Maximum Entropy Distributions of Scale-Invariant Processes
Author(s)Nieves, Veronica; Wang, Jingfeng; Bras, Rafael L.; Wood, Elizabeth B.
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Organizations of many variables in nature such as soil moisture and topography exhibit patterns with no dominant scales. The maximum entropy (ME) principle is proposed to show how these variables can be statistically described using their scale-invariant properties and geometric mean. The ME principle predicts with great simplicity the probability distribution of a scale-invariant process in terms of macroscopic observables. The ME principle offers a universal and unified framework for characterizing such multiscaling processes.
DepartmentMassachusetts Institute of Technology. Department of Civil and Environmental Engineering
Physical Review Letters
American Physical Society
Nieves, Veronica et al. "." Physical Review Letters 105.11 (2010): 118701. © 2010 The American Physical Society
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