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Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 215 / 2 / b / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2022 iii Paper 215 2 b
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The worst-case distance to stationarity is
d(t)=maxσ​∥Pt(σ,⋅)−πβ​∥TV​.
(1)
The Path coupling theorem says that if a coupling contracts an integer-valued path metric by a factor α<1 for every adjacent pair, then
d(t)≤diam(Ω)αt.
(2)

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