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arxiv: 0710.0856 · v3 · pith:ID57PCWPnew · submitted 2007-10-03 · 🧮 math.PR

Lectures on two-dimensional critical percolation

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These are the notes corresponding to the course given at the IAS-Park City graduate summer school in July 2007.

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    Proves unique phase transition and critical exponents for percolation on hierarchical lattices, with results on the infinite limit graph, noise sensitivity, and a fixed-point condition for monotone Boolean functions.