4.6 Article

Relationship of second-order lacunarity, Hurst exponent, Brownian motion, and pattern organization

Journal

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 328, Issue 3-4, Pages 315-321

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0378-4371(03)00524-7

Keywords

lacunarity; Hurst; fractional Brownian motion

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Second-order lacunarity metrics are related to the Hurst exponent H. Fractional Brownian motion with H = 0.5 is used as a benchmark for quantifying patterns. Local versus global correlation, and implications for pattern organization, are discussed. (C) 2003 Elsevier B.V. All rights reserved.

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