Dirichlet forms on unconstrained Sierpinski carpets
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909149573414912 |
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| author | Cao, Shiping Qiu, Hua |
| author_facet | Cao, Shiping Qiu, Hua |
| contents | We construct symmetric self-similar Dirichlet forms on unconstrained Sierpinski carpets, which are natural extension of planar Sierpinski carpets by allowing the small cells to live off the $1/k$ grids. The intersection of two cells can be a line segment of irrational length, and the non-diagonal assumption is dropped in this recurrent setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_01529 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Dirichlet forms on unconstrained Sierpinski carpets Cao, Shiping Qiu, Hua Functional Analysis Probability 28A80, 31E05 We construct symmetric self-similar Dirichlet forms on unconstrained Sierpinski carpets, which are natural extension of planar Sierpinski carpets by allowing the small cells to live off the $1/k$ grids. The intersection of two cells can be a line segment of irrational length, and the non-diagonal assumption is dropped in this recurrent setting. |
| title | Dirichlet forms on unconstrained Sierpinski carpets |
| topic | Functional Analysis Probability 28A80, 31E05 |
| url | https://arxiv.org/abs/2104.01529 |