| Infinitely many transients | statement | theorem 1.6 | arxiv |
| The selected branch of \(w_\alpha(z)\) off the support | statement | proposition 3.5 | arxiv |
| Endpoint limits of the supports | statement | theorem 4.5 | arxiv |
| Uniform convergence of finite prefixes to the full shadow | statement | theorem 5.11 | arxiv |
| Equal height without contour contribution | example | example B.1 | arxiv |
| A ray outside the limiting core and three connecting saddles | statement | proposition 6.2 | arxiv |
| The threshold root stays in the support | statement | lemma 3.7 | arxiv |
| Small-order coefficients | statement | lemma 4.1 | arxiv |
| A harmonic barrier has a one-saddle separating contour | statement | lemma 2.9 | arxiv |
| The pooled limit | statement | theorem 5.1 | arxiv |
| 65NJJ747HM | statement | theorem C.1 | arxiv |
| Infinite topology of the full shadow | statement | corollary 6.5 | arxiv |
| A barrier contour through all connecting saddles | statement | lemma 2.6 | arxiv |
| Hausdorff continuity and uniform convergence | statement | corollary 5.4 | arxiv |
| Failure of natural-order nesting | statement | proposition 6.3 | arxiv |
| Boundary cycle of a full finite-graph continuum | statement | lemma 2.4 | arxiv |
| Continuity of the barrier | statement | lemma 2.2 | arxiv |
| Joint weak continuity and uniformity | statement | lemma 3.6 | arxiv |
| The fixed-ratio limit | statement | theorem 3.3 | arxiv |
| The maximum over connecting saddles | statement | lemma 2.7 | arxiv |
| The perfect kernel of the full shadow | statement | corollary 5.13 | arxiv |
| Fixed-ratio convergence | statement | theorem 1.1 | arxiv |
| Separation and the min--max formula | statement | lemma 2.1 | arxiv |
| Fixed-ratio Hausdorff convergence | statement | theorem 3.9 | arxiv |
| Compactness of logarithmic potentials | statement | lemma 3.2 | arxiv |
| Three-saddle interference and infinite transients | statement | theorem 6.4 | arxiv |
| Exact cluster counts for sublinear orders | statement | theorem 4.3 | arxiv |
| N22N5YDEJ5 | statement | theorem 1.4 | arxiv |
| Regular observation points | statement | lemma 2.8 | arxiv |
| Connectedness and distinguished points of the core | statement | theorem 5.6 | arxiv |
| The fixed-ratio atoms | statement | proposition 3.4 | arxiv |
| Decomposition of the full shadow | statement | theorem 5.7 | arxiv |
| Endpoint exclusion | statement | theorem 4.2 | arxiv |
| Uniform one-saddle asymptotic | statement | proposition 3.1 | arxiv |
| All orders and coefficient stability | statement | theorem 1.3 | arxiv |
| Covariance and power invariance | statement | proposition 5.2 | arxiv |
| The three equality points | statement | lemma 6.1 | arxiv |
| Hausdorff convergence over all orders | statement | theorem 5.3 | arxiv |
| Accumulation points of all finite zeros | statement | corollary 5.12 | arxiv |
| First variation of the barrier | statement | theorem A.1 | arxiv |
| The full shadow retains the core's holes | statement | corollary 5.8 | arxiv |
| Passing to powers removes the transients | statement | proposition 5.10 | arxiv |
| Outer-boundary regularization | statement | lemma 2.5 | arxiv |
| A continuous compact-set family with a singleton fiber | statement | lemma 5.5 | arxiv |
| Separation beyond a root threshold | statement | lemma 3.8 | arxiv |
