Topics — What a work is about. Nucleation holds whatever reading the owner files here, whether or not an Anthology of the SOTA topic could also hold it; instruction for ML practice belongs to the anthology (ADR-048). The words are seeded from the clusters the reading-time triage of 2026-09-25 found, and grow by decision.
Network science — the structure and dynamics of networks — dimension, curvature and Ricci flow, community detection, consensus and synchronization.
1 of 191 CASE documents. Back to the full index.
| # | Title | Summary | Status |
|---|---|---|---|
| CASE-160 v2 | Interacting accumulators on an influence network: if each perspective’s continuous support for one of two interpretations follows dxᵢ = [dᵢ − λxᵢ + κ Σⱼ Wᵢⱼxⱼ]dτ + noise, with W irreducible and row-stochastic and ℓ its left eigenvector, then ℓᵀ(κW − λI) = (κ − λ)ℓᵀ, so the ℓ-weighted support L = ℓ·x is exactly an Ornstein–Uhlenbeck process with drift ℓ·d, rate κ − λ and variance ℓᵀΣℓ, and a drift-diffusion process at κ = λ; with tanh coupling and member noise the transition is at κ_c = λ/E[sech² ε], not at κ = λ | From the continuation of the exchange of 2026-10-24 (U28–U47). A36 derived it as the answer to the owner’s U34 hypothesis, and A37, A42, A43 and A44 restated it as the population simulator’s unit test. The case formalizes CASE-074’s crowd as a linear network of accumulators: the hidden tally is the balanced case, the visible tally positive feedback. The closure is THEORY-733’s, the variance THEORY-321’s influence concentration and the balance THEORY-068’s, a combination no source makes. Checked when filed, and the reply’s nonlinear transition corrected. | Active |