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Lectures on two-dimensional critical percolation

· 2007 · math.PR · arXiv 0710.0856

1 Pith paper cite this work. Polarity classification is still indexing.

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abstract

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

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math.PR 1

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2026 1

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Percolation on hierarchical lattices

math.PR · 2026-06-09 · unverdicted · novelty 5.0

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.

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  • Percolation on hierarchical lattices math.PR · 2026-06-09 · unverdicted · none · ref 45 · internal anchor

    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.