The canonical paths comparison theorem compares two reversible chains by routing every transition of one chain along a path of transitions of the other. The maximum capacity-normalized path congestion bounds the ratio of their Dirichlet forms and hence their spectral gaps.

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  1. Dirichlet form of a Markov chain
  2. Reversible Markov chain
  3. Markov chain
  4. Markov process
  5. Probability theory
  6. Probability and statistics
  7. Area of mathematics
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