Fig. 4. Hierarchical signature of different brain states.

We constructed a measure of hierarchy by estimating the variability of the non-equilibrium/non-reversibility of different brain states across space. For each condition, the row shows example renderings of the electrode-level non-equilibrium/non-reversibility for the two non-human primates (George and Chibi) who participated in all experimental conditions. The smaller inserts show how the level of reversibility is associated with the causal driving of the incoming ${\mathrm{FC}}_{\mathrm{in}}\left(\mathrm{\tau }\right)$ and outgoing ${\mathrm{FC}}_{\mathrm{out}}\left(\mathrm{\tau }\right)$ information captured by the shifted correlation (see Fig. 1 and Methods). The column shows the significant group-level results for the hierarchy of the inside out balance of intrinsic and extrinsic balance for all non-human primates with all sessions belonging to the specific brain state (Wilcoxon rank-sum, p < 0.001).