Cite

C.F.J. Ananos, C. Tsallis, Ensemble averages and non-extensivity at the edge of chaos of one-dimensional maps, Phys. Rev. Lett. 93, 2 (2004), 020601.Search in Google Scholar

C.F.J. Ananos, F. Baldovin, C. Tsallis, Anomalous sensitivity to initial conditions and entropy production in standard maps: Non-extensive approach, Eur. Phys. J. B 46, 3 (2005), 409–417.Search in Google Scholar

A.D. Anastasiadis, M. P. de Albuquerque, M. P. de Albuquerque, D.B. Muss, A characterization of the scientific impact of Brazilian institutions, Brazilian Journal of Physics, 39 (2009), 2A, 511-518.Search in Google Scholar

A.D. Anastasiadis, M.P. de Albuquerque, M.P. de Albuquerque, D.B. Muss, Tsallis q - exponential describes the distribution of scientific citations - A new characterization of the impact, Scientometrics 83 (2010), 205218.Search in Google Scholar

J. Anderson, E.J. Kim, S. Moradi, A fractional Fokker-Planck model for anomalous diffusion, Physics of Plasmas 21, 12 (2014) 122-109.Search in Google Scholar

J.S. Andrade, Jr., G.F.T. da Silva, A.A. Moreira, F.D. Nobre, E.M.F. Curado, Thermo-statistics of overdamped motion of interacting particles, Phys. Rev. Lett. 105, 26 (2010), 260601.Search in Google Scholar

J.C. Angulo, J. Antoln, S. Lopez-Rosa, R.O. Esquivel, Jensen-Tsallis divergence and atomic dissimilarity for ionized systems in conjugated spaces, Physica A 390 (2011), 769780.Search in Google Scholar

C. Anteneodo, C. Tsallis (1998), Breakdown of the exponential sensitivity to the initial conditions: Role of the range of the interaction, Phys. Rev. Lett. 80 (1998), 5313–5316.Search in Google Scholar

R. Arevalo, A. Garcimartin, D. Maza, Anomalous diffusion in silo drainage, Eur. Phys. J. E 23 (2007), 191.Search in Google Scholar

F. Baldovin, F., A. Robledo, Non-extensive Pesin identity: Exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map, Phys. Rev. E 69 (2004), 045202(R).Search in Google Scholar

B. Bakar, U. Tirnakli, Return distributions in dog-flea model revisited, Physica A 89, 17 (2010), 3382–3386.Search in Google Scholar

I. Bediaga, E.M.F. Curado, J.M. de Miranda, A non-extensive thermodynamical equilibrium approach in e+ e → hadrons, Physica A 286 (2000), 156–163.Search in Google Scholar

S. R. Bentes, R. Menezes, Entropy: A new measure of stock market volatility?, Journal of Physics: Conference Series 394 (2012), 012033.Search in Google Scholar

A. S. Betzler, E. P. Borges, Non-extensive distributions of asteroid rotation periods and diameters, Astronomy and Astrophysics 539 (2012), A158.Search in Google Scholar

A. S. Betzler, E. P. Borges, Mass distributions of meteorites, MNRAS 493 (2020), 40584064.Search in Google Scholar

T. Bhattacharyya, J. Cleymans, P. Garg, P. Kumar, S. Mogliacci, R. Sahoo, S. Tripathy, Applications of the Tsallis Statistics in High Energy Collisions, International Workshop on Discovery Physics at the LHC, IOP Conf. Series: Journal of Physics: Conf. Series 878 (2017), 012016.Search in Google Scholar

L. Bil, D. Grech, M. Zienowicz, Asymmetry of price returns-Analysis and perspectives from a non-extensive statistical physics point of view, PLoS ONE 12 (11) (2017), e0188541.Search in Google Scholar

B.M. Boghosian, Thermodynamic description of the relaxation of two dimensional turbulence using Tsallis statistics, Phys. Rev. E 53 (1996), 47-54.Search in Google Scholar

E.P. Borges, C. Tsallis, G.F.J. Ananos, P.M.C. de Oliveira, Nonequilibrium probabilistic dynamics at the logistic map edge of chaos, Phys. Rev. Lett. 89 (2002), 254103.Search in Google Scholar

E.P. Borges, A.S. Betzler, Non-Boltzmannian distributions observed in small bodies of the Solar System, Rendiconti Accademia Nazionale delle Scienze detta dei XL, Memorie e Rendiconti di Chimica, Fisica, Matematica e Scienze Naturali 138 XLIV (2020), 1-8.Search in Google Scholar

L. Borland, Long-range memory and non-extensivity in financial markets, Europhys. News 36, 6 (2005), 228–231.Search in Google Scholar

L. Borland, J.-P. Bouchaud (2004), A non-Gaussian option pricing model with skew, Quant. Finance 7, 6 (2004), 703.Search in Google Scholar

S. Bouzat, H. S. Wio, Current and efficiency enhancement in Brownian motors driven by non Gaussian noises, Eur. Phys. J. B 41 (2004), 97105.Search in Google Scholar

S. Brito, L. R. da Silva, C. Tsallis, Role of dimensionality in complex networks, Sci. Rep. 6 (2016), 27992.Search in Google Scholar

L. F. Burlaga, N. F. Ness, Magnetic Field Strength Fluctuations and the q-Triplet in the Heliosheat: Voyager 2 Observations from 91.0 to 94.2 AU at Latitude 30°S, The Astrophysical Journal 765 (2013), 35.Search in Google Scholar

S. Bwanakare, Non-Extensive Entropy Econometrics: New Statistical Features of Constant Elasticity of Substitution-Related Models, Entropy 16 (2014), 2713-2728.Search in Google Scholar

L. Calderon, M. T. Martin, A. Plastino, M. C. Rocca, V. Vampa, Relativistic treatment of Verlinde’s emergent force in Tsallis’ statistics, Modern Physics Letters A 34 (10) (2019), 1950075.Search in Google Scholar

F. Caruso, A. Pluchino, V. Latora, S. Vinciguerra, A. Rapisarda (2007), Analysis of selforganized criticality in the Olami-Feder-Christensen model and in real earthquakes, Phys. Rev. E 7, 5 (2007), 055101(R).Search in Google Scholar

A. Celikoglu, U. Tirnakli, S.M. Duarte Queiros, Analysis of return distributions in the coherent noise model, Phys. Rev. E 82, 2 (2010), 021124.Search in Google Scholar

A. Chao, L. Jost, Estimating diversity and entropy profiles via discovery rates of new species, Methods in Ecology and Evolution 6 (2015), 873-882.Search in Google Scholar

J. Chen, G. Li, Tsallis Wavelet Entropy and Its Application in Power Signal Analysis, Entropy 16 (6) (2014), 3009-3025.Search in Google Scholar

G. Cigdem Yalcin, P. Rabassa, C. Beck, Extreme event statistics of daily rainfall: dynamical systems approach, J. Phys. A: Math. Theor. 49 (2016), 154001.Search in Google Scholar

R.A. Costa-Junior, R.R. Rosa, A.P. Mattedi, F.M. Ramos, Gradient pattern analysis of extended convection-diffusion, Physica A: Statistical Mechanics and its Applications 344, 3-4 (2004), 447-455.Search in Google Scholar

K.E. Daniels, C. Beck, E. Bodenschatz, Defect turbulence and generalized statistical mechanics, Physica D 193 (2004), 208.Search in Google Scholar

J.S. De la Cruz-García, J. Bory-Reyes, A. Ramirez-Arellano, A Two-Parameter Fractional Tsallis Decision Tree, Entropy 24 (2022), 572.Search in Google Scholar

J. Deng, H. Chen, C. Chang, Z. Yang, A superior random number generator for visiting distribution in GSA, International Journal of Computer Mathematics 81, 1 (2004), 103-120.Search in Google Scholar

J. Deng, H. Chen, C. Chang, Z. Yang, An exact random number generator for visiting distribution in GSA, International Journal of Simulation 6 (2005), 54-61.Search in Google Scholar

R.G. DeVoe, Power-law distributions for a trapped ion interacting with a classical buffer gas, Phys. Rev. Lett. 102 (2009), 063001.Search in Google Scholar

P. Douglas, S. Bergamini, F. Renzoni, Tunable Tsallis distributions in dissipative optical lattices, Phys. Rev. Lett. 96, 1 (2006), 110601.Search in Google Scholar

S. M. Duarte Queiros, Generalized cascades, Brazilian Journal of Physics 39, 2A (2009), 448-452.Search in Google Scholar

J.C. Ferrero, A statistical analysis of stratification and inequity in the income distribution, Eur. Phys. J. B 80, 2 (2011), 255–261.Search in Google Scholar

G.L. Ferri, M.F. Reynoso Savio, A. Plastino, Tsallis q-triplet and the ozone layer, Physica A 389, 9 (2010), 1829–1833.Search in Google Scholar

D. B. de Freitas, J. R. De Medeiros, A non-extensive approach to the stellar rotational evolution I. F - and G-type stars, MNRAS 433 (2013), 1789-1795.Search in Google Scholar

M.A. Fuentes, Y. Sato, C. Tsallis, Sensitivity to initial conditions, entropy production, and escape rate at the onset of chaos, Phys. Lett. A 375, 33 (2011), 2988-2991.Search in Google Scholar

S. Furuichi, Some results on Tsallis entropies in classical system, Research Inst. Math. Analysis 1561 (2007), 152-165.Search in Google Scholar

S. Furuichi, On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics, J. Math. Phys. 50 (2009), 013303.Search in Google Scholar

M. Hameeda, B. Pourhassan, M. C .Rocca, M. Faizal, Finite Tsallis Gravitational Partition Function for a System of Galaxies, Gen. Relativ. Gravit. 53 (2021), 41.Search in Google Scholar

M. Hameeda, Q. Gani, B. Pourhassan, M. C. Rocca, Boltzmann and Tsallis statistical approaches to study Quantum corrections at large distances and clustering of galaxies, International Journal of Modern Physics A 37 (2022), 2250116.Search in Google Scholar

I.-E. Hirica, C.-L. Pripoae, G.-T. Pripoae, V. Preda, Weighted Relative Group Entropies and Associated Fisher Metrics, Entropy 24 (2022), 1, 120.Search in Google Scholar

I.-E. Hirica, C.-L. Pripoae, G.-T. Pripoae, V. Preda, Lie Symmetries of the Nonlinear FokkerPlanck Equation Based on Weighted Kaniadakis Entropy, Mathematics 10 (2022), 2776.Search in Google Scholar

A. Hussein, T. Bhattacharyya, Analytical Calculations of the Quantum Tsallis Thermodynamic Variables, Physics 4 (2022), 800-811.Search in Google Scholar

M. Ishihara, Chiral phase transitions in the linear sigma model in the Tsallis non-extensive statistics, International Journal of Modern Physics E 25 (2016), 09, 1650066.Search in Google Scholar

J. Jersblad, H. Ellmann, K. Stochkel, A. Kastberg, L. Sanchez-Palencia, Robin. Kaiser, Non-Gaussian Velocity Distributions in Optical Lattices Phys. Rev. A 69 (2003), 013410.Search in Google Scholar

P. Jizba, J. Korbel, On q-non-extensive statistics with non-Tsallisian entropy, Physica A 444 (2016), 808-827.Search in Google Scholar

D. Kalamatianos, A. D. Anastasiadis, P. Liatsis, A non-extensive method for spectroscopic data analysis with artificial neural networks, Brazilian Journal of Physics 39 (2009), 2A, 488-494.Search in Google Scholar

G. Kaniadakis, Statistical mechanics in the context of special relativity, Physical Review E. 66 (5) (2002), 056125.Search in Google Scholar

J.I. Kapusta, Perspective on Tsallis Statistics for Nuclear and Particle Physics, arXiv:2106.06824v2 [hep-ph] 8 Oct 2021Search in Google Scholar

P. K. Khandai, P. Sett, P. Shukla, V. Singh, Hadron spectra in p + p collisions at RHIC and LHC energies, International Journal of Modern Physics A 26 (2013), 1350066.Search in Google Scholar

P. K. Khandai, P. Shukla, A Thermal Approach to RHIC and LHC, Proc. DAE-BRNS Symp. on Nucl. Phys. 60 (2015), 788-789.Search in Google Scholar

N.R. Khusnutdinov, R.M. Yulmetyev, N.A. Emelyanova, Dynamic Tsallis Entropy for Simple Model Systems, Acta Physica Polonica 109 (2006), 2, 199-217.Search in Google Scholar

I.T. Koponen, Systemic States of Spreading Activation in Describing Associative Knowledge Networks: From Key Items to Relative Entropy Based Comparisons, Systems 9 (2021), 1, 1.Search in Google Scholar

M. Leo, R.A. Leo, P. Tempesta, Thermostatistics in the neighborhood of the π-mode solution for the Fermi-Pasta-Ulam β system: From weak to strong chaos, J. Stat. Mech. (2010), P04021.Search in Google Scholar

N. Leonenko, L. Pronzato, V. Savani, A class of Rényi information estimators for multidimensional densities, The Annals of Statistics 36 (2008), 2153-2182.Search in Google Scholar

J. V. T. de Lima, S. L. E. F. da Silva, J. M. de Araujo, G. Corso, G. Z. dos Santos Lima, Generalized statistics: applications to data inverse problems with outlier-resistance, https://arxiv.org/abs/2201.12173 (2022).Search in Google Scholar

B. Liu, J. Goree, Superdiffusion and non-Gaussian statistics in a driven-dissipative 2D dusty plasma, Phys. Rev. Lett. 100, 5 (2008), 055003.Search in Google Scholar

J. Ludescher, C. Tsallis, A. Bunde, Universal behaviour of interoccurrence times between losses in financial markets: An analytical description, Europhys. Lett. 95, 6 (2011), 68002.Search in Google Scholar

E. Lutz, Anomalous diffusion and Tsallis statistics in an optical lattice, Phys. Rev. A 67, (2003), 051402(R).Search in Google Scholar

M.L. Lyra, C. Tsallis (1998), Non-extensivity and multifractality in low-dimensional dissipative systems, Phys. Rev. Lett. 80, 1 (1998), 53–56.Search in Google Scholar

A. C. N. de Magalhaes, C. Tsallis, On the critical frontiers of Potts ferromagnets, Journal de Physique 42 (1981), (11), 1515-1523.Search in Google Scholar

C.G. Martin, Fire, Ice, and Epic Entropy: The Physics and Metaphysics of Milton’s Reformed Chaos, Milton Studies 35 (1997), 73-113.Search in Google Scholar

A.P. Mattedi, F.M. Ramos, R.R. Rosa, R.N. Mantegna, Value-at-risk and Tsallis statistics: Risk analysis of the aerospace sector, Physica A 344, 3-4 (2004), 554–561.Search in Google Scholar

E. Megías, V.S. Timoíteo, A. Gammal, A. Deppman, Bose-Einstein condensation and non-extensive statistics for finite systems, Physica A 585 (2022), 126440.Search in Google Scholar

L. Montangie, F. Montani, Higher-order correlations in common input shapes the output spiking activity of a neural population, Physica A: Stat. Mech. and Appl. 471 (2017), 845-861.Search in Google Scholar

L.G. Moyano, C. Anteneodo, Diffusive anomalies in a long-range Hamiltonian system, Phys. Rev. E 74 (2006), 021-118.Search in Google Scholar

S. Nakayama, q-Generalized logit route choice and network equilibrium model, Procedia - Social and Behavioral Sciences 80 (2013), 753-763.Search in Google Scholar

S. Nakayama, M. Chikaraishi, A unified closed-form expression of logit and weibit and its application to a transportation network equilibrium assignment, Transportation Research Procedia 7 (2015), 59-74.Search in Google Scholar

R.K. Niven, Constrained Forms of the Tsallis Entropy Function and Local Equilibria (2005), http://arxiv.org/abs/cond-mat/0503263v1.Search in Google Scholar

D. S. de Oliveira, R. M. O. Galvao, Non-Extensive Transport Equations in Magnetized Plasmas, arXiv:1806.01247v3 [physics.plasm-ph] 6 Jun 2018Search in Google Scholar

A.G. Patriota, A q-Exponential regression model, Sankhyā: The Indian Journal of Statistics, B 74 (2012), 149-170.Search in Google Scholar

G. P. Pavlos, M. N. Xenakis, L. P. Karakatsanis, A. C. Iliopoulos, A. E. G. Pavlos, D. V. Sarafopoulos, Universality of Tsallis Non-Extensive Statistics and Fractal Dynamics for Complex Systems, Chaotic Model. Simul. (CMSIM) 2 (2012), 395-447.Search in Google Scholar

G. P. Pavlos, Complexity theory, time series analysis and Tsallis q-entropy principle part one: theoretical aspects, J. Mech. Behav. Mater. 26 (2017), 139-180.Search in Google Scholar

R.M. Pickup, R. Cywinski, C. Pappas, B. Farago, P. Fouquet, Generalized spin glass relaxation, Phys. Rev. Lett. 102, 9 (2009), 097202.Search in Google Scholar

A. Plastino, O.A. Rosso, Entropy and statistical complexity in brain activity, Europhysics News 36 (2005), 6, 224-228.Search in Google Scholar

A. Plastino, M.C. Rocca, Possible divergences in Tsallis thermostatistics, EPL 104 (2013), 60003.Search in Google Scholar

A.R. Plastino, M.C. Rocca, On the entropic derivation of the r-2 Newtonian gravity force, Physica A: Statistical Mechanics and its Applications 505 (2017), 190-195.Search in Google Scholar

A. Plastino, M.C. Rocca, On the entropic derivation of the r-2 Newtonian gravity force, Physica A 505 (2018), 190-195.Search in Google Scholar

A. Plastino, M.C. Rocca, Quantum statistical treatment of Verlindes conjecture in a Tsallis framework, Physica A 517 (2019), 341-348.Search in Google Scholar

A. Plastino, M.C. Rocca, F. Pennini, Useful Dual Functional of Entropic Information Measures, Entropy 22 (2020), 491.Search in Google Scholar

M.E. Popović, Research in Entropy Wonderland: A Review of the Entropy Concept, Thermal Science 22, No. 2 (2018), 1163-1178.Search in Google Scholar

D.B. Pougaza, A. Mohammad-Djafari, New copulas obtained by maximizing Tsallis or Rényi entropies, AIP Conference Proceedings 1443, 238 (2012), 238.Search in Google Scholar

C.-L. Pripoae, I.-E. Hirica, G.-T. Pripoae, V. Preda, Lie symmetries of the nonlinear Fokker-Planck equation based on weighted Tsallis entropy, Carpathian J. Math. 38 (2022), 597-617.Search in Google Scholar

L. Rebollo-Neira, A. Plastino, J. Fernandez-Rubio, On the q=12$$q = {1 \over 2}$$ non-extensive maximum entropy distribution, Physica A 258 (1998), 458-465.Search in Google Scholar

M. Ribeiro, T. Henriques, L. Castro, A. Souto, L. Antunes, C. Costa-Santos, A. Teixeira, The Entropy Universe, Entropy 23 (2021), 222.Search in Google Scholar

L.L. Sales, F.C. Carvalho, E.P. Bento, H.T. C.M. Souza, Non-Gaussian effects of the Sahas ionization in the early universe, Eur. Phys. J. C 82 (2022), 54.Search in Google Scholar

W.M. Saslow, A History of Thermodynamics: The Missing Manual, Entropy 22 (2020), 77.Search in Google Scholar

A.M. Scarfone, T. Wada, Lie symmetries and related group-invariant solutions of a nonlinear Fokker-Planck equation based on the Sharma-Taneja-Mittal entropy, Braz. J. Phys. 39 (2009), 2A, 475-482.Search in Google Scholar

C. R. Shalizi, Maximum Likelihood Estimation for q-Exponential (Tsallis) Distributions, arXiv:math.ST/0701854v2 1 Feb 2007Search in Google Scholar

M. Shao, L. Yi, Z. Tang, H. Chen, C. Li, Z. Xu, Examination of the species and beam energy dependence of particle spectra using Tsallis statistics, J. Phys. G 37, 8 (2010), 085104.Search in Google Scholar

B.D. Sharma, D.P. Mittal, New non-additive measures of entropy for discrete probability distributions, J. Math. Sci. 10 (1975), 28-40.Search in Google Scholar

G.B. da Silva, R.V. Ramos, The Lambert-Tsallis Wq function, Physica A 525 (2019), 164-170.Search in Google Scholar

A. Singhal, D.K. Sharma, Keyword Extraction Methodologies Based on Rényi Entropy and Tsallis Relative Entropy, Journal of Engg. Research EMSME Special Issue (2021), 122-132.Search in Google Scholar

W. Sinkala, Symmetry reductions and invariant solutions of a nonlinear Fokker-Planck equation based on the Sharma-Taneja-Mittal entropy, Internat. J. Appl. Math. 33 (2020), 805-822.Search in Google Scholar

O. Sotolongo-Costa, A.H. Rodriguez, G.J. Rodgers, Tsallis Entropy and the transition to scaling in fragmentation, Entropy 2 (2000), 172-177.Search in Google Scholar

O. Sotolongo-Grau, D. Rodriguez-Perez, J.C. Antoranz, O. Sotolongo-Costa, Tissue radiation response with maximum Tsallis entropy, Phys. Rev. Lett. 105, 15 (2010), 158105.Search in Google Scholar

D. Styer, Entropy as Disorder: History of a Misconception, The Physics Teacher 57 (2019), 454-458.Search in Google Scholar

H. Suyari, Mathematical structures derived from the q-multinomial coefficient in Tsallis statistics, Physica A: 368 (1) (2006), 63-82.Search in Google Scholar

H. Suyari, H. Matsuzoe, A. M. Scarfone, Advantages of q-logarithm representation over q-exponential representation from the sense of scale and shift on nonlinear systems, Eur. Phys. J. Spec. Top. 229 (2020), 773-785.Search in Google Scholar

T. Takahashi, H. Oono, M.H.B. Radford, Empirical estimation of consistency parameter in intertemporal choice based on Tsallis’ statistics, Physica A 381 (2007), 338-342.Search in Google Scholar

F.A. Tamarit, S.A. Cannas, C. Tsallis, Sensitivity to initial conditions in the Bak-Sneppen model of biological evolution, Eur. Phys. J. B 1, 4 (1998), 545–548.Search in Google Scholar

I.J. Taneja, A study of generalized measures in information theory, Ph. D. Thesis. University of Delhi, 1975.Search in Google Scholar

U. Tirnakli, C. Beck, C. Tsallis, Central limit behavior of deterministic dynamical systems, Phys. Rev. E 75, 4 (2007), 040106(R).Search in Google Scholar

U. Tirnakli, C. Tsallis, C. Beck, Closer look at time averages of the logistic map at the edge of chaos, Phys. Rev. E 79, 5 (2009), 056209.Search in Google Scholar

C. Tsallis, Possible generalization of Boltzmann-Gibbs statistics, Journal of Statistical Physics 52 (12) (1988), 479-487.Search in Google Scholar

C. Tsallis, Non-extensive Statistics: Theoretical, Experimental and Computational Evidences and Connections, Brazilian Journal of Physics 29 (1999), 1-35.Search in Google Scholar

C. Tsallis, C. Anteneodo, L. Borland, R. Osorio, Non-extensive statistical mechanics and economics, Physica A 324 (2003), 89-100.Search in Google Scholar

C. Tsallis, M. Gell-Mann, Y. Sato, Asymptotically scale-invariant occupancy of phase space makes the entropy Sq extensive, Proc. Natl. Acad. Sc. USA 102, (2005), 15377-15382.Search in Google Scholar

C. Tsallis, Non-additive entropy and non-extensive statistical mechanics - An overview after 20 years, Brazilian J. Phys. 39 (2009), 2A, 337-356.Search in Google Scholar

C. Tsallis, Introduction to Nonextensive Statistical Mechanics, Springer Verlag, 2009.Search in Google Scholar

C. Tsallis, The Non-additive Entropy Sq and its Applications in Physics and Elsewhere: Some Remarks, Entropy 13 (2011), 1765-1804.Search in Google Scholar

C. Tsallis, Non-additive entropy Sq and non-extensive statistical mechanics Applications in geophysics and elsewhere, Acta Geophysica 60 (3) (2012), 502-525.Search in Google Scholar

C. Tsallis, Generalization of the possible algebraic basis of q-triplets, Eur. Phys. J. Special Topics 226 (2017), 455-466.Search in Google Scholar

C. Tsallis, Beyond Boltzmann-Gibbs-Shannon in Physics and Elsewhere, Entropy 21 (2019), 696.Search in Google Scholar

C. Tsallis, D.J. Bukman, Anomalous diffusion in the presence of external forces: Exact time-dependent solutions and their thermostatistical basis, Phys. Rev. E 54 (1996), 2197-2200.Search in Google Scholar

S. Umarov, C. Tsallis, S. Steinberg, On a q-Central Limit Theorem Consistent with Non-extensive Statistical Mechanics, Milan J. Math. 76 (2008), 307-328.Search in Google Scholar

S. Umarov, C. Tsallis, Mathematical Foundations of Non-extensive Statistical Mechanics, World Scientific, New Jersey, USA, 2022.Search in Google Scholar

S. Thurner, F. Kyriakopoulos, C. Tsallis, Unified Model for Network Dynamics Exhibiting Non-extensive Statistics, Phys. Rev. E 76 (2007), 036111.Search in Google Scholar

A. Upadhyaya, J.P. Rieu, J.A. Glazier, Y. Sawada, Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates, Physica A 293 (2001), 549.Search in Google Scholar

F. Vallianatos, On the statistical physics of rockfalls: A non-extensive view, EPL A 101 (2013), 10007.Search in Google Scholar

F. Vallianatos, G. Michas, G. Papadakis, A. Tzanis, Evidence of non-extensivity in the seismicity observed during the 2011-2012 unrest at the Santorini volcanic complex, Greece, Nat. Hazards Earth Syst. Sci. 13 (2013), 177-185.Search in Google Scholar

E. Verlinde, On the Origin of Gravity and the Laws of Newton, JHEP 04 (2011) 29.Search in Google Scholar

V. Vilasini, R. Colbeck, Analysing causal structures using Tsallis entropies, Physical Review A 100 (2019), 062108.Search in Google Scholar

T. Wada, A.M. Scarfone, On the non-linear Fokker-Planck equation associated with k-entropy, AIP Conference Proceedings 965 (2007), 177-180.Search in Google Scholar

G. Wilk, Z. Wlodarczyk, Imprints of non-extensivity in multiparticle production, in T. Kodama, C. E. Aguiar, H. T. Elze, F. Grassi, Y. Hama, G. Krein (eds.), Relativistic Aspects of Nuclear Physics, World Scientific Publ., Singapore, 2001, 78-96.Search in Google Scholar

G. Wolschin, Testing non-extensive statistics in relativistic heavy-ion collisions, EPJ Web of Conferences 206 (2019), 04002.Search in Google Scholar

M. Yasuda, Quantitative Analyses and Development of a q-Incrementation Algorithm for FCM with Tsallis Entropy Maximization, Advances in Fuzzy Systems 2015 (2015), Article ID 404510.Search in Google Scholar

M. Yasuda, Determination of Multiple q Values for Tsallis-Entropy-Maximized-FCM, ICNC-FSKD (2019), 771-780.Search in Google Scholar

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