D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 56 Citations 14,322 99 World Ranking 357 National Ranking 195

Research.com Recognitions

Awards & Achievements

2006 - George Pólya Prize

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Combinatorics

Oded Schramm mainly focuses on Combinatorics, Schramm–Loewner evolution, Discrete mathematics, Scaling limit and Mathematical analysis. His study in the field of Planar graph and Simply connected space also crosses realms of Domain. The study incorporates disciplines such as Percolation, Chordal graph and Mathematical physics in addition to Schramm–Loewner evolution.

His work in Discrete mathematics tackles topics such as Bounded function which are related to areas like Rooted graph and Class. His research in Scaling limit intersects with topics in Hausdorff dimension and Loop-erased random walk. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Directed percolation and Percolation critical exponents.

His most cited work include:

  • Scaling Limits of Loop-Erased Random Walks and Uniform Spanning Trees (1075 citations)
  • Conformal invariance of planar loop-erased random walks and uniform spanning trees (505 citations)
  • Basic properties of SLE (495 citations)

What are the main themes of his work throughout his whole career to date?

His main research concerns Combinatorics, Discrete mathematics, Percolation, Mathematical analysis and Bounded function. His Discrete mathematics research includes elements of Upper and lower bounds and Invariant. His Percolation research includes themes of Measure, Continuum percolation theory, Scaling limit and Hexagonal lattice.

Oded Schramm studies Scaling limit, focusing on Schramm–Loewner evolution in particular. The Schramm–Loewner evolution study combines topics in areas such as Grid and Chordal graph. His work in the fields of Mathematical analysis, such as Hausdorff dimension and Riemann surface, intersects with other areas such as Contour line and Gaussian free field.

He most often published in these fields:

  • Combinatorics (59.75%)
  • Discrete mathematics (31.45%)
  • Percolation (19.50%)

What were the highlights of his more recent work (between 2009-2018)?

  • Combinatorics (59.75%)
  • Percolation (19.50%)
  • Discrete mathematics (31.45%)

In recent papers he was focusing on the following fields of study:

Oded Schramm focuses on Combinatorics, Percolation, Discrete mathematics, Scaling limit and Percolation critical exponents. His Combinatorics study incorporates themes from Bounded function and Permutation group. Oded Schramm has researched Percolation in several fields, including Measure, Square tiling and Hexagonal lattice.

Oded Schramm focuses mostly in the field of Discrete mathematics, narrowing it down to matters related to Complex plane and, in some cases, Plane, Spanning tree, Minimum spanning tree and Tree. His Scaling limit study is concerned with the larger field of Scaling. Oded Schramm interconnects Mathematical analysis and Percolation theory in the investigation of issues within Percolation critical exponents.

Between 2009 and 2018, his most popular works were:

  • A contour line of the continuum Gaussian free field (108 citations)
  • Quantitative noise sensitivity and exceptional times for percolation (107 citations)
  • The Fourier spectrum of critical percolation (76 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Combinatorics

His primary areas of investigation include Combinatorics, Continuum percolation theory, Percolation critical exponents, Percolation and Scaling limit. His work on Hausdorff dimension and Conjecture as part of general Combinatorics research is frequently linked to Coalescence, bridging the gap between disciplines. His Hausdorff dimension research incorporates elements of Randomized algorithm, Disjoint sets, Critical exponent, Almost surely and Upper and lower bounds.

His work carried out in the field of Continuum percolation theory brings together such families of science as Measure and Mathematical analysis. His research integrates issues of Dimension, Fourier transform, Square and Square tiling in his study of Percolation. Scaling limit is the subject of his research, which falls under Scaling.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Scaling Limits of Loop-Erased Random Walks and Uniform Spanning Trees

Oded Schramm.
Israel Journal of Mathematics (2000)

1722 Citations

Conformal invariance of planar loop-erased random walks and uniform spanning trees

Gregory F. Lawler;Oded Schramm;Wendelin Werner.
Annals of Probability (2004)

755 Citations

Basic properties of SLE

Steffen Rohde;Oded Schramm.
Annals of Mathematics (2005)

725 Citations

Recurrence of Distributional Limits of Finite Planar Graphs

Itai Benjamini;Oded Schramm.
Electronic Journal of Probability (2001)

633 Citations

Values of Brownian intersection exponents I: Half-plane exponents

Gregory F. Lawler;Oded Schramm;Oded Schramm;Wendelin Werner.
Acta Mathematica (2001)

624 Citations

Embeddings of Gromov Hyperbolic Spaces

M. Bonk;O. Schramm.
Geometric and Functional Analysis (2000)

477 Citations

Conformal restriction: The chordal case

Gregory Lawler;Oded Schramm;Wendelin Werner.
Journal of the American Mathematical Society (2003)

462 Citations

Tug-of-war and the infinity Laplacian

Yuval Peres;Yuval Peres;Oded Schramm;Scott Sheffield;Scott Sheffield;Scott Sheffield;David B. Wilson.
Journal of the American Mathematical Society (2008)

365 Citations

Percolation Beyond $Z^d$, Many Questions And a Few Answers

Itai Benjamini;Oded Schramm.
Electronic Communications in Probability (1996)

354 Citations

One-Arm Exponent for Critical 2D Percolation

Gregory F. Lawler;Oded Schramm;Wendelin Werner.
Electronic Journal of Probability (2002)

280 Citations

Best Scientists Citing Oded Schramm

Itai Benjamini

Itai Benjamini

Weizmann Institute of Science

Publications: 77

Scott Sheffield

Scott Sheffield

MIT

Publications: 61

Gregory F. Lawler

Gregory F. Lawler

University of Chicago

Publications: 56

Wendelin Werner

Wendelin Werner

ETH Zurich

Publications: 47

Russell Lyons

Russell Lyons

Indiana University

Publications: 45

Assaf Naor

Assaf Naor

Princeton University

Publications: 40

Julio D. Rossi

Julio D. Rossi

University of Buenos Aires

Publications: 36

Charles M. Newman

Charles M. Newman

Courant Institute of Mathematical Sciences

Publications: 32

Elchanan Mossel

Elchanan Mossel

MIT

Publications: 32

Geoffrey Grimmett

Geoffrey Grimmett

University of Cambridge

Publications: 31

Rocco A. Servedio

Rocco A. Servedio

Columbia University

Publications: 24

Gil Kalai

Gil Kalai

Hebrew University of Jerusalem

Publications: 23

Ryan O'Donnell

Ryan O'Donnell

Carnegie Mellon University

Publications: 23

Alexander I. Bobenko

Alexander I. Bobenko

Technical University of Berlin

Publications: 22

László Lovász

László Lovász

Eötvös Loránd University

Publications: 22

James R. Lee

James R. Lee

University of Washington

Publications: 21

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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