Edit Profile Tsallis, Constantino Compute Distance To: Compute Author ID: tsallis.constantino Published as: Tsallis, C.; Tsallis, Constantino; Tsallis, Costantino Documents Indexed: 106 Publications since 1986, including 3 Books all top 5 Co-Authors 23 single-authored 6 Plastino, Angel Ricardo 6 Ruiz, Guiomar 5 Jauregui, Max 5 Umarov, Sabir R. 4 Baldovin, Fulvio 4 Borges, Ernesto P. 4 Rapisarda, Andrea 4 Sicuro, Gabriele 4 Tirnakli, Ugur 3 Borland, Lisa 3 Curado, Evaldo M. F. 3 Duarte Queirós, Silvio M. 3 Gell-Mann, Murray 3 Maynard, Roger 3 Rodriguez, Arturo A. 3 Sato, Yuzuru 2 Anteneodo, Celia 2 Bagchi, Debarshee 2 Bountis, Tassos C. 2 Brigatti, Edgardo 2 Costa, Uriel M. S. 2 da Silva, Luciano R. 2 de Souza, André M. C. 2 Latora, Vito 2 Plastino, Angel Luis 2 Prato, Domingo P. 2 Schwämmle, Veit 2 Souza, André M. C. 2 Steinberg, Stanly L. 2 Tempesta, Piergiulio 1 Abe, Sumiyoshi 1 Alcaraz, Francisco Castilho 1 Álvarez-Estrada, Ramón F. 1 Ananos, G. F. J. 1 Andrade, Roberto Fernandes Silva 1 Assis, Vladimir R. V. 1 Baranger, Michel 1 Bernui, Armando 1 Brito, Samurai 1 Campa, Alessandro 1 Caruso, Filippo 1 Cerbino, R. 1 Cetin, Kivanc 1 Christodoulidi, Helen 1 Cinardi, Nicola 1 Cirto, Leonardo J. L. 1 de Magalhães, Aglaé C. N. 1 de Sousa Vieira, M. C. 1 de Souza, J. F. O. 1 Deutscher, Guy 1 Drossos, Lambros 1 Essam, John W. 1 Fuentes, Miguel Angel 1 Giansanti, Andrea 1 Gomes, S. R. jun. 1 Grigolini, Paolo 1 Herrmann, Hans Gerhard 1 Hilhorst, Hendrik Jan 1 Lamberti, Pedro W. 1 Levy, Silvio V. F. 1 Mariz, A. M. 1 Marsh, John A. 1 Mendes, Renio S. 1 Mirando, José G. V. 1 Moroni, Daniele 1 Moyano, Luis G. 1 Nelson, Kenric P. 1 Nobre, Fernando D. 1 Nunes, Thiago C. 1 Osorio, Roberto R. 1 Pierobon, P. 1 Quarati, Piero 1 Rajagopal, A. K. 1 Rapčan, Peter 1 Rodríguez, Antonio Jesús 1 Salinas, Silvio R. A. 1 Schulze, Bruno 1 Stariolo, Daniel A. 1 Swinney, Harry L. 1 Thistleton, William 1 van Wijland, Frédéric 1 Villela, Thyrso 1 West, Bruce J. 1 Zheng, WeiMin all top 5 Serials 20 Physics Letters. A 13 Journal of Mathematical Physics 8 Physica A 7 Journal of Statistical Mechanics: Theory and Experiment 6 Chaos, Solitons and Fractals 5 Journal of Physics A: Mathematical and General 4 Journal of Statistical Physics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 The European Physical Journal B. Condensed Matter and Complex Systems 2 Physica D 2 Annals of Physics 2 Fractals 2 Milan Journal of Mathematics 1 Astrophysics and Space Science 1 IEEE Transactions on Information Theory 1 Anais da Academia Brasileira de Ciências 1 Journal of Computational and Applied Mathematics 1 REBRAPE 1 Proceedings of the National Academy of Sciences of the United States of America 1 Continuum Mechanics and Thermodynamics 1 International Journal of Modern Physics C 1 Physical Review Letters 1 Acta Physica Polonica B 1 Entropy 1 AIP Conference Proceedings 1 Journal of Physics A: Mathematical and Theoretical 1 Nonlinear Phenomena in Complex Systems (Minsk) 1 Axioms all top 5 Fields 74 Statistical mechanics, structure of matter (82-XX) 24 Probability theory and stochastic processes (60-XX) 21 Dynamical systems and ergodic theory (37-XX) 14 Information and communication theory, circuits (94-XX) 12 Quantum theory (81-XX) 8 Statistics (62-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 83 Publications have been cited 1,684 times in 1,045 Documents Cited by ▼ Year ▼ Possible generalization of Boltzmann-Gibbs statistics. Zbl 1082.82501Tsallis, Constantino 594 1988 Introduction to nonextensive statistical mechanics. Approaching a complex world. Zbl 1172.82004Tsallis, Constantino 268 2009 Nonextensive entropy – interdisciplinary applications. Zbl 1127.82004Gell-Mann, Murray (ed.); Tsallis, Constantino (ed.) 98 2004 Nonextensive statistical mechanics and thermodynamics: Historical background and present status. Zbl 0994.82001Tsallis, C. 60 2001 The classical \(N\)-body problem within a generalized statistical mechanics. Zbl 0838.70012Plastino, A. R.; Plastino, A.; Tsallis, C. 52 1994 On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics. Zbl 1182.60011Umarov, Sabir; Tsallis, Constantino; Steinberg, Stanly 42 2008 Statistical-mechanical foundation of the ubiquity of Lévy distributions in nature. Zbl 1020.82593Tsallis, Constantino; Levy, Silvio V. F.; Souza, André M. C.; Maynard, Roger 39 1995 Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups. Zbl 0941.81565Tsallis, Constantino 35 1994 Nonextensive thermostatics and fractals. Zbl 0870.58098Tsallis, Constantino 33 1995 Asymptotically scale invariant occupancy of phase space makes the entropy \(S_q\) extensive. Zbl 1155.82300Tsallis, Constantino; Gell-Mann, Murray; Sato, Yuzuru 24 2005 Entropic nonextensivity: A possible measure of complexity. Zbl 1012.82003Tsallis, Constantino 22 2002 Information gain within nonextensive thermostatistics. Zbl 0938.82001Borland, Lisa; Plastino, Angel R.; Tsallis, Constantino 21 1998 Stock exchange: a statistical model. Zbl 0904.90019Tsallis, C.; de Souza, A. M. C.; Curado, E. M. F. 20 1995 Some comments on Boltzmann-Gibbs statistical mechanics. Zbl 0900.82056Tsallis, Constantino 19 1995 Generalization of symmetric \(\alpha\)-stable Lévy distributions for \(q > 1\). Zbl 1309.60014Umarov, Sabir; Tsallis, Constantino; Gell-Mann, Murray; Steinberg, Stanly 18 2010 Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system. Zbl 0984.82014Latora, Vito; Rapisarda, Andrea; Tsallis, Constantino 18 2002 What should a statistical mechanics satisfy to reflect nature? Zbl 1062.82031Tsallis, Constantino 17 2004 Nonextensive statistical mechanics and economics. Zbl 1072.91626Tsallis, Constantino; Anteneodo, Celia; Borland, Lisa; Osorio, Roberto 16 2003 Power-law sensitivity to initial conditions—new entropic representation. Zbl 0933.37049Tsallis, C.; Plastino, A. R.; Zheng, W.-M. 16 1997 New representations of \(\pi\) and Dirac delta using the nonextensive-statistical-mechanics \(q\)-exponential function. Zbl 1311.46039Jauregui, M.; Tsallis, C. 14 2010 Nonextensive statistical mechanics: a brief introduction. Zbl 1116.82314Tsallis, C.; Brigatti, E. 13 2004 Generalized Box-Müller method for generating \(q\)-Gaussian random deviates. Zbl 1326.94037Thistleton, William; Marsh, John A.; Nelson, Kenric; Tsallis, Constantino 12 2007 On multivariate generalizations of the \(q\)-central limit theorem consistent with nonextensive statistical mechanics. Zbl 1151.82302Umarov, Sabir; Tsallis, Constantino 11 2007 Escort mean values and the characterization of power-law-decaying probability densities. Zbl 1214.82004Tsallis, C.; Plastino, A. R.; Alvarez-Estrada, R. F. 10 2009 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004Tsallis, Constantino 9 2011 Multiplicative noise: a mechanism leading to nonextensive statistical mechanics. Zbl 1062.82039Anteneodo, Celia; Tsallis, Constantino 9 2003 Influence of the interaction range on the thermostatistics of a classical many-body system. Zbl 1395.82147Cirto, Leonardo J. L.; Assis, Vladimir R. V.; Tsallis, Constantino 8 2014 Special issue: Classical and quantum complexity and non-extensive thermodynamics. Zbl 0987.00024Grigolini, P. (ed.); Tsallis, C. (ed.); West, B. (ed.) 8 2002 The rate of entropy increase at the edge of chaos. Zbl 1115.82327Latora, Vito; Baranger, Michel; Rapisarda, Andrea; Tsallis, Constantino 8 2000 Nonlinear Schroedinger equation in the presence of uniform acceleration. Zbl 1290.35250Plastino, A. R.; Tsallis, C. 7 2013 Towards a large deviation theory for strongly correlated systems. Zbl 1266.60050Ruiz, Guiomar; Tsallis, Constantino 7 2012 \(q\)-Gaussians in the porous-medium equation: stability and time evolution. Zbl 1188.82064Schwämmle, V.; Nobre, F. D.; Tsallis, C. 7 2008 Classical spin systems with long-range interactions: universal reduction of mixing. Zbl 0969.82513Campa, A.; Giansanti, A.; Moroni, D.; Tsallis, C. 7 2001 Erratum: ”Information gain within generalized [non-extensive] thermostatistics”. Zbl 1057.82501Borland, L.; Plastino, A. R.; Tsallis, C. 7 1999 \(q\)-generalization of the inverse Fourier transform. Zbl 1242.82004Jauregui, M.; Tsallis, C. 6 2011 On a representation of the inverse \(F_{q}\)-transform. Zbl 1221.82017Umarov, Sabir; Tsallis, Constantino 6 2008 Nonextensive statistical mechanics, anomalous diffusion and central limit theorems. Zbl 1117.82004Tsallis, Costantino 6 2005 Generalization of the Kolmogorov-Sinai entropy: logistic-like and generalized cosine maps at the chaos threshold. Zbl 0972.37053Tirnakli, U.; Ananos, G. F. J.; Tsallis, C. 6 2001 A nonextensive approach to the dynamics of financial observables. Zbl 1189.91233Queirós, S. M. D.; Moyano, L. G.; De Souza, J.; Tsallis, C. 5 2007 Is the entropy \(S_q\) extensive or nonextensive? Zbl 1121.82003Tsallis, Constantino 5 2006 Introduction to nonextensive statistical mechanics and thermodynamics. Zbl 1081.82002Tsallis, C.; Baldovin, F.; Cerbino, R.; Pierobon, P. 5 2004 Mixing and equilibration: protagonists in the scene of nonextensive statistical mechanics. Zbl 0986.82001Tsallis, Constantino; Borges, Ernesto P.; Baldovin, Fulvio 5 2002 Renormalization group approach to nonextensive statistical mechanics. Zbl 0969.82528Mendes, R. S.; Tsallis, C. 5 2001 A nonextensive critical phenomenon scenario for quantum entanglement. Zbl 0978.82039Tsallis, C.; Lamberti, P. W.; Prato, D. 5 2001 A new entropy based on a group-theoretical structure. Zbl 1342.94058Curado, Evaldo M. F.; Tempesta, Piergiulio; Tsallis, Constantino 4 2016 Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy. Zbl 1152.81603Schwämmle, Veit; Tsallis, Constantino 4 2007 Nonextensive statistical mechanics and central limit theorems. II: Convolution of \(q\)-independent random variables. Zbl 1203.82003Duarte Queirós, Silvio M.; Tsallis, Constantino 4 2007 Stability of the entropy for superstatistics. Zbl 1045.82012Souza, A. M. C.; Tsallis, C. 4 2003 A dimension scale-invariant probabilistic model based on Leibniz-like pyramids. Zbl 1274.82024Rodríguez, A.; Tsallis, C. 3 2012 Computational applications of nonextensive statistical mechanics. Zbl 1167.82004Tsallis, Constantino 3 2009 Nonextensive statistical mechanics and central limit theorems. I: Convolution of independent random variables and \(q\)-product. Zbl 1151.82301Tsallis, Constantino; Duarte Queirós, Silvio M. 3 2007 Selected papers of the international workshop on anomalous distributions, nonlinear dynamics, and nonextensivity, Santa Fe, NM, USA, November 6–9, 2002. Zbl 1065.37500Swinney, Harry L. (ed.); Tsallis, Constantino (ed.) 3 2004 Mother wavelet functions generalized through \(q\)-exponentials. Zbl 1067.94007Borges, Ernesto P.; Tsallis, Constantino; Mirando, José G. V.; Andrade, Roberto F. S. 3 2004 Variational method in generalized statistical mechanics. Zbl 0808.60092Plastino, A.; Tsallis, C. 3 1993 The Potts model and flows. I: The pair correlation function. Zbl 0592.60097Essam, J. W.; Tsallis, C. 3 1986 Dynamics and statistics of the Fermi-pasta-Ulam \(\beta \)-model with different ranges of particle interactions. Zbl 07231931Christodoulidi, Helen; Bountis, Tassos; Tsallis, Constantino; Drossos, Lambros 2 2016 Emergence of \(q\)-statistical functions in a generalized binomial distribution with strong correlations. Zbl 1328.62317Ruiz, G.; Tsallis, C. 2 2015 Convergence of the probability of large deviations in a model of correlated random variables having compact-support \(Q\)-Gaussians as limiting distributions. Zbl 1315.82012Jauregui, Max; Tsallis, Constantino 2 2015 Time-evolving statistics of chaotic orbits of conservative maps in the context of the central limit theorem. Zbl 1258.37054Ruiz, G.; Bountis, T.; Tsallis, C. 2 2012 Sensitivity to initial conditions, entropy production, and escape rate at the onset of chaos. Zbl 1250.37029Fuentes, Miguel Angel; Sato, Yuzuru; Tsallis, Constantino 2 2011 A generalization of the cumulant expansion. Application to a scale-invariant probabilistic model. Zbl 1311.82021Rodríguez, A.; Tsallis, C. 2 2010 Nonextensivity at the edge of chaos of a new universality class of one-dimensional unimodal dissipative maps. Zbl 1188.81105Ruiz, G.; Tsallis, C. 2 2009 Temperature fluctuations of the cosmic microwave background radiation: a case of non-extensivity? Zbl 1160.85318Bernui, Armando; Tsallis, Constantino; Villela, Thyrso 2 2006 On the extensivity of the entropy \(S_{q}\) for \(N\leq 3\) specially correlated binary subsystems. Zbl 1114.82301Sato, Yuzuru; Tsallis, Constantino 2 2006 Quasi-stationary states in low-dimensional Hamiltonian systems. Zbl 1065.82014Baldovin, Fulvio; Brigatti, Edgardo; Tsallis, Constantino 2 2004 Nonextensive statistical mechanics: A brief review of its present status. Zbl 1010.82001Tsallis, Constantino 2 2002 Frontier between separability and quantum entanglement in a many spin system. Zbl 0997.81010Alcaraz, Francisco C.; Tsallis, Constantino 2 2002 Negative specific heat in a Lennard-Jones-like gas with long-range interactions. Zbl 0984.82021Borges, Ernesto P.; Tsallis, Constantino 2 2002 Statistics of the one-dimensional Riemann walk. Zbl 1072.82531Mariz, A. M.; van Wijland, F.; Hilhorst, H. J.; Gomes, S. R. jun.; Tsallis, C. 2 2001 Comment on: “Thermodynamic stability conditions for the Tsallis and Rényi entropies” by J. D. Ramshaw. Zbl 1020.82576Tsallis, Constantino 2 1995 Derivation of Lévy-type anomalous superdiffusion from generalized statistical mechanics. Zbl 0829.60073Tsallis, Constantino; de Souza, André M. C.; Maynard, Roger 2 1995 Statistical characterization of the standard map. Zbl 1456.37010Ruiz, Guiomar; Tirnakli, Ugur; Borges, Ernesto P.; Tsallis, Constantino 1 2017 Statistical mechanics for complex systems: on the structure of \(q\)-triplets. Zbl 1390.82024Tsallis, Constantino 1 2017 On the connection between linear combination of entropies and linear combination of extremizing distributions. Zbl 1360.35285Sicuro, Gabriele; Bagchi, Debarshee; Tsallis, Constantino 1 2016 Inter-occurrence times and universal laws in finance, earthquakes and genomes. Zbl 1357.82007Tsallis, Constantino 1 2016 On the robustness of the \(q\)-Gaussian family. Zbl 1360.60057Sicuro, Gabriele; Tempesta, Piergiulio; Rodríguez, Antonio; Tsallis, Constantino 1 2015 Some open points in nonextensive statistical mechanics. Zbl 1258.82002Tsallis, Constantino 1 2012 Extensive nonadditive entropy in quantum spin chains. Zbl 1151.82315Caruso, Filippo; Tsallis, Constantino 1 2007 On the extensivity of the entropy \(S_q\), the \(q\)-generalized central limit theorem and the \(q\)-triplet. Zbl 1104.82005Tsallis, Constantino 1 2006 Nonstandard entropy production in the standard map. Zbl 1010.37013Baldovin, Fulvio; Tsallis, Constantino; Schulze, Bruno 1 2003 On mixing and metaequilibrium in nonextensive systems. Zbl 0979.82003Tsallis, Constantino 1 2001 On probabilities and information — The envelope game. Zbl 0866.62003Tsallis, C.; Deutscher, G.; Maynard, R. 1 1996 Do the simple and 2/3 majority models belong to the same universality class? A Monte Carlo approach. Zbl 0943.82544da Silva, Luciano R.; Costa, Uriel M. S.; Tsallis, Constantino 1 1991 Statistical characterization of the standard map. Zbl 1456.37010Ruiz, Guiomar; Tirnakli, Ugur; Borges, Ernesto P.; Tsallis, Constantino 1 2017 Statistical mechanics for complex systems: on the structure of \(q\)-triplets. Zbl 1390.82024Tsallis, Constantino 1 2017 A new entropy based on a group-theoretical structure. Zbl 1342.94058Curado, Evaldo M. F.; Tempesta, Piergiulio; Tsallis, Constantino 4 2016 Dynamics and statistics of the Fermi-pasta-Ulam \(\beta \)-model with different ranges of particle interactions. Zbl 07231931Christodoulidi, Helen; Bountis, Tassos; Tsallis, Constantino; Drossos, Lambros 2 2016 On the connection between linear combination of entropies and linear combination of extremizing distributions. Zbl 1360.35285Sicuro, Gabriele; Bagchi, Debarshee; Tsallis, Constantino 1 2016 Inter-occurrence times and universal laws in finance, earthquakes and genomes. Zbl 1357.82007Tsallis, Constantino 1 2016 Emergence of \(q\)-statistical functions in a generalized binomial distribution with strong correlations. Zbl 1328.62317Ruiz, G.; Tsallis, C. 2 2015 Convergence of the probability of large deviations in a model of correlated random variables having compact-support \(Q\)-Gaussians as limiting distributions. Zbl 1315.82012Jauregui, Max; Tsallis, Constantino 2 2015 On the robustness of the \(q\)-Gaussian family. Zbl 1360.60057Sicuro, Gabriele; Tempesta, Piergiulio; Rodríguez, Antonio; Tsallis, Constantino 1 2015 Influence of the interaction range on the thermostatistics of a classical many-body system. Zbl 1395.82147Cirto, Leonardo J. L.; Assis, Vladimir R. V.; Tsallis, Constantino 8 2014 Nonlinear Schroedinger equation in the presence of uniform acceleration. Zbl 1290.35250Plastino, A. R.; Tsallis, C. 7 2013 Towards a large deviation theory for strongly correlated systems. Zbl 1266.60050Ruiz, Guiomar; Tsallis, Constantino 7 2012 A dimension scale-invariant probabilistic model based on Leibniz-like pyramids. Zbl 1274.82024Rodríguez, A.; Tsallis, C. 3 2012 Time-evolving statistics of chaotic orbits of conservative maps in the context of the central limit theorem. Zbl 1258.37054Ruiz, G.; Bountis, T.; Tsallis, C. 2 2012 Some open points in nonextensive statistical mechanics. Zbl 1258.82002Tsallis, Constantino 1 2012 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004Tsallis, Constantino 9 2011 \(q\)-generalization of the inverse Fourier transform. Zbl 1242.82004Jauregui, M.; Tsallis, C. 6 2011 Sensitivity to initial conditions, entropy production, and escape rate at the onset of chaos. Zbl 1250.37029Fuentes, Miguel Angel; Sato, Yuzuru; Tsallis, Constantino 2 2011 Generalization of symmetric \(\alpha\)-stable Lévy distributions for \(q > 1\). Zbl 1309.60014Umarov, Sabir; Tsallis, Constantino; Gell-Mann, Murray; Steinberg, Stanly 18 2010 New representations of \(\pi\) and Dirac delta using the nonextensive-statistical-mechanics \(q\)-exponential function. Zbl 1311.46039Jauregui, M.; Tsallis, C. 14 2010 A generalization of the cumulant expansion. Application to a scale-invariant probabilistic model. Zbl 1311.82021Rodríguez, A.; Tsallis, C. 2 2010 Introduction to nonextensive statistical mechanics. Approaching a complex world. Zbl 1172.82004Tsallis, Constantino 268 2009 Escort mean values and the characterization of power-law-decaying probability densities. Zbl 1214.82004Tsallis, C.; Plastino, A. R.; Alvarez-Estrada, R. F. 10 2009 Computational applications of nonextensive statistical mechanics. Zbl 1167.82004Tsallis, Constantino 3 2009 Nonextensivity at the edge of chaos of a new universality class of one-dimensional unimodal dissipative maps. Zbl 1188.81105Ruiz, G.; Tsallis, C. 2 2009 On a \(q\) -central limit theorem consistent with nonextensive statistical mechanics. Zbl 1182.60011Umarov, Sabir; Tsallis, Constantino; Steinberg, Stanly 42 2008 \(q\)-Gaussians in the porous-medium equation: stability and time evolution. Zbl 1188.82064Schwämmle, V.; Nobre, F. D.; Tsallis, C. 7 2008 On a representation of the inverse \(F_{q}\)-transform. Zbl 1221.82017Umarov, Sabir; Tsallis, Constantino 6 2008 Generalized Box-Müller method for generating \(q\)-Gaussian random deviates. Zbl 1326.94037Thistleton, William; Marsh, John A.; Nelson, Kenric; Tsallis, Constantino 12 2007 On multivariate generalizations of the \(q\)-central limit theorem consistent with nonextensive statistical mechanics. Zbl 1151.82302Umarov, Sabir; Tsallis, Constantino 11 2007 A nonextensive approach to the dynamics of financial observables. Zbl 1189.91233Queirós, S. M. D.; Moyano, L. G.; De Souza, J.; Tsallis, C. 5 2007 Two-parameter generalization of the logarithm and exponential functions and Boltzmann-Gibbs-Shannon entropy. Zbl 1152.81603Schwämmle, Veit; Tsallis, Constantino 4 2007 Nonextensive statistical mechanics and central limit theorems. II: Convolution of \(q\)-independent random variables. Zbl 1203.82003Duarte Queirós, Silvio M.; Tsallis, Constantino 4 2007 Nonextensive statistical mechanics and central limit theorems. I: Convolution of independent random variables and \(q\)-product. Zbl 1151.82301Tsallis, Constantino; Duarte Queirós, Silvio M. 3 2007 Extensive nonadditive entropy in quantum spin chains. Zbl 1151.82315Caruso, Filippo; Tsallis, Constantino 1 2007 Is the entropy \(S_q\) extensive or nonextensive? Zbl 1121.82003Tsallis, Constantino 5 2006 Temperature fluctuations of the cosmic microwave background radiation: a case of non-extensivity? Zbl 1160.85318Bernui, Armando; Tsallis, Constantino; Villela, Thyrso 2 2006 On the extensivity of the entropy \(S_{q}\) for \(N\leq 3\) specially correlated binary subsystems. Zbl 1114.82301Sato, Yuzuru; Tsallis, Constantino 2 2006 On the extensivity of the entropy \(S_q\), the \(q\)-generalized central limit theorem and the \(q\)-triplet. Zbl 1104.82005Tsallis, Constantino 1 2006 Asymptotically scale invariant occupancy of phase space makes the entropy \(S_q\) extensive. Zbl 1155.82300Tsallis, Constantino; Gell-Mann, Murray; Sato, Yuzuru 24 2005 Nonextensive statistical mechanics, anomalous diffusion and central limit theorems. Zbl 1117.82004Tsallis, Costantino 6 2005 Nonextensive entropy – interdisciplinary applications. Zbl 1127.82004Gell-Mann, Murray (ed.); Tsallis, Constantino (ed.) 98 2004 What should a statistical mechanics satisfy to reflect nature? Zbl 1062.82031Tsallis, Constantino 17 2004 Nonextensive statistical mechanics: a brief introduction. Zbl 1116.82314Tsallis, C.; Brigatti, E. 13 2004 Introduction to nonextensive statistical mechanics and thermodynamics. Zbl 1081.82002Tsallis, C.; Baldovin, F.; Cerbino, R.; Pierobon, P. 5 2004 Selected papers of the international workshop on anomalous distributions, nonlinear dynamics, and nonextensivity, Santa Fe, NM, USA, November 6–9, 2002. Zbl 1065.37500Swinney, Harry L. (ed.); Tsallis, Constantino (ed.) 3 2004 Mother wavelet functions generalized through \(q\)-exponentials. Zbl 1067.94007Borges, Ernesto P.; Tsallis, Constantino; Mirando, José G. V.; Andrade, Roberto F. S. 3 2004 Quasi-stationary states in low-dimensional Hamiltonian systems. Zbl 1065.82014Baldovin, Fulvio; Brigatti, Edgardo; Tsallis, Constantino 2 2004 Nonextensive statistical mechanics and economics. Zbl 1072.91626Tsallis, Constantino; Anteneodo, Celia; Borland, Lisa; Osorio, Roberto 16 2003 Multiplicative noise: a mechanism leading to nonextensive statistical mechanics. Zbl 1062.82039Anteneodo, Celia; Tsallis, Constantino 9 2003 Stability of the entropy for superstatistics. Zbl 1045.82012Souza, A. M. C.; Tsallis, C. 4 2003 Nonstandard entropy production in the standard map. Zbl 1010.37013Baldovin, Fulvio; Tsallis, Constantino; Schulze, Bruno 1 2003 Entropic nonextensivity: A possible measure of complexity. Zbl 1012.82003Tsallis, Constantino 22 2002 Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system. Zbl 0984.82014Latora, Vito; Rapisarda, Andrea; Tsallis, Constantino 18 2002 Special issue: Classical and quantum complexity and non-extensive thermodynamics. Zbl 0987.00024Grigolini, P. (ed.); Tsallis, C. (ed.); West, B. (ed.) 8 2002 Mixing and equilibration: protagonists in the scene of nonextensive statistical mechanics. Zbl 0986.82001Tsallis, Constantino; Borges, Ernesto P.; Baldovin, Fulvio 5 2002 Nonextensive statistical mechanics: A brief review of its present status. Zbl 1010.82001Tsallis, Constantino 2 2002 Frontier between separability and quantum entanglement in a many spin system. Zbl 0997.81010Alcaraz, Francisco C.; Tsallis, Constantino 2 2002 Negative specific heat in a Lennard-Jones-like gas with long-range interactions. Zbl 0984.82021Borges, Ernesto P.; Tsallis, Constantino 2 2002 Nonextensive statistical mechanics and thermodynamics: Historical background and present status. Zbl 0994.82001Tsallis, C. 60 2001 Classical spin systems with long-range interactions: universal reduction of mixing. Zbl 0969.82513Campa, A.; Giansanti, A.; Moroni, D.; Tsallis, C. 7 2001 Generalization of the Kolmogorov-Sinai entropy: logistic-like and generalized cosine maps at the chaos threshold. Zbl 0972.37053Tirnakli, U.; Ananos, G. F. J.; Tsallis, C. 6 2001 Renormalization group approach to nonextensive statistical mechanics. Zbl 0969.82528Mendes, R. S.; Tsallis, C. 5 2001 A nonextensive critical phenomenon scenario for quantum entanglement. Zbl 0978.82039Tsallis, C.; Lamberti, P. W.; Prato, D. 5 2001 Statistics of the one-dimensional Riemann walk. Zbl 1072.82531Mariz, A. M.; van Wijland, F.; Hilhorst, H. J.; Gomes, S. R. jun.; Tsallis, C. 2 2001 On mixing and metaequilibrium in nonextensive systems. Zbl 0979.82003Tsallis, Constantino 1 2001 The rate of entropy increase at the edge of chaos. Zbl 1115.82327Latora, Vito; Baranger, Michel; Rapisarda, Andrea; Tsallis, Constantino 8 2000 Erratum: ”Information gain within generalized [non-extensive] thermostatistics”. Zbl 1057.82501Borland, L.; Plastino, A. R.; Tsallis, C. 7 1999 Information gain within nonextensive thermostatistics. Zbl 0938.82001Borland, Lisa; Plastino, Angel R.; Tsallis, Constantino 21 1998 Power-law sensitivity to initial conditions—new entropic representation. Zbl 0933.37049Tsallis, C.; Plastino, A. R.; Zheng, W.-M. 16 1997 On probabilities and information — The envelope game. Zbl 0866.62003Tsallis, C.; Deutscher, G.; Maynard, R. 1 1996 Statistical-mechanical foundation of the ubiquity of Lévy distributions in nature. Zbl 1020.82593Tsallis, Constantino; Levy, Silvio V. F.; Souza, André M. C.; Maynard, Roger 39 1995 Nonextensive thermostatics and fractals. Zbl 0870.58098Tsallis, Constantino 33 1995 Stock exchange: a statistical model. Zbl 0904.90019Tsallis, C.; de Souza, A. M. C.; Curado, E. M. F. 20 1995 Some comments on Boltzmann-Gibbs statistical mechanics. Zbl 0900.82056Tsallis, Constantino 19 1995 Comment on: “Thermodynamic stability conditions for the Tsallis and Rényi entropies” by J. D. Ramshaw. Zbl 1020.82576Tsallis, Constantino 2 1995 Derivation of Lévy-type anomalous superdiffusion from generalized statistical mechanics. Zbl 0829.60073Tsallis, Constantino; de Souza, André M. C.; Maynard, Roger 2 1995 The classical \(N\)-body problem within a generalized statistical mechanics. Zbl 0838.70012Plastino, A. R.; Plastino, A.; Tsallis, C. 52 1994 Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups. Zbl 0941.81565Tsallis, Constantino 35 1994 Variational method in generalized statistical mechanics. Zbl 0808.60092Plastino, A.; Tsallis, C. 3 1993 Do the simple and 2/3 majority models belong to the same universality class? A Monte Carlo approach. Zbl 0943.82544da Silva, Luciano R.; Costa, Uriel M. S.; Tsallis, Constantino 1 1991 Possible generalization of Boltzmann-Gibbs statistics. Zbl 1082.82501Tsallis, Constantino 594 1988 The Potts model and flows. I: The pair correlation function. Zbl 0592.60097Essam, J. W.; Tsallis, C. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 1,423 Authors 56 Tsallis, Constantino 34 Plastino, Angel Luis 25 Plastino, Angel Ricardo 18 Rastegin, Alexey E. 17 Abe, Sumiyoshi 14 Zaripov, Rinat G. 13 Pennini, Flavia 12 Naudts, Jan 11 Dehesa, Jesús S. 11 Du, Jiulin 11 Frank, Till Daniel 11 Tribeche, Mouloud 10 Furuichi, Shigeru 10 Nobre, Fernando D. 9 Kaminski Lenzi, Ervin 9 Lavagno, A. 9 Plastino, Angelo 9 Rajagopal, A. K. 9 Rocca, Mario C. 9 Wada, Tatsuaki 9 Wang, Qiuping Alexandre 8 Algin, Abdullah 8 Chavanis, Pierre-Henri 8 Curado, Evaldo M. F. 8 Haubold, Hans Joachim 8 Mathai, Arakaparampli Mathai 8 Scarfone, Antonio Maria 8 Shang, Pengjian 7 Bagci, G. Baris 7 Borges, Ernesto P. 7 Chen, Jincan 7 Oikonomou, Thomas 7 Stanković, Miomir S. 6 Bountis, Tassos C. 6 Duarte Queirós, Silvio M. 6 Gomez, Ignacio S. 6 Kalogeropoulos, Nikos 6 Man’ko, Vladimir Ivanovich 6 Mendes, Renio S. 6 Narayana Swamy, P. 6 Ohara, Atsumi 6 Quarati, Piero 6 Sánchez-Moreno, Pablo 6 Toranzo, Irene V. 6 Vignat, Christophe 5 Abreu, Everton M. C. 5 Anteneodo, Celia 5 Baǧci, Gökhan B. 5 Bercher, Jean-François 5 Chung, Won-Sang 5 da Silva, Luciano R. 5 Hoffmann, Karl Heinz 5 Iliopoulos, Aggelos C. 5 Kumar, Satish 5 Matsuzoe, Hiroshi 5 Neto, Jorge Ananias 5 Pavlos, Georgios P. 5 Portesi, Mariela 5 Rapisarda, Andrea 5 Robledo, Alberto 5 Rogers, Colin 5 Ruseckas, Julius 5 Suyari, Hiroki 5 Tempesta, Piergiulio 4 Amari, Shun-ichi 4 Baldovin, Fulvio 4 Beck, Christian 4 Biró, Tamás S. 4 Borland, Lisa 4 Casas, Montserrat 4 da Costa, Bruno G. 4 Elhanbaly, Atalla M. 4 Ferrari, Davide 4 Ferri, Gustavo L. 4 Gell-Mann, Murray 4 Guo, Ran 4 Jauregui, Max 4 Jumarie, Guy M. 4 Lamberti, Pedro W. 4 Le Méhauté, Alain J. Y. 4 Leonenko, Nikolai N. 4 Livadiotis, George 4 Marinković, Sladjana D. 4 Miller, H. Gilbert 4 Ou, Congjie 4 Rajković, Predrag M. 4 Ramos, Fernando Manuel 4 Ribeiro, Haroldo V. 4 Rosso, Osvaldo A. 4 Silva, Raimundo jun. 4 Thurner, Stefan 4 Tirnakli, Ugur 4 Yamano, Takuya 3 Antonopoulos, Chris G. 3 Barboza, Edésio M. jun. 3 Bergeron, Hervé 3 Bountis, Anastasios 3 Büyükkılıç, Fevzi 3 Campa, Alessandro 3 Costa, Uriel M. S. ...and 1,323 more Authors all top 5 Cited in 201 Serials 142 Physica A 112 Physics Letters. A 71 Journal of Mathematical Physics 55 Entropy 39 Chaos, Solitons and Fractals 25 Journal of Statistical Mechanics: Theory and Experiment 24 Astrophysics and Space Science 23 International Journal of Modern Physics B 23 International Journal of Theoretical Physics 20 Chaos 16 Modern Physics Letters B 16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 Physica D 14 Russian Physics Journal 13 Communications in Nonlinear Science and Numerical Simulation 13 Quantum Information Processing 12 Journal of Statistical Physics 12 Annals of Physics 12 The European Physical Journal B. Condensed Matter and Complex Systems 11 Applied Mathematics and Computation 9 Reports on Mathematical Physics 9 Open Systems & Information Dynamics 9 Journal of Physics A: Mathematical and Theoretical 8 Theoretical and Mathematical Physics 8 Axioms 7 Advances in Mathematical Physics 6 Computers & Mathematics with Applications 6 Journal of Computational and Applied Mathematics 6 Statistics & Probability Letters 6 Physical Review Letters 6 Foundations of Physics 5 International Journal of Modern Physics A 5 General Relativity and Gravitation 5 Information Sciences 5 Linear Algebra and its Applications 5 Journal of Mathematical Chemistry 5 Methodology and Computing in Applied Probability 5 International Journal of Geometric Methods in Modern Physics 4 Journal of Mathematical Analysis and Applications 4 Proceedings of the National Academy of Sciences of the United States of America 4 International Journal of Modern Physics D 3 Journal of Computational Physics 3 Letters in Mathematical Physics 3 Metrika 3 Physics Letters. B 3 Transport Theory and Statistical Physics 3 Reviews in Mathematical Physics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Economic Theory 3 Journal of Econometrics 3 Journal of Multivariate Analysis 3 Journal of Statistical Planning and Inference 3 Communications in Statistics. Theory and Methods 3 Computational Statistics and Data Analysis 3 Continuum Mechanics and Thermodynamics 3 Test 3 Statistical Papers 3 Journal of Nonparametric Statistics 3 Fractional Calculus & Applied Analysis 3 Quantitative Finance 3 Physical Review E. Third Series 3 International Journal of Quantum Information 3 Communications in Theoretical Physics 3 Journal of Probability and Statistics 3 Mathematics 2 Computer Physics Communications 2 Physics Reports 2 Bulletin of Mathematical Biology 2 Anais da Academia Brasileira de Ciências 2 Annals of the Institute of Statistical Mathematics 2 The Annals of Statistics 2 Metron 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Machine Learning 2 Neural Computation 2 European Journal of Operational Research 2 Pattern Recognition 2 Physics of Fluids 2 Fractals 2 Integral Transforms and Special Functions 2 Complexity 2 Mathematical Problems in Engineering 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 International Journal of Theoretical and Applied Finance 2 New Journal of Physics 2 Journal of High Energy Physics 2 International Journal of Modern Physics C 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Advances in Complex Systems 2 Electronic Journal of Statistics 2 Acta Universitatis Sapientiae. Informatica 2 Advances in Fuzzy Systems 2 Physical Review A, Third Series 1 Modern Physics Letters A 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis ...and 101 more Serials all top 5 Cited in 49 Fields 473 Statistical mechanics, structure of matter (82-XX) 275 Information and communication theory, circuits (94-XX) 166 Quantum theory (81-XX) 165 Statistics (62-XX) 117 Probability theory and stochastic processes (60-XX) 84 Partial differential equations (35-XX) 70 Dynamical systems and ergodic theory (37-XX) 67 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 46 Fluid mechanics (76-XX) 39 Biology and other natural sciences (92-XX) 35 Special functions (33-XX) 34 Computer science (68-XX) 31 Astronomy and astrophysics (85-XX) 30 Relativity and gravitational theory (83-XX) 29 Classical thermodynamics, heat transfer (80-XX) 26 Real functions (26-XX) 25 Operations research, mathematical programming (90-XX) 23 Numerical analysis (65-XX) 21 Operator theory (47-XX) 19 Differential geometry (53-XX) 15 Combinatorics (05-XX) 15 Nonassociative rings and algebras (17-XX) 15 Measure and integration (28-XX) 15 Difference and functional equations (39-XX) 15 Geophysics (86-XX) 13 Functional analysis (46-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Systems theory; control (93-XX) 10 Mechanics of particles and systems (70-XX) 9 Group theory and generalizations (20-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Ordinary differential equations (34-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral transforms, operational calculus (44-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Algebraic geometry (14-XX) 5 Functions of a complex variable (30-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Convex and discrete geometry (52-XX) 4 Optics, electromagnetic theory (78-XX) 2 Associative rings and algebras (16-XX) 2 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Citations by Year