Scott Sheffield

Mathematical Physics · 2003–2016

A researcher in the Science corpus: 22 papers; trusts 49 researchers and is trusted by 62 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 211 citations into it; #213 of 8,562 by trust here, #136 by citations
• Condensed Matter Physics — 107 citations into it; #65 of 1,948 by trust here, #320 by citations
• Statistics and Probability — 95 citations into it; #8,274 of 12,932 by trust here, #6,552 by citations
• Applied Mathematics — 64 citations into it; #552 of 7,620 by trust here, #546 by citations
• Geometry and Topology — 56 citations into it; #1,558 of 7,422 by trust here, #1,249 by citations
• Computational Theory and Mathematics — 33 citations into it; #1,360 of 12,182 by trust here, #3,796 by citations
• Discrete Mathematics and Combinatorics — 26 citations into it
• Statistical and Nonlinear Physics — 23 citations into it; #879 of 10,127 by trust here, #2,780 by citations

Whom Scott Sheffield trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Oded Schramm
2. Stanislav Smirnov
3. Julien Dubédat
4. Gregory F. Lawler
5. Steffen Rohde
6. Bertrand Duplantier
7. Wendelin Werner
8. Jason Miller
9. Richard Kenyon
10. Elliott H. Lieb

Who trusts Scott Sheffield overall

1. Jason Miller
2. Bertrand Duplantier
3. Oded Schramm
4. Julien Dubédat
5. Jean-François Le Gall
6. Rémi Rhodes
7. Nikos Katzourakis
8. Eero Saksman
9. Juan J. Manfredi
10. Nathanaël Berestycki

Papers from Scott Sheffield's perspective

Ordered by how strongly the researchers Scott Sheffield trusts endorse each paper. Same corpus, a different order for every researcher.

1. Basic properties of SLE
2. Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
3. CRITICAL EXPONENTS FOR TWO-DIMENSIONAL PERCOLATION
4. A Percolation Formula
5. The dimension of the SLE curves
6. The dimension of the planar Brownian frontier is 4/3
7. Conformally Invariant Processes in the Plane
8. Conformal restriction: The chordal case
9. Gaussian free fields for mathematicians
10. Two-Dimensional Critical Percolation: The Full Scaling Limit

Their papers

• Critical Gaussian multiplicative chaos: Convergence of the derivative martingale (2012) — 166 citations
• Tug-of-war with noise: A game-theoretic view of the $p$-Laplacian (2006) — 267 citations
• Exploration trees and conformal loop ensembles (2006) — 258 citations
• Harmonic explorer and its convergence to SLE4 (2003) — 144 citations
• Quantum Loewner Evolution (2013) — 144 citations
• Vector‐valued optimal Lipschitz extensions (2010) — 65 citations
• Imaginary geometry III: reversibility of \SLE_\kappa for \kappa \in (4,8) (2016) — 53 citations
• Imaginary geometry II: Reversibility of SLEκ(ρ1;ρ2) for κ∈(0,4). (2016) — 132 citations
• Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding (2016) — 133 citations
• Liouville quantum gravity as a mating of trees (2014) — 239 citations
• Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees (2013) — 200 citations
• Imaginary geometry I: interacting SLEs (2012) — 282 citations
• Absolute Continuity of Brownian Bridges Under Certain Gauge Transformations (2011) — 54 citations
• Conformal weldings of random surfaces: SLE and the quantum gravity zipper (2010) — 301 citations
• A contour line of the continuum Gaussian free field (2010) — 205 citations
• Conformal loop ensembles: the Markovian characterization and the loop-soup construction (2010) — 255 citations
• Liouville quantum gravity and KPZ (2008) — 529 citations
• Contour lines of the two-dimensional discrete Gaussian free field (2006) — 325 citations
• Tug-of-war and the infinity Laplacian (2006) — 475 citations
• Markov chains in smooth Banach spaces and Gromov hyperbolic metric spaces (2004) — 124 citations