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| Format: | Preprint |
| Published: |
2016
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1605.09146 |
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| _version_ | 1866909673453518848 |
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| author | Krieger, Wolfgang |
| author_facet | Krieger, Wolfgang |
| contents | We consider families of coded systems that contain the Dyck shifts and that are closed under topological conjugacy. We introduce a notion of hyposynchronization of subshifts. We introduce a notion of restricted complexity of hyposynchronizing subshifts. Restricted complexity of hyyposynchronizing subshift is not invariant under topological conjugacy. We construct explicitly a family of hyposynchronizing subshifts of restricted complexity that extends the family of Dyck shifts. The subshifts in this family are characterized by their restricted complexity in conjunction with a certain set of invariants of topological conjugacy that inclufdes the Artin-Mazur zeta function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1605_09146 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | On certain labelled directed graphs of symbolic dynamics Krieger, Wolfgang Dynamical Systems 37B10 We consider families of coded systems that contain the Dyck shifts and that are closed under topological conjugacy. We introduce a notion of hyposynchronization of subshifts. We introduce a notion of restricted complexity of hyposynchronizing subshifts. Restricted complexity of hyyposynchronizing subshift is not invariant under topological conjugacy. We construct explicitly a family of hyposynchronizing subshifts of restricted complexity that extends the family of Dyck shifts. The subshifts in this family are characterized by their restricted complexity in conjunction with a certain set of invariants of topological conjugacy that inclufdes the Artin-Mazur zeta function. |
| title | On certain labelled directed graphs of symbolic dynamics |
| topic | Dynamical Systems 37B10 |
| url | https://arxiv.org/abs/1605.09146 |