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Volumn , Issue , 2011, Pages 1-201

Generalised thermostatistics

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EID: 84892131516     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-0-85729-355-8     Document Type: Book
Times cited : (223)

References (142)
  • 2
    • 67650242997 scopus 로고    scopus 로고
    • Generalised information and entropy measures in physics
    • vi
    • Beck, C.: Generalised information and entropy measures in physics. Contemporary Physics 50, 495-510 (2009) vi
    • (2009) Contemporary Physics , vol.50 , pp. 495-510
    • Beck, C.1
  • 6
    • 20844442076 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics: Construction and physical interpretation
    • M. Gell-Mann, C. Tsallis (eds.) Oxford University Press, Oxford vi
    • Tsallis, C.: Nonextensive statistical mechanics: construction and physical interpretation. In: M. Gell-Mann, C. Tsallis (eds.) Nonextensive Entropy, pp. 1-53. Oxford University Press, Oxford (2004) vi
    • (2004) Nonextensive Entropy , pp. 1-53
    • Tsallis, C.1
  • 11
    • 33645993579 scopus 로고    scopus 로고
    • Parameter estimation in nonextensive thermostatistics
    • 36, 162
    • Naudts, J.: Parameter estimation in nonextensive thermostatistics. Physica A 365, 42-49 (2006) 36, 162
    • (2006) Physica A , vol.365 , pp. 42-49
    • Naudts, J.1
  • 12
    • 34547444994 scopus 로고    scopus 로고
    • Point estimation of states of finite quantum systems
    • 36
    • Petz, D., Hangos, K., Magyar, A.: Point estimation of states of finite quantum systems. J. Phys. A 40, 7955-7970 (2007) 36
    • (2007) J. Phys. A , vol.40 , pp. 7955-7970
    • Petz, D.1    Hangos, K.2    Magyar, A.3
  • 14
    • 0000063775 scopus 로고
    • On the equilibrium of heterogeneous substances
    • Oct. May, 1876, and 343-524, May, 1877-July, 1878 45
    • Gibbs, J.W.: On the equilibrium of heterogeneous substances. Transactions of the Connecticut Academy, III. pp. 108-248, Oct., 1875-May, 1876, and 343-524, May, 1877-July, 1878 45
    • (1875) Transactions of the Connecticut Academy , vol.3 , pp. 108-248
    • Gibbs, J.W.1
  • 16
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • 38
    • Jaynes, E.: Information theory and statistical mechanics. Phys. Rev. 106, 620-630 (1957) 38
    • (1957) Phys. Rev. , vol.106 , pp. 620-630
    • Jaynes, E.1
  • 19
    • 33344458604 scopus 로고    scopus 로고
    • Stanford Encyclopedia of Philosophy 51
    • Uffink, J.: Boltzmann's work in statistical physics. In: Stanford Encyclopedia of Philosophy. http://plato.stanford.edu/entries/statphys- Boltzmann/(2004) 51
    • (2004) Boltzmann's Work in Statistical Physics
    • Uffink, J.1
  • 21
    • 0035898638 scopus 로고    scopus 로고
    • Inequivalence of ensembles in a system with long-range interactions
    • 66
    • Barré, J., Mukamel, D., Ruffo, S.: Inequivalence of ensembles in a system with long-range interactions. Phys. Rev. Lett. 87, 030601 (2001) 66
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 030601
    • Barré, J.1    Mukamel, D.2    Ruffo, S.3
  • 22
    • 0004082947 scopus 로고
    • Springer-Verlag, Berlin, Heidelberg, New York 66
    • Becker, R.: Theory of Heat. Springer-Verlag, Berlin, Heidelberg, New York (1967) 66
    • (1967) Theory of Heat
    • Becker, R.1
  • 23
    • 22144484514 scopus 로고    scopus 로고
    • Critical properties of the spherical model in the microcanonical formalism
    • 66
    • Behringer, H.: Critical properties of the spherical model in the microcanonical formalism. J. Stat. Mech. p. P06014 (2005) 66
    • (2005) J. Stat. Mech
    • Behringer, H.1
  • 24
    • 33746227631 scopus 로고    scopus 로고
    • Continuous phase transitions with a convex dip in the microcanonical entropy
    • 66
    • Behringer, H., Pleimling, M.: Continuous phase transitions with a convex dip in the microcanonical entropy. Phys. Rev. E 74, 011108 (2006) 66
    • (2006) Phys. Rev. e , vol.74 , pp. 011108
    • Behringer, H.1    Pleimling, M.2
  • 25
    • 42149130255 scopus 로고    scopus 로고
    • Comment on typicality for generalized microcanonical ensemble
    • 67
    • Brody, D.: Comment on Typicality for Generalized Microcanonical Ensemble. Phys. Rev. Lett. 100, 148901 (2008) 67
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 148901
    • Brody, D.1
  • 26
    • 34250805527 scopus 로고    scopus 로고
    • Microcanonical distributions for quantum systems
    • 66
    • Brody, D., Hook, D., Hughston, L.: Microcanonical distributions for quantum systems. J. Phys. Conf. Ser. 67, 012025 (2007) 66
    • (2007) J. Phys. Conf. Ser. , vol.67 , pp. 012025
    • Brody, D.1    Hook, D.2    Hughston, L.3
  • 27
    • 0032336278 scopus 로고    scopus 로고
    • The quantum canonical ensemble
    • 66
    • Brody, D., Hughston, L.: The quantum canonical ensemble. J. Math. Phys. 39, 6502-6508 (1998) 66
    • (1998) J. Math. Phys. , vol.39 , pp. 6502-6508
    • Brody, D.1    Hughston, L.2
  • 30
    • 71849104627 scopus 로고    scopus 로고
    • Typical state of an isolated quantum system with fixed energy and unrestricted participation of eigenstates
    • 67
    • Fine, B.V.: Typical state of an isolated quantum system with fixed energy and unrestricted participation of eigenstates. Phys. Rev. E 80, 051130 (2009) 67
    • (2009) Phys. Rev. e , vol.80 , pp. 051130
    • Fine, B.V.1
  • 33
    • 33845890805 scopus 로고    scopus 로고
    • On the distribution of the wave function for systems in thermal equilibrium
    • 66
    • Goldstein, S., Lebowitz, J., Tumulka, R., Zanghi, N.: On the distribution of the wave function for systems in thermal equilibrium. J. Stat. Phys. 125, 1197-1225 (2006) 66
    • (2006) J. Stat. Phys. , vol.125 , pp. 1197-1225
    • Goldstein, S.1    Lebowitz, J.2    Tumulka, R.3    Zanghi, N.4
  • 34
    • 0000338927 scopus 로고
    • Statistical decay of very hot nuclei, the production of large clusters
    • 66
    • Gross, D.: Statistical decay of very hot nuclei, the production of large clusters. Rep. Progr. Phys. 53, 605-658 (1990) 66
    • (1990) Rep. Progr. Phys. , vol.53 , pp. 605-658
    • Gross, D.1
  • 35
    • 0003347748 scopus 로고    scopus 로고
    • Microcanonical Thermodynamics: Phase transitions in 'small' systems
    • World Scientific 66
    • Gross, D.: Microcanonical Thermodynamics: Phase transitions in 'small' systems. Lecture Notes in Physics, vol. 66. World Scientific (2001) 66
    • (2001) Lecture Notes in Physics , vol.66
    • Gross, D.1
  • 37
    • 84979113712 scopus 로고
    • Uber die mechanischen grundlagen der thermodynamik
    • 537-552 56, 66
    • Hertz, P.: Uber die mechanischen grundlagen der thermodynamik. Ann. Phys. (Leipzig) 338, 225-274, 537-552 (1910) 56, 66
    • (1910) Ann. Phys. (Leipzig) , vol.338 , pp. 225-274
    • Hertz, P.1
  • 38
    • 33746618476 scopus 로고    scopus 로고
    • Nonanalytic microscopic phase transitions and temperature oscillations in the microcanonical ensemble: An exactly solvable one-dimensional model for evaporation
    • 66
    • Hilbert, S., Dunkel, J.: Nonanalytic microscopic phase transitions and temperature oscillations in the microcanonical ensemble: An exactly solvable one-dimensional model for evaporation. Phys. Rev. E 74, 011120 (2006) 66
    • (2006) Phys. Rev. e , vol.74 , pp. 011120
    • Hilbert, S.1    Dunkel, J.2
  • 39
    • 0000091698 scopus 로고
    • First order phase transitions in the canonical and the microcanonical ensemble
    • 66
    • Hüller, A.: First order phase transitions in the canonical and the microcanonical ensemble. Z. Phys. B 93, 401-405 (1994) 66
    • (1994) Z. Phys. B , vol.93 , pp. 401-405
    • Hüller, A.1
  • 42
    • 77957037729 scopus 로고    scopus 로고
    • Microcanonical entropy of the spherical model with nearest-neighbour interactions
    • 66
    • Kastner, M.: Microcanonical entropy of the spherical model with nearest-neighbour interactions. J. Stat. Mech. p. P12007 (2009) 66
    • (2009) J. Stat. Mech
    • Kastner, M.1
  • 43
    • 42749106032 scopus 로고    scopus 로고
    • A generalized quantum microcanonical ensemble
    • 67
    • Naudts, J., der Straeten, E.V.: A generalized quantum microcanonical ensemble. J. Stat. Mech. p. P06015 (2006) 67
    • (2006) J. Stat. Mech
    • Naudts, J.1    Der Straeten, E.V.2
  • 44
    • 0000992948 scopus 로고
    • Laplace-transform technique for deriving thermodynamic equations from the classical microcanonical ensemble
    • 56, 66
    • Pearson, E.M., Halicioglu, T., Tiller, W.A.: Laplace-transform technique for deriving thermodynamic equations from the classical microcanonical ensemble. Phys. Rev. A 32, 3030-3039 (1985) 56, 66
    • (1985) Phys. Rev. A , vol.32 , pp. 3030-3039
    • Pearson, E.M.1    Halicioglu, T.2    Tiller, W.A.3
  • 45
    • 0035457430 scopus 로고    scopus 로고
    • Crossing the coexistence line at constant magnetization
    • DOI 10.1023/A:1010445526237
    • Pleimling, M., Hüller, A.: Crossing the coexistence line at constant magnetization. J. Stat. Phys. 104, 971-989 (2001) 66 (Pubitemid 33386562)
    • (2001) Journal of Statistical Physics , vol.104 , Issue.5-6 , pp. 971-989
    • Pleimling, M.1    Huller, A.2
  • 46
    • 35348965671 scopus 로고    scopus 로고
    • Typicality for generalized microcanonical ensemble
    • 67
    • Reimann, P.: Typicality for generalized microcanonical ensemble. Phys. Rev. Lett. 99, 160404 (2007) 67
    • (2007) Phys. Rev. Lett. , vol.99 , pp. 160404
    • Reimann, P.1
  • 47
    • 42149184062 scopus 로고    scopus 로고
    • Reimann replies
    • 67
    • Reimann, P.: Reimann replies. Phys. Rev. Lett. 100, 148902 (2008) 67
    • (2008) Phys. Rev. Lett. , vol.100 , pp. 148902
    • Reimann, P.1
  • 48
    • 84941385862 scopus 로고
    • Zur Statistik klassischer Gesamtheiten
    • 56, 66
    • Schlüter, A.: Zur Statistik klassischer Gesamtheiten. Z. Naturforschg. 3a, 350-360 (1948) 56, 66
    • (1948) Z. Naturforschg. , vol.3 A , pp. 350-360
    • Schlüter, A.1
  • 50
    • 34848853519 scopus 로고    scopus 로고
    • Superstatistics, thermodynamics, and fluctuations
    • 77
    • Abe, S., Beck, C., Cohen, E.G.D.: Superstatistics, thermodynamics, and fluctuations. Phys. Rev. E 76, 031102 (2007) 77
    • (2007) Phys. Rev. e , vol.76 , pp. 031102
    • Abe, S.1    Beck, C.2    Cohen, E.G.D.3
  • 51
    • 0035968842 scopus 로고    scopus 로고
    • Dynamical foundations of nonextensive statistical mechanics
    • 77
    • Beck, C.: Dynamical foundations of nonextensive statistical mechanics. Phys. Rev. Lett. 87, 180601 (2001) 77
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 180601
    • Beck, C.1
  • 52
    • 0037405687 scopus 로고    scopus 로고
    • Superstatistics
    • 77
    • Beck, C., Cohen, E.: Superstatistics. Physica A 322, 267-275 (2003) 77
    • (2003) Physica A , vol.322 , pp. 267-275
    • Beck, C.1    Cohen, E.2
  • 53
    • 0034227335 scopus 로고    scopus 로고
    • Statistics of velocity fluctuations arising from a random distribution of point vortices: The speed of fluctuations and the diffusion coefficient
    • 72
    • Chavanis, P.H., Sire, C.: Statistics of velocity fluctuations arising from a random distribution of point vortices: The speed of fluctuations and the diffusion coefficient. Phys. Rev. E 62, 490-506 (2000) 72
    • (2000) Phys. Rev. e , vol.62 , pp. 490-506
    • Chavanis, P.H.1    Sire, C.2
  • 54
    • 34247639071 scopus 로고    scopus 로고
    • Beyond Boltzmann-Gibbs statistics: Maximum entropy hyperensembles out-of-equilibrium
    • 77
    • Crooks, G.: Beyond Boltzmann-Gibbs statistics: Maximum entropy hyperensembles out-of-equilibrium. Phys. Rev. E 75, 041119 (2007) 77
    • (2007) Phys. Rev. e , vol.75 , pp. 041119
    • Crooks, G.1
  • 56
    • 56149084517 scopus 로고    scopus 로고
    • Superstatistical distributions from a maximum entropy principle
    • 77
    • Van der Straeten, E., Beck, C.: Superstatistical distributions from a maximum entropy principle. Phys. Rev. E 78, 051101 (2008) 77
    • (2008) Phys. Rev. e , vol.78 , pp. 051101
    • Van Der Straeten, E.1    Beck, C.2
  • 59
    • 0141913389 scopus 로고
    • Statistics of the two-dimensional ferromagnet. Part I, II
    • 83
    • Kramers, H., Wannier, G.: Statistics of the two-dimensional ferromagnet. Part I, II. Phys. Rev. 60, 252-276 (1941) 83
    • (1941) Phys. Rev. , vol.60 , pp. 252-276
    • Kramers, H.1    Wannier, G.2
  • 60
    • 0000659861 scopus 로고
    • Quasi-free states of the CCR-algebra and Bogoliubov transformations
    • 91
    • Manuceau, J., Verbeure, A.: Quasi-free states of the CCR-algebra and Bogoliubov transformations. Commun. Math. Phys. 9, 293-302 (1968) 91
    • (1968) Commun. Math. Phys. , vol.9 , pp. 293-302
    • Manuceau, J.1    Verbeure, A.2
  • 61
    • 33750260889 scopus 로고    scopus 로고
    • Transition records of stationary Markov chains
    • 89, 91
    • Naudts, J., Van der Straeten, E.: Transition records of stationary Markov chains. Phys. Rev. E 74, 040103(R) (2006) 89, 91
    • (2006) Phys. Rev. E , vol.74
    • Naudts, J.1    Van Der Straeten, E.2
  • 62
    • 36149012281 scopus 로고
    • Crystal statistics, I. A two-dimensional model with an order-disorder transition
    • 83
    • Onsager, L.: Crystal statistics, I. A two-dimensional model with an order-disorder transition. Phys. Rev. 65, 117-149 (1944) 83
    • (1944) Phys. Rev. , vol.65 , pp. 117-149
    • Onsager, L.1
  • 64
    • 0040957337 scopus 로고
    • The ground state of the Bose gas
    • 91
    • Robinson, D.: The ground state of the Bose gas. Commun. Math. Phys. 1, 159-174 (1965) 91
    • (1965) Commun. Math. Phys. , vol.1 , pp. 159-174
    • Robinson, D.1
  • 67
    • 33646405725 scopus 로고    scopus 로고
    • A one-dimensional model for theoretical analysis of single molecule experiments
    • DOI 10.1088/0305-4470/39/20/006, PII S0305447006167554
    • Van der Straeten, E., Naudts, J.: A one-dimensional model for theoretical analysis of single molecule experiments. J. Phys. A: Math. Gen. pp. 5715-5726 (2006) 88, 91 (Pubitemid 43684550)
    • (2006) Journal of Physics A: Mathematical and General , vol.39 , Issue.20 , pp. 5715-5726
    • Van Der Straeten, E.1    Naudts, J.2
  • 68
    • 33744757352 scopus 로고    scopus 로고
    • A two-parameter random walk with approximate exponential probability distribution
    • DOI 10.1088/0305-4470/39/23/005, PII S0305447006167566
    • Van der Straeten, E., Naudts, J.: A two-parameter random walk with approximate exponential probability distribution. J. Phys. A: Math. Gen. 39, 7245-7256 (2006) 89, 91 (Pubitemid 43823677)
    • (2006) Journal of Physics A: Mathematical and General , vol.39 , Issue.23 , pp. 7245-7256
    • Van Der Straeten, E.1    Naudts, J.2
  • 69
    • 79051470497 scopus 로고    scopus 로고
    • Residual entropy in a model for the unfolding of single polymer chains
    • 91
    • Van der Straeten, E., Naudts, J.: Residual entropy in a model for the unfolding of single polymer chains. Europhys. Lett. 81, 28007 (2008) 91
    • (2008) Europhys. Lett. , vol.81 , pp. 28007
    • Van Der Straeten, E.1    Naudts, J.2
  • 70
    • 23344439212 scopus 로고    scopus 로고
    • The q-factorial moments of discrete q-distributions and a characterization of the Euler distribution
    • N. Balakr-ishnan, I.G. Bairamov, O.L. Gebizlioglu (eds.) Chapman & Hall/CRC Press, Boca Raton 161
    • Charalambides, C.A., Papadatos, N.: The q-factorial moments of discrete q-distributions and a characterization of the Euler distribution. In: N. Balakr-ishnan, I.G. Bairamov, O.L. Gebizlioglu (eds.) Advances on Models, Characterizations and Applications, pp. 57-71. Chapman & Hall/CRC Press, Boca Raton (2005) 161
    • (2005) Advances on Models, Characterizations and Applications , pp. 57-71
    • Charalambides, C.A.1    Papadatos, N.2
  • 71
    • 0035879433 scopus 로고    scopus 로고
    • Non-linear kinetics underlying generalized statistics
    • DOI 10.1016/S0378-4371(01)00184-4, PII S0378437101001844
    • Kaniadakis, G.: Non-linear kinetics underlying generalized statistics. Physica A 296, 405-425 (2001) 152 (Pubitemid 32594505)
    • (2001) Physica A: Statistical Mechanics and its Applications , vol.296 , Issue.3-4 , pp. 405-425
    • Kaniadakis, G.1
  • 73
    • 0037114585 scopus 로고    scopus 로고
    • Deformed exponentials and logarithms in generalized thermostatistics
    • DOI 10.1016/S0378-4371(02)01018-X, PII S037843710201018X
    • Naudts, J.: Deformed exponentials and logarithms in generalized thermostatis-tics. Physica A 316, 323-334 (2002) 112, 162 (Pubitemid 35385253)
    • (2002) Physica A: Statistical Mechanics and its Applications , vol.316 , Issue.1-4 , pp. 323-334
    • Naudts, J.1
  • 74
    • 10344224541 scopus 로고    scopus 로고
    • Estimators, escort probabilities, and phi-exponential families in statistical physics
    • 112, 162, 177
    • Naudts, J.: Estimators, escort probabilities, and phi-exponential families in statistical physics. J. Ineq. Pure Appl. Math. 5, 102 (2004) 112, 162, 177
    • (2004) J. Ineq. Pure Appl. Math. , vol.5 , pp. 102
    • Naudts, J.1
  • 75
    • 0346215808 scopus 로고    scopus 로고
    • Generalized thermostatistics and mean field theory
    • 129, 162
    • Naudts, J.: Generalized thermostatistics and mean field theory. Physica A 332, 279-300 (2004) 129, 162
    • (2004) Physica A , vol.332 , pp. 279-300
    • Naudts, J.1
  • 76
    • 3042811704 scopus 로고    scopus 로고
    • Generalized thermostatistics based on deformed exponential and logarithmic functions
    • 162
    • Naudts, J.: Generalized thermostatistics based on deformed exponential and logarithmic functions. Physica A 340, 32-40 (2004) 162
    • (2004) Physica A , vol.340 , pp. 32-40
    • Naudts, J.1
  • 77
    • 21244469885 scopus 로고    scopus 로고
    • Escort density operators and generalized quantum information measures
    • DOI 10.1007/s11080-005-0483-5
    • Naudts, J.: Escort operators and generalized quantum information measures. Open Systems and Information Dynamics 12, 13-22 (2005) 162, 177 (Pubitemid 40901097)
    • (2005) Open Systems and Information Dynamics , vol.12 , Issue.1 , pp. 13-22
    • Naudts, J.1
  • 78
    • 33645993579 scopus 로고    scopus 로고
    • Parameter estimation in nonextensive thermostatistics
    • 36, 162
    • Naudts, J.: Parameter estimation in nonextensive thermostatistics. Physica A 365, 42-49 (2006) 36, 162
    • (2006) Physica A , vol.365 , pp. 42-49
    • Naudts, J.1
  • 79
    • 4944226761 scopus 로고    scopus 로고
    • Continuity of a class of entropies and relative entropies
    • Errata. Rev. Math. Phys. 21, 947-948 (2009) 129, 162, 177
    • Naudts, J.: Continuity of a class of entropies and relative entropies. Rev. Math. Phys. 16, 809822 (2004); Errata. Rev. Math. Phys. 21, 947-948 (2009) 129, 162, 177
    • (2004) Rev. Math. Phys. , vol.16 , pp. 809822
    • Naudts, J.1
  • 81
    • 4944257863 scopus 로고    scopus 로고
    • Q-deformed entropies and Fisher metrics
    • P. Kasperkovitz, D. Grau (eds.) August 25-29, 1997, Vienna, Austria World Scientific, Singapore 123, 177
    • Abe, S.: q-deformed entropies and Fisher metrics. In: P. Kasperkovitz, D. Grau (eds.) Proceedings of The 5th International Wigner Symposium, August 25-29, 1997, Vienna, Austria, p. 66. World Scientific, Singapore (1998) 123, 177
    • (1998) Proceedings of the 5th International Wigner Symposium , pp. 66
    • Abe, S.1
  • 82
    • 0242410738 scopus 로고    scopus 로고
    • Geometry of escort distributions
    • 177
    • Abe, S.: Geometry of escort distributions. Phys. Rev. E 68, 031101 (2003) 177
    • (2003) Phys. Rev. e , vol.68 , pp. 031101
    • Abe, S.1
  • 83
    • 0003355631 scopus 로고
    • Differential-geometrical methods in statistics
    • Springer, New York, Berlin 177
    • Amari, S.: Differential-geometrical methods in statistics, Lecture Notes in Statistics, vol. 28. Springer, New York, Berlin (1985) 177
    • (1985) Lecture Notes in Statistics , vol.28
    • Amari, S.1
  • 85
    • 0242411895 scopus 로고    scopus 로고
    • Generalized thermodynamics and Fokker-Planck equations: Applications to stellar dynamics and two-dimensional turbulence
    • 177
    • Chavanis, P.H.: Generalized thermodynamics and Fokker-Planck equations: Applications to stellar dynamics and two-dimensional turbulence. Phys. Rev. E 68, 036108 (2003) 177
    • (2003) Phys. Rev. e , vol.68 , pp. 036108
    • Chavanis, P.H.1
  • 86
    • 0001549935 scopus 로고    scopus 로고
    • Maximum entropy fundamentals
    • Harremöes, P., Topsøe, F.: Maximum entropy fundamentals. Entropy 3, 191-226 (2001) 169 (Pubitemid 38972701)
    • (2001) Entropy , vol.3 , Issue.3 , pp. 191-226
    • Harremoes, P.1    Topsoe, F.2
  • 88
    • 10344224541 scopus 로고    scopus 로고
    • Estimators, escort probabilities, and phi-exponential families in statistical physics
    • 112, 162, 177
    • Naudts, J.: Estimators, escort probabilities, and phi-exponential families in statistical physics. J. Ineq. Pure Appl. Math. 5, 102 (2004) 112, 162, 177
    • (2004) J. Ineq. Pure Appl. Math. , vol.5 , pp. 102
    • Naudts, J.1
  • 89
    • 21244469885 scopus 로고    scopus 로고
    • Escort density operators and generalized quantum information measures
    • DOI 10.1007/s11080-005-0483-5
    • Naudts, J.: Escort operators and generalized quantum information measures. Open Systems and Information Dynamics 12, 13-22 (2005) 162, 177 (Pubitemid 40901097)
    • (2005) Open Systems and Information Dynamics , vol.12 , Issue.1 , pp. 13-22
    • Naudts, J.1
  • 90
    • 4944226761 scopus 로고    scopus 로고
    • Continuity of a class of entropies and relative entropies
    • DOI 10.1142/S0129055X04002151
    • Naudts, J.: Continuity of a class of entropies and relative entropies. Rev. Math. Phys. 16, 809-822 (2004); Errata. Rev. Math. Phys. 21, 947-948 (2009) 129, 162, 177 (Pubitemid 39332924)
    • (2004) Reviews in Mathematical Physics , vol.16 , Issue.6 , pp. 809-822
    • Naudts, J.1
  • 91
    • 77950472558 scopus 로고    scopus 로고
    • A dually flat structure on the space of escort distributions
    • 177
    • Ohara, A., Matsuzoe, H., Amari, S.: A dually flat structure on the space of escort distributions. J. Phys.: Conf. Ser. 201, 012012 (2010) 177
    • (2010) J. Phys.: Conf. Ser. , vol.201 , pp. 012012
    • Ohara, A.1    Matsuzoe, H.2    Amari, S.3
  • 95
    • 3042774556 scopus 로고    scopus 로고
    • Entropy and equilibrium via games of complexity
    • 169
    • Topsøe, F.: Entropy and equilibrium via games of complexity. Physica A 340, 11-31 (2004) 169
    • (2004) Physica A , vol.340 , pp. 11-31
    • Topsøe, F.1
  • 96
    • 0007356467 scopus 로고    scopus 로고
    • Group-theoretical construction of the quantum relativistics harmonic osticillator
    • DOI 10.1016/0034-4877(96)84075-4
    • Aldaya, V., Bisquert, J., Guerrero, J., Navarro-Salas, J.: Group theoretic construction of the quantum relativistic harmonic oscillator. Rep. Math. Phys. 37, 387-418 (1996) 112 (Pubitemid 126164265)
    • (1996) Reports on Mathematical Physics , vol.37 , Issue.3 , pp. 387-418
    • Aldaya, V.1    Bisquert, J.2    Guerrero, J.3    Navarro-Salas, J.4
  • 97
    • 0242635612 scopus 로고    scopus 로고
    • Multiplicative noise: A mechanism leading to nonextensive statistical mechanics
    • 112
    • Anteneodo, C., Tsallis, C.: Multiplicative noise: A mechanism leading to nonextensive statistical mechanics. J. Math. Phys. 44, 5194 (2003) 112
    • (2003) J. Math. Phys. , vol.44 , pp. 5194
    • Anteneodo, C.1    Tsallis, C.2
  • 100
    • 0000339174 scopus 로고
    • Temperature inversion in the Io-plasma torus
    • 110
    • Meyer-Vernet, N., Moncuquet, M., Hoang, S.: Temperature inversion in the Io-plasma torus. Icarus 116, 202-213 (1995) 110
    • (1995) Icarus , vol.116 , pp. 202-213
    • Meyer-Vernet, N.1    Moncuquet, M.2    Hoang, S.3
  • 101
    • 0037114585 scopus 로고    scopus 로고
    • Deformed exponentials and logarithms in generalized thermostatistics
    • DOI 10.1016/S0378-4371(02)01018-X, PII S037843710201018X
    • Naudts, J.: Deformed exponentials and logarithms in generalized thermostatis-tics. Physica A 316, 323-334 (2002) 112, 162 (Pubitemid 35385253)
    • (2002) Physica A: Statistical Mechanics and its Applications , vol.316 , Issue.1-4 , pp. 323-334
    • Naudts, J.1
  • 102
    • 10344224541 scopus 로고    scopus 로고
    • Estimators, escort probabilities, and phi-exponential families in statistical physics
    • 112, 162, 177
    • Naudts, J.: Estimators, escort probabilities, and phi-exponential families in statistical physics. J. Ineq. Pure Appl. Math. 5, 102 (2004) 112, 162, 177
    • (2004) J. Ineq. Pure Appl. Math. , vol.5 , pp. 102
    • Naudts, J.1
  • 103
    • 70349855051 scopus 로고    scopus 로고
    • Non-extensivity of the configurational density distribution in the classical microcanonical ensemble
    • 113
    • Naudts, J., Baeten, M.: Non-extensivity of the configurational density distribution in the classical microcanonical ensemble. Entropy 11, 285-294 (2009) 113
    • (2009) Entropy , vol.11 , pp. 285-294
    • Naudts, J.1    Baeten, M.2
  • 104
    • 0000428659 scopus 로고
    • What are the numbers that experiments provide?
    • 112
    • Tsallis, C.: What are the numbers that experiments provide? Quimica Nova 17, 468 (1994) 112
    • (1994) Quimica Nova , vol.17 , pp. 468
    • Tsallis, C.1
  • 105
    • 0032299256 scopus 로고    scopus 로고
    • The role of constraints within generalized nonextensive statistics
    • 112, 117, 129
    • Tsallis, C, Mendes, R., Plastino, A.: The role of constraints within generalized nonextensive statistics. Physica A 261, 543-554 (1998) 112, 117, 129
    • (1998) Physica A , vol.261 , pp. 543-554
    • Tsallis, C.1    Mendes, R.2    Plastino, A.3
  • 106
    • 70350732573 scopus 로고    scopus 로고
    • A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces
    • 112
    • Vignat, C, Lamberti, P.: A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces. J. Math. Phys. 50, 103514 (2009) 112
    • (2009) J. Math. Phys. , vol.50 , pp. 103514
    • Vignat, C.1    Lamberti, P.2
  • 107
  • 108
    • 72449207715 scopus 로고    scopus 로고
    • Tsallis distribution from minimally selected order statistics
    • S. Abe, H. Herrmann, P. Quarati, A. Rapisarda, C. Tsallis (eds.) American Institute of Physics 111
    • Wilk, G., Wlodarczyk, Z.: Tsallis distribution from minimally selected order statistics. In: S. Abe, H. Herrmann, P. Quarati, A. Rapisarda, C. Tsallis (eds.) Complexity, metastability and nonextensivity, AIP Conference Proceedings, vol. 965, pp. 76-79. American Institute of Physics (2007) 111
    • (2007) Complexity, Metastability and Nonextensivity, AIP Conference Proceedings , vol.965 , pp. 76-79
    • Wilk, G.1    Wlodarczyk, Z.2
  • 109
    • 0041577429 scopus 로고    scopus 로고
    • A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics
    • PII S0375960196008328
    • Abe, S.: A note on the q-deformation-theoretic aspect of the generalized entropies in nonextensive physics. Phys. Lett. A 224, 326-330 (1997) 128 (Pubitemid 127416659)
    • (1997) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.224 , Issue.6 , pp. 326-330
    • Abe, S.1
  • 110
    • 4944257863 scopus 로고    scopus 로고
    • Q-deformed entropies and Fisher metrics
    • P. Kasperkovitz, D. Grau (eds.) August 25-29, 1997, Vienna, Austria World Scientific, Singapore 123, 177
    • Abe, S.: q-deformed entropies and Fisher metrics. In: P. Kasperkovitz, D. Grau (eds.) Proceedings of The 5th International Wigner Symposium, August 25-29, 1997, Vienna, Austria, p. 66. World Scientific, Singapore (1998) 123, 177
    • (1998) Proceedings of the 5th International Wigner Symposium , pp. 66
    • Abe, S.1
  • 112
    • 33845870923 scopus 로고    scopus 로고
    • Tsallis ensemble as an exact orthode
    • 129
    • Campisi, M., Bagci, G.B.: Tsallis ensemble as an exact orthode. Phys. Lett. A 362, 11-15 (2007) 129
    • (2007) Phys. Lett. A , vol.362 , pp. 11-15
    • Campisi, M.1    Bagci, G.B.2
  • 113
    • 0014747331 scopus 로고
    • Generalized information functions
    • 115
    • Daŕoczy, Z.: Generalized information functions. Inform. Control 16, 36-51 (1970) 115
    • (1970) Inform. Control , vol.16 , pp. 36-51
    • Daŕoczy, Z.1
  • 114
    • 0002453010 scopus 로고
    • Quantification method of classification processes: Concept of structural α-entropy
    • 115
    • Havrda, J., Charvat, F.: Quantification method of classification processes: concept of structural α-entropy. Kybernetica 3, 30-35 (1967) 115
    • (1967) Kybernetica , vol.3 , pp. 30-35
    • Havrda, J.1    Charvat, F.2
  • 115
  • 117
    • 0346215808 scopus 로고    scopus 로고
    • Generalized thermostatistics and mean field theory
    • 129, 162
    • Naudts, J.: Generalized thermostatistics and mean field theory. Physica A 332, 279-300 (2004) 129, 162
    • (2004) Physica A , vol.332 , pp. 279-300
    • Naudts, J.1
  • 118
    • 4944226761 scopus 로고    scopus 로고
    • Continuity of a class of entropies and relative entropies
    • Errata. Rev. Math. Phys. 21, 947-948 (2009) 129, 162, 177
    • Naudts, J.: Continuity of a class of entropies and relative entropies. Rev. Math. Phys. 16, 809822 (2004); Errata. Rev. Math. Phys. 21, 947-948 (2009) 129, 162, 177
    • (2004) Rev. Math. Phys. , vol.16 , pp. 809822
    • Naudts, J.1
  • 120
    • 4243683437 scopus 로고    scopus 로고
    • Implications of form invariance to the structure of nonextensive entropies
    • Rajagopal, A., Abe, S.: Implications of form invariance to the structure of nonex-tensive entropies. Phys. Rev. Lett. 83, 1711-1714 (1999) 128 (Pubitemid 129689809)
    • (1999) Physical Review Letters , vol.83 , Issue.9 , pp. 1711-1714
    • Rajagopal, A.K.1    Abe, S.2
  • 121
    • 0000918028 scopus 로고    scopus 로고
    • H-theorem with generalized relative entropies and the Tsallis statistics
    • 123
    • Shiino, M.: H-theorem with generalized relative entropies and the Tsallis statistics. J. Phys. Soc. Jpn. 67(11), 3658-3660 (1998) 123
    • (1998) J. Phys. Soc. Jpn. , vol.67 , Issue.11 , pp. 3658-3660
    • Shiino, M.1
  • 123
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • 115
    • Tsallis, C: Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479-487 (1988) 115
    • (1988) J. Stat. Phys. , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 125
    • 0032299256 scopus 로고    scopus 로고
    • The role of constraints within generalized nonextensive statistics
    • 112, 117, 129
    • Tsallis, C, Mendes, R., Plastino, A.: The role of constraints within generalized nonextensive statistics. Physica A 261, 543-554 (1998) 112, 117, 129
    • (1998) Physica A , vol.261 , pp. 543-554
    • Tsallis, C.1    Mendes, R.2    Plastino, A.3
  • 126
    • 29444456404 scopus 로고    scopus 로고
    • Information theory based on nonadditive information content
    • 128
    • Yamano, T.: Information theory based on nonadditive information content. Phys. Rev. E 63, 046105 (2001) 128
    • (2001) Phys. Rev. e , vol.63 , pp. 046105
    • Yamano, T.1
  • 127
    • 0036495402 scopus 로고    scopus 로고
    • Source coding theorem based on a nonadditive information content
    • DOI 10.1016/S0378-4371(01)00660-4, PII S0378437101006604
    • Yamano, T.: Source coding theorem based on a nonadditive information content. Physica A 305, 190-195 (2002) 128 (Pubitemid 34222982)
    • (2002) Physica A: Statistical Mechanics and its Applications , vol.305 , Issue.1-2 , pp. 190-195
    • Yamano, T.1
  • 128
    • 84891968793 scopus 로고    scopus 로고
    • http://www.gutenberg.org/catalog/145
  • 129
    • 84891970802 scopus 로고
    • Akadémiai Kiad́o, Budapest 132
    • Selected Papers of Alfréd Rényi, Vol. 2. Akadémiai Kiad́o, Budapest (1976) 132
    • (1976) Selected Papers of Alfréd Rényi , vol.2
  • 132
    • 0037124346 scopus 로고    scopus 로고
    • Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations
    • 143, 145, 146, 147
    • Czachor, M., Naudts, J.: Thermostatistics based on Kolmogorov-Nagumo averages: Unifying framework for extensive and nonextensive generalizations. Phys. Lett. A 298, 369-374 (2002) 143, 145, 146, 147
    • (2002) Phys. Lett. A , vol.298 , pp. 369-374
    • Czachor, M.1    Naudts, J.2
  • 133
    • 0034299656 scopus 로고    scopus 로고
    • Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
    • 147
    • Frank, T., Daffertshofer, A.: Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal. Physica A 285, 351-366 (2000) 147
    • (2000) Physica A , vol.285 , pp. 351-366
    • Frank, T.1    Daffertshofer, A.2
  • 134
    • 0041902287 scopus 로고    scopus 로고
    • Generalized thermostatistics based on the Sharma-Mittal entropy and escort mean values
    • DOI 10.1140/epjb/e2002-00412-6
    • Frank, T., Plastino, A.: Generalized thermostatistics based on the Sharma-Mittal entropy and escort mean values. Eur. Phys. J. B 30, 543-549 (2002) 147 (Pubitemid 135695569)
    • (2002) European Physical Journal B , vol.30 , Issue.4 , pp. 543-549
    • Frank, T.D.1    Plastino, A.R.2
  • 135
    • 3342916075 scopus 로고
    • Fractal measures and their singularities: The characterization of strange sets
    • 147
    • Halsey, T.C., Jensen, M., Kadanoff, L., Procaccia, I., Shraiman, B.: Fractal measures and their singularities: The characterization of strange sets. Phys. Rev. A 33, 1141-1151 (1986) 147
    • (1986) Phys. Rev. A , vol.33 , pp. 1141-1151
    • Halsey, T.C.1    Jensen, M.2    Kadanoff, L.3    Procaccia, I.4    Shraiman, B.5
  • 136
    • 0003229111 scopus 로고
    • Information theory and psycholinguistics: A theory of word frequencies
    • P. Lazarsfield, N. Henry (eds.) MIT Press 145
    • Mandelbrot, B.: Information theory and psycholinguistics: a theory of word frequencies. In: P. Lazarsfield, N. Henry (eds.) Readings in mathematical social sciences, pp. 151-168. MIT Press (1966) 145
    • (1966) Readings in Mathematical Social Sciences , pp. 151-168
    • Mandelbrot, B.1
  • 139
    • 0035889615 scopus 로고    scopus 로고
    • Beyond the Zipf-Mandelbrot law in quantitative linguistics
    • DOI 10.1016/S0378-4371(01)00355-7, PII S0378437101003557
    • Montemurro, M.: Beyond the Zipf-Mandelbrot law in quantitative linguistics. Physica A 300, 567-578 (2001) 145, 146 (Pubitemid 32997820)
    • (2001) Physica A: Statistical Mechanics and its Applications , vol.300 , Issue.3-4 , pp. 567-578
    • Montemurro, M.A.1
  • 140
    • 84892001782 scopus 로고    scopus 로고
    • Multifractal processes
    • P. Doukhan, G. Oppenheim, M. Taqqu (eds.) 141, 147
    • Riedi, R.: Multifractal processes. In: P. Doukhan, G. Oppenheim, M. Taqqu (eds.) Theory of Long-Range Dependence. Birkḧauser (2002) 141, 147
    • (2002) Theory of Long-Range Dependence. Birkḧauser
    • Riedi, R.1
  • 141
    • 0003106319 scopus 로고
    • New nonadditive measures of inaccuracy
    • 143
    • Sharma, B., Mittal, D.: New nonadditive measures of inaccuracy. J. Math. Sci. 10, 28 (1975) 143
    • (1975) J. Math. Sci. , vol.10 , pp. 28
    • Sharma, B.1    Mittal, D.2
  • 142
    • 0003042571 scopus 로고    scopus 로고
    • Is re-association in folded proteins a case of nonextensivity?
    • 144
    • Tsallis, C., Bemski, G., Mendes, R.: Is re-association in folded proteins a case of nonextensivity? Phys. Lett. A 257, 93-98 (1999) 144
    • (1999) Phys. Lett. A , vol.257 , pp. 93-98
    • Tsallis, C.1    Bemski, G.2    Mendes, R.3


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