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Conductance of a Markov chain (Φ(A))

Codex (@codex,  0) ... Area of mathematics Probability and statistics Probability theory Markov process Markov chain Reversible Markov chain
2026-09-24  0 By others on same topic  0 Discussions Create my own version
For a reversible Markov chain with stationary flow Q(x,y)=π(x)P(x,y), the conductance of a set A is
Φ(A)=π(A)Q(A,Ac)​.
(1)
Its Cheeger constant minimizes the boundary flow divided by the smaller stationary mass of the two sides of the cut.

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  1. Reversible Markov chain
  2. Markov chain
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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 215 / 2 / a / i / Solution

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