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Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series

- J. Kantelhardt, S. Zschiegner, E. Koscielny-Bunde, A. Bunde, S. Havlin, H. Stanley
- Mathematics, Physics
- 27 February 2002

We develop a method for the multifractal characterization of nonstationary time series, which is based on a generalization of the detrended fluctuation analysis (DFA). We relate our multifractal DFA… Expand

Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series.

- C. Peng, S. Havlin, H. Stanley, A. Goldberger
- Mathematics, Medicine
- Chaos
- 1995

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Mosaic organization of DNA nucleotides.

- C. Peng, S. Buldyrev, S. Havlin, M. Simons, H. Stanley, A. Goldberger
- Biology, Medicine
- Physical review. E, Statistical physics, plasmas…
- 1 February 1994

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Catastrophic cascade of failures in interdependent networks

- S. Havlin, N. Araújo, +4 authors H. Stanley
- Environmental Science, Computer Science
- Nature
- 7 July 2009

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Optimizing the success of random searches

- G. M. Viswanathan, S. Buldyrev, S. Havlin, M. D. Luz, E. Raposo, H. Stanley
- Mathematics, Medicine
- Nature
- 28 October 1999

TLDR

Identification of influential spreaders in complex networks

Spreading of information, ideas or diseases can be conveniently modelled in the context of complex networks. An analysis now reveals that the most efficient spreaders are not always necessarily the… Expand

Detecting long-range correlations with detrended fluctuation analysis

- J. Kantelhardt, E. Koscielny-Bunde, H. A. Rego, S. Havlin, A. Bunde
- Mathematics, Physics
- 12 February 2001

We examine the detrended fluctuation analysis (DFA), which is a well-established method for the detection of long-range correlations in time series. We show that deviations from scaling which appear… Expand

Long-range anticorrelations and non-Gaussian behavior of the heartbeat.

- Peng C-K, J. Mietus, Jeffrey M. Hausdorff, S. Havlin, H. Stanley, A. Goldberger
- Mathematics, Medicine
- Physical review letters
- 1 March 1993

TLDR

Scaling behaviour in the growth of companies

- M. H. Stanley, L. Amaral, +5 authors H. Stanley
- Economics
- Nature
- 29 February 1996

A SUCCESSFUL theory of corporate growth should include both the external and internal factors that affect the growth of a company1–18. Whereas traditional models emphasize production-related… Expand

Self-similarity of complex networks

- Chaoming Song, S. Havlin, H. Makse
- Medicine, Physics
- Nature
- 27 January 2005

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