Coarse Geometry and Randomness Itai Benjamini October 30, 2013 Contents 1 Introductory graph and metric notions

Source URL: www.wisdom.weizmann.ac.il

• Graph theory
• Dimension
• Isoperimetric dimension
• Mathematical analysis
• Cheeger constant
• Planar graph
• Vertex-transitive graph
• Expander graph
• Graph
• Connectivity
• Regular graph
• End

On the scaling limit of finite vertex transitive graphs with large diameter Itai Benjamini Romain Tessera∗

Source URL: www.normalesup.org

• Geometry
• Mathematics
• Graph theory
• Metric geometry
• Geometric group theory
• Group theory
• Permutation groups
• Topology
• Quasi-isometry
• GromovHausdorff convergence
• Vertex-transitive graph
• Group action

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.

Source URL: www.normalesup.org

• Geometry
• Mathematics
• Space
• Metric geometry
• Hyperbolic geometry
• Geometric group theory
• -hyperbolic space
• Hyperbolic group
• Geodesic
• Differential geometry of surfaces
• Busemann function
• Hyperbolic metric space

Uniformization and percolation Itai Benjamini October 2015 Conformal maps

Source URL: www.wisdom.weizmann.ac.il

• Geometry
• Space
• Mathematics
• Riemann surfaces
• Bernhard Riemann
• Geometric topology
• Riemannian geometry
• Uniformization theorem
• Conformal map
• Differential geometry of surfaces
• Conformal geometry
• Unit disk

Improved Generic Attacks Against Hash-based MACs and HAIFA? Itai Dinur1 and Ga¨etan Leurent2 1 ´

Source URL: who.rocq.inria.fr

• Cryptography
• Cryptographic hash functions
• Error detection and correction
• Hashing
• Message authentication codes
• HMAC
• Hash function
• SHA-2
• Preimage attack
• SHA-1
• Streebog
• SHA-3

RANDOM PLANAR METRICS ITAI BENJAMINI Abstract. A discussion regarding aspects of several quite different random planar metrics and related topics is presented. 1. Introduction

Source URL: www.wisdom.weizmann.ac.il

• 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

Euclidean vs. Graph Metric Itai Benjamini

Source URL: www.wisdom.weizmann.ac.il

• Graph theory
• Algebraic graph theory
• Planar graphs
• Vertex-transitive graph
• Symmetric graph
• End
• Graph
• Planar separator theorem
• Gabriel graph

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

Source URL: www.wisdom.weizmann.ac.il

• Geometry
• Mathematics
• Riemann surfaces
• Mathematical analysis
• Bernhard Riemann
• Symmetry
• Conformal field theory
• Uniformization theorem
• Oded Schramm
• Conformal geometry
• Hyperbolic geometry
• Conformal map

Efficient FPGA implementations of high-dimensional cube testers on the stream cipher Grain-128 Jean-Philippe Aumasson Itai Dinur Luca Henzen Willi Meier Adi Shamir

Source URL: www.hyperelliptic.org

• Cryptography
• Stream ciphers
• Grain
• Cube attack
• Trivium
• ESTREAM
• Linear-feedback shift register
• ARIA
• Lookup table

Opinion Plant domestication versus crop evolution: a conceptual framework for cereals and grain legumes Shahal Abbo1*, Ruth Pinhasi van-Oss1, Avi Gopher2, Yehoshua Saranga1, Itai Ofner1,

Source URL: departments.agri.huji.ac.il