-
1
-
-
70349461312
-
Complexity, metastability and nonextensivity
-
American Institute of Physics
-
Abe, S., Herrmann, H., Quarati, P., Rapisarda, A., Tsallis, C. (eds.): Complexity, metastability and nonextensivity, AIP Conference Proceedings, vol. 965. American Institute of Physics (2007) vi
-
(2007)
AIP Conference Proceedings
, vol.965
-
-
Abe, S.1
Herrmann, H.2
Quarati, P.3
Rapisarda, A.4
Tsallis, C.5
-
2
-
-
67650242997
-
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
-
3
-
-
0004049101
-
-
Wiley, New York v, 23, 37
-
Callen, H.: Thermodynamics and an Introduction to Thermostatistics, 2nd edn. Wiley, New York (1985) v, 23, 37
-
(1985)
Thermodynamics and An Introduction to Thermostatistics, 2nd Edn
-
-
Callen, H.1
-
5
-
-
0003504547
-
-
Reprint. Dover, New York v, 5, 56, 66
-
Gibbs, J.W.: Elementary principles in statistical mechanics. Reprint. Dover, New York (1960) v, 5, 56, 66
-
(1960)
Elementary Principles in Statistical Mechanics
-
-
Gibbs, J.W.1
-
6
-
-
20844442076
-
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
-
8
-
-
0003504547
-
-
Reprint. Dover, New York v, 5, 56, 66
-
Gibbs, J.W.: Elementary principles in statistical mechanics. Reprint. Dover, New York (1960) v, 5, 56, 66
-
(1960)
Elementary Principles in Statistical Mechanics
-
-
Gibbs, J.W.1
-
10
-
-
0004049101
-
-
Wiley, New York v, 23, 37
-
Callen, H.: Thermodynamics and an Introduction to Thermostatistics, 2nd edn. Wiley, New York (1985) v, 23, 37
-
(1985)
Thermodynamics and An Introduction to Thermostatistics, 2nd Edn
-
-
Callen, H.1
-
11
-
-
33645993579
-
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
-
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
-
13
-
-
0004049101
-
-
Wiley, New York v, 23, 37
-
Callen, H.: Thermodynamics and an Introduction to Thermostatistics, 2nd edn. Wiley, New York (1985) v, 23, 37
-
(1985)
Thermodynamics and An Introduction to Thermostatistics, 2nd Edn
-
-
Callen, H.1
-
14
-
-
0000063775
-
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
-
15
-
-
0003937574
-
-
Longmans, Green, and Co., London, New York and Bombay
-
Gibbs, J.W.: Scientific papers, Vol. I. Thermodynamics. Longmans, Green, and Co., London, New York and Bombay (1906) 45
-
(1906)
Scientific Papers, Vol. I. Thermodynamics
, pp. 45
-
-
Gibbs, J.W.1
-
16
-
-
11944266539
-
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
-
18
-
-
84885781093
-
-
Springer-Verlag, Berlin Heidelberg 38, 51
-
Müller, I.: A History of Thermodynamics. Springer-Verlag, Berlin Heidelberg (2007) 38, 51
-
(2007)
A History of Thermodynamics
-
-
Müller, I.1
-
19
-
-
33344458604
-
-
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
-
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
-
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
31
-
-
0003504547
-
-
Reprint. Dover, New York v, 5, 56, 66
-
Gibbs, J.W.: Elementary principles in statistical mechanics. Reprint. Dover, New York (1960) v, 5, 56, 66
-
(1960)
Elementary Principles in Statistical Mechanics
-
-
Gibbs, J.W.1
-
32
-
-
33144456594
-
Canonical typicality
-
66
-
Goldstein, S., Lebowitz, J., Tumulka, R., Zanghi, N.: Canonical typicality. Phys. Rev. Lett. 96, 050403 (2006) 66
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 050403
-
-
Goldstein, S.1
Lebowitz, J.2
Tumulka, R.3
Zanghi, N.4
-
33
-
-
33845890805
-
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
-
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
-
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
-
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
-
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
-
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
-
40
-
-
3543148320
-
Invariant measures under Schr̈odinger evolution and quantum statistical mechanics
-
F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. R̈ockner, S. Scarlatti (eds.) 66
-
Jona-Lasinio, G.: Invariant measures under Schr̈odinger evolution and quantum statistical mechanics. In: F. Gesztesy, H. Holden, J. Jost, S. Paycha, M. R̈ockner, S. Scarlatti (eds.) Stochastic Processes, Physics and Geometry: New Interplays. I: A Volume in Honor of Sergio Albeverio. Canadian Mathematical Society Conference Proceedings, vol. 28, pp. 239-242 (2000) 66
-
(2000)
Stochastic Processes, Physics and Geometry: New Interplays. I: A Volume in Honor of Sergio Albeverio. Canadian Mathematical Society Conference Proceedings
, vol.28
, pp. 239-242
-
-
Jona-Lasinio, G.1
-
42
-
-
77957037729
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
58
-
-
0003417636
-
-
2nd edition. Springer, New York, Berlin 91
-
Bratteli, O., Robinson, D.: Operator Algebras and Quantum Statistical Mechanics. Vol I, II. 2nd edition. Springer, New York, Berlin (1997) 91
-
(1997)
Operator Algebras and Quantum Statistical Mechanics.
, vol.1-2
-
-
Bratteli, O.1
Robinson, D.2
-
59
-
-
0141913389
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
72
-
-
0036495547
-
A new one-parameter deformation of the exponential function
-
DOI 10.1016/S0378-4371(01)00642-2, PII S0378437101006422
-
Kaniadakis, G., Scarfone, A.: A new one parameter deformation of the exponential function. Physica A 305, 69-75 (2002) 128, 152, 176 (Pubitemid 34228517)
-
(2002)
Physica A: Statistical Mechanics and its Applications
, vol.305
, Issue.1-2
, pp. 69-75
-
-
Kaniadakis, G.1
Scarfone, A.M.2
-
73
-
-
0037114585
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
84
-
-
0001068326
-
A family of nonextensive entropies
-
PII S0375960198005726
-
Borges, E., Roditi, I.: A family of nonextensive entropies. Phys. Lett. A 246, 399-402 (1998) 128, 176 (Pubitemid 128400792)
-
(1998)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.246
, Issue.5
, pp. 399-402
-
-
Borges, E.P.1
Roditi, I.2
-
85
-
-
0242411895
-
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
-
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
-
87
-
-
0036495547
-
A new one-parameter deformation of the exponential function
-
DOI 10.1016/S0378-4371(01)00642-2, PII S0378437101006422
-
Kaniadakis, G., Scarfone, A.: A new one parameter deformation of the exponential function. Physica A 305, 69-75 (2002) 128, 152, 176 (Pubitemid 34228517)
-
(2002)
Physica A: Statistical Mechanics and its Applications
, vol.305
, Issue.1-2
, pp. 69-75
-
-
Kaniadakis, G.1
Scarfone, A.M.2
-
88
-
-
10344224541
-
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
-
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
-
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
-
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
-
92
-
-
0032165987
-
Rényi entropies and Fisher informations as measures of nonextensivity in a Tsallis setting
-
PII S0378437198002726
-
Pennini, F., Plastino, A., Plastino, A.: Rényi entropies and Fisher informations as measures of nonextensivity in a Tsallis setting. Physica 258, 446-457 (1998) 177 (Pubitemid 128416827)
-
(1998)
Physica A: Statistical Mechanics and its Applications
, vol.258
, Issue.3-4
, pp. 446-457
-
-
Plastino, A.1
Pennini, F.2
Plastino, A.R.3
-
95
-
-
3042774556
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
-
23144435579
-
The p-sphere and the geometric substratum of power-law probability distributions
-
DOI 10.1016/j.physleta.2005.05.027, PII S0375960105007280
-
Vignat, C, Plastino, A.: The p-sphere and the geometric substratum of power-law probability distributions. Phys. Lett. A 343, 411-416 (2005) 113 (Pubitemid 41080483)
-
(2005)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.343
, Issue.6
, pp. 411-416
-
-
Vignat, C.1
Plastino, A.2
-
108
-
-
72449207715
-
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
-
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
-
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
-
111
-
-
0001068326
-
A family of nonextensive entropies
-
PII S0375960198005726
-
Borges, E., Roditi, I.: A family of nonextensive entropies. Phys. Lett. A 246, 399-402 (1998) 128, 176 (Pubitemid 128400792)
-
(1998)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.246
, Issue.5
, pp. 399-402
-
-
Borges, E.P.1
Roditi, I.2
-
112
-
-
33845870923
-
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
-
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
-
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
-
-
0036495547
-
A new one-parameter deformation of the exponential function
-
DOI 10.1016/S0378-4371(01)00642-2, PII S0378437101006422
-
Kaniadakis, G., Scarfone, A.: A new one parameter deformation of the exponential function. Physica A 305, 69-75 (2002) 128, 152, 176 (Pubitemid 34228517)
-
(2002)
Physica A: Statistical Mechanics and its Applications
, vol.305
, Issue.1-2
, pp. 69-75
-
-
Kaniadakis, G.1
Scarfone, A.M.2
-
116
-
-
0041939636
-
Distributions and channel capacities in generalized statistical mechanics
-
PII S0375960198005003
-
Landsberg, P., Vedral, V.: Distributions and channel capacities in generalized statistical mechanics. Phys. Lett. A 247, 211-217 (1998) 128 (Pubitemid 128401724)
-
(1998)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.247
, Issue.3
, pp. 211-217
-
-
Landsberg, P.T.1
Vedral, V.2
-
117
-
-
0346215808
-
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
-
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
-
119
-
-
0000672234
-
On the universality of thermodynamics' Legendre transform structure
-
PII S0375960196009425
-
Plastino, A., Plastino, A.: On the universality of thermodynamics' Legendre transform structure. Phys. Lett. A 226, 257-263 (1997) 129 (Pubitemid 127381058)
-
(1997)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.226
, Issue.5
, pp. 257-263
-
-
Plastino, A.1
Plastino, A.R.2
-
120
-
-
4243683437
-
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
-
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
-
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
-
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
-
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
-
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
-
-
http://www.gutenberg.org/catalog/145
-
-
-
-
129
-
-
84891970802
-
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
|