Analysis of Multiparticle Correlations and the Wavelet Transform

  • Peter Lipa
  • Martin Greiner
  • Peter Carruthers
Part of the NATO ASI Series book series (NSSB, volume 346)


The analysis of multiparticle correlations by means of factorial moments1 and refinements thereof,2 amounts to counting the abundance of q-tuples of particles in phase space in dependence of the “size” of the tuple. The human brain, however, follows a different strategy to estimate correlations of point patterns: it organizes points/particles in densely populated regions into (hard to quantify) “clumps” or “clusters” and unpopular regions into “voids” if one looks closer into a particular “clump” it may (or may not) again be organized into “clusters” and “voids”, but now with respect to the higher (smooth) background density of the bigger “parent-clump”, and so on.


Detail Function Multiresolution Analysis Correlation Density Quadrature Mirror Filter Multiresolution Decomposition 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Peter Lipa
    • 1
    • 2
  • Martin Greiner
    • 3
  • Peter Carruthers
    • 1
  1. 1.Department of PhysicsUniversity of ArizonaTucsonUSA
  2. 2.Institut für Hochenergiephysik der Österreichischen Akademie der WissenschaftenWienAustria
  3. 3.Institut für Theoretische Physik der Justus-Liebig-UniversitätGiessenGermany

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