Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2503.16088 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912284113108992 |
|---|---|
| author | Morris, Ian D. |
| author_facet | Morris, Ian D. |
| contents | We prove a general measurable Livšic regularity theorem for real-valued cocycles over non-invertible dynamical systems using only abstract hypotheses on an associated transfer operator. As illustrative applications we derive measurable Livšic regularity results in the analytic regularity class for cocycles over real-analytic expanding maps, in the bounded-variation regularity class for $β$-transformations, and in $C^α$ regularity over the class of virtually expanding maps recently introduced by M. Tsujii. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16088 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | General real measurable Livšic regularity via transfer operators Morris, Ian D. Dynamical Systems 37C30 We prove a general measurable Livšic regularity theorem for real-valued cocycles over non-invertible dynamical systems using only abstract hypotheses on an associated transfer operator. As illustrative applications we derive measurable Livšic regularity results in the analytic regularity class for cocycles over real-analytic expanding maps, in the bounded-variation regularity class for $β$-transformations, and in $C^α$ regularity over the class of virtually expanding maps recently introduced by M. Tsujii. |
| title | General real measurable Livšic regularity via transfer operators |
| topic | Dynamical Systems 37C30 |
| url | https://arxiv.org/abs/2503.16088 |