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.

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• 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

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

Mobile Geometric Graphs: Detection, Coverage and Percolation Yuval Peres∗ Alistair Sinclair† Perla Sousi‡

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Percolation and Random Walks on Graphs, MichaelmasExample Sheet 2 1. Let R(r) be the effective resistance between two given vertices of a finite network with

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Prime Percolation Ilan Vardi CONTENTS 1. 2.

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Finite Models for Percolation† R. P. Langlands School of Mathematics Institute for Advanced Study Princeton, NJ 08540

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Percolation and Random Walks on Graphs, MichaelmasExample Sheet 1 1. Let (an )n≥1 be a sequence of real numbers satisfying an+m ≤ an + am for all n, m ≥ 1.

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Percolation and Random walks on graphs Perla Sousi∗ January 2, 2018 Contents 1 Percolation

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Core Percolation in Coupled Networks Jiayu Pan1 , Yuhang Yao2 , Luoyi Fu2 , Xinbing Wang2 Department of {Zhiyuan College1 , Computer Science2 ,}, Shanghai Jiao Tong University, China ABSTRACT Core percolation, as a funda

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