Sociophysics of income distributions modeled by deformed fermi-dirac distributions

References

• Algin, A. (2008). Bose–Einstein condensation in a gas of Fibonacci oscillators. Journal of Statistical Mechanics: Theory and Experiment, 2008(10), P10009. https://doi.org/10.1088/1742-5468/2008/10/P10009
   Google Scholar
• Algin, A. (2010). Fibonacci oscillators and two-parameter generalized thermostatistics. Communications in Nonlinear Science and Numerical Simulation, 15(5), 1372. https://doi.org/10.1016/j.cnsns.2009.05.058
   Web of Science ®Google Scholar
• Algin, A., Arik, M., & Arikan, A. S. (2002). Multi-parameter deformed fermionic oscillators. The European Physical Journal C, 25(3), 487. https://doi.org/10.1007/s10052-002-1011-1
   Web of Science ®Google Scholar
• Algin, A., Arikan, A. S., & Dil, E. (2014). High temperature thermostatistics of fermionic Fibonacci oscillators with intermediate statistics. Physica A, 416, 499–517. https://doi.org/10.1016/j.physa.2014.08.073
   Web of Science ®Google Scholar
• Arik, M. (1976). Hilbert spaces of analytic functions and generalized coherent states. Journal of Mathematical Physics, 17(4), 524. https://doi.org/10.1063/1.522937
   Web of Science ®Google Scholar
• Arik, M., Coon, D. D., & Lam, Y.-M. (1975). Operator algebra of dual resonance models. Journal of Mathematical Physics, 16(9), 1776. https://doi.org/10.1063/1.522777
   Web of Science ®Google Scholar
• Arik, M., Demircan, E., Turgut, T., Ekinci, L., & Mungan, M. (1992). Fibonacci oscillators. Zeitschrift für Physik C Particles and Fields, 55(1), 89. https://doi.org/10.1007/BF01558292
   Google Scholar
• Backhouse, R. E. (2002). The penguin history of economics. Penguin Books.
   Google Scholar
• Biedenharn, L. C. (1989). The quantum group SU q(2) and a q-analogue of the boson operators. Journal of Phys. A, 22(18), L873. https://doi.org/10.1088/0305-4470/22/18/004
   Google Scholar
• Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307–327. https://doi.org/10.1016/0304-4076(86)90063-1
   Web of Science ®Google Scholar
• Bouchaud, J. P., & Cont, R. (1998). A Langevin approach to stock market fluctuations and crashes. The European Physical Journal B, 6(4), 543–550. https://doi.org/10.1007/s100510050582
   Web of Science ®Google Scholar
• Bouchaud, J. P., & Potters, M. (1997). Theories des risques financiers. Alea Saclay.
   Google Scholar
• Burda, Z., Jurkiewicz, J., & Nowak, M. A. (2003). Is Econophysics a Solid Science?, Acta Physica Polonica B 34(1), 87.pp.3–230. https://www.actaphys.uj.edu.pl/R/34/1/87/pdf
   Web of Science ®Google Scholar
• Chaichian, M., & Kulish, P. (1990). Quantum lie superalgebras and q-oscillators. Physics Letters B, 234(1–2), 72. https://doi.org/10.1016/0370-2693(90)92004-3
   Web of Science ®Google Scholar
• Chakrabarti, B. K., Chakraborti, A., Chakravarty, S. R., & Chatterjee, A. (2013). Econophysics of income and wealth distributions. Cambridge University Press.
   Google Scholar
• Chakraborti, A., & Chakrabarti, B. K. (2000). Statistical mechanics of money: How saving propensity affects its distribution. The European Physical Journal B, 17(1), 167–170. https://doi.org/10.1007/s100510070173
   Web of Science ®Google Scholar
• Chung, W. S. (1999). q-deformed SUSY algebra for suq(n)-covariant q-fermions. Phys. Lett. A, 259(6), 437. https://doi.org/10.1016/S0375-9601(99)00469-7
   Web of Science ®Google Scholar
• Dil, E. (2015). q -Deformed Einstein equations. Canadian Journal of Physics, 93(11), 1274–1278. https://doi.org/10.1139/cjp-2015-0129
   Web of Science ®Google Scholar
• Dil, E. (2017a). Can quantum black holes be (q, p)-fermions? International Journal of Modern Physics A, 32(15), 1750080. https://doi.org/10.1142/S0217751X17500804
   Web of Science ®Google Scholar
• Dil, E. (2017b). Cosmology of q -deformed dark matter and dark energy. Physics of the Dark Universe, 16, 1–13. https://doi.org/10.1016/j.dark.2017.01.005
   Web of Science ®Google Scholar
• Dil, E., & Kolay, E. (2018). Time-varying q-deformed dark energy interacts with dark matter. International Journal of Modern Physics D, 27(1), 1750177. https://doi.org/10.1142/S0218271817501772
   Web of Science ®Google Scholar
• Dragulescu, A., & Yakovenko, V. M. (2000). Statistical mechanics of money. The European Physical Journal B, 17(4), 723–729. https://doi.org/10.1007/s100510070114
   Web of Science ®Google Scholar
• Farmer, D., Shubik, M., & Smith, E., 2005 Is economics the next physical science? Physics Today (September), 58(9), 37. https://doi.org/10.1063/1.2117821
   Google Scholar
• Gibrat, R. (1931). Les Inegalites Economique. Sirely.
   Google Scholar
• Jackson, F. (1909). The Messenger of Mathematics,Messenger Math, 38, 57. Forgotten Books.
   Google Scholar
• Jing, S., & Xu, J. J. (1991). Comment on the q-deformed fermionic oscillator. Journal of Physics A: Mathematical and General, 24(L), 891. https://doi.org/10.1088/0305-4470/24/16/002
   Google Scholar
• Kakwani, N. (1980). Income Inequality and Poverty. Oxford University Press.
   Google Scholar
• Kalecki, M. (1945). On the gibrat distribution. Econometrica, 13(2), 161. https://doi.org/10.2307/1907013
   Web of Science ®Google Scholar
• Kibaroğlu, S., & Senay, M. (2019a). Effects of bosonic and fermionic q-deformation on the entropic gravity. Modern Physics Letters A, 34(31), 1950249. https://doi.org/10.1142/S0217732319502493
   Web of Science ®Google Scholar
• Kibaroğlu, S., & Senay, M., 2019b. Friedmann equations for deformed entropic gravity International Journal of Modern Physics D , 29(06)https://doi.org/10.1142/S021827182050042X
   Google Scholar
• Kurten, K. E., & Kusmartsev, F. V. (2011). Bose-Einstein distribution of money in a free-market economy. II. EPL, 93(2), 28003. https://doi.org/10.1209/0295-5075/93/28003
   Web of Science ®Google Scholar
• Levy, F. (1987). Changes in the distribution of American family incomes, 1947 to 1984. Science, 236(4804), 923. https://doi.org/10.1126/science.3576210
   PubMed Web of Science ®Google Scholar
• Macfarlane, A. J. (1989). On q-analogues of the quantum harmonic oscillator and the quantum group SU(2) q. Journal of Phys. A, 22(21), 4581. https://doi.org/10.1088/0305-4470/22/21/020
   Google Scholar
• Mandelbrot, B. (1960). The pareto-levy law and the distribution of income. International Economic Review, 1(2), 79. https://doi.org/10.2307/2525289
   Web of Science ®Google Scholar
• Mantegna, R. N., & Stanley, H. E. (2004). An introduction to econophysics. Cambridge University Press.
   Google Scholar
• Marinho, A. A., Brito, F. A., & Chesman, C. (2012). Thermal properties of a solid through q-deformed algebra, 391(12), 3424. https://doi.org/10.1016/j.physa.2012.02.012
   Google Scholar
• Mimkes, J. (2000). Society as a Many-Particle System, Journal of Thermal Analysis and Calorimetry, 60(3), 1055–1069. https://doi.org/10.1023/A:1010192615862
   Web of Science ®Google Scholar
• Mimkes, J. (2006). The complex networks in economic interactions. lecture notes in economics and mathematical systems: concepts of thermodynamics in economic growth. Springer.
   Google Scholar
• Mimkes, J. (2010a). Dynamics of Socio-Economic Systems, Calculus and Neoclassical Theory,2, 1–8. https://physik.uni-paderborn.de/fileadmin/physik/Alumni/Mimkes/putty_and_clay-calculus_and_neoclassical_theory.pdf
   Web of Science ®Google Scholar
• Mimkes, J. (2010b). Stokes integral of economic growth. Physica A, 389(8), 1665–1676. https://doi.org/10.1016/j.physa.2009.12.008
   Web of Science ®Google Scholar
• Mimkes, J. (2012). Introduction to macro-econophysics and finance. Continuum Mechanics and Thermodynamics, 24(4–6), 731–737. https://doi.org/10.1007/s00161-011-0223-8
   Web of Science ®Google Scholar
• Mimkes, J. A. (2006a). Econophysics and Sociophysics, Trends and Perspectives: A thermodynamic formulation of economics (pp. 1–34). Wiley VCH.
   Google Scholar
• Mimkes, J. A. (2006b). Econophysics and Sociophysics, Trends and Perspectives: A thermodynamic formulation of social sciences (pp. 279–310). Wiley VCH.
   Google Scholar
• Montroll, E. W. (1983). Maximum entropy formalism, fractals, scaling phenomena, and 1/f noise: A tale of tails. Journal of Statistical Physics, 32(2), 209. https://doi.org/10.1007/BF01012708
   Web of Science ®Google Scholar
• Oltean, E., 2016 arXiv:1603.08383 [q-fin.GN], Cornell University / Arxiv
   Google Scholar
• Pareto, V. (1897). Cours d’Economie Politique, By VILFREDO PARETO, Professeur à l'Université de Lausanne. Vol. I. Pp. 430. I896. https://journals.sagepub.com/doi/10.1177/000271629700900314
   Google Scholar
• Parthasarathy, R., & Viswanathan, K. S. (1991). A q-analogue of the supersymmetric oscillator and its q-superalgebra. Journal of Physics A: Mathematical and General, 24(3), 613. https://doi.org/10.1088/0305-4470/24/3/019
   Google Scholar
• Richmond, P., Mimkes, J., & Hutzler, S. (2013). Econophysics & physical economics. Oxford University Press.
   Google Scholar
• Senay, M., & Kibaroğlu, S. (2018). q-deformed Einstein equations from entropic force. International Journal of Modern Physics A, 33(36), 1850218. https://doi.org/10.1142/S0217751X18502184
   Web of Science ®Google Scholar
• Sharma, B. G., Agrawal, S., Sharma, M., Bisen, D. P., & Sharma, R., 2011 arXiv:1108.0977 [physics.gen-ph]. Cornell University / Arxiv
   Google Scholar
• Spiridonov, V. (1992). Deformed conformal and supersymmetric quantum mechanics. Modern Physics Letters A, 7(14), 1241. https://doi.org/10.1142/S0217732392003724
   Web of Science ®Google Scholar
• Strominger, A. (1993). Black hole statistics. Physical Review Letters, 71(21), 3397. https://doi.org/10.1103/PhysRevLett.71.3397
   PubMed Web of Science ®Google Scholar
• Walras, L. (1986). Elements d’economie politique pure. Lausanne.
   Google Scholar
• Wang, Y., Wu, J., & Di, Z., 2004 arXiv:cond-mat/0401025[cond-mat.soft]. Cornell University / Arxiv.
   Google Scholar
• https://data.worldbank.org/indicator?tab=all
   Google Scholar