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 Ferri, Gustavo L. 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 ...and 1,170 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 468 Publications have been cited 2,686 times in 2,243 Documents Cited by ▼ Year ▼ Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458Atangana, Abdon; Alkahtani, Badr Saad T. 102 2015 Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030Cichocki, Andrzej; Amari, Shun-Ichi 63 2010 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 63 2013 On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen 58 2015 Axiomatic characterizations of information measures. Zbl 1179.94043Csiszár, Imre 56 2008 Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 50 2015 Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David 48 2012 Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122Kosloff, Ronnie 39 2013 Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories. Zbl 1297.83018De La Cruz-Dombriz, Alvaro; Sáez-Gómez, Diego 35 2012 \(stu\) black holes unveiled. Zbl 1179.83049Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen 33 2008 Generalised exponential families and associated entropy functions. Zbl 1179.94048Naudts, Jan 28 2008 Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073Amari, Shun-Ichi; Ohara, Atsumi 26 2011 State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046Sen, Ashoke 26 2011 Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039Sheng, Yu-Bo; Zhou, Lan 25 2013 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 25 2014 Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028Pereira, Carlos Alberto de Bragança; Stern, Julio Michael 23 1999 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 23 2015 Effective conformal descriptions of black hole entropy. Zbl 1296.83034Carlip, Steven 22 2011 Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan 21 2013 Applications of entropy in finance: a review. Zbl 1422.91673Zhou, Rongxi; Cai, Ru; Tong, Guanqun 21 2013 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 21 2014 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004Tsallis, Constantino 20 2011 Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz 20 2012 Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392Kaniadakis, Giorgio 20 2013 A characterization of entropy in terms of information loss. Zbl 1301.94043Baez, John C.; Fritz, Tobias; Leinster, Tom 18 2011 Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036Iliyasu, Abdullah M. 18 2013 Maximum entropy fundamentals. Zbl 1006.94007Harremoeës, P.; Topsøe, F. 17 2001 Entropy: the Markov ordering approach. Zbl 1229.60085Gorban, Alexander N.; Gorban, Pavel A.; Judge, George 17 2010 Interval entropy and informative distance. Zbl 1306.62214Misagh, Fakhroddin; Yari, Gholamhossein 16 2012 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 1314.94034Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 16 2012 Time series analysis using composite multiscale entropy. Zbl 1298.65020Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen 16 2013 Entanglement entropy of AdS black holes. Zbl 1229.83045Cadoni, Mariano; Melis, Maurizio 16 2010 Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B. 15 2012 From \(f\)-divergence to quantum quasi-entropies and their use. Zbl 1229.81054Petz, Dénes 15 2010 The relation between Granger causality and directed information theory: a review. Zbl 06346067Amblard, Pierre-Olivier; Michel, Olivier J. J. 14 2013 Deformed exponentials and applications to finance. Zbl 1422.91725Trivellato, Barbara 14 2013 Multivariate multi-scale permutation entropy for complexity analysis of Alzheimer’s disease EEG. Zbl 1314.92042Morabito, Francesco Carlo; Labate, Domenico; La Foresta, Fabio; Bramanti, Alessia; Morabito, Giuseppe; Palamara, Isabella 13 2012 Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048Faraoni, Valerio 13 2010 Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047Khrennikov, Andrei 12 2008 Entropy and the complexity of graphs revisited. Zbl 1331.94041Mowshowitz, Abbe; Dehmer, Matthias 12 2012 Using quantum computers for quantum simulation. Zbl 1229.81062Brown, Katherine L.; Munro, William J.; Kendon, Vivien M. 12 2010 The entropy of progressively censored samples. Zbl 1229.62134Abo-Eleneen, Z. A. 12 2011 Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M. 12 2013 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 12 2015 A philosophical treatise of universal induction. Zbl 1296.03007Rathmanner, Samuel; Hutter, Marcus 11 2011 Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002Eguchi, Shinto; Komori, Osamu; Kato, Shogo 11 2011 Classes of \(N\)-dimensional nonlinear Fokker-Planck equations associated to Tsallis entropy. Zbl 1297.35242Ribeiro, Mauricio S.; Nobre, Fernando D.; Curado, Evaldo M. F. 11 2011 Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030Gupta, Maya; Srivastava, Santosh 11 2010 On the microscopic perspective of black branes thermodynamic geometry. Zbl 1229.83043Bellucci, Stefano; Tiwari, Bhupendra Nath 11 2010 Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008Landes, Jürgen; Williamson, Jon 11 2013 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 11 2014 Unconditionally secure quantum signatures. Zbl 1338.81158Amiri, Ryan; Andersson, Erika 11 2015 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 11 2015 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005Akın, Hasan 10 2003 On the linear combination of exponential and gamma random variables. Zbl 1135.62307Nadarajah, Saralees; Kotz, Samuel 10 2005 Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133Grössing, Gerhard 10 2010 All in action. Zbl 1229.82006Annila, Arto 10 2010 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 10 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 10 2015 A spacetime foam approach to the Schwarzschild-de Sitter entropy. Zbl 0996.83022Garattini, Remo 9 2000 Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012Topsøe, F. 9 2001 The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152Gorban, Alexander N.; Shahzad, Muhammad 9 2011 Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181Makinde, Oluwole Daniel 9 2011 Cosmology of \(F(T)\) gravity and k-essence. Zbl 1297.83056Myrzakulov, Ratbay 9 2012 Entropic forms and related algebras. Zbl 1305.82011Scarfone, Antonio Maria 9 2013 Reliability of inference of directed climate networks using conditional mutual information. Zbl 1296.62218Hlinka, Jaroslav; Hartman, David; Vejmelka, Martin; Runge, Jakob; Marwan, Norbert; Kurths, Jürgen; Paluš, Milan 9 2013 Entropy and divergence associated with power function and the statistical application. Zbl 1229.82010Eguchi, Shinto; Kato, Shogo 9 2010 Entropy-related extremum principles for model reduction of dissipative dynamical systems. Zbl 1229.37019Lebiedz, Dirk 9 2010 Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics. Zbl 1229.80021Hangos, Katalin M. 9 2010 Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044Collins, Benoît; Nechita, Ion 9 2010 Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287Usta, Ilhan; Kantar, Yeliz Mert 9 2011 Static isolated horizons: \(SU(2)\) invariant phase space, quantization, and black hole entropy. Zbl 1229.83053Perez, Alejandro; Pranzetti, Daniele 9 2011 Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144Pistone, Giovanni 9 2013 Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062Zhang, Jun 9 2013 Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091Wang, Linjun; Chen, Xumei 9 2015 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018Livingstone, Samuel; Girolami, Mark 9 2014 Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie 8 2008 A weighted generalized maximum entropy estimator with a data-driven weight. Zbl 1179.91209Wu, Ximing 8 2009 The role of Hellinger processes in mathematical finance. Zbl 1015.91030Choulli, T.; Hurd, T. R. 8 2001 The meanings of entropy. Zbl 1135.94313Brissaud, Jean-Bernard 8 2005 On Darcy-Brinkman equation: viscous flow between two parallel plates packed with regular square arrays of cylinders. Zbl 1135.76312Liu, Haidong; Patil, Prabhamani R.; Narusawa, Uichiro 8 2007 Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey 8 2011 Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo 8 2012 An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052Li, Junli; He, Zongyi; Zhu, Qiaoli 8 2013 Information theory and dynamical system predictability. Zbl 1229.94026Kleeman, Richard 8 2011 Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees 8 2013 On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154Nilsson, Johan 8 2013 Information geometry on complexity and stochastic interaction. Zbl 1338.94032Ay, Nihat 8 2015 Entropy and energy, - a universal competition. Zbl 1179.80008Müller, Ingo 7 2008 Properties of the statistical complexity functional and partially deterministic HMMs. Zbl 1179.82099Löhr, Wolfgang 7 2009 Chirality and symmetry measures: a transdisciplinary review. Zbl 1078.00503Petitjean, Michel 7 2003 Additive cellular automata and volume growth. Zbl 0999.68130Ward, Thomas B. 7 2000 Deformed density matrix and quantum entropy of the black hole. Zbl 1135.83311Shalyt-Margolin, A. E. 7 2006 Distances in probability space and the statistical complexity setup. Zbl 1306.62041Kowalski, Andres M.; Martín, Maria Teresa; Plastino, Angelo; Rosso, Osvaldo A.; Casas, Montserrat 7 2011 Tsallis-based nonextensive analysis of the southern California seismicity. Zbl 1302.86014Telesca, Luciano 7 2011 Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001Martyushev, Leonid M. 7 2013 Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062Zhou, Shengxi; Cao, Junyi; Chen, Yangquan 7 2013 Roofs and convexity. Zbl 1229.81056Uhlmann, Armin 7 2010 Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387Unakafova, Valentina A.; Keller, Karsten 7 2013 Entropy of weighted graphs with Randić weights. Zbl 1338.05266Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang 7 2015 Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458Atangana, Abdon; Alkahtani, Badr Saad T. 102 2015 On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen 58 2015 Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 50 2015 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 23 2015 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 12 2015 Unconditionally secure quantum signatures. Zbl 1338.81158Amiri, Ryan; Andersson, Erika 11 2015 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 11 2015 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 10 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 10 2015 Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091Wang, Linjun; Chen, Xumei 9 2015 Information geometry on complexity and stochastic interaction. Zbl 1338.94032Ay, Nihat 8 2015 Entropy of weighted graphs with Randić weights. Zbl 1338.05266Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang 7 2015 Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160Diamanti, Eleni; Leverrier, Anthony 7 2015 Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M. 7 2015 Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030Malagò, Luigi; Pistone, Giovanni 6 2015 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044Lods, Bertrand; Pistone, Giovanni 6 2015 Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045Matsuzoe, Hiroshi; Wada, Tatsuaki 5 2015 Conformal gauge transformations in thermodynamics. Zbl 1338.80004Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco 5 2015 On the exact solution of wave equations on Cantor sets. Zbl 1338.35459Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali 5 2015 A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026Wilmers, George 5 2015 The Hosoya entropy of a graph. Zbl 1338.05267Mowshowitz, Abbe; Dehmer, Matthias 5 2015 Proportionate minimum error entropy algorithm for sparse system identification. Zbl 1338.94049Wu, Zongze; Peng, Siyuan; Chen, Badong; Zhao, Haiquan; Principe, Jose C. 4 2015 Entropies from coarse-graining: convex polytopes vs. ellipsoids. Zbl 1338.94041Kalogeropoulos, Nikos 4 2015 Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005Grmela, Miroslav 4 2015 New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090Tuluce Demiray, Seyma; Bulut, Hasan 4 2015 On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra. Zbl 1338.43004Scarfone, Antonio Maria 3 2015 Generalized stochastic Fokker-Planck equations. Zbl 1338.60154Chavanis, Pierre-Henri 3 2015 Generalized boundary conditions for the time-fractional advection diffusion equation. Zbl 1338.35476Povstenko, Yuriy 3 2015 New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics. Zbl 1338.35089Baskonus, Haci Mehmet; Bulut, Hasan 3 2015 Thermodynamic metrics and black hole physics. Zbl 1338.83092Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit 3 2015 Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029Bensadon, Jérémy 3 2015 Robust \(H_\infty\) finite-time control for discrete Markovian jump systems with disturbances of probabilistic distributions. Zbl 1338.93340Chen, Haiyang; Liu, Meiqin; Zhang, Senlin 3 2015 Do transitive preferences always result in indifferent divisions? Zbl 1338.91069Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan 3 2015 Exact solutions of non-linear lattice equations by an improved exp-function method. Zbl 1338.35092Zhang, Sheng; Li, Jiahong; Zhou, Yingying 2 2015 Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003Andresen, Bjarne 2 2015 A Bayesian decision-theoretic approach to logically-consistent hypothesis testing. Zbl 1338.62029da Silva, Gustavo Miranda; Esteves, Luis Gustavo; Fossaluza, Victor; Izbicki, Rafael; Wechsler, Sergio 2 2015 Ricci curvature, isoperimetry and a non-additive entropy. Zbl 1338.94042Kalogeropoulos, Nikos 2 2015 Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2015 Non-abelian topological approach to non-locality of a hypergraph state. Zbl 1338.94033Berec, Vesna 1 2015 Entropy approximation in lossy source coding problem. Zbl 1338.94053Śmieja, Marek; Tabor, Jacek 1 2015 Brownian motion in Minkowski space. Zbl 1338.60204O’Hara, Paul; Rondoni, Lamberto 1 2015 Tail risk constraints and maximum entropy. Zbl 1338.62023Geman, Donald; Geman, Hélyette; Taleb, Nassim Nicholas 1 2015 A penalized likelihood approach to parameter estimation with integral reliability constraints. Zbl 1338.62067Smith, Barry; Wang, Steven; Wong, Augustine; Zhou, Xiaofeng 1 2015 Generalised complex geometry in thermodynamical fluctuation theory. Zbl 1338.53111Fernández de Córdoba, P.; Isidro, J. M. 1 2015 Bayesian inference on the memory parameter for gamma-modulated regression models. Zbl 1343.62049Andrade, Plinio; Rifo, Laura; Torres, Soledad; Torres-Avilés, Francisco 1 2015 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 25 2014 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 21 2014 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 11 2014 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018Livingstone, Samuel; Girolami, Mark 9 2014 The entropy-based quantum metric. Zbl 1338.81096Balian, Roger 7 2014 Information anatomy of stochastic equilibria. Zbl 1338.60209Marzen, Sarah; Crutchfield, James P. 7 2014 Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348Malagò, Luigi; Pistone, Giovanni 6 2014 An estimation of the entropy for a Rayleigh distribution based on doubly-generalized type-II hybrid censored samples. Zbl 1341.62279Cho, Youngseuk; Sun, Hokeun; Lee, Kyeongjun 6 2014 On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies. Zbl 1338.94036Falniowski, Fryderyk 5 2014 The information geometry of Bregman divergences and some applications in multi-expert reasoning. Zbl 1338.94031Adamčík, Martin 5 2014 Information geometric complexity of a trivariate Gaussian statistical model. Zbl 1338.62022Felice, Domenico; Cafaro, Carlo; Mancini, Stefano 5 2014 Density reconstructions with errors in the data. Zbl 1338.62104Gomes-Gonçalves, Erika; Gzyl, Henryk; Mayoral, Silvia 5 2014 Markov state models for rare events in molecular dynamics. Zbl 1338.82038Sarich, Marco; Banisch, Ralf; Hartmann, Carsten; Schütte, Christof 5 2014 Information-theoretic bounded rationality and \(\epsilon\)-optimality. Zbl 1338.91050Braun, Daniel A.; Ortega, Pedro A. 4 2014 Existence of entropy solutions for nonsymmetric fractional systems. Zbl 1338.35469Ibrahim, Rabha W.; Jalab, Hamid A. 4 2014 Generalized maximum entropy analysis of the linear simultaneous equations model. Zbl 1338.62066Marsh, Thomas L.; Mittelhammer, Ron; Cardell, Nicholas Scott 4 2014 \(F\)-geometry and Amari’s \(\alpha\)-geometry on a statistical manifold. Zbl 1338.62069Harsha, K. V.; Subrahamanian Moosath, K. S. 4 2014 Chaos control and synchronization of a hyperchaotic zhou system by integral sliding mode control. Zbl 1338.34114Toopchi, Yashar; Wang, Jidong 4 2014 New Riemannian priors on the univariate normal model. Zbl 1341.62095Said, Salem; Bombrun, Lionel; Berthoumieu, Yannick 3 2014 Adaptive switched generalized function projective synchronization between two hyperchaotic systems with unknown parameters. 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Zbl 1297.93062Zhou, Shengxi; Cao, Junyi; Chen, Yangquan 7 2013 ...and 368 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,075 Authors 40 Băleanu, Dumitru I. 21 Oikonomou, Vasilis K. 18 Odintsov, Sergei D. 17 Shang, Pengjian 15 Gómez-Aguilar, José Francisco 13 Alquran, Marwan Taiseer 12 Atangana, Abdon 12 Bellucci, Stefano 12 Dehmer, Matthias 12 Tiwari, Bhupendra Nath 11 Kumar, Devendra 11 Landes, Jürgen 10 Cimmelli, Vito Antonio 10 Ibrahim, Rabha Waell 10 Machado, José António Tenreiro 10 Shalyt-Margolin, Alexander E. 10 Wada, Tatsuaki 9 Ahmadian, Ali 9 Akin, Hasan 9 Rezapour, Shahram 9 Salahshour, Soheil 9 Sheng, Yu-Bo 9 Singh, Jagdev 9 Zhou, Lan 8 Arqub, Omar Abu 8 Khan, Ilyas 8 Lopes, António M. 8 Lucia, Umberto 8 Momani, Shaher M. 8 Pennisi, Sebastiano 8 Pistone, Giovanni 8 Rosso, Osvaldo A. 7 Cao, Jinde 7 Capozziello, Salvatore 7 Eguchi, Shinto 7 El-Ajou, Ahmad 7 Escobar-Jiménez, Ricardo Fabricio 7 Inc, Mustafa 7 Jaradat, Imad 7 Kayal, Suchandan 7 Keller, Karsten 7 Kundu, Chanchal 7 Myrzakulov, Ratbay 7 Nechita, Ion 7 Preda, Vasile C. 7 Saad, Khaled Mohammed 7 Scarfone, Antonio Maria 6 Adesanya, Samuel Olumide 6 Agarwal, Praveen 6 Akyol, Mehmet Akif 6 Al-Smadi, Mohammed H. 6 Amigó, José María 6 Baskonus, Haci Mehmet 6 Carrisi, Maria Cristina 6 Chen, Lingen 6 Chen, Nan 6 Collins, Benoît 6 Emmert-Streib, Frank 6 Gorban, Alexander N. 6 Hutter, Marcus 6 Iliyasu, Abdullah M. 6 Khrennikov, Andreĭ Yur’evich 6 Makinde, Oluwole Daniel 6 Marrani, Alessio 6 Matsuzoe, Hiroshi 6 Naudts, Jan 6 Ohara, Atsumi 6 Prakasha, Doddabhadrappla Gowda 6 Rastëgin, Alekseĭ Èduardovich 6 Sellitto, Antonio 6 Veeresha, Pundikala 6 Yan, Fei 6 Yépez-Martínez, Huitzilin 6 Zhou, Rigui 5 Al-saedi, Ahmed Eid Salem 5 Barbaresco, Frédéric 5 Cafaro, Carlo 5 Cánovas, Jose S. 5 Chang, Chih-Hung 5 Crutchfield, James P. 5 Ferrara, Sergio 5 Friston, Karl J. 5 Fukuda, Motohisa 5 Gomez, Ignacio S. 5 Gzyl, Henryk 5 Hidouri, Nejib 5 Hu, Wenwen 5 Marcolli, Matilde 5 Mondal, Sayid 5 Montani, Fernando 5 Nashed, Gamal G. L. 5 Ng, Hon Keung Tony 5 Qureshi, Sania 5 Rogolino, Patrizia 5 Sengupta, Gautam 5 Shi, Yimin 5 Stern, Julio Michael 5 Sugiyama, Masashi 5 Tempesta, Piergiulio 5 Tsallis, Constantino ...and 3,975 more Authors all top 5 Cited in 436 Journals 166 Entropy 161 Physica A 76 Journal of High Energy Physics 62 Chaos, Solitons and Fractals 52 Quantum Information Processing 50 International Journal of Theoretical Physics 39 Advances in Difference Equations 34 Chaos 32 Applied Mathematics and Computation 30 Journal of Mathematical Physics 28 Foundations of Physics 25 General Relativity and Gravitation 25 Journal of Physics A: Mathematical and Theoretical 24 International Journal of Geometric Methods in Modern Physics 23 Physics Letters. A 23 Communications in Nonlinear Science and Numerical Simulation 22 Journal of Statistical Physics 20 Communications in Statistics. 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Mathematical, Physical and Engineering Sciences 8 Acta Mechanica 8 Physics Reports 8 Fuzzy Sets and Systems 8 Insurance Mathematics & Economics 8 Continuum Mechanics and Thermodynamics 8 Journal of Mathematical Chemistry 7 International Journal of Modern Physics A 7 Journal of Computational Physics 7 Journal of the Franklin Institute 7 Reports on Mathematical Physics 7 Automatica 7 Theoretical Computer Science 7 Machine Learning 7 European Journal of Operational Research 7 Computational and Applied Mathematics 7 Fractional Calculus & Applied Analysis 7 Mediterranean Journal of Mathematics 7 Axioms 6 Journal of Fluid Mechanics 6 Bulletin of Mathematical Biology 6 Journal of Mathematical Psychology 6 Statistics 6 Neural Networks 6 Statistical Papers 6 Bernoulli 6 Discrete and Continuous Dynamical Systems. Series B 6 Journal of Cosmology and Astroparticle Physics 6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 6 Nonlinear Phenomena in Complex Systems (Minsk) 5 Biological Cybernetics 5 Communications in Mathematical Physics 5 Journal of Multivariate Analysis 5 Computational Statistics 5 Communications in Statistics. Simulation and Computation 5 Computational Statistics and Data Analysis 5 Turkish Journal of Mathematics 5 Filomat 5 Annales Henri Poincaré 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Boundary Value Problems 5 Mathematical Modelling of Natural Phenomena 5 Communications in Applied and Industrial Mathematics 5 Journal of Mathematics 4 International Journal of Modern Physics B 4 Computers and Fluids 4 International Journal of Engineering Science 4 Mathematical Biosciences 4 Reviews in Mathematical Physics ...and 336 more Journals all top 5 Cited in 59 Fields 439 Statistics (62-XX) 409 Information and communication theory, circuits (94-XX) 397 Quantum theory (81-XX) 320 Statistical mechanics, structure of matter (82-XX) 270 Relativity and gravitational theory (83-XX) 189 Ordinary differential equations (34-XX) 188 Partial differential equations (35-XX) 178 Classical thermodynamics, heat transfer (80-XX) 177 Biology and other natural sciences (92-XX) 161 Probability theory and stochastic processes (60-XX) 155 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 145 Computer science (68-XX) 144 Dynamical systems and ergodic theory (37-XX) 127 Fluid mechanics (76-XX) 125 Real functions (26-XX) 119 Differential geometry (53-XX) 111 Numerical analysis (65-XX) 81 Systems theory; control (93-XX) 62 Operations research, mathematical programming (90-XX) 55 Operator theory (47-XX) 50 Combinatorics (05-XX) 42 Mechanics of particles and systems (70-XX) 42 Mechanics of deformable solids (74-XX) 34 Geophysics (86-XX) 30 Mathematical logic and foundations (03-XX) 30 Astronomy and astrophysics (85-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 25 Functional analysis (46-XX) 24 Measure and integration (28-XX) 21 Integral equations (45-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Integral transforms, operational calculus (44-XX) 19 Global analysis, analysis on manifolds (58-XX) 19 Optics, electromagnetic theory (78-XX) 15 Special functions (33-XX) 14 Group theory and generalizations (20-XX) 13 Nonassociative rings and algebras (17-XX) 13 Topological groups, Lie groups (22-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Algebraic geometry (14-XX) 12 Approximations and expansions (41-XX) 12 General topology (54-XX) 11 General and overarching topics; collections (00-XX) 11 Difference and functional equations (39-XX) 10 Geometry (51-XX) 8 Convex and discrete geometry (52-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Functions of a complex variable (30-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Category theory; homological algebra (18-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 Algebraic topology (55-XX) 2 Associative rings and algebras (16-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year