@article{9d4fed8de61a4d86bc362fdee327eb05,
title = "Analytic mappings of the unit disk which almost preserve hyperbolic area",
abstract = "In this paper, we study analytic self-maps of the unit disk which distort hyperbolic areas of large hyperbolic disks by a bounded amount. We give a number of characterizations involving angular derivatives, Lipschitz extensions, M{\"o}bius distortion, the distribution of critical points and Aleksandrov–Clark measures. We also examine the Lyapunov exponents of their Aleksandrov–Clark measures.",
author = "Oleg Ivrii and Artur Nicolau",
note = "Publisher Copyright: {\textcopyright} 2024 The Authors. Proceedings of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",
year = "2024",
month = nov,
doi = "10.1112/plms.70001",
language = "אנגלית",
volume = "129",
journal = "Proceedings of the London Mathematical Society",
issn = "0024-6115",
publisher = "John Wiley and Sons Ltd",
number = "5",
}