Abstract:
In [1, 2], the authors extended the classical spectral method for establishing limit theorems for deterministic dynamical systems to random piecewise-expanding and hyperbolic dynamical systems exhibiting uniform decay of correlations. In this talk we will discuss a certain modification of this method that enables us to establish limit theorems for a broad class of random piecewise expanding dynamics that doesn't exhibit uniform decay of correlations. This is a joint work with Julien Sedro and Yeor Hafouta [3, 4].
[1] D. Dragičević et. al. A spectral approach for quenched limit theorems for random expanding dynamical systems, Comm. Math. Phys. 360 (2018), 1121--1187.
[2] D. Dragičević et. al. A spectral approach for quenched limit theorems for random hyperbolic dynamical systems, Trans. Amer. Math. Soc. 373 (2020), 629--664.
[3] D. Dragičević and J. Sedro, Quenched limit theorems for expanding on average cocycles, preprint (2021), https://arxiv.org/abs/2105.00548
[4] D. Dragičević, Y. Hafouta and J. Sedro, A vector-valued almost sure invariance principle for random expanding on average cocycles, preprint (2021), https://arxiv.org/abs/2108.08714,
Quenched limit laws for expanding on average cocycles
14.10.2021 10:45 - 11:30
Organiser:
Marks Ruziboev
Location: