@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",
doi = "10.1007/978-3-031-32601-1_4",
language = "الإنجليزيّة",
series = "Lecture Notes in Mathematics",
publisher = "Springer Science and Business Media B.V.",
pages = "85--111",
booktitle = "Lecture Notes in Mathematics",
address = "ألمانيا",
}