Boltzmann–Gibbs distribution of fortune and broken time reversible symmetry in econodynamics |
| |
| Affiliation: | 1. Key Laboratory of Systems Biomedicine, Ministry of Education, Shanghai Center for Systems Biomedicine Shanghai Jiao Tong University, Shanghai 200240, China;2. GeneMath, 5525 27th Ave. N.E., Seattle, WA 98105, USA;3. Department of Computer Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;4. School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. Dept. de Análisis Matemático, Universitat de Valencia, Dr. Moliner 50, 46100, Burjassot (Valencia), Spain;2. Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania;3. Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, Móstoles, 28933, Madrid, Spain;1. State Key Laboratory of Intelligent Technology and Systems, Tsinghua National Laboratory for Information Science and Technology, Department of Electronic Engineering, Tsinghua University, Beijing 100084, PR China;2. Department of Statistical Science, University College London, London WC1E 6BT, UK;1. Humboldt-Universität zu Berlin, Germany;2. Université Paris-Dauphine, France;1. Faculty of Computer and Software Engineering, Jiangsu Provincial Key Laboratory for Advanced Manufacturing Technology, Huaiyin Institute of Technology, Huai’an, PR China;2. Key Laboratory of Image and Video Understanding for Social Safety (Nanjing University of Science and Technology), Nanjing, PR China;3. School of Information Technology, Nanjing Forestry University, Nanjing, PR China;1. State Key Lab of Software Engineering, School of Computer, Wuhan University, Wuhan 430072, China;2. Department of Computer Science, University of Texas at Dallas, Richardson, TX 75083, USA |
| |
| Abstract: | Within the framework of stochastic differential equations it is demonstrated that the existence of Boltzmann–Gibbs type distribution in economy is independent of the time reversal symmetry in econodynamics. Both power law and exponential distributions can be accommodated naturally. The demonstration is based on a mathematical structure discovered during a study in gene regulatory network dynamics. Further possible analogy between equilibrium economy and thermodynamics is explored, suggesting that statistical physics methods can indeed play an important role in the study of complex systems. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
