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Phase Properties of the In-day Stock Price Flow and Investments
New Phys.: Sae Mulli 2017; 67: 1503~1510
Published online December 29, 2017;
© 2017 New Physics: Sae Mulli.

Sangup PARK*

Department of Nano Advanced Materials Engineering, JeonJu University, Jeonju 55069, Korea 
Correspondence to:
Received September 29, 2017; Accepted October 20, 2017.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We focus on the informational phase of the spectrum for the in-day stock price flow. The data for the informational phase-fit functions indicated a power-law behavior. The exponential of the power-law function can be interpreted as a characteristic function of the $\alpha$-stable random variable ($\alpha$-SRV). The sum of the $\alpha$-SRV, also the $\alpha$-SRV, shows that the same information will give the same price flow. The property of $\alpha$-SRV largely depends on the biggest SRV. This show that investors are grouped into the biggest group and other groups. By introducing the information number, we classify the five distinctive information groupsas follows: 0 - domain having no information, 1 - domain having a Gaussian distribution, 2 - domain having the most information and others, 3 - domain having 3 to 5 pieces of information, 6 - domain having more than 6 big pieces of information.
PACS numbers: 02.30.Nw, 03.65.-w, 05.20.Jj
Keywords: Stable random variable, Informational phase, In-day stock, Power law 

April 2018, 68 (4)
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