H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 39 Citations 6,638 158 World Ranking 1109 National Ranking 21
Engineering and Technology D-index 34 Citations 5,652 119 World Ranking 3754 National Ranking 32

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Combinatorics
  • Geometry

Itai Benjamini mainly investigates Combinatorics, Discrete mathematics, Percolation, Cayley graph and Planar graph. His research in Combinatorics intersects with topics in Bounded function and Spectral radius. His research in the fields of Random graph overlaps with other disciplines such as Probability theory.

His Percolation research integrates issues from Event, Statistical physics and Boolean function. His work deals with themes such as Vertex-transitive graph and Unimodular matrix, which intersect with Cayley graph. He has researched Planar graph in several fields, including Harmonic function, Circle packing theorem, Planar straight-line graph and Book embedding.

His most cited work include:

  • Recurrence of Distributional Limits of Finite Planar Graphs (410 citations)
  • Noise sensitivity of Boolean functions and applications to percolation (235 citations)
  • Percolation Beyond $Z^d$, Many Questions And a Few Answers (231 citations)

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

His primary areas of study are Combinatorics, Discrete mathematics, Graph, Mathematical analysis and Bounded function. His Combinatorics and Vertex, Random graph, Almost surely, Percolation and Planar graph investigations all form part of his Combinatorics research activities. The Cayley graph, Loop-erased random walk and Vertex-transitive graph research Itai Benjamini does as part of his general Discrete mathematics study is frequently linked to other disciplines of science, such as Continuum percolation theory, therefore creating a link between diverse domains of science.

Within one scientific family, Itai Benjamini focuses on topics pertaining to Unimodular matrix under Cayley graph, and may sometimes address concerns connected to Invariant. His Graph study combines topics from a wide range of disciplines, such as Upper and lower bounds, Isoperimetric inequality and Conjecture. The study incorporates disciplines such as First passage percolation and Degree in addition to Bounded function.

He most often published in these fields:

  • Combinatorics (69.46%)
  • Discrete mathematics (39.26%)
  • Graph (15.10%)

What were the highlights of his more recent work (between 2015-2021)?

  • Combinatorics (69.46%)
  • Discrete mathematics (39.26%)
  • Vertex (10.07%)

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

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Vertex, Bounded function and Degree. His Combinatorics research incorporates themes from Measure, Boundary and Torus. The concepts of his Discrete mathematics study are interwoven with issues in Structure, Percolation, Self-avoiding walk, Upper and lower bounds and Lipschitz continuity.

His Critical probability study, which is part of a larger body of work in Percolation, is frequently linked to Uniformization, bridging the gap between disciplines. His Vertex study also includes fields such as

  • Transitive relation together with Subsequence, Hausdorff distance and Exponential growth,

  • Constant factor together with Path and Giant component,

  • Particle which connect with Harmonic measure and Mathematical analysis. His research on Bounded function also deals with topics like

  • Existential quantification together with Geodesic, Connectivity and First passage percolation,

  • Unimodular matrix which connect with Line segment, Mesoscopic physics, Ball, Euclidean geometry and Planar graph.

Between 2015 and 2021, his most popular works were:

  • Convergence, unanimity and disagreement in majority dynamics on unimodular graphs and random graphs (18 citations)
  • ON THE STRUCTURE OF GRAPHS WHICH ARE LOCALLY INDISTINGUISHABLE FROM A LATTICE (9 citations)
  • An Isoperimetric Inequality for Planar Triangulations (8 citations)

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

  • Mathematical analysis
  • Combinatorics
  • Geometry

His primary scientific interests are in Combinatorics, Vertex, Discrete mathematics, Upper and lower bounds and Planar. The various areas that Itai Benjamini examines in his Combinatorics study include Bounded function, Invariant and Torus. His study looks at the relationship between Bounded function and fields such as Embedding, as well as how they intersect with chemical problems.

His Torus research is multidisciplinary, relying on both Subsequence and Hausdorff distance. Cayley graph is the focus of his Discrete mathematics research. In the field of Graph, his study on Vertex overlaps with subjects such as Epidemic model and Order.

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)

633 Citations

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

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

354 Citations

Noise sensitivity of Boolean functions and applications to percolation

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

268 Citations

Uniform spanning forests

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

230 Citations

Markov chains indexed by trees

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

228 Citations

Group-invariant Percolation on Graphs

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

213 Citations

Percolation in the hyperbolic plane

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

198 Citations

Percolation on finite graphs and isoperimetric inequalities

Noga Alon;Itai Benjamini;Alan Stacey.
Annals of Probability (2004)

183 Citations

Non-backtracking random walks mix faster

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

145 Citations

First Passage Percolation Has Sublinear Distance Variance

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

142 Citations

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