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

A minicourse on first-passage percolation Harry Kesten First-passage percolation is a probabilistic model for the spread of a disease. In the simplest version one assigns a random passage time t(e) to each edge e of Zd .

Source URL: www.eurandom.nl

A minicourse on first-passage percolation Harry Kesten First-passage percolation is a probabilistic model for the spread of a disease. In the simplest version one assigns a random passage time t(e) to each edge e of Zd .

Source URL: www.eurandom.tue.nl

• Stochastic processes
• Lattice models
• Probability theory