Brain, Music, and Non-Poisson Renewal Processes

Description:

Article discussing research that shows both music composition and brain function, as revealed by the electroencephalogram (EEG) analysis, are renewal non-Poisson processes living in the nonergodic dominion.

Creator(s):
Creation Date: June 21, 2007
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
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Total Uses: 128
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Creator (Author):
Bianco, Simone

University of North Texas

Creator (Author):
Ignaccolo, Massimiliano

University of North Texas

Creator (Author):
Rider, Mark S.

Integrative and Health Psychology

Creator (Author):
Ross, Mary J.

University of North Texas

Creator (Author):
Winsor, Phil

National Chiao Tung University Hsinchu, Taiwan

Creator (Author):
Grigolini, Paolo

University of North Texas; Area della Ricerca di Pisa; Universitá di Pisa

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: June 21, 2007
Description:

Article discussing research that shows both music composition and brain function, as revealed by the electroencephalogram (EEG) analysis, are renewal non-Poisson processes living in the nonergodic dominion.

Degree:
Department: Physics
Note:

Copyright 2007 American Physical Society. The following article appeared in Physical Review E, 75:6; http://pre.aps.org/abstract/PRE/v75/i6/e061911

Note:

Abstract: In this paper we show that both music composition and brain function, as revealed by the electroencephalogram (EEG) analysis, are renewal non-Poisson processes living in the nonergodic dominion. To reach this important conclusion the authors process the data with the minimum spanning tree method, so as to detect significant events, thereby building a sequence of times, which is the time series to analyze. The the authors show that in both cases, EEG and music composition, these significant events are the signature of a non-Poisson renewal process. This conclusion is reached using a technique of statistical analysis recently developed by the authors' group, the aging experiment (AE). First, the authors find that in both cases the distances between two consecutive events are described by nonexponential histograms, thereby proving the non-Poisson nature of these processes. The corresponding survival probabilities ψ(t) are well fitted by stretched exponentials [ψ(t) ∝ exp (-(yt)a), with 0.5<a<1.] The second step rests on the adoption of AE, which shows that these are renewal processes. The authors show that the stretched exponential, due to its renewal character, is the emerging tip of an iceberg, whose underwater part has slow tails with an inverse power law structure with power index μ=1+ơ. Adopting the AE procedure, the authors find that both EEG and music composition yield μ<2. On the basis of the recently discovered complexity driving signal P with μp⩽μs, the authors conclude that the results of their analysis may explain the influence of music on the human brain.

Physical Description:

10 p.

Language(s):
Subject(s):
Keyword(s): non-Poisson | electroencephalograms
Source: Physical Review E, 2007, College Park: American Physical Society
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.75.061911 |
  • ARK: ark:/67531/metadc40398
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 75
Issue: 6
Pages: 10
Peer Reviewed: Yes