dc.contributor.author
Ivrii, O.
dc.contributor.author
Nicolau, A.
dc.date.accessioned
2025-01-14T09:44:27Z
dc.date.available
2025-01-14T09:44:27Z
dc.date.issued
2024-10-30
dc.identifier.uri
http://hdl.handle.net/2072/480022
dc.description.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 & ouml;bius distortion, the distribution of critical points and Aleksandrov-Clark measures. We also examine the Lyapunov exponents of their Aleksandrov-Clark measures.
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dc.description.sponsorship
This research was supported by the Israel Science Foundation (grant 3134/21), the Generalitat de Catalunya (grant 2021 SGR 00071), the Spanish Ministerio de Ciencia e Innovación (projectPID2021-123151NB-I00) and the Spanish Research Agency (María de Maeztu Program CEX2020-001084-M)
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dc.format.extent
33 p.
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dc.relation.ispartof
Proceedings Of The London Mathematical Society
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dc.rights
(c) 2024 The Author(s)
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dc.rights
Attribution-NonCommercial-NoDerivatives 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Analytic mapping
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dc.title
Analytic mappings of the unit disk which almost preserve hyperbolic area
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/publishedVersion
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dc.identifier.doi
10.1112/plms.70001
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
