Fractal Thermodynamics, Big Data and Its 3d Visualization

Abstract

The article proposes to use fractal thermodynamics to analyze big data with fractal structure. The need for big data analysis arises in many areas of science and technology when creating databases in economics, medicine, geophysics, astronomy, particle physics and many others. This task is greatly simplified if big data has structural patterns. In this talk, we considered the case when big data forming a set A with a high degree of accuracy are multifractals. The analysis of the fractal structure of the set A was carried out on the basis of the fractal thermodynamics model. Its main methods and approaches are described. As a specific example of the set A, we consider the quantum phase spaces of the instantaneous heart rate Sq, built on the basis of big data on the RR-intervals of daily Holter monitoring of patients from the Tver Regional Clinical Hospital. It is shown that the sets Sq are fractals with a high degree of accuracy and, therefore, the method of fractal thermodynamics is quite applicable for studying their structure.