Vertical and reentrant ferromagnetic boundaries below the Nishimori point P3RTT99C41
| URI | m2://res/P3RTT99C41 |
|---|---|
| Kind | preprint |
| Creators | Yan Ru Pei |
| Date | 2026-09-28 |
| MSC | 60-XX, 81-XX |
| Subjects | arxiv math.PR, arxiv cond-mat.dis-nn, arxiv math-ph, arxiv math.MP |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-28 |
| Ids | arXiv 2609.37479, zbl_id 903189662 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Backbone reduction | statement | lemma 9.4 | arxiv |
| A positive kernel | statement | proposition 7.14 | arxiv |
| Interior constant of $H_4$ | statement | lemma C.11 | arxiv |
| Cell rule | statement | lemma C.12 | arxiv |
| Reduction | statement | lemma A.7 | arxiv |
| First moment | statement | lemma 6.5 | arxiv |
| 2JGFASXHF3 | statement | theorem 6.9 | arxiv |
| Concentration on the maximizers | statement | lemma 4.5 | arxiv |
| Uniqueness | statement | corollary 9.8 | arxiv |
| Frank--Wolfe bound | statement | proposition 6.7 | arxiv |
| Kernel | statement | lemma A.5 | arxiv |
| Replica-symmetric lower bound on the Nishimori line | statement | lemma 6.4 | arxiv |
| 5J962SGWYN | statement | theorem 8.2 | arxiv |
| 81ER1NN02N | statement | theorem 1.3 | arxiv |
| Accumulator | statement | lemma A.9 | arxiv |
| Law of the decimated coupling | statement | proposition 9.3 | arxiv |
| Two-terminal reduction | statement | lemma C.1 | arxiv |
| Bins | statement | lemma 6.1 | arxiv |
| Single crossing | statement | lemma 7.3 | arxiv |
| Nondegeneracy at the triple point | statement | theorem 7.13 | arxiv |
| Nishimori-line identities | statement | lemma 7.1 | arxiv |
| Lopatto | statement | theorem 5.1 | arxiv |
| Nishimori floor | statement | proposition 9.11 | arxiv |
| BXXKDF0284 | problem | problem | arxiv |
| C74343M6X1 | statement | lemma C.10 | arxiv |
| Quadratic cost of magnetization | statement | lemma 6.2 | arxiv |
| Nishimori law of a two-terminal graph | statement | lemma C.2 | arxiv |
| Plus-state bound | statement | proposition 9.5 | arxiv |
| Reentrant Gibbs states on $\Z^2{[H]}$ | statement | theorem 9.1 | arxiv |
| Reentrance near the triple point | statement | theorem 7.5 | arxiv |
| The vertical boundary line | statement | theorem 4.1 | arxiv |
| Large $p$ | statement | theorem 7.15 | arxiv |
| Continuity across the vertical boundary | statement | corollary 4.8 | arxiv |
| Finite volume | statement | corollary 9.2 | arxiv |
| Order at the Nishimori temperature | statement | theorem 9.9 | arxiv |
| Non-uniqueness | statement | proposition 9.6 | arxiv |
| The function $y$ | statement | lemma A.2 | arxiv |
| The spin-glass free energy to second order | statement | proposition 7.9 | arxiv |
| JVHRACCR1K | statement | theorem 1.1 | arxiv |
| Endpoint reduction | statement | lemma 6.6 | arxiv |
| Integrated form | statement | lemma A.6 | arxiv |
| Convexity and a fixed-field comparison | statement | lemma 4.6 | arxiv |
| Known facts | statement | proposition 2.1 | arxiv |
| Closed forms at the triple point | statement | lemma 7.12 | arxiv |
| Counting | statement | lemma C.7 | arxiv |
| A lower bound on the free energy | statement | lemma 6.3 | arxiv |
| N1AYX75565 | statement | theorem 8.1 | arxiv |
| Jensen field bound | statement | lemma 4.2 | arxiv |
| Strict envelope | statement | corollary 4.9 | arxiv |
| Decimation | statement | lemma C.3 | arxiv |
| Free energy near the line | statement | corollary 4.7 | arxiv |
| Ferromagnetic bins near $\mu$ | statement | lemma 7.11 | arxiv |
| Gauge identities | statement | lemma C.9 | arxiv |
| QA0ZBVWCQ3 | statement | theorem 1.2 | arxiv |
| The SK model with a Curie--Weiss bias | statement | theorem 3.1 | arxiv |
| The one-step branch | statement | lemma 7.8 | arxiv |
| R7NZZC9N60 | statement | lemma 5.2 | arxiv |
| R82EHG3QDB | statement | lemma 5.4 | arxiv |
| Endgame | statement | lemma 5.3 | arxiv |
| Convexity on the gap | statement | proposition 5.5 | arxiv |
| Existence and a uniqueness criterion | statement | lemma C.4 | arxiv |
| Contours | statement | lemma C.6 | arxiv |
| Two-point bound with at most two defects | statement | proposition C.8 | arxiv |
| Gauge transfer | statement | lemma 4.4 | arxiv |
| Newman | statement | lemma 9.7 | arxiv |
| The triple point | statement | proposition 7.2 | arxiv |
| Local sufficiency | statement | lemma 7.7 | arxiv |
| Monotonicity along the Nishimori line | statement | lemma 9.10 | arxiv |
| Curvature in the one-step parameter | statement | lemma 7.6 | arxiv |
| Flip bound | statement | lemma C.5 | arxiv |
| Directional derivatives | statement | lemma 6.8 | arxiv |
| Nishimori-line diagonal | statement | lemma 7.10 | arxiv |
| Curie--Weiss comparison at the maximizers | statement | lemma 4.3 | arxiv |
Catalogue records
- arxiv: 2609.37479 (work)
- arxiv_text: 2609.37479 (work)
- zbmath_search: 903189662 (work)