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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	Zero-Knowledge Protocols for Search Problems Ben Berger Zvika Brakerski Weizmann Institute of Science, Israel∗ Abstract Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2018-05-14 10:13:17 Complexity classes Cryptography Computational complexity theory Computing Interactive proof system Zero-knowledge proof NP IP Soundness Proof of secure erasure Certificate Zero knowledge
3	Four Round Secure Computation without Setup Zvika Brakerski1,? and Shai Halevi2,?? and Antigoni Polychroniadou3,? ? ? 1 Weizmann Institute of Science Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2018-03-10 16:45:59 Cryptography Public-key cryptography Secure multi-party computation Commitment scheme Homomorphic encryption Cryptographic protocol RSA Ciphertext indistinguishability Encryption Chosen-ciphertext attack Block cipher
4	Order-LWE and the Hardness of Ring-LWE with Entropic Secrets Zvika Brakerski Renen Perlman Weizmann Institute of Science∗ Abstract Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2018-05-21 15:18:19 Cryptography Post-quantum cryptography Lattice-based cryptography Computational hardness assumptions Lie groups Ring learning with errors Learning with errors Lattice Homomorphic encryption Order Entropy Ring learning with errors key exchange
5	A 1’st order phase transition via property T May 2007 A model proposed by Gromov [1] in 1992 consists in picking uniformly and independently 3n d realtors among the 3n possible reduced words of length n on the generato Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2007-10-07 03:04:11 Geometry Mathematics Geometric group theory Group theory Kazhdan's property Random group Collapsing manifold Isoperimetric inequality Isoperimetric dimension Hyperbolic metric space
6	Obfuscating Conjunctions under Entropic Ring LWE∗ Zvika Brakerski† Weizmann Vinod Vaikuntanathan‡ MIT Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2016-10-15 03:11:16 Cryptography Post-quantum cryptography Lattice-based cryptography Ring learning with errors Learning with errors Obfuscation Lattice
7	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
8	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
9	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
10	1 POINTS IN EQUILIBRIUM Given locally finite configuration of points on the real line R, define a potential F (x, y) to be the force between two points x, y, for example Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2015-06-22 05:45:21 Geometry Mathematics Space Geometric group theory Metric geometry Approximate group Group theory Metric space