanlin Zhao
Mentor Xin Sun
Scott Sheffield⋆
|
|
+
PDF
|
Internal DLA in higher dimensions
|
2013
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
|
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
|
2013
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Tricolor percolation and random paths in 3D
|
2013
|
Scott Sheffield⋆
Ariel Yadin
|
|
+
|
Internal DLA for cylinders
|
2013
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
PDF
|
Power law Pólya’s urn and fractional Brownian motion
|
2012
|
Alan Hammond
Scott Sheffield⋆
|
|
+
PDF
|
A contour line of the continuum Gaussian free field
|
2012
|
Oded Schramm
Scott Sheffield⋆
|
|
+
PDF
|
Conformal loop ensembles: the Markovian characterization and the loop-soup construction
|
2012
|
Scott Sheffield⋆
Wendelin Werner
|
|
+
PDF
|
Tug-of-War and Infinity Laplace Equation with Vanishing Neumann Boundary Condition
|
2012
|
Tonći Antunović
Yuval Peres
Scott Sheffield⋆
Stephanie Somersille
|
|
+
|
Deterministic approximations of random reflectors
|
2012
|
Omer Angel
Krzysztof Burdzy
Scott Sheffield⋆
|
|
+
|
Strong path convergence from Loewner driving function convergence
|
2012
|
Scott Sheffield⋆
Nike Sun
|
|
+
|
Imaginary Geometry I: Interacting SLEs
|
2012
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Imaginary geometry III: reversibility of SLE_\kappa\ for \kappa \in (4,8)
|
2012
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Imaginary geometry II: reversibility of SLE_\kappa(\rho_1;\rho_2) for \kappa \in (0,4)
|
2012
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
|
2012
|
Bertrand Duplantier
Rémi Rhodes
Scott Sheffield⋆
Vincent Vargas
|
|
+
|
Imaginary geometry II: reversibility of SLE_κ(ρ_1;ρ_2) for κ\in (0,4)
|
2012
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Deterministic approximations of random reflectors
|
2012
|
Omer Angel
Krzysztof Burdzy
Scott Sheffield⋆
|
|
+
|
Imaginary geometry III: reversibility of SLE_κ for κ\in (4,8)
|
2012
|
Jason Miller
Scott Sheffield⋆
|
|
+
|
Imaginary Geometry I: Interacting SLEs
|
2012
|
Jason Miller
Scott Sheffield⋆
|
|
+
PDF
|
Absolutely minimal Lipschitz extension of tree-valued mappings
|
2011
|
Assaf Naor
Scott Sheffield⋆
|
|
+
PDF
|
Vector‐valued optimal Lipschitz extensions
|
2011
|
Scott Sheffield⋆
Charles K. Smart
|
|
+
PDF
|
Schramm-Loewner Evolution and Liouville Quantum Gravity
|
2011
|
Bertrand Duplantier
Scott Sheffield⋆
|
|
+
|
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition
|
2011
|
Tonći Antunović
Yuval Peres
Scott Sheffield⋆
Stephanie Somersille
|
|
+
|
Schramm’s proof of Watts’ formula
|
2011
|
Scott Sheffield⋆
David B. Wilson
|
|
+
|
A natural parametrization for the Schramm–Loewner evolution
|
2011
|
Gregory F. Lawler
Scott Sheffield⋆
|
|
+
|
Schramm-Loewner Evolution and Liouville Quantum Gravity
|
2011
|
Bertrand Duplantier
Scott Sheffield⋆
|
|
+
|
Logarithmic fluctuations for internal DLA
|
2011
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
|
Quantum gravity and inventory accumulation
|
2011
|
Scott Sheffield⋆
|
|
+
|
18.440 Probability and Random Variables, Spring 2011
|
2011
|
Scott Sheffield⋆
|
|
+
|
Absolute continuity of Brownian bridges under certain gauge transformations
|
2011
|
Andrea R. Nahmod
Luc Rey-Bellet
Scott Sheffield⋆
Gigliola Staffilani
|
|
+
PDF
|
Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations
|
2011
|
Andrea R. Nahmod
Luc Rey-Bellet
Scott Sheffield⋆
Gigliola Staffilani
|
|
+
|
Contour lines of the two-dimensional discrete Gaussian free field
|
2011
|
Oded Schramm
Scott Sheffield⋆
|
|
+
|
Tug-of-War and the Infinity Laplacian
|
2011
|
Yuval Peres
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
|
+
|
Conformal Radii for Conformal Loop Ensembles
|
2011
|
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
|
+
|
Quantum gravity and inventory accumulation
|
2011
|
Scott Sheffield⋆
|
|
+
|
Absolute continuity of Brownian bridges under certain gauge transformations
|
2011
|
Andrea R. Nahmod
Luc Rey-Bellet
Scott Sheffield⋆
Gigliola Staffilani
|
|
+
|
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition
|
2011
|
Tonći Antunović
Yuval Peres
Scott Sheffield⋆
Stephanie Somersille
|
|
+
PDF
|
Liouville quantum gravity and KPZ
|
2010
|
Bertrand Duplantier
Scott Sheffield⋆
|
|
+
|
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
|
2010
|
Scott Sheffield⋆
|
|
+
|
Internal DLA in Higher Dimensions
|
2010
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
|
Logarithmic fluctuations for internal DLA
|
2010
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
|
+
|
Conformal Loop Ensembles: The Markovian Characterization
|
2010
|
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
A contour line of the continuum Gaussian free field
|
2010
|
Oded Schramm
Scott Sheffield⋆
|
|
+
|
Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction
|
2010
|
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
Vector-valued optimal Lipschitz extensions
|
2010
|
Scott Sheffield⋆
Charles K. Smart
|
|
+
|
Absolutely minimal Lipschitz extension of tree-valued mappings
|
2010
|
Assaf Naor
Scott Sheffield⋆
|
|
+
|
Strong path convergence from Loewner driving convergence
|
2010
|
Scott Sheffield⋆
Nike Sun
|
|
+
|
Conformal Loop Ensembles: Construction via Loop-soups
|
2010
|
Scott Sheffield⋆
Wendelin Werner
|
|
+
|
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
|
2010
|
Scott Sheffield⋆
|
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+
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Internal DLA in Higher Dimensions
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2010
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
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+
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A contour line of the continuum Gaussian free field
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2010
|
Oded Schramm
Scott Sheffield⋆
|
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+
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Absolutely minimal Lipschitz extension of tree-valued mappings
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2010
|
Assaf Naor
Scott Sheffield⋆
|
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+
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Logarithmic fluctuations for internal DLA
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2010
|
David Jerison
Lionel Levine
Scott Sheffield⋆
|
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+
|
Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction
|
2010
|
Scott Sheffield⋆
Wendelin Werner
|
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+
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Vector-valued optimal Lipschitz extensions
|
2010
|
Scott Sheffield⋆
Charles K. Smart
|
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+
PDF
|
The covariant measure of SLE on the boundary
|
2009
|
Tom Alberts
Scott Sheffield⋆
|
|
+
PDF
|
Duality and the Knizhnik-Polyakov-Zamolodchikov Relation in Liouville Quantum Gravity
|
2009
|
Bertrand Duplantier
Scott Sheffield⋆
|
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+
|
Power law Polya's urn and fractional Brownian motion
|
2009
|
Alan Hammond
Scott Sheffield⋆
|
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+
PDF
Chat
|
Exploration trees and conformal loop ensembles
|
2009
|
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Conformal Radii for Conformal Loop Ensembles
|
2009
|
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
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+
|
The natural parametrization for the Schramm-Loewner evolution
|
2009
|
Gregory F. Lawler
Scott Sheffield⋆
|
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+
PDF
|
Contour lines of the two-dimensional discrete Gaussian free field
|
2009
|
Oded Schramm
Scott Sheffield⋆
|
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+
|
Power law Polya's urn and fractional Brownian motion
|
2009
|
Alan Hammond
Scott Sheffield⋆
|
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+
|
Duality and KPZ in Liouville Quantum Gravity
|
2009
|
Bertrand Duplantier
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Tug-of-war with noise: A game-theoretic view of the p-Laplacian
|
2008
|
Yuval Peres
Scott Sheffield⋆
|
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+
|
Liouville Quantum Gravity and KPZ
|
2008
|
Bertrand Duplantier
Scott Sheffield⋆
|
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+
|
Tug-of-war and the infinity Laplacian
|
2008
|
Yuval Peres
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
|
+
PDF
|
Hausdorff Dimension of the SLE Curve Intersected with the Real Line
|
2008
|
Tom Alberts
Scott Sheffield⋆
|
|
+
|
Liouville Quantum Gravity and KPZ
|
2008
|
Bertrand Duplantier
Scott Sheffield⋆
|
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+
|
Hausdorff dimension of the SLE curve intersected with the real line
|
2007
|
Tom Alberts
Scott Sheffield⋆
|
|
+
PDF
|
Gaussian free fields for mathematicians
|
2007
|
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Random-Turn Hex and Other Selection Games
|
2007
|
Yuval Peres
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
|
+
|
Hausdorff dimension of the SLE curve intersected with the real line
|
2007
|
Tom Alberts
Scott Sheffield⋆
|
|
+
PDF
Chat
|
Markov chains in smooth Banach spaces and Gromov-hyperbolic metric spaces
|
2006
|
Assaf Naor
Yuval Peres
Oded Schramm
Scott Sheffield⋆
|
|
+
PDF
|
Dimers and amoebae
|
2006
|
Richard Kenyon
Andreĭ Okounkov
Scott Sheffield⋆
|
|
+
PDF
|
Uniqueness of maximal entropy measure on essential spanning forests
|
2006
|
Scott Sheffield⋆
|
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+
|
Tug of war with noise: a game theoretic view of the p-Laplacian
|
2006
|
Yuval Peres
Scott Sheffield⋆
|
|
+
|
Exploration trees and conformal loop ensembles
|
2006
|
Scott Sheffield⋆
|
|
+
|
Contour lines of the two-dimensional discrete Gaussian free field
|
2006
|
Oded Schramm
Scott Sheffield⋆
|
|
+
PDF
|
Harmonic explorer and its convergence to SLE4
|
2005
|
Oded Schramm
Scott Sheffield⋆
|
|
+
|
Random-Turn Hex and other selection games
|
2005
|
Yuval Peres
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
|
+
PDF
|
Large deviations of Markov chains indexed by random trees
|
2005
|
Amir Dembo
Peter Mörters
Scott Sheffield⋆
|
|
+
|
Random-Turn Hex and other selection games
|
2005
|
Yuval Peres
Oded Schramm
Scott Sheffield⋆
David B. Wilson
|
|
+
PDF
Chat
|
Dimers, tilings and trees
|
2004
|
Richard Kenyon
Scott Sheffield⋆
|
|
+
|
Markov chains in smooth Banach spaces and Gromov hyperbolic metric spaces
|
2004
|
Assaf Naor
Yuval Peres
Oded Schramm
Scott Sheffield⋆
|
|
+
|
Markov chains in smooth Banach spaces and Gromov hyperbolic metric spaces
|
2004
|
Assaf Naor
Yuval Peres
Oded Schramm
Scott Sheffield⋆
|
|
+
|
Dimers and Amoebae
|
2003
|
Richard Kenyon
Andreĭ Okounkov
Scott Sheffield⋆
|
|
+
|
Random Surfaces: Large Deviations Principles and Gradient Gibbs Measure Classifications
|
2003
|
Scott Sheffield⋆
|
|
+
|
A large-deviation theorem for tree-indexed Markov chains
|
2003
|
Amir Dembo
Peter Mörters
Scott Sheffield⋆
|
|
+
|
Linear Speed Large Deviations for Percolation Clusters
|
2003
|
Yevgeniy Kovchegov
Scott Sheffield⋆
|
|
+
|
Dimers, Tilings and Trees
|
2003
|
Richard Kenyon
Scott Sheffield⋆
|
|
+
|
Linear speed large deviations for percolation clusters
|
2003
|
Yevgeniy Kovchegov
Scott Sheffield⋆
|
|
+
|
Gaussian free fields for mathematicians
|
2003
|
Scott Sheffield⋆
|
|
+
|
Random surfaces
|
2003
|
Scott Sheffield⋆
|
|
+
|
Random Surfaces
|
2003
|
Scott Sheffield⋆
|
|
+
|
Dimers and Amoebae
|
2003
|
Richard Kenyon
Andreĭ Okounkov
Scott Sheffield⋆
|
|
+
PDF
|
Ribbon tilings and multidimensional height functions
|
2002
|
Scott Sheffield⋆
|
|
+
|
Ribbon Tilings and Multidimensional Height Functions
|
2001
|
Scott Sheffield⋆
|
|
+
|
Computing and Sampling Restricted Vertex Degree Subgraphs and Hamiltonian Cycles
|
2000
|
Scott Sheffield⋆
|