@article{e312fc885c1e4f23960f00b651f871f6,
title = "Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models",
abstract = "The relationships between the Hurst exponent H and the power-law scaling exponent B in a new modification of sandpile models, i.e. the long-range connective sandpile (LRCS) models, exhibit a strong dependence upon the system size L. As L decreases, the LRCS model can demonstrate a transition from the negative to positive correlations between H- and B-values. While the negative and null correlations are associated with the fractional Gaussian noise and generalized Cauchy processes, respectively, the regime with the positive correlation between the Hurst and power-law scaling exponents may suggest an unknown, interesting class of the stochastic processes.",
keywords = "Earthquakes, Fractional Brownian motion, Generalized Cauchy process, Long-range connection, Sandpile model, Stochastic process",
author = "Chen, {Chien Chih} and Lee, {Ya Ting} and Tomohiro Hasumi and Hsu, {Han Lun}",
note = "Funding Information: C.-c.C. is grateful for research support from both the National Science Council (ROC) and the Institute of Geophysics (NCU, ROC) . T.H. would like to thank the support by the Japan Society for the Promotion Science (JSPS) and by the Earthquake Research Institute corporative research program at the University of Tokyo.",
year = "2011",
month = jan,
day = "17",
doi = "10.1016/j.physleta.2010.11.021",
language = "???core.languages.en_GB???",
volume = "375",
pages = "324--328",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
number = "3",
}