Maximum Entropy Distributions of Scale-Invariant Processes
Name
Nieves-2010-Maximum Entropy Dist.pdf
Size
616.69 KB
Format
Adobe PDF
Checksum (MD5)
11c075e2773136044b904e22f5b28dd0
Author(s)
Nieves, Veronica
Wang, Jingfeng
Bras, Rafael L.
Wood, Elizabeth B.
Date Issued
September 2010
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Nieves, Veronica et al. "." Physical Review Letters 105.11 (2010): 118701. © 2010 The American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.105.118701
