Cancellation exponents and fractal scaling
- 1 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (5) , 4716-4719
- https://doi.org/10.1103/physreve.49.4716
Abstract
We discuss a relationship between cancellation exponents [E. Ott et al., Phys. Rev. Lett. 69, 2654 (1992); Y. Du and E. Ott, Physica D 67, 387 (1993)] and the classical Hölder exponents [J. Feder, Fractals (Plenum, New York, 1988)] for fractal scaling. We discuss cancellation exponents in deterministic and stochastic settings and present two examples, that of Brownian motion and that of velocity data from fully developed turbulence (K. R. Sreenivasan, experimental data).Keywords
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