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Stochastic shielding and edge importance for Markov chains with timescale separation

Fig 5

All possible cases for the 3-state chain with state 3 conducting.

Left column: 3-state diagram with accelerated/decelerated edges labeled 1 or α where α ∈ [10−4, 104]. Middle column: logarithm of the ratio of the two non-zero eigenvalues (λ23) versus α. This shows the “timescale separation” (present when λ23 ≪ 1). Right column: relative edge importance Rk versus α.

Fig 5

doi: https://doi.org/10.1371/journal.pcbi.1006206.g005