Search

Asymptotically holomorphic methods for infinitely renormalizable $C^r$ unimodal maps
Part of
TREVOR CLARK, EDSON DE FARIA, SEBASTIAN VAN STRIEN
Journal:

Ergodic Theory and Dynamical Systems / Volume 43 / Issue 11 / November 2023

Published online by Cambridge University Press:

29 November 2022, pp. 3636-3684

Print publication:

November 2023
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of asymptotically holomorphic extensions of $C^r$ ($r>3$) unimodal maps that are infinitely renormalizable of bounded type. Here we prove a version of the Fatou–Julia–Sullivan theorem and a topological straightening theorem in this setting. In particular, these maps do not have wandering domains and their Julia sets are locally connected.

Figures
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp vii-ix
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Appendix 1 - Selective, Chronological List of Traditional Music Published up to 1920
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp 366-382
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Maps
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp x-x
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp v-vi
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Copyright page
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp iv-iv
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Acknowledgements
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp xxvi-xxvi
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Maps
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp xxxi-xxxiv
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Index
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp 437-444
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Appendix 2 - Selective, Chronological List of Hymn Collections Published in Wales or for Use by Welsh Congregations from 1621 to 1900
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp 383-396
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Appendices
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp 366-403
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Appendix 3 - Selective List of Major Published and Manuscript Sources Available in Open-Access Digitised Form
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp 397-403
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contributors
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp xii-xvi
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp xvii-xxv
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Music Examples
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp xi-xi
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Bibliography
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp 404-436
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Glossary
Edited by Trevor Herbert, Royal College of Music, London, Martin V. Clarke, The Open University, Milton Keynes, Helen Barlow, The Open University, Milton Keynes
Book:

A History of Welsh Music

Published online:

08 September 2022

Print publication:

29 September 2022, pp xxvii-xxx
- Chapter
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

A History of Welsh Music

Edited by Trevor Herbert, Martin V. Clarke, Helen Barlow
Published online:

08 September 2022

Print publication:

29 September 2022
- Book
- - Get access
    
    Buy a print copy
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
From early medieval bards to the bands of the 'Cool Cymru' era, this book looks at Welsh musical practices and traditions, the forces that have influenced and directed them, and the ways in which the idea of Wales as a 'musical nation' has been formed and embedded in popular consciousness in Wales and beyond. Beginning with early medieval descriptions of musical life in Wales, the book provides both an overarching study of Welsh music history and detailed consideration of the ideas, beliefs, practices and institutions that shaped it. Topics include the eisteddfod, the church and the chapel, the influence of the Welsh language and Welsh cultural traditions, the scholarship of the Celtic Revival and the folk song movement, the impacts of industrialization and digitization, and exposure to broader trends in popular culture, including commercial popular music and sport.

Coupling Extreme Environments in the SEM: Present and Future Developments
Eric Lang, Samuel A. Briggs, Trevor Clark, Nathan Heckman, Anthony Monterrosa, Christopher M. Barr, Brad L. Boyce, Dan Buller, Khalid Hattar
Journal:

Microscopy and Microanalysis / Volume 28 / Issue S1 / August 2022

Published online by Cambridge University Press:

22 July 2022, pp. 2086-2087

Print publication:

August 2022
- Article
- - You have access
- PDF
- Export citation

Structure and Phase Stability in Extreme Environments Explored via In-situ TEM Experiments
Eric Lang, Nathan Madden, Ryan Schoell, Trevor Clark, David P. Adams, Khalid Hattar
Journal:

Microscopy and Microanalysis / Volume 28 / Issue S1 / August 2022

Published online by Cambridge University Press:

22 July 2022, pp. 1848-1850

Print publication:

August 2022
- Article
- - You have access
- PDF
- Export citation

Search Results

Refine search

Refine search

Actions for selected content:

55 results

Asymptotically holomorphic methods for infinitely renormalizable $C^r$ unimodal maps

Figures

Appendix 1 - Selective, Chronological List of Traditional Music Published up to 1920

Maps

Contents

Copyright page

Acknowledgements

Maps

Index

Appendix 2 - Selective, Chronological List of Hymn Collections Published in Wales or for Use by Welsh Congregations from 1621 to 1900

Appendices

Appendix 3 - Selective List of Major Published and Manuscript Sources Available in Open-Access Digitised Form

Contributors

Preface

Music Examples

Bibliography

Glossary

A History of Welsh Music

Coupling Extreme Environments in the SEM: Present and Future Developments

Structure and Phase Stability in Extreme Environments Explored via In-situ TEM Experiments

Search Results

Refine search

Refine search

Actions for selected content:

Save Search

55 results

A History of Welsh Music