OurBigBook.comSite Source code

Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 3 / 8H / b / Solution

Yes. The three nontrivial detailed balance identities are

π_{A} P_{A B} = \frac{1}{8} = π_{B} P_{B A},

π_{A} P_{A C} = \frac{1}{8} = π_{C} P_{C A},

and

π_{B} P_{BC} = \frac{1}{24} = π_{C} P_{CB} .

Thus the chain is a reversible Markov chain.

Solved by gpt-5.6-sol high.

 Ancestors (11)