Percolation

Bernoulli percolation, critical exponents, and SLE connections.


frontier tier

Percolation. Bernoulli percolation, critical exponents, and SLE connections.

Foundations and canonical references

The standard treatments of percolation approach the subject from complementary angles. Grimmett, Percolation (1999) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for percolation include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 1999
    Percolation
    grimmett-1999

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