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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 where are uniformly Hölder f…
math.DS2024
Effective quenched linear response for random dynamical systems
Davor Dragicevic, Yeor Hafouta
We prove ``effective'' linear response for certain classes of non-uniformly expanding random dynamical systems which are not necessarily composed in an i.i.d manner. In application…
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 …