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 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.
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.
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.
Recurrence of Distributional Limits of Finite Planar Graphs
Itai Benjamini;Oded Schramm.
Electronic Journal of Probability (2001)
Percolation Beyond $Z^d$, Many Questions And a Few Answers
Itai Benjamini;Oded Schramm.
Electronic Communications in Probability (1996)
Noise sensitivity of Boolean functions and applications to percolation
Itai Benjamini;Gil Kalai;Oded Schramm.
Publications Mathématiques de l'IHÉS (1999)
Uniform spanning forests
Itai Benjamini;Russell Lyons;Yuval Peres;Oded Schramm.
Annals of Probability (2001)
Markov chains indexed by trees
Itai Benjamini;Yuval Peres.
Annals of Probability (1994)
Group-invariant Percolation on Graphs
I. Benjamini;R. Lyons;Y. Peres;O. Schramm.
Geometric and Functional Analysis (1999)
Percolation in the hyperbolic plane
Itai Benjamini;Oded Schramm.
Journal of the American Mathematical Society (2000)
Percolation on finite graphs and isoperimetric inequalities
Noga Alon;Itai Benjamini;Alan Stacey.
Annals of Probability (2004)
Non-backtracking random walks mix faster
Noga Alon;Itai Benjamini;Eyal Lubetzky;Sasha Sodin.
Communications in Contemporary Mathematics (2007)
First Passage Percolation Has Sublinear Distance Variance
Itai Benjamini;Gil Kalai;Oded Schramm.
Annals of Probability (2003)
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:
Microsoft (United States)
Cornell University
University of Pennsylvania
Indiana University
Tel Aviv University
Harvard University
MIT
Eötvös Loránd University
Hebrew University of Jerusalem
Monash University