### Abstract

Original language | English |
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Title of host publication | Trends in Stochastic Analysis: A Festschrift in Honour of Heinrich v. Weizsäcker. |

Editors | J Blath, Peter Morters, M Scheutzow |

Publisher | Cambridge University Press |

Pages | 99-120 |

Number of pages | 22 |

Volume | 353 |

Publication status | Published - 2009 |

### Publication series

Name | The London Mathematical Society Lecture Notes Series 353 |
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Publisher | Cambridge University Press |

### Fingerprint

### Cite this

*Trends in Stochastic Analysis: A Festschrift in Honour of Heinrich v. Weizsäcker.*(Vol. 353, pp. 99-120). (The London Mathematical Society Lecture Notes Series 353). Cambridge University Press.

**Why study multifractal spectra?** / Morters, Peter.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Trends in Stochastic Analysis: A Festschrift in Honour of Heinrich v. Weizsäcker..*vol. 353, The London Mathematical Society Lecture Notes Series 353, Cambridge University Press, pp. 99-120.

}

TY - CHAP

T1 - Why study multifractal spectra?

AU - Morters, Peter

PY - 2009

Y1 - 2009

N2 - We show by three simple examples how multifractal spectra can enrich our understanding of stochastic processes. The first example concerns the problem of describing the speed of fragmentation in a stick-breaking process, the second concerns the nature of a phase transition in a simple model of statistical mechanics, and the third example discusses the speed of emergence in Kingman’s coalescent.

AB - We show by three simple examples how multifractal spectra can enrich our understanding of stochastic processes. The first example concerns the problem of describing the speed of fragmentation in a stick-breaking process, the second concerns the nature of a phase transition in a simple model of statistical mechanics, and the third example discusses the speed of emergence in Kingman’s coalescent.

M3 - Chapter

VL - 353

T3 - The London Mathematical Society Lecture Notes Series 353

SP - 99

EP - 120

BT - Trends in Stochastic Analysis: A Festschrift in Honour of Heinrich v. Weizsäcker.

A2 - Blath, J

A2 - Morters, Peter

A2 - Scheutzow, M

PB - Cambridge University Press

ER -