St Andrews Research Repository

St Andrews University Home
View Item 
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  •   St Andrews Research Repository
  • University of St Andrews Research
  • University of St Andrews Research
  • University of St Andrews Research
  • View Item
  • Register / Login
JavaScript is disabled for your browser. Some features of this site may not work without it.

Sixty years of fractal projections

Thumbnail
View/Open
1411.3156.pdf (506.1Kb)
Date
31/07/2015
Author
Falconer, Kenneth John
Fraser, Jonathan Macdonald
Jin, Xiong
Keywords
Fractals
Projections
Dimensions
Measure
QA Mathematics
Metadata
Show full item record
Abstract
Sixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff dimension of a plane set to the dimensions of its orthogonal projections onto lines. For many years, the paper attracted very little attention. However, over the past 30 years, Marstrand’s projection theorems have become the prototype for many results in fractal geometry with numerous variants and applications and they continue to motivate leading research.
Citation
Falconer , K J , Fraser , J M & Jin , X 2015 , Sixty years of fractal projections . in C Bandt , K J Falconer & M Zähle (eds) , Fractal Geometry and Stochastics V . Progress in Probability , vol. 70 , Birkhauser , Basel , pp. 3-25 , Fractal Geometry and Stochastics V , Tabarz , Germany , 24/03/14 . https://doi.org/10.1007/978-3-319-18660-3 , https://doi.org/10.1007/978-3-319-18660-3_1
 
conference
 
Publication
Fractal Geometry and Stochastics V
DOI
https://doi.org/10.1007/978-3-319-18660-3
ISSN
1050-6977
Type
Book item
Rights
Copyright Springer International Publishing Switzerland 2015. The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-18660-3_1
Collections
  • University of St Andrews Research
URL
http://www.springer.com/gb/book/9783319186597
http://arxiv.org/pdf/1411.3156.pdf
URI
http://hdl.handle.net/10023/9231

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

Advanced Search

Browse

All of RepositoryCommunities & CollectionsBy Issue DateNamesTitlesSubjectsClassificationTypeFunderThis CollectionBy Issue DateNamesTitlesSubjectsClassificationTypeFunder

My Account

Login

Open Access

To find out how you can benefit from open access to research, see our library web pages and Open Access blog. For open access help contact: openaccess@st-andrews.ac.uk.

Accessibility

Read our Accessibility statement.

How to submit research papers

The full text of research papers can be submitted to the repository via Pure, the University's research information system. For help see our guide: How to deposit in Pure.

Electronic thesis deposit

Help with deposit.

Repository help

For repository help contact: Digital-Repository@st-andrews.ac.uk.

Give Feedback

Cookie policy

This site may use cookies. Please see Terms and Conditions.

Usage statistics

COUNTER-compliant statistics on downloads from the repository are available from the IRUS-UK Service. Contact us for information.

© University of St Andrews Library

University of St Andrews is a charity registered in Scotland, No SC013532.

  • Facebook
  • Twitter