Entropy Short Title: Entropy Publisher: Multidisciplinary Digital Publishing Institute (MDPI), Basel ISSN: 1099-4300/e Online: http://www.mdpi.com/journal/entropy Comments: Journal; No longer indexed; Published electronic only as of Vol. 1 (1999). This journal is available open access. Documents Indexed: 685 Publications (1999–2015) References Indexed: 600 Publications with 23,215 References. all top 5 Latest Issues 17, No. 10 (2015) 17, No. 9 (2015) 17, No. 8 (2015) 17, No. 6 (2015) 17, No. 5 (2015) 17, No. 4 (2015) 17, No. 3 (2015) 17, No. 2 (2015) 17, No. 1 (2015) 16, No. 12 (2014) 16, No. 11 (2014) 16, No. 10 (2014) 16, No. 9 (2014) 16, No. 8 (2014) 16, No. 7 (2014) 16, No. 6 (2014) 16, No. 5 (2014) 16, No. 4 (2014) 16, No. 3 (2014) 16, No. 2 (2014) 16, No. 1 (2014) 15, No. 12 (2013) 15, No. 11 (2013) 15, No. 10 (2013) 15, No. 9 (2013) 15, No. 8 (2013) 15, No. 7 (2013) 15, No. 6 (2013) 15, No. 5 (2013) 15, No. 4 (2013) 15, No. 3 (2013) 15, No. 2 (2013) 15, No. 1 (2013) 14, No. 12 (2012) 14, No. 11 (2012) 14, No. 10 (2012) 14, No. 9 (2012) 14, No. 8 (2012) 14, No. 7 (2012) 14, No. 6 (2012) 14, No. 5 (2012) 14, No. 4 (2012) 14, No. 3 (2012) 14, No. 2 (2012) 14, No. 1 (2012) 13, No. 12 (2011) 13, No. 11 (2011) 13, No. 10 (2011) 13, No. 9 (2011) 13, No. 8 (2011) 13, No. 7 (2011) 13, No. 6 (2011) 13, No. 5 (2011) 13, No. 4 (2011) 13, No. 3 (2011) 13, No. 2 (2011) 13, No. 1 (2011) 12, No. 12 (2010) 12, No. 11 (2010) 12, No. 10 (2010) 12, No. 9 (2010) 12, No. 8 (2010) 12, No. 7 (2010) 12, No. 6 (2010) 12, No. 5 (2010) 12, No. 4 (2010) 12, No. 3 (2010) 12, No. 2 (2010) 12, No. 1 (2010) 11, No. 4 (2009) 11, No. 3 (2009) 11, No. 2 (2009) 11, No. 1 (2009) 10, No. 4 (2008) 10, No. 3 (2008) 10, No. 2 (2008) 9, No. 4 (2007) 9, No. 3 (2007) 9, No. 1 (2007) 8, No. 4 (2006) 8, No. 3 (2006) 8, No. 2 (2006) 8, No. 1 (2006) 7, No. 4 (2005) 7, No. 2 (2005) 7, No. 1 (2005) 6, No. 5 (2004) 6, No. 4 (2004) 6, No. 3 (2004) 6, No. 2 (2004) 6, No. 1 (2004) 5, No. 4 (2003) 5, No. 3 (2003) 5, No. 2 (2003) 5, No. 1 (2003) 4, No. 6 (2002) 4, No. 5 (2002) 4, No. 4 (2002) 4, No. 3 (2002) 4, No. 2 (2002) ...and 10 more Volumes all top 5 Authors 9 Plastino, Angelo 6 Príncipe, José Carlos 5 Chen, Badong 5 Eguchi, Shinto 4 Abbod, Maysam F. 4 Amari, Shun-ichi 4 Ay, Nihat 4 Casas, Montserrat 4 Dehmer, Matthias 4 Feidt, Michel 4 Gzyl, Henryk 4 Hidouri, Nejib 4 Iñiguez, José C. 4 Isaacson, LaVar King 4 Magherbi, Mourad 4 Makinde, Oluwole Daniel 4 Mittelhammer, Ron C. 4 Naudts, Jan 4 Pennini, Flavia 4 Pistone, Giovanni 4 Sang, Yan-Fang 4 Shieh, Jiann-Shing 3 Bellucci, Stefano 3 Ben Brahim, Ammar 3 Bouabid, Mounir 3 Broadbridge, Philip 3 Cichocki, Andrzej 3 Dai, Bin 3 de Grange, Louis 3 Hou, Guolian 3 Ibrahim, Rabha Waell 3 Judge, George G. 3 Juretić, Davor 3 Komori, Osamu 3 Kowalski, Andres M. 3 Kuić, Domagoj 3 Luo, Yuan 3 Marsh, Thomas L. 3 Müller, Ingo 3 Ohara, Atsumi 3 Olivares, Felipe 3 Quarati, Piero 3 Ren, Mifeng 3 Scarfone, Antonio Maria 3 Schlatter, Andreas E. 3 Schulman, Lawrence S. 3 Shalyt-Margolin, Alexander E. 3 Wada, Tatsuaki 3 Wang, Dong 3 Wei, Qin 3 Wu, Jichun 3 Zhang, Jianhua 3 Zhou, Xiaobing 3 Županović, Paško 2 Abdullah, Shahrir 2 Al-Nimr, Mohammad Ahmad 2 Amigó, José María 2 Arnaud, Jacques 2 Baeten, Maarten 2 Balaji, Bhashyam 2 Băleanu, Dumitru I. 2 Balian, Roger 2 Barranco-Jiménez, Marco A. 2 Beretta, Gian Paolo 2 Berthoumieu, Yannick 2 Brevik, Iver Håkon 2 Bulut, Hasan 2 Burgin, Mark 2 Cafaro, Carlo 2 Cai, Xiaomei 2 Cardell, Nicholas Scott 2 Cerra, Daniele 2 Chan, Terence H. 2 Chen, Borsen 2 Chen, Zengqiang 2 Cho, Youngseuk 2 Chusseau, Laurent 2 Crompton, Peter R. 2 Datcu, Mihai 2 DeDeo, Simon 2 Descombes, Georges 2 Dodig-Crnkovic, Gordana 2 Dong, Yuxiang 2 Donoso, Pedro 2 El-Bakkali, Amin 2 Essex, Christopher 2 Fan, Shou-Zen 2 Faugeras, Olivier D. 2 Favretti, Marco 2 Feixas, Miquel 2 Flego, Silvana 2 Fontana, Nicola 2 Giménez, Angel 2 Golan, Amos 2 González, Felipe A. 2 Gorban, Alexander N. 2 Gough, Michael Paul 2 Grmela, Miroslav 2 Grøn, Øyvind Geelmuyden 2 Guttmann, Anthony John ...and 1,166 more Authors all top 5 Fields 236 Information and communication theory, circuits (94-XX) 157 Statistics (62-XX) 101 Statistical mechanics, structure of matter (82-XX) 92 Classical thermodynamics, heat transfer (80-XX) 90 Quantum theory (81-XX) 65 Relativity and gravitational theory (83-XX) 54 Biology and other natural sciences (92-XX) 49 Dynamical systems and ergodic theory (37-XX) 43 Fluid mechanics (76-XX) 40 Computer science (68-XX) 40 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Probability theory and stochastic processes (60-XX) 22 Systems theory; control (93-XX) 21 Partial differential equations (35-XX) 21 Astronomy and astrophysics (85-XX) 21 Operations research, mathematical programming (90-XX) 15 Differential geometry (53-XX) 14 Numerical analysis (65-XX) 13 Ordinary differential equations (34-XX) 13 Mechanics of deformable solids (74-XX) 13 Geophysics (86-XX) 8 Optics, electromagnetic theory (78-XX) 7 General and overarching topics; collections (00-XX) 7 Real functions (26-XX) 7 Special functions (33-XX) 6 Mathematical logic and foundations (03-XX) 6 Combinatorics (05-XX) 5 General topology (54-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 485 Publications have been cited 3,162 times in 2,694 Documents Cited by ▼ Year ▼ Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458 Atangana, Abdon; Alkahtani, Badr Saad T. 119 2015 Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030 Cichocki, Andrzej; Amari, Shun-Ichi 78 2010 New results on fractional power series: theories and applications. Zbl 1337.26010 El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 75 2013 On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025 Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen 69 2015 Axiomatic characterizations of information measures. Zbl 1179.94043 Csiszár, Imre 66 2008 Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122 Kosloff, Ronnie 64 2013 Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033 Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David 63 2012 Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories. Zbl 1297.83018 De La Cruz-Dombriz, Alvaro; Sáez-Gómez, Diego 62 2012 Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026 Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 59 2015 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056 Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 38 2015 \(stu\) black holes unveiled. Zbl 1179.83049 Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen 36 2008 Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028 Pereira, Carlos Alberto de Bragança; Stern, Julio Michael 36 1999 State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046 Sen, Ashoke 35 2011 Generalised exponential families and associated entropy functions. Zbl 1179.94048 Naudts, Jan 31 2008 Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073 Amari, Shun-Ichi; Ohara, Atsumi 30 2011 A characterization of entropy in terms of information loss. Zbl 1301.94043 Baez, John C.; Fritz, Tobias; Leinster, Tom 30 2011 Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039 Sheng, Yu-Bo; Zhou, Lan 29 2013 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034 Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 28 2014 A note on distance-based graph entropies. Zbl 1412.94134 Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 26 2014 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004 Tsallis, Constantino 24 2011 Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060 Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan 23 2013 Applications of entropy in finance: a review. Zbl 1422.91673 Zhou, Rongxi; Cai, Ru; Tong, Guanqun 23 2013 Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006 Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz 22 2012 Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392 Kaniadakis, Giorgio 22 2013 Effective conformal descriptions of black hole entropy. Zbl 1296.83034 Carlip, Steven 22 2011 Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036 Iliyasu, Abdullah M. 20 2013 Interval entropy and informative distance. Zbl 1306.62214 Misagh, Fakhroddin; Yari, Gholamhossein 19 2012 Cosmology of \(F(T)\) gravity and k-essence. Zbl 1297.83056 Myrzakulov, Ratbay 19 2012 Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048 Faraoni, Valerio 19 2010 Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040 Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B. 18 2012 Time series analysis using composite multiscale entropy. Zbl 1298.65020 Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen 18 2013 Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034 Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 18 2012 Maximum entropy fundamentals. Zbl 1006.94007 Harremoeës, P.; Topsøe, F. 18 2001 Entropy: the Markov ordering approach. Zbl 1229.60085 Gorban, Alexander N.; Gorban, Pavel A.; Judge, George 18 2010 Entropy and the complexity of graphs revisited. Zbl 1331.94041 Mowshowitz, Abbe; Dehmer, Matthias 17 2012 Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047 Khrennikov, Andrei 17 2008 The relation between Granger causality and directed information theory: a review. Zbl 06346067 Amblard, Pierre-Olivier; Michel, Olivier J. J. 16 2013 From \(f\)-divergence to quantum quasi-entropies and their use. Zbl 1229.81054 Petz, Dénes 16 2010 Entanglement entropy of AdS black holes. Zbl 1229.83045 Cadoni, Mariano; Melis, Maurizio 16 2010 Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095 Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M. 15 2013 Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144 Pistone, Giovanni 15 2013 Using quantum computers for quantum simulation. Zbl 1229.81062 Brown, Katherine L.; Munro, William J.; Kendon, Vivien M. 15 2010 Information theory and dynamical system predictability. Zbl 1229.94026 Kleeman, Richard 15 2011 Deformed exponentials and applications to finance. Zbl 1422.91725 Trivellato, Barbara 14 2013 Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062 Zhang, Jun 14 2013 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016 Ibrahim, Rabha W.; Jalab, Hamid A. 14 2015 Multivariate multi-scale permutation entropy for complexity analysis of Alzheimer’s disease EEG. Zbl 1314.92042 Morabito, Francesco Carlo; Labate, Domenico; La Foresta, Fabio; Bramanti, Alessia; Morabito, Giuseppe; Palamara, Isabella 14 2012 Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002 Eguchi, Shinto; Komori, Osamu; Kato, Shogo 13 2011 Thermal BEC black holes. Zbl 1338.83101 Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 13 2015 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028 Barbaresco, Frédéric 13 2014 Unconditionally secure quantum signatures. Zbl 1338.81158 Amiri, Ryan; Andersson, Erika 13 2015 The entropy of progressively censored samples. Zbl 1229.62134 Abo-Eleneen, Z. A. 13 2011 A philosophical treatise of universal induction. Zbl 1296.03007 Rathmanner, Samuel; Hutter, Marcus 12 2011 Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008 Landes, Jürgen; Williamson, Jon 12 2013 Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091 Wang, Linjun; Chen, Xumei 12 2015 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034 Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 12 2015 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044 Lods, Bertrand; Pistone, Giovanni 12 2015 All in action. Zbl 1229.82006 Annila, Arto 12 2010 Classes of \(N\)-dimensional nonlinear Fokker-Planck equations associated to Tsallis entropy. Zbl 1297.35242 Ribeiro, Mauricio S.; Nobre, Fernando D.; Curado, Evaldo M. F. 11 2011 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104 Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 11 2015 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018 Livingstone, Samuel; Girolami, Mark 11 2014 On the exact solution of wave equations on Cantor sets. Zbl 1338.35459 Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali 11 2015 Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181 Makinde, Oluwole Daniel 11 2011 Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045 Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie 11 2008 Entropy and divergence associated with power function and the statistical application. Zbl 1229.82010 Eguchi, Shinto; Kato, Shogo 11 2010 Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030 Gupta, Maya; Srivastava, Santosh 11 2010 Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133 Grössing, Gerhard 11 2010 On the microscopic perspective of black branes thermodynamic geometry. Zbl 1229.83043 Bellucci, Stefano; Tiwari, Bhupendra Nath 11 2010 Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287 Usta, Ilhan; Kantar, Yeliz Mert 11 2011 The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152 Gorban, Alexander N.; Shahzad, Muhammad 10 2011 Distances in probability space and the statistical complexity setup. Zbl 1306.62041 Kowalski, Andres M.; Martín, Maria Teresa; Plastino, Angelo; Rosso, Osvaldo A.; Casas, Montserrat 10 2011 Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153 Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees 10 2013 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005 Akın, Hasan 10 2003 Entropic forms and related algebras. Zbl 1305.82011 Scarfone, Antonio Maria 10 2013 A weighted generalized maximum entropy estimator with a data-driven weight. Zbl 1179.91209 Wu, Ximing 10 2009 A spacetime foam approach to the Schwarzschild-de Sitter entropy. Zbl 0996.83022 Garattini, Remo 10 2000 On the linear combination of exponential and gamma random variables. Zbl 1135.62307 Nadarajah, Saralees; Kotz, Samuel 10 2005 Entropy-related extremum principles for model reduction of dissipative dynamical systems. Zbl 1229.37019 Lebiedz, Dirk 10 2010 Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062 Zhou, Shengxi; Cao, Junyi; Chen, Yangquan 9 2013 Reliability of inference of directed climate networks using conditional mutual information. Zbl 1296.62218 Hlinka, Jaroslav; Hartman, David; Vejmelka, Martin; Runge, Jakob; Marwan, Norbert; Kurths, Jürgen; Paluš, Milan 9 2013 On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154 Nilsson, Johan 9 2013 Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387 Unakafova, Valentina A.; Keller, Karsten 9 2013 Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006 Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M. 9 2015 Information geometry on complexity and stochastic interaction. Zbl 1338.94032 Ay, Nihat 9 2015 Chirality and symmetry measures: a transdisciplinary review. Zbl 1078.00503 Petitjean, Michel 9 2003 Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004 Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey 9 2011 Thermodynamics of regular cosmological black holes with the de Sitter interior. Zbl 1296.83036 Dymnikova, Irina; Korpusik, Michał 9 2011 Speed-gradient entropy principle for nonstationary processes. Zbl 1179.82109 Fradkov, Alexander 9 2008 The role of Hellinger processes in mathematical finance. Zbl 1015.91030 Choulli, T.; Hurd, T. R. 9 2001 Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012 Topsøe, F. 9 2001 Static isolated horizons: \(SU(2)\) invariant phase space, quantization, and black hole entropy. Zbl 1229.83053 Perez, Alejandro; Pranzetti, Daniele 9 2011 On Darcy-Brinkman equation: viscous flow between two parallel plates packed with regular square arrays of cylinders. Zbl 1135.76312 Liu, Haidong; Patil, Prabhamani R.; Narusawa, Uichiro 9 2007 Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics. Zbl 1229.80021 Hangos, Katalin M. 9 2010 Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044 Collins, Benoît; Nechita, Ion 9 2010 Roofs and convexity. Zbl 1229.81056 Uhlmann, Armin 9 2010 An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052 Li, Junli; He, Zongyi; Zhu, Qiaoli 8 2013 An estimation of the entropy for a double exponential distribution based on multiply type-II censored samples. Zbl 1306.62210 Kang, Suk-Bok; Cho, Young-Seuk; Han, Jun-Tae; Kim, Jinsoo 8 2012 Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017 Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo 8 2012 Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348 Malagò, Luigi; Pistone, Giovanni 8 2014 New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090 Tuluce Demiray, Seyma; Bulut, Hasan 8 2015 Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458 Atangana, Abdon; Alkahtani, Badr Saad T. 119 2015 On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025 Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen 69 2015 Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026 Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 59 2015 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056 Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 38 2015 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016 Ibrahim, Rabha W.; Jalab, Hamid A. 14 2015 Thermal BEC black holes. Zbl 1338.83101 Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 13 2015 Unconditionally secure quantum signatures. Zbl 1338.81158 Amiri, Ryan; Andersson, Erika 13 2015 Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091 Wang, Linjun; Chen, Xumei 12 2015 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034 Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 12 2015 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044 Lods, Bertrand; Pistone, Giovanni 12 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104 Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 11 2015 On the exact solution of wave equations on Cantor sets. Zbl 1338.35459 Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali 11 2015 Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006 Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M. 9 2015 Information geometry on complexity and stochastic interaction. Zbl 1338.94032 Ay, Nihat 9 2015 New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090 Tuluce Demiray, Seyma; Bulut, Hasan 8 2015 Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160 Diamanti, Eleni; Leverrier, Anthony 8 2015 Entropy of weighted graphs with Randić weights. Zbl 1338.05266 Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang 8 2015 Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030 Malagò, Luigi; Pistone, Giovanni 6 2015 Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045 Matsuzoe, Hiroshi; Wada, Tatsuaki 6 2015 Generalized stochastic Fokker-Planck equations. Zbl 1338.60154 Chavanis, Pierre-Henri 6 2015 New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics. Zbl 1338.35089 Baskonus, Haci Mehmet; Bulut, Hasan 5 2015 Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005 Grmela, Miroslav 5 2015 Conformal gauge transformations in thermodynamics. Zbl 1338.80004 Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco 5 2015 A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026 Wilmers, George 5 2015 The Hosoya entropy of a graph. Zbl 1338.05267 Mowshowitz, Abbe; Dehmer, Matthias 5 2015 Entropies from coarse-graining: convex polytopes vs. ellipsoids. Zbl 1338.94041 Kalogeropoulos, Nikos 5 2015 Generalized boundary conditions for the time-fractional advection diffusion equation. Zbl 1338.35476 Povstenko, Yuriy 4 2015 A Bayesian decision-theoretic approach to logically-consistent hypothesis testing. Zbl 1338.62029 da Silva, Gustavo Miranda; Esteves, Luis Gustavo; Fossaluza, Victor; Izbicki, Rafael; Wechsler, Sergio 4 2015 Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029 Bensadon, Jérémy 4 2015 Robust \(H_\infty\) finite-time control for discrete Markovian jump systems with disturbances of probabilistic distributions. Zbl 1338.93340 Chen, Haiyang; Liu, Meiqin; Zhang, Senlin 4 2015 Proportionate minimum error entropy algorithm for sparse system identification. Zbl 1338.94049 Wu, Zongze; Peng, Siyuan; Chen, Badong; Zhao, Haiquan; Principe, Jose C. 4 2015 Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003 Andresen, Bjarne 3 2015 Thermodynamic metrics and black hole physics. Zbl 1338.83092 Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit 3 2015 Do transitive preferences always result in indifferent divisions? Zbl 1338.91069 Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan 3 2015 Ricci curvature, isoperimetry and a non-additive entropy. Zbl 1338.94042 Kalogeropoulos, Nikos 3 2015 On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra. Zbl 1338.43004 Scarfone, Antonio Maria 3 2015 A penalized likelihood approach to parameter estimation with integral reliability constraints. Zbl 1338.62067 Smith, Barry; Wang, Steven; Wong, Augustine; Zhou, Xiaofeng 2 2015 Bayesian inference on the memory parameter for gamma-modulated regression models. Zbl 1343.62049 Andrade, Plinio; Rifo, Laura; Torres, Soledad; Torres-Avilés, Francisco 2 2015 Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068 Man’ko, Margarita A.; Man’ko, Vladimir I. 2 2015 Exact solutions of non-linear lattice equations by an improved exp-function method. Zbl 1338.35092 Zhang, Sheng; Li, Jiahong; Zhou, Yingying 2 2015 Generalised complex geometry in thermodynamical fluctuation theory. Zbl 1338.53111 Fernández de Córdoba, P.; Isidro, J. M. 1 2015 Non-abelian topological approach to non-locality of a hypergraph state. Zbl 1338.94033 Berec, Vesna 1 2015 Entropy approximation in lossy source coding problem. Zbl 1338.94053 Śmieja, Marek; Tabor, Jacek 1 2015 Brownian motion in Minkowski space. Zbl 1338.60204 O’Hara, Paul; Rondoni, Lamberto 1 2015 Tail risk constraints and maximum entropy. Zbl 1338.62023 Geman, Donald; Geman, Hélyette; Taleb, Nassim Nicholas 1 2015 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034 Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 28 2014 A note on distance-based graph entropies. Zbl 1412.94134 Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 26 2014 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. 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Zbl 1357.68154 Nilsson, Johan 9 2013 ...and 385 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,814 Authors 42 Băleanu, Dumitru I. 30 Oikonomou, Vasilis K. 27 Odintsov, Sergei D. 20 Shang, Pengjian 19 Gómez-Aguilar, José Francisco 13 Alquran, Marwan Taiseer 13 Atangana, Abdon 13 Chen, Nan 13 Plastino, Angel Luis 12 Bellucci, Stefano 12 Dehmer, Matthias 12 Ibrahim, Rabha Waell 12 Pistone, Giovanni 12 Tiwari, Bhupendra Nath 11 Kumar, Devendra 11 Landes, Jürgen 11 Machado, José António Tenreiro 11 Salahshour, Soheil 11 Shalyt-Margolin, Alexander E. 11 Singh, Jagdev 10 Ahmadian, Ali 10 Arqub, Omar Abu 10 Capozziello, Salvatore 10 Cimmelli, Vito Antonio 10 Nojiri, Shin’ichi 10 Rosso, Osvaldo A. 10 Sheng, Yu-Bo 10 Zhou, Lan 9 Akin, Hasan 9 Amigó, José María 9 Eguchi, Shinto 9 Kayal, Suchandan 9 Khan, Ilyas 9 Prakasha, Doddabhadrappla Gowda 9 Rezapour, Shahram 9 Veeresha, Pundikala 8 Cao, Jinde 8 El-Ajou, Ahmad 8 Inc, Mustafa 8 Kundu, Chanchal 8 Lopes, António M. 8 Lucia, Umberto 8 Momani, Shaher M. 8 Myrzakulov, Ratbay 8 Pennisi, Sebastiano 8 Saad, Khaled Mohammed 8 Scarfone, Antonio Maria 8 Wada, Tatsuaki 7 Baskonus, Haci Mehmet 7 Cafaro, Carlo 7 Escobar-Jiménez, Ricardo Fabricio 7 Hutter, Marcus 7 Jaradat, Imad 7 Keller, Karsten 7 Khrennikov, Andreĭ Yur’evich 7 Matsuzoe, Hiroshi 7 Nashed, Gamal Gergess Lamee 7 Naudts, Jan 7 Nechita, Ion 7 Preda, Vasile C. 7 Rastëgin, Alekseĭ Èduardovich 7 Siddiqui, Aliya Naaz 7 Stern, Julio Michael 7 Tempesta, Piergiulio 7 Yan, Fei 7 Zhang, Jun 6 Agarwal, Praveen 6 Akyol, Mehmet Akif 6 Al-Smadi, Mohammed H. 6 Astashenok, Artyom V. 6 Cánovas, Jose S. 6 Carrisi, Maria Cristina 6 Chen, Lingen 6 Collins, Benoît 6 Emmert-Streib, Frank 6 Gorban, Alexander N. 6 Hassanabadi, Hassan 6 Iliyasu, Abdullah M. 6 Kowalski, Andres M. 6 Lone, Mehraj Ahmad 6 Marcolli, Matilde 6 Montani, Fernando 6 Ohara, Atsumi 6 Sellitto, Antonio 6 Yépez-Martínez, Huitzilin 6 Zhou, Rigui 5 Adesanya, Samuel Olumide 5 Al-saedi, Ahmed Eid Salem 5 Barbaresco, Frédéric 5 Bickel, David R. 5 Chang, Chih-Hung 5 Crutchfield, James P. 5 Cuevas, Claudio 5 Di Crescenzo, Antonio 5 Dzhafarov, Ehtibar N. 5 Faizal, Mir 5 Ferrara, Sergio 5 Friston, Karl J. 5 Fukuda, Motohisa 5 Gomez, Ignacio S. ...and 4,714 more Authors all top 5 Cited in 502 Journals 185 Physica A 158 Entropy 82 Journal of High Energy Physics 64 Chaos, Solitons and Fractals 57 International Journal of Theoretical Physics 56 Quantum Information Processing 53 International Journal of Geometric Methods in Modern Physics 51 Chaos 42 Physics Letters. 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Studies in History and Philosophy of Modern Physics 5 Biological Cybernetics 5 Communications in Mathematical Physics 5 Journal of Fluid Mechanics 5 Journal of Multivariate Analysis 5 Mathematics and Computers in Simulation 5 Meccanica 5 Acta Applicandae Mathematicae 5 Computational Statistics 5 Computational Statistics and Data Analysis ...and 402 more Journals all top 5 Cited in 60 Fields 529 Statistics (62-XX) 474 Quantum theory (81-XX) 472 Information and communication theory, circuits (94-XX) 375 Statistical mechanics, structure of matter (82-XX) 354 Relativity and gravitational theory (83-XX) 235 Partial differential equations (35-XX) 227 Ordinary differential equations (34-XX) 205 Classical thermodynamics, heat transfer (80-XX) 197 Biology and other natural sciences (92-XX) 196 Probability theory and stochastic processes (60-XX) 182 Dynamical systems and ergodic theory (37-XX) 180 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 159 Computer science (68-XX) 155 Differential geometry (53-XX) 146 Numerical analysis (65-XX) 145 Real functions (26-XX) 139 Fluid mechanics (76-XX) 100 Systems theory; control (93-XX) 75 Operations research, mathematical programming (90-XX) 69 Operator theory (47-XX) 59 Combinatorics (05-XX) 47 Mechanics of deformable solids (74-XX) 45 Mechanics of particles and systems (70-XX) 38 Astronomy and astrophysics (85-XX) 34 Geophysics (86-XX) 33 Mathematical logic and foundations (03-XX) 32 Functional analysis (46-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 30 Measure and integration (28-XX) 26 Integral equations (45-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 25 Optics, electromagnetic theory (78-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Integral transforms, operational calculus (44-XX) 17 Special functions (33-XX) 16 Nonassociative rings and algebras (17-XX) 16 Group theory and generalizations (20-XX) 15 Algebraic geometry (14-XX) 15 Topological groups, Lie groups (22-XX) 15 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 General topology (54-XX) 13 General and overarching topics; collections (00-XX) 12 Difference and functional equations (39-XX) 12 Geometry (51-XX) 10 Category theory; homological algebra (18-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Convex and discrete geometry (52-XX) 7 Functions of a complex variable (30-XX) 6 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Number theory (11-XX) 5 Algebraic topology (55-XX) 4 Sequences, series, summability (40-XX) 3 Associative rings and algebras (16-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year