Endogenous Measures and Refinement Dynamics on Finite σ-Algebra Systems
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915970624258048 |
|---|---|
| author | Baird, Paul |
| author_facet | Baird, Paul |
| contents | We study systems of σ-algebras ordered by refinement and introduce the notion of an endogenous probability measure, invariant under admissible refinement transformations. We prove existence and structural properties of such measures on finite systems and show how refinement operators induce a natural dynamical structure on the lattice of σ-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27655 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Endogenous Measures and Refinement Dynamics on Finite σ-Algebra Systems Baird, Paul Dynamical Systems 37A05 We study systems of σ-algebras ordered by refinement and introduce the notion of an endogenous probability measure, invariant under admissible refinement transformations. We prove existence and structural properties of such measures on finite systems and show how refinement operators induce a natural dynamical structure on the lattice of σ-algebras. |
| title | Endogenous Measures and Refinement Dynamics on Finite σ-Algebra Systems |
| topic | Dynamical Systems 37A05 |
| url | https://arxiv.org/abs/2604.27655 |