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Thermodynamic Entropy in Quantum Statistics for Stock Market Networks
Joint Authors
Wang, Jianjia
Lin, Chenyue
Wang, Yilei
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-21
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The stock market is a dynamical system composed of intricate relationships between financial entities, such as banks, corporations, and institutions.
Such a complex interactive system can be represented by the network structure.
The underlying mechanism of stock exchange establishes a time-evolving network among companies and individuals, which characterise the correlations of stock prices in the time sequential trades.
Here, we develop a novel technique in quantum statistics to analyse the financial market evolution.
We commence from heat bath analogy where the normalised Laplacian matrix plays the role of the Hamiltonian operator of the network.
The eigenvalues of the Hamiltonian specify energy states of the network.
These states are occupied by either indistinguishable bosons or fermions with corresponding Bose-Einstein and Fermi-Dirac statistics.
Using the relevant partition functions, we develop the thermodynamic entropy to explore dynamic network characterisations.
We conduct the experiments to apply this novel method to identify the significant variance in network structure during the financial crisis.
The thermodynamic entropy provides an excellent framework to represent the variations taking place in the stock market.
American Psychological Association (APA)
Wang, Jianjia& Lin, Chenyue& Wang, Yilei. 2019. Thermodynamic Entropy in Quantum Statistics for Stock Market Networks. Complexity،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1131125
Modern Language Association (MLA)
Wang, Jianjia…[et al.]. Thermodynamic Entropy in Quantum Statistics for Stock Market Networks. Complexity No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1131125
American Medical Association (AMA)
Wang, Jianjia& Lin, Chenyue& Wang, Yilei. Thermodynamic Entropy in Quantum Statistics for Stock Market Networks. Complexity. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1131125
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131125