Probabilistic Multifractals and Negative Dimensions

  • Ashvin B. Chhabra
  • K. R. Sreenivasan
Conference paper


We propose that negative dimensions can be best understood using the concept of level-independent multiplier distributions and show that, by utilising them, one can extract the positive and negative parts of the f(α) function with exponentially less work than by using conventional boxcounting methods. When the underlying multiplicative structure is not known, both methods of computing negative dimensions can give spurious results at finite resolution. Applications to fully developed turbulence are discussed briefly.


Partition Function Negative Part Multiplier Method Atmospheric Surface Layer Negative Dimension 
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Copyright information

© Springer-Verlag New York Inc. 1991

Authors and Affiliations

  • Ashvin B. Chhabra
  • K. R. Sreenivasan

There are no affiliations available

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