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

Quantitative property A, Poincar´e inequalities, Lp-compression and Lp-distortion for metric measure spaces. Romain Tessera September 1, 2008 Abstract

Source URL: www.normalesup.org

• Geometry
• Mathematics
• Space
• Metric geometry
• Banach space
• Metric space
• Quasi-isometry
• Embedding
• Metric
• Doubling space
• Tight span
• Hyperbolic metric space

Metric sparsification and operator norm localization Xiaoman Chen, Romain Tessera, Xianjin Wang, Guoliang Yu November 13, 2007 Abstract We study an operator norm localization property and its applications

Source URL: www.normalesup.org

• Mathematics
• Mathematical analysis
• Algebra
• Field theory
• Measure theory
• Commutative algebra
• Localization
• Valuation ring
• Metric space
• Ergodic flow
• Abelian von Neumann algebra

BOPS, Not FLOPS! A New Metric, Measuring Tool, and Roofline Performance Model For Datacenter Computing Chen Zheng ICT，CAS

Source URL: prof.ict.ac.cn

• FLOPS
• Floating point
• Computing
• Roofline model
• Speedup
• Xeon
• Computer programming
• Parallel computing
• Software engineering

Collaborative Metric Learning Cheng-Kang Hsieh‡ , Longqi Yang† ,Yin Cui† , Tsung-Yi Lin† , Serge Belongie† , Deborah Estrin† ‡ ‡ UCLA; † Cornell Tech

Source URL: www.cs.cornell.edu

FINITE DECOMPOSITION COMPLEXITY AND THE INTEGRAL NOVIKOV CONJECTURE FOR HIGHER ALGEBRAIC K–THEORY (DRAFT) DANIEL A. RAMRAS, ROMAIN TESSERA, AND GUOLIANG YU Abstract. Decomposition complexity for metric spaces was recen

Source URL: www.normalesup.org

• Abstract algebra
• Algebra
• Mathematics
• Algebraic topology
• Algebraic geometry
• Category theory
• Sheaf
• Nerve
• Fundamental group
• Universal property
• Homological algebra
• Algebraic geometry and analytic geometry

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

ASYMPTOTIC ISOPERIMETRY OF BALLS IN METRIC MEASURE SPACES ROMAIN TESSERA Abstract. In this paper, we study the asymptotic behavior of the volume of spheres in metric measure spaces. We first introduce a general setting a

Source URL: www.normalesup.org

• Geometry
• Space
• Metric geometry
• Mathematics
• Metric space
• Quasi-isometry
• Isoperimetric inequality
• Uniform space
• Metric
• Geometric group theory
• Complete metric space
• Hyperbolic metric space

Calculus, heat flow and curvature-dimension bounds in metric measure spaces Luigi Ambrosio (Scuola Normale Superiore, Pisa, Italy) March 3,

Source URL: eta.impa.br

• Mathematical analysis
• Mathematics
• Analysis
• Metric geometry
• Differential topology
• Measure theory
• Vector calculus
• Vector field
• Transportation theory
• Riemannian manifold
• Lipschitz continuity
• Metric space

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