Invariant measures exist under a summability condition for unimodal maps

Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that t...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Nowicki, Tomasz [verfasserIn] van Strien, Sebastian

Format:	Artikel
Sprache:	Englisch

Erschienen:	1991

Schlagwörter:	Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative

Systematik:	SA 5940 SA 5940

Anmerkung:	© Springer International 1991

Übergeordnetes Werk:	Enthalten in: Inventiones mathematicae - Springer-Verlag, 1966, 105(1991), 1 vom: Dez., Seite 123-136
Übergeordnetes Werk:	volume:105 ; year:1991 ; number:1 ; month:12 ; pages:123-136

Links:	Volltext

DOI / URN:	10.1007/BF01232258

Katalog-ID:	OLC2050908016

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matchkey_str	article:00209910:1991----::nainmaueeitneaumbltcni
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allfields	10.1007/BF01232258 doi (DE-627)OLC2050908016 (DE-He213)BF01232258-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Nowicki, Tomasz verfasserin aut Invariant measures exist under a summability condition for unimodal maps 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International 1991 Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative van Strien, Sebastian aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 105(1991), 1 vom: Dez., Seite 123-136 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:105 year:1991 number:1 month:12 pages:123-136 https://doi.org/10.1007/BF01232258 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 105 1991 1 12 123-136
spelling	10.1007/BF01232258 doi (DE-627)OLC2050908016 (DE-He213)BF01232258-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Nowicki, Tomasz verfasserin aut Invariant measures exist under a summability condition for unimodal maps 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International 1991 Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative van Strien, Sebastian aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 105(1991), 1 vom: Dez., Seite 123-136 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:105 year:1991 number:1 month:12 pages:123-136 https://doi.org/10.1007/BF01232258 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 105 1991 1 12 123-136
allfields_unstemmed	10.1007/BF01232258 doi (DE-627)OLC2050908016 (DE-He213)BF01232258-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Nowicki, Tomasz verfasserin aut Invariant measures exist under a summability condition for unimodal maps 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International 1991 Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative van Strien, Sebastian aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 105(1991), 1 vom: Dez., Seite 123-136 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:105 year:1991 number:1 month:12 pages:123-136 https://doi.org/10.1007/BF01232258 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 105 1991 1 12 123-136
allfieldsGer	10.1007/BF01232258 doi (DE-627)OLC2050908016 (DE-He213)BF01232258-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Nowicki, Tomasz verfasserin aut Invariant measures exist under a summability condition for unimodal maps 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International 1991 Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative van Strien, Sebastian aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 105(1991), 1 vom: Dez., Seite 123-136 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:105 year:1991 number:1 month:12 pages:123-136 https://doi.org/10.1007/BF01232258 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 105 1991 1 12 123-136
allfieldsSound	10.1007/BF01232258 doi (DE-627)OLC2050908016 (DE-He213)BF01232258-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn SA 5940 VZ rvk SA 5940 VZ rvk Nowicki, Tomasz verfasserin aut Invariant measures exist under a summability condition for unimodal maps 1991 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International 1991 Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative van Strien, Sebastian aut Enthalten in Inventiones mathematicae Springer-Verlag, 1966 105(1991), 1 vom: Dez., Seite 123-136 (DE-627)129077453 (DE-600)2921-X (DE-576)014409992 0020-9910 nnns volume:105 year:1991 number:1 month:12 pages:123-136 https://doi.org/10.1007/BF01232258 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4027 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4311 GBV_ILN_4313 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 SA 5940 SA 5940 AR 105 1991 1 12 123-136
language	English
source	Enthalten in Inventiones mathematicae 105(1991), 1 vom: Dez., Seite 123-136 volume:105 year:1991 number:1 month:12 pages:123-136
sourceStr	Enthalten in Inventiones mathematicae 105(1991), 1 vom: Dez., Seite 123-136 volume:105 year:1991 number:1 month:12 pages:123-136
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative
dewey-raw	510
isfreeaccess_bool	false
container_title	Inventiones mathematicae
authorswithroles_txt_mv	Nowicki, Tomasz @@aut@@ van Strien, Sebastian @@aut@@
publishDateDaySort_date	1991-12-01T00:00:00Z
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author	Nowicki, Tomasz
spellingShingle	Nowicki, Tomasz ddc 510 ssgn 17,1 rvk SA 5940 misc Lebesgue Measure misc Invariant Measure misc Summability Condition misc Schwarzian Derivative misc Negative Schwarzian Derivative Invariant measures exist under a summability condition for unimodal maps
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topic_title	510 VZ 17,1 ssgn SA 5940 VZ rvk Invariant measures exist under a summability condition for unimodal maps Lebesgue Measure Invariant Measure Summability Condition Schwarzian Derivative Negative Schwarzian Derivative
topic	ddc 510 ssgn 17,1 rvk SA 5940 misc Lebesgue Measure misc Invariant Measure misc Summability Condition misc Schwarzian Derivative misc Negative Schwarzian Derivative
topic_unstemmed	ddc 510 ssgn 17,1 rvk SA 5940 misc Lebesgue Measure misc Invariant Measure misc Summability Condition misc Schwarzian Derivative misc Negative Schwarzian Derivative
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title	Invariant measures exist under a summability condition for unimodal maps
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title_full	Invariant measures exist under a summability condition for unimodal maps
author_sort	Nowicki, Tomasz
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author_browse	Nowicki, Tomasz van Strien, Sebastian
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author-letter	Nowicki, Tomasz
doi_str_mv	10.1007/BF01232258
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title_sort	invariant measures exist under a summability condition for unimodal maps
title_auth	Invariant measures exist under a summability condition for unimodal maps
abstract	Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. © Springer International 1991
abstractGer	Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. © Springer International 1991
abstract_unstemmed	Summary For unimodal maps with negative Schwarzian derivative a sufficient condition for the existence of an invariant measure, absolutely continuous with respect to Lebesgue measure, is given. Namely the derivatives of the iterations of the map in the (unique) critical value must be so large that the sum of (some root of) the inverses is finite. © Springer International 1991
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title_short	Invariant measures exist under a summability condition for unimodal maps
url	https://doi.org/10.1007/BF01232258
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up_date	2024-07-04T03:08:47.964Z
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