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Itai Benjamini
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1	Coarse Geometry and Randomness Itai Benjamini October 30, 2013 Contents 1 Introductory graph and metric notions Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2013-10-31 04:13:56 Graph theory Dimension Isoperimetric dimension Mathematical analysis Cheeger constant Planar graph Vertex-transitive graph Expander graph Graph Connectivity Regular graph End
2	On the scaling limit of finite vertex transitive graphs with large diameter Itai Benjamini Romain Tessera∗ Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2015-12-08 04:42:27 Geometry Mathematics Graph theory Metric geometry Geometric group theory Group theory Permutation groups Topology Quasi-isometry GromovHausdorff convergence Vertex-transitive graph Group action
3	FIRST PASSAGE PERCOLATION ON A HYPERBOLIC GRAPH ADMITS BI-INFINITE GEODESICS ITAI BENJAMINI AND ROMAIN TESSERA Abstract. Given an infinite connected graph, a way to randomly perturb its metric is to assign random i.i.d. Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2015-12-08 04:38:11 Geometry Mathematics Space Metric geometry Hyperbolic geometry Geometric group theory -hyperbolic space Hyperbolic group Geodesic Differential geometry of surfaces Busemann function Hyperbolic metric space
4	Uniformization and percolation Itai Benjamini October 2015 Conformal maps Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2015-09-29 04:31:44 Geometry Space Mathematics Riemann surfaces Bernhard Riemann Geometric topology Riemannian geometry Uniformization theorem Conformal map Differential geometry of surfaces Conformal geometry Unit disk
5	RANDOM PLANAR METRICS ITAI BENJAMINI Abstract. A discussion regarding aspects of several quite different random planar metrics and related topics is presented. 1. Introduction Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2009-10-29 03:44:36 Graph theory Mathematics Discrete mathematics Stochastic processes Planar graphs Gaussian free field Oded Schramm Random graph Random walk Itai Benjamini Circle packing theorem First passage percolation
6	Euclidean vs. Graph Metric Itai Benjamini Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2014-05-08 03:01:23 Graph theory Algebraic graph theory Planar graphs Vertex-transitive graph Symmetric graph End Graph Planar separator theorem Gabriel graph
7	PERCOLATION AND COARSE CONFORMAL UNIFORMIZATION ITAI BENJAMINI Abstract. We formulate conjectures regarding percolation on planar triangulations suggested by assuming (quasi) invariance under coarse conformal uniformizat Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2015-10-25 07:28:39 Geometry Mathematics Riemann surfaces Mathematical analysis Bernhard Riemann Symmetry Conformal field theory Uniformization theorem Oded Schramm Conformal geometry Hyperbolic geometry Conformal map
8	On K-wise Independent Distributions, Boolean Functions and Percolation Ron Peled joint work with Itai Benjamini Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2007-08-27 15:20:54
9	RANDOM WALKS WITH -WISE INDEPENDENT INCREMENTS ITAI BENJAMINI, GADY KOZMA, AND DAN ROMIK A BSTRACT . We construct examples of a random walk with pairwise indeand a pendent steps which is almost-surely bounded, and for an Add to Reading List Source URL: www.math.ucdavis.edu - Date: 2014-02-10 20:43:58
10	WAITING FOR A BAT TO FLY BY (IN POLYNOMIAL TIME) ´ ´ LOVASZ, ´ ´ ITAI BENJAMINI, GADY KOZMA, LASZL Add to Reading List Source URL: www.math.ucdavis.edu - Date: 2014-02-10 20:44:01