PreprintCC BY 4.0HAL
Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows
Abstract
We prove mixing local limit theorems for dynamical systems in the superdiffusive regime where there is convergence to a multivariate stable law (including the nonstandard domain of the central limit theorem). We apply our results to d-dimensional observables for intermittent maps and solenoids, as well as intermittent semiflows and flows.
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BibTeX
@misc{melbourne2026multivariate,
title = {{Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows}},
author = {Ian Melbourne and Françoise Pène and Dalia Terhesiu},
howpublished = {HAL},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.15720},
eprint = {2610.15720},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05793245v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Multivariate stable mixing local limit theorem for intermittent diffeomorphisms and flows
AU - Ian Melbourne
AU - Françoise Pène
AU - Dalia Terhesiu
PY - 2026
DA - 2026/10/11
PB - HAL
DO - 10.48550/arxiv.2610.15720
UR - https://hal.science/hal-05793245v1
AB - We prove mixing local limit theorems for dynamical systems in the superdiffusive regime where there is convergence to a multivariate stable law (including the nonstandard domain of the central limit theorem). We apply our results to d-dimensional observables for intermittent maps and solenoids, as well as intermittent semiflows and flows.
ER -