[DSRP Evidence](https://dsrpevidence.org/)

# Functional percolation: criticality of form and function

Wilkerson, 2026, Journal of Complex Networks — Network Science

Patterns: [Distinctions](https://dsrpevidence.org/pattern/distinctions), [Systems](https://dsrpevidence.org/pattern/systems), [Relationships](https://dsrpevidence.org/pattern/relationships)

## In short

A whole-network structural transition (percolation threshold) creates a sharp boundary that simultaneously reorganizes the functional relationships and information flows the system can support, tying a distinction, a systems property, and relationships to one event.

## What they found (results)

In Erdős–Rényi networks, emergence of the giant connected component coincides with a sharp jump in realizable input-output functions, rising output entropy, and transfer-entropy-based information flow extending beyond local neighborhoods, with a Pareto-optimal tradeoff between functional complexity and diversity near criticality.

These researchers were not testing DSRP. The finding is theirs; the correspondence to DSRP is drawn by this site.

[Source](https://doi.org/10.1093/comnet/cnag030)