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A possible deformed algebra and calculus inspired in nonextensive thermostatistics

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Cited by:

  1. Eugenio Megías & Jose A. S. Lima & Airton Deppman, 2022. "Transport Equation for Small Systems and Nonadditive Entropy," Mathematics, MDPI, vol. 10(10), pages 1-9, May.
  2. Nelson, Kenric P. & Umarov, Sabir R. & Kon, Mark A., 2017. "On the average uncertainty for systems with nonlinear coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 30-43.
  3. S. M. Duarte Queiros, 2005. "On non-Gaussianity and dependence in financial time series: a nonextensive approach," Quantitative Finance, Taylor & Francis Journals, vol. 5(5), pages 475-487.
  4. Balankin, Alexander S. & Mena, Baltasar, 2023. "Vector differential operators in a fractional dimensional space, on fractals, and in fractal continua," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
  5. Nakamura, Gilberto M. & de Martini, Alexandre H. & Martinez, Alexandre S., 2019. "Extension of inverse q-Fourier transform via conformal mapping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 106-111.
  6. Sotolongo-Grau, O. & Rodriguez-Perez, D. & Sotolongo-Costa, O. & Antoranz, J.C., 2013. "Tsallis entropy approach to radiotherapy treatments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2007-2015.
  7. Marco A. S. Trindade & Sergio Floquet & Lourival M. S. Filho, 2018. "Portfolio Theory, Information Theory and Tsallis Statistics," Papers 1811.07237, arXiv.org, revised Oct 2019.
  8. Dai, Yimei & He, Jiayi & Wu, Yue & Chen, Shijian & Shang, Pengjian, 2019. "Generalized entropy plane based on permutation entropy and distribution entropy analysis for complex time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 217-231.
  9. Silva, Luiz Eduardo Virgilio & Cabella, Brenno Caetano Troca & Neves, Ubiraci Pereira da Costa & Murta Junior, Luiz Otavio, 2015. "Multiscale entropy-based methods for heart rate variability complexity analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 143-152.
  10. Nelson, Kenric P. & Kon, Mark A. & Umarov, Sabir R., 2019. "Use of the geometric mean as a statistic for the scale of the coupled Gaussian distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 248-257.
  11. da Silva, Sérgio Luiz Eduardo Ferreira, 2021. "Newton’s cooling law in generalised statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
  12. Megías, E. & Timóteo, V.S. & Gammal, A. & Deppman, A., 2022. "Bose–Einstein condensation and non-extensive statistics for finite systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
  13. Goulart, A.G. & Lazo, M.J. & Suarez, J.M.S., 2020. "A deformed derivative model for turbulent diffusion of contaminants in the atmosphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
  14. Kin Keung Lai & Shashi Kant Mishra & Ravina Sharma & Manjari Sharma & Bhagwat Ram, 2023. "A Modified q-BFGS Algorithm for Unconstrained Optimization," Mathematics, MDPI, vol. 11(6), pages 1-24, March.
  15. Miguel A Ré & Rajeev K Azad, 2014. "Generalization of Entropy Based Divergence Measures for Symbolic Sequence Analysis," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-11, April.
  16. Pourali, B. & Lari, B. & Hassanabadi, H., 2021. "An oscillator with position-dependent mass exposed to a thermal bosonic bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
  17. Trindade, Marco A.S. & Floquet, Sergio & Filho, Lourival M. Silva, 2020. "Portfolio theory, information theory and Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
  18. Ilić, Velimir M. & Stanković, Miomir S., 2014. "A unified characterization of generalized information and certainty measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 229-239.
  19. Suyari, Hiroki, 2006. "Mathematical structures derived from the q-multinomial coefficient in Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 63-82.
  20. Puertas-Centeno, D., 2019. "Differential-escort transformations and the monotonicity of the LMC-Rényi complexity measure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 177-189.
  21. Rosa, Wanderson & Weberszpil, José, 2018. "Dual conformable derivative: Definition, simple properties and perspectives for applications," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 137-141.
  22. Nelson, Kenric P., 2015. "A definition of the coupled-product for multivariate coupled-exponentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 187-192.
  23. Chikaraishi, Makoto & Nakayama, Shoichiro, 2016. "Discrete choice models with q-product random utilities," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 576-595.
  24. Tinessa, Fiore, 2021. "Closed-form random utility models with mixture distributions of random utilities: Exploring finite mixtures of qGEV models," Transportation Research Part B: Methodological, Elsevier, vol. 146(C), pages 262-288.
  25. Suyari, Hiroki & Wada, Tatsuaki, 2008. "Multiplicative duality, q-triplet and (μ,ν,q)-relation derived from the one-to-one correspondence between the (μ,ν)-multinomial coefficient and Tsallis entropy Sq," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 71-83.
  26. Shang, Binbin & Shang, Pengjian, 2020. "Binary indices of time series complexity measures and entropy plane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
  27. Oikonomou, Thomas & Tirnakli, Ugur, 2009. "Generalized entropic structures and non-generality of Jaynes’ Formalism," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3027-3034.
  28. Martinez, Alexandre Souto & González, Rodrigo Silva & Terçariol, César Augusto Sangaletti, 2008. "Continuous growth models in terms of generalized logarithm and exponential functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5679-5687.
  29. Dukkipati, Ambedkar & Murty, M. Narasimha & Bhatnagar, Shalabh, 2006. "Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 124-138.
  30. Oikonomou, Th., 2007. "Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 119-134.
  31. Gomez, Ignacio S. & Portesi, Mariela & Borges, Ernesto P., 2020. "Universality classes for the Fisher metric derived from relative group entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
  32. Duarte Queirós, Sílvio M., 2012. "On generalisations of the log-Normal distribution by means of a new product definition in the Kapteyn process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(13), pages 3594-3606.
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