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Contemporary Physics Volume 50, 2009 - Issue 4
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Articles

Generalised information and entropy measures in physics

Christian Beck School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, UKCorrespondence[email protected]
Pages 495-510 | Received 21 Dec 2008, Accepted 13 Feb 2009, Published online: 15 May 2009

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KAMEL OURABAH & MOULOUD TRIBECHE. (2013) NONEXTENSIVE STATISTICAL MECHANICS APPROACH TO THE SOMMERFELD MODEL FOR METALLIC ELEMENTS. International Journal of Modern Physics B 27:31, pages 1350181.
Crossref
Georgy P Karev & Eugene V Koonin. (2013) Parabolic replicator dynamics and the principle of minimum Tsallis information gain. Biology Direct 8:1.
Crossref
J.A. Tenreiro Machado. (2013) Complex evolution of a multi-particle system. Applied Mathematical Modelling 37:22, pages 9203-9214.
Crossref
I.V. Toranzo, A.R. Plastino, J.S. Dehesa & A. Plastino. (2013) Quasi-stationary states of the NRT nonlinear Schr?dinger equation. Physica A: Statistical Mechanics and its Applications 392:18, pages 3945-3951.
Crossref
J.-F. Bercher. (2013) Some properties of generalized Fisher information in the context of nonextensive thermostatistics. Physica A: Statistical Mechanics and its Applications 392:15, pages 3140-3154.
Crossref
Ping Ao, Tian-Qi Chen & Jiang-Hong Shi. (2013) Dynamical Decomposition of Markov Processes without Detailed Balance. Chinese Physics Letters 30:7, pages 070201.
Crossref
Shengbin Liao & Qingfu Zhang. (2013) Approximation for combinatorial network optimisation using Tsallis entropy. Electronics Letters 49:14, pages 882-884.
Crossref
S. Curilef, A.R. Plastino & A. Plastino. (2013) Tsallis’ maximum entropy ansatz leading to exact analytical time dependent wave packet solutions of a nonlinear Schrödinger equation. Physica A: Statistical Mechanics and its Applications 392:11, pages 2631-2642.
Crossref
Da-guan Ke. (2013) Unifying Complexity and Information. Scientific Reports 3:1.
Crossref
A. R. Plastino & C. Tsallis. (2013) Nonlinear Schroedinger equation in the presence of uniform acceleration. Journal of Mathematical Physics 54:4.
Crossref
A. M. SELVAM. (2013) SCALE-FREE UNIVERSAL SPECTRUM FOR ATMOSPHERIC AEROSOL SIZE DISTRIBUTION FOR DAVOS, MAUNA LOA AND IZANA. International Journal of Bifurcation and Chaos 23:02, pages 1350028.
Crossref
Shun-ichi Amari, Atsumi Ohara & Hiroshi Matsuzoe. (2012) Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries. Physica A: Statistical Mechanics and its Applications 391:18, pages 4308-4319.
Crossref
J. A. Tenreiro Machado. (2012) Entropy analysis of the genetic sequence of six species. Entropy analysis of the genetic sequence of six species.
Michel S. Elnaggar & Achim Kempf. (2012) Equivalence of Partition Functions Leads to Classification of Entropies and Means. Entropy 14:8, pages 1317-1342.
Crossref
Richard L. Magin & Carson Ingo. (2012) Entropy and Information in a Fractional Order Model of Anomalous Diffusion. IFAC Proceedings Volumes 45:16, pages 428-433.
Crossref
Richard L. Magin & Carson Ingo. (2012) Spectral entropy in a fractional order model of anomalous diffusion. Spectral entropy in a fractional order model of anomalous diffusion.
A.P. Majtey, A.R. Plastino & A. Plastino. (2012) New features of quantum discord uncovered by -entropies . Physica A: Statistical Mechanics and its Applications 391:7, pages 2491-2499.
Crossref
Tadeusz Koszto?owicz & Katarzyna Lewandowska. (2012) Conciliating the nonadditive entropy approach and the fractional model formulation when describing subdiffusion. Open Physics 10:3.
Crossref
J. A. Tenreiro Machado. (2012) Shannon Information and Power Law Analysis of the Chromosome Code. Abstract and Applied Analysis 2012, pages 1-13.
Crossref
Miguel F. M. Lima, J. A. Tenreiro Machado & Ant?nio C. Costa. (2012) A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane. Abstract and Applied Analysis 2012, pages 1-14.
Crossref
J. A. Tenreiro Machado. (2012) Shannon Entropy Analysis of the Genome Code. Mathematical Problems in Engineering 2012, pages 1-12.
Crossref
J.A. Tenreiro Machado, Ant?nio C. Costa & Maria Dulce Quelhas. (2011) Shannon, R?nyie and Tsallis entropy analysis of DNA using phase plane. Nonlinear Analysis: Real World Applications 12:6, pages 3135-3144.
Crossref
J.A. Tenreiro Machado. (2011) Fractional dynamics of a system with particles subjected to impacts. Communications in Nonlinear Science and Numerical Simulation 16:12, pages 4596-4601.
Crossref
J. A. Tenreiro Machado, António C. Costa & Miguel F. M. Lima. (2010) Dynamical analysis of compositions. Nonlinear Dynamics 65:4, pages 399-412.
Crossref
E. V. VAKARIN & J. P. BADIALI. (2011) A LINK BETWEEN THE MAXIMUM ENTROPY APPROACH AND THE VARIATIONAL ENTROPY FORM. Modern Physics Letters B 25:22, pages 1821-1828.
Crossref
Kenric P. Nelson, Brian J. Scannell & Herbert Landau. (2011) A Risk Profile for Information Fusion Algorithms. Entropy 13:8, pages 1518-1532.
Crossref
J.-F. Bercher. (2011) Escort entropies and divergences and related canonical distribution. Physics Letters A 375:33, pages 2969-2973.
Crossref
J.A. Tenreiro Machado, Ant?nio C. Costa & Maria Dulce Quelhas. (2011) Entropy analysis of the DNA code dynamics in human chromosomes. Computers & Mathematics with Applications 62:3, pages 1612-1617.
Crossref
J. A. Tenreiro Machado. (2010) Entropy analysis of integer and fractional dynamical systems. Nonlinear Dynamics 62:1-2, pages 371-378.
Crossref
M. Ponmurugan. (2010) Generalized detailed fluctuation theorem under nonequilibrium feedback control. Physical Review E 82:3.
Crossref
Alexander N. Gorban, Pavel A. Gorban & George Judge. (2010) Entropy: The Markov Ordering Approach. Entropy 12:5, pages 1145-1193.
Crossref
M.S. Elnaggar & A. Kempf. (2009) On a generic entropy measure in physics and information. On a generic entropy measure in physics and information.
Xiao Huang, Yuhui Zhao, Siqin Wang, Xiao Li, Di Yang, Yu Feng, Yang Xu, Liao Zhu & Biyu Chen. (2022) Unfolding Community Homophily in U.S. Metropolitans Via Fine-Grained Mobile Phone Location Data. SSRN Electronic Journal.
Crossref
Purusottam Nayak & S. K. Mishra. (2012) Efficiency of Pena’s P2 Distance in Construction of Human Development Indices. SSRN Electronic Journal.
Crossref
S. K. Mishra. (2012) A Maximum Entropy Perspective of Pena’s Synthetic Indicators. SSRN Electronic Journal.
Crossref

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