D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 38 Citations 6,383 198 World Ranking 1565 National Ranking 25
Engineering and Technology D-index 38 Citations 6,001 124 World Ranking 4204 National Ranking 32

Overview

What is he best known for?

The fields of study Itai Benjamini is best known for:

  • Random graph
  • Random walk
  • Percolation theory

Itai Benjamini connects relevant research areas such as Bounded function, Harmonic function, Ergodic theory and Tree (set theory) in the realm of Mathematical analysis. His study on Tree (set theory) is mostly dedicated to connecting different topics, such as Combinatorics. He incorporates Combinatorics and Geometry in his studies. While working on this project, Itai Benjamini studies both Geometry and Mathematical physics. Itai Benjamini regularly links together related areas like Invariant (physics) in his Mathematical physics studies. Vertex (graph theory), Cayley graph, Random graph, Planar graph and Chordal graph are the subject areas of his Graph study. His research on Cayley graph frequently links to adjacent areas such as Graph. His Discrete mathematics research extends to the thematically linked field of Chordal graph. Discrete mathematics and Vertex (graph theory) are frequently intertwined in his study.

His most cited work include:

  • Recurrence of Distributional Limits of Finite Planar Graphs (361 citations)
  • Group-invariant Percolation on Graphs (216 citations)
  • Percolation Beyond $Z^d$, Many Questions And a Few Answers (216 citations)

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

Itai Benjamini is exploring Graph as part of his Vertex (graph theory) and Random graph and Graph studies. Vertex (graph theory) and Graph are commonly linked in his work. Random walk is connected with Statistics and Random graph in his research. In his articles, he combines various disciplines, including Statistics and Random walk. He combines Combinatorics and Pure mathematics in his studies. He performs integrative study on Pure mathematics and Combinatorics. In his study, he carries out multidisciplinary Discrete mathematics and Geometry research. He conducted interdisciplinary study in his works that combined Geometry and Discrete mathematics. His research on Mathematical analysis frequently links to adjacent areas such as Bounded function.

Itai Benjamini most often published in these fields:

  • Combinatorics (85.22%)
  • Discrete mathematics (55.65%)
  • Mathematical analysis (50.43%)

What were the highlights of his more recent work (between 2012-2020)?

  • Combinatorics (93.75%)
  • Geometry (62.50%)
  • Discrete mathematics (62.50%)

In recent works Itai Benjamini was focusing on the following fields of study:

Itai Benjamini is investigating Graph as part of his inquiry into Vertex (graph theory), Random graph and Line graph. His research is interdisciplinary, bridging the disciplines of Graph and Vertex (graph theory). Line graph connects with themes related to Discrete mathematics in his study. He conducts interdisciplinary study in the fields of Discrete mathematics and Statistics through his research. Itai Benjamini integrates Statistics with Random walk in his study. In his study, Itai Benjamini carries out multidisciplinary Random walk and Random graph research. As part of his studies on Combinatorics, Itai Benjamini often connects relevant subjects like Transitive relation. Transitive relation is frequently linked to Combinatorics in his study. With his scientific publications, his incorporates both Geometry and Pure mathematics.

Between 2012 and 2020, his most popular works were:

  • Simple random walk on the uniform infinite planar quadrangulation: subdiffusivity via pioneer points (48 citations)
  • Coarse Geometry and Randomness (26 citations)
  • Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs (25 citations)

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

  • Random graph
  • Metric space
  • Random geometric graph

His Geometry study frequently draws connections to other fields, such as Spatial network. Spatial network and Geometry are frequently intertwined in his study. His Combinatorics study frequently draws connections between related disciplines such as Transitive relation. His research on Transitive relation frequently connects to adjacent areas such as Combinatorics. Itai Benjamini incorporates Statistics and Random walk in his studies. Itai Benjamini combines Random walk and Statistics in his research. His Epistemology research extends to the thematically linked field of Simple (philosophy). His Epistemology study frequently links to adjacent areas such as Simple (philosophy). His research on Graph often connects related topics like Indifference graph.

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

Recurrence of Distributional Limits of Finite Planar Graphs

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

674 Citations

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

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

355 Citations

Noise sensitivity of Boolean functions and applications to percolation

Itai Benjamini;Gil Kalai;Oded Schramm.
Publications Mathématiques de l'IHÉS (1999)

281 Citations

Every minor-closed property of sparse graphs is testable☆

Itai Benjamini;Itai Benjamini;Oded Schramm;Asaf Shapira.
Advances in Mathematics (2010)

266 Citations

Uniform spanning forests

Itai Benjamini;Russell Lyons;Yuval Peres;Oded Schramm.
Annals of Probability (2001)

256 Citations

Markov chains indexed by trees

Itai Benjamini;Yuval Peres.
Annals of Probability (1994)

250 Citations

Group-invariant Percolation on Graphs

I. Benjamini;R. Lyons;Y. Peres;O. Schramm.
Geometric and Functional Analysis (1999)

230 Citations

Percolation in the hyperbolic plane

Itai Benjamini;Oded Schramm.
Journal of the American Mathematical Society (2000)

207 Citations

Non-backtracking random walks mix faster

Noga Alon;Itai Benjamini;Eyal Lubetzky;Sasha Sodin.
Communications in Contemporary Mathematics (2007)

159 Citations

First Passage Percolation Has Sublinear Distance Variance

Itai Benjamini;Gil Kalai;Oded Schramm.
Annals of Probability (2003)

143 Citations

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