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https://hdl.handle.net/20.500.12202/9556| Title: | Mixing properties of generalized T,T-1 transformations |
| Authors: | Nándori, Péter Dolgopyat, Dmitry Dong, Changguang Kanigowski, Adam 0000-0001-8238-6653 |
| Keywords: | generalized T,T−1 transformations fiber dynamics ergodic fibers |
| Issue Date: | 2022 |
| Publisher: | Hebrew University Magnes Press |
| Citation: | Dolgopyat, D., Dong, C., Kanigowski, A., & Nándori, P. (2022). Mixing properties of generalized T,T-1 transformations. Israel Journal of Mathematics, 247(1), 21-73. https://doi.org/10.1007/s11856-022-2289-3 |
| Series/Report no.: | Israel Journal of Mathematics;247(1) |
| Abstract: | We study mixing properties of generalized T,T−1 transformations. We discuss two mixing mechanisms. In the case the fiber dynamics is mixing, it is sufficient that the driving cocycle is small with small probability. In the case the fiber dynamics is only assumed to be ergodic, one needs to use the shearing properties of the cocycle. Applications include the central limit theorem for sufficiently fast mixing systems and the estimates on deviations of ergodic averages. |
| Description: | Scholarly article / Open access |
| URI: | https://doi-org.ezproxy.yu.edu/10.1007/s11856-022-2289-3 https://hdl.handle.net/20.500.12202/9556 |
| ISSN: | ISSN: 0021-2172, 1565-8511. |
| Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Nandori 2022 Mixing arXiv 2004.07298.pdf | 458.68 kB | Adobe PDF |  View/Open |
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