@inbook{ed8756aa19f642b5b62daf58694d6239,
title = "The Essential Range and Irreducibility",
abstract = "The local limit theorem may fail for additive functionals whose range can be reduced by subtracting a center-tight functional. In this chapter we study the structure of such functionals, and calculate the smallest possible algebraic range which can be obtained this way.",
author = "Dmitry Dolgopyat and Sarig, \{Omri M.\}",
note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",
year = "2023",
month = apr,
day = "16",
doi = "10.1007/978-3-031-32601-1\_4",
language = "English",
isbn = "978-3-031-32600-4",
volume = "2331",
series = "Lecture Notes in Mathematics",
publisher = "Springer Science and Business Media B.V.",
pages = "85--111",
booktitle = "Local Limit Theorems For Inhomogeneous Markov Chains",
address = "Germany",
}