Dmitry Dolgopyat

most citedRates of convergence in CLT and ASIP for sequences of expanding maps

2 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2024

Local limit theorems for expanding maps

Dmitry Dolgopyat, Yeor Hafouta

We prove local central limit theorems for partial sums of the form \newline $S_{n} = \sum_{j = 0}^{n - 1} f_{j} \circ T_{j - 1} \circ \dots \circ T_{1} \circ T_{0}$ where $f_{j}$ are uniformly Hölder f…

math.DS2024★ 2 cited

Rates of convergence in CLT and ASIP for sequences of expanding maps

Dmitry Dolgopyat, Yeor Hafouta

We prove Berry-Esseen theorems and the almost sure invariance principle with rates for partial sums of the form $S_{n} = \sum_{j = 0}^{n - 1} f_{j} \circ T_{j - 1} \circ \dots \circ T_{1} \circ T_{0}$ …