Central Limit Theorem for Sequential Dynamical Systems
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908455180173312 |
|---|---|
| author | Demers, Mark F. Liverani, Carlangelo |
| author_facet | Demers, Mark F. Liverani, Carlangelo |
| contents | We present a general approach to establish the Central Limit Theorem with error bounds for sequential dynamical systems. The main tool we develop is the application to this setting of a projective metric on complex cones, following the ideas introduced by Rugh and Dubois. To demonstrate the power of the proposed setting, we apply it to both sequential expanding maps, where similar results are known, and to sequential dispersing billiards, for which no such results are currently known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07765 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Central Limit Theorem for Sequential Dynamical Systems Demers, Mark F. Liverani, Carlangelo Dynamical Systems Primary 37A50, 60F05, Secondary 37D20, 37D40 We present a general approach to establish the Central Limit Theorem with error bounds for sequential dynamical systems. The main tool we develop is the application to this setting of a projective metric on complex cones, following the ideas introduced by Rugh and Dubois. To demonstrate the power of the proposed setting, we apply it to both sequential expanding maps, where similar results are known, and to sequential dispersing billiards, for which no such results are currently known. |
| title | Central Limit Theorem for Sequential Dynamical Systems |
| topic | Dynamical Systems Primary 37A50, 60F05, Secondary 37D20, 37D40 |
| url | https://arxiv.org/abs/2502.07765 |