Global correlation matrix spectra of the surfacetemperature of the Oceans from Random MatrixTheory to Poisson fluctuations
Abstract
In this work we use the random matrix theory (RMT) to correctly describethe behavior of spectral statistical properties of the sea surface temperatureof oceans. This oceanographic variable plays an important role in theglobalclimate system. The data were obtained from National Oceanic and Atmospheric Administration (NOAA) and delimited for the period 1982 to 2016.The results show that oceanographic systems presented specific $\beta$ values thatcan be used to classify each ocean according to its correlation behavior. Thenearestneighbors spacing of correlation matrix for north, central and south ofthe three oceans get close to a RMT distribution. However, the regions delimited in the Antarctic pole exhibited the distribution of the nearestneighborsspacing well described by the Poisson model, which shows astatistical changeof RMT to Poisson fluctuations.
 Publication:

arXiv eprints
 Pub Date:
 June 2020
 arXiv:
 arXiv:2006.16001
 Bibcode:
 2020arXiv200616001S
 Keywords:

 Physics  Atmospheric and Oceanic Physics;
 Nonlinear Sciences  Chaotic Dynamics;
 Physics  Applied Physics;
 Physics  Data Analysis;
 Statistics and Probability
 EPrint:
 Accepted for publication in Physics Letters A