Publications (62)
Imaginary geometry II: reversibility of SLE_κ(Ï_1;Ï_2) for κ\in (0,4)
Jason Miller, Scott Sheffield
Conformal radii for conformal loop ensembles
Oded Schramm, Scott Sheffield, David B. Wilson
Imaginary Geometry I: Interacting SLEs
Jason Miller, Scott Sheffield
Exploration trees and conformal loop ensembles
Scott Sheffield
CLE percolations
Jason Miller, Scott Sheffield, Wendelin Werner
Deterministic approximations of random reflectors
Omer Angel, Krzysztof Burdzy, Scott Sheffield
Absolutely minimal Lipschitz extension of tree-valued mappings
Assaf Naor, Scott Sheffield
Strong path convergence from Loewner driving function convergence
Scott Sheffield, Nike Sun
The Covariant Measure of SLE on the Boundary
Tom Alberts, Scott Sheffield
Liouville quantum gravity spheres as matings of finite-diameter trees
Jason Miller, Scott Sheffield
Field-measure correspondence in Liouville quantum gravity almost surely commutes with all conformal maps simultaneously
Scott Sheffield, Menglu Wang
Tug-of-war and the infinity Laplacian
Yuval Peres, Oded Schramm, Scott Sheffield +1
Imaginary geometry III: reversibility of SLE_κ for κ\in (4,8)
Jason Miller, Scott Sheffield
Random Surfaces
Scott Sheffield
Quantum gravity and inventory accumulation
Scott Sheffield
Gaussian free field light cones and SLE$_κ(Ï)$
Jason Miller, Scott Sheffield
Harmonic functions on mated-CRT maps
Ewain Gwynne, Jason Miller, Scott Sheffield
Internal DLA for cylinders
David Jerison, Lionel Levine, Scott Sheffield
Computing and Sampling Restricted Vertex Degree Subgraphs and Hamiltonian Cycles
Scott Sheffield
Markov chains in smooth Banach spaces and Gromov hyperbolic metric spaces
Assaf Naor, Yuval Peres, Oded Schramm +1
Critical Gaussian multiplicative chaos: Convergence of the derivative martingale
Bertrand Duplantier, Rémi Rhodes, Scott Sheffield +1
Fractional Gaussian fields: a survey
Asad Lodhia, Scott Sheffield, Xin Sun +1
Renormalization of Critical Gaussian Multiplicative Chaos and KPZ formula
Bertrand Duplantier, Rémi Rhodes, Scott Sheffield +1
A duality principle for selection games
Lionel Levine, Scott Sheffield, Katherine E. Stange
Tricolor percolation and random paths in 3D
Scott Sheffield, Ariel Yadin
Fixation for Distributed Clustering Processes
Marcelo R. Hilario, Oren Louidor, Charles M. Newman +3
Quantum Loewner Evolution
Jason Miller, Scott Sheffield
Conformal Loop Ensembles: Construction via Loop-soups
Scott Sheffield, Wendelin Werner
Liouville Quantum Gravity and KPZ
Bertrand Duplantier, Scott Sheffield
Linear speed large deviations for percolation clusters
Yevgeniy Kovchegov, Scott Sheffield
Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric
Jason Miller, Scott Sheffield
Dimers, Tilings and Trees
Richard Kenyon, Scott Sheffield
Schramm Loewner Evolution and Liouville Quantum Gravity
Bertrand Duplantier, Scott Sheffield
Bipolar orientations on planar maps and SLE$_{12}$
Richard Kenyon, Jason Miller, Scott Sheffield +1
Internal DLA in Higher Dimensions
David Jerison, Lionel Levine, Scott Sheffield
Scaling limits of the Schelling model
Nina Holden, Scott Sheffield
Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees
Jason Miller, Scott Sheffield
The harmonic explorer and its convergence to SLE(4)
Oded Schramm, Scott Sheffield
Schramm's proof of Watts' formula
Scott Sheffield, David B. Wilson
Gaussian free fields for mathematicians
Scott Sheffield
Hausdorff dimension of the SLE curve intersected with the real line
Tom Alberts, Scott Sheffield
Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Scott Sheffield
Simple CLE in Doubly Connected Domains
Scott Sheffield, Samuel S. Watson, Hao Wu
Contour lines of the two-dimensional discrete Gaussian free field
Oded Schramm, Scott Sheffield
Absolute continuity of Brownian bridges under certain gauge transformations
Andrea R. Nahmod, Luc Rey-Bellet, Scott Sheffield +1
Ribbon Tilings and Multidimensional Height Functions
Scott Sheffield
Power law Polya's urn and fractional Brownian motion
Alan Hammond, Scott Sheffield
Tug-of-war and infinity Laplace equation with vanishing Neumann boundary condition
TonÄi AntunoviÄ, Yuval Peres, Scott Sheffield +1
Dimers and Amoebae
Richard Kenyon, Andrei Okounkov, Scott Sheffield
Duality and KPZ in Liouville Quantum Gravity
Bertrand Duplantier, Scott Sheffield
The six-vertex model and Schramm-Loewner evolution
Richard Kenyon, Jason Miller, Scott Sheffield +1
Random-Turn Hex and other selection games
Yuval Peres, Oded Schramm, Scott Sheffield +1
Vector-valued optimal Lipschitz extensions
Scott Sheffield, Charles K. Smart
Log-correlated Gaussian fields: an overview
Bertrand Duplantier, Rémi Rhodes, Scott Sheffield +1
A large-deviation theorem for tree-indexed Markov chains
Amir Dembo, Peter Morters, Scott Sheffield
A contour line of the continuum Gaussian free field
Oded Schramm, Scott Sheffield
Uniqueness of maximal entropy measure on essential spanning forests
Scott Sheffield
Conformal Loop Ensembles: The Markovian characterization and the loop-soup construction
Scott Sheffield, Wendelin Werner
The natural parametrization for the Schramm-Loewner evolution
Gregory F. Lawler, Scott Sheffield
Tug of war with noise: a game theoretic view of the p-Laplacian
Yuval Peres, Scott Sheffield
Logarithmic fluctuations for internal DLA
David Jerison, Lionel Levine, Scott Sheffield
Internal DLA and the Gaussian free field
David Jerison, Lionel Levine, Scott Sheffield