NDLI: On the topological entropy of transitive maps of the interval

Content Provider	Scilit
Author	Coven, Ethan M. Hidalgo, Melissa C.
Copyright Year	1991
Description	The topological entropy of a continuous map of the interval is the supremum of the topological entropies of the piecewise linear maps associated to its finite invariant sets. We show that for transitive maps, this supremum is attained at some finite invariant set if and only if the map is piecewise monotone and the set contains the endpoints of the interval and the turning points of the map.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/B71AEA1D35E3B40375E2EEAF9C6CBE6E/S0004972700029634a.pdf/div-class-title-on-the-topological-entropy-of-transitive-maps-of-the-interval-div.pdf
Ending Page	213
Page Count	7
Starting Page	207
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700029634
Journal	Bulletin of the Australian Mathematical Society
Issue Number	2
Volume Number	44
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1991-10-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Transitive Maps Topological Entropy Finite Invariant Invariant Set
Content Type	Text
Resource Type	Article
Subject	Mathematics

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

On the topological entropy of transitive maps of the interval