Stochastic shielding and edge importance for Markov chains with timescale separation
Fig 6
All possible cases for the 3-state chain with middle state 2 conducting.
In this case there are no hidden transitions, and hence no stochastic shielding effect. Left column: 3-state diagram with accelerated/decelerated edges labeled as 1 or α where α ∈ [10−4, 104]. Middle column: logarithm of ratio of the two non-zero eigenvalues (λ2/λ3) versus α. This shows the timescale separation (present when λ2/λ3 ≪ 1). Right column: relative edge importance Rk versus α.