Canonical Multichart Structural Decomposition in the Competitive Regime
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| Natura: | Recurso digital |
| Lingua: | inglese |
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2026
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| _version_ | 1866901112732254208 |
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| author | Sousa Oliveira, Francisco Anderson de |
| author_facet | Sousa Oliveira, Francisco Anderson de |
| contents | <p><strong>Under Study</strong><br><br>This deposit contains the PDF version of the article “Canonical Multichart Structural Decomposition in the Competitive Regime”.</p> <p>The work develops the multichart extension of the structural decomposition program, moving beyond affine and single-chart nonlinear descriptions toward a competitive multicomponent ontology for evolving densities. Its central contribution is to formalize a regime in which multiple structural components are treated as genuinely necessary objects of the theory rather than as auxiliary numerical artifacts.</p> <p>Within this framework, the article introduces a multicomponent structural decomposition, a variational functional balancing fidelity and parsimony, a canonical external gauge based on admissibility, fusion, competitiveness, and lexicographic selection, and an explicit transition criterion from the single-chart regime to the multichart regime. The work also formulates local identifiability, robustness, and short-time propagation principles for the resulting structural description.</p> <p>Main mathematical themes:<br>- structural decomposition;<br>- multichart dynamics;<br>- competitive regime;<br>- measure evolution;<br>- variational selection;<br>- multicomponent structural models.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19290675 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Canonical Multichart Structural Decomposition in the Competitive Regime Sousa Oliveira, Francisco Anderson de <p><strong>Under Study</strong><br><br>This deposit contains the PDF version of the article “Canonical Multichart Structural Decomposition in the Competitive Regime”.</p> <p>The work develops the multichart extension of the structural decomposition program, moving beyond affine and single-chart nonlinear descriptions toward a competitive multicomponent ontology for evolving densities. Its central contribution is to formalize a regime in which multiple structural components are treated as genuinely necessary objects of the theory rather than as auxiliary numerical artifacts.</p> <p>Within this framework, the article introduces a multicomponent structural decomposition, a variational functional balancing fidelity and parsimony, a canonical external gauge based on admissibility, fusion, competitiveness, and lexicographic selection, and an explicit transition criterion from the single-chart regime to the multichart regime. The work also formulates local identifiability, robustness, and short-time propagation principles for the resulting structural description.</p> <p>Main mathematical themes:<br>- structural decomposition;<br>- multichart dynamics;<br>- competitive regime;<br>- measure evolution;<br>- variational selection;<br>- multicomponent structural models.</p> |
| title | Canonical Multichart Structural Decomposition in the Competitive Regime |
| url | https://doi.org/10.5281/zenodo.19290675 |