Entropy Short Title: Entropy Publisher: Multidisciplinary Digital Publishing Institute (MDPI), Basel ISSN: 1099-4300/e Online: http://www.mdpi.com/journal/entropy Comments: 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 Liu, Quan 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 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 1,160 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 445 Publications have been cited 2,080 times in 1,799 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. 80 2015 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 54 2013 Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030Cichocki, Andrzej; Amari, Shun-Ichi 49 2010 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 42 2015 Axiomatic characterizations of information measures. Zbl 1179.94043Csiszár, Imre 39 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 35 2015 Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David 31 2012 Generalised exponential families and associated entropy functions. Zbl 1179.94048Naudts, Jan 25 2008 Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories. Zbl 1297.83018De La Cruz-Dombriz, Alvaro; Sáez-Gómez, Diego 25 2012 State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046Sen, Ashoke 24 2011 Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039Sheng, Yu-Bo; Zhou, Lan 23 2013 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 22 2014 Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028de Bragança Pereira, Carlos Alberto; Stern, Julio Michael 20 1999 Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073Amari, Shun-Ichi; Ohara, Atsumi 20 2011 Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122Kosloff, Ronnie 20 2013 Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan 18 2013 \(stu\) black holes unveiled. Zbl 1179.83049Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen 17 2008 Maximum entropy fundamentals. Zbl 1006.94007Harremoeës, P.; Topsøe, F. 16 2001 Applications of entropy in finance: a review. Zbl 1422.91673Zhou, Rongxi; Cai, Ru; Tong, Guanqun 16 2013 Entropy: the Markov ordering approach. Zbl 1229.60085Gorban, Alexander N.; Gorban, Pavel A.; Judge, George 16 2010 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 15 2015 A characterization of entropy in terms of information loss. Zbl 1301.94043Baez, John C.; Fritz, Tobias; Leinster, Tom 15 2011 Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz 15 2012 Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392Kaniadakis, Giorgio 14 2013 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 13 2014 From \(f\)-divergence to quantum quasi-entropies and their use. Zbl 1229.81054Petz, Dénes 13 2010 Entanglement entropy of AdS black holes. Zbl 1229.83045Cadoni, Mariano; Melis, Maurizio 13 2010 Effective conformal descriptions of black hole entropy. Zbl 1296.83034Carlip, Steven 13 2011 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004Tsallis, Constantino 13 2011 Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036Iliyasu, Abdullah M. 12 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 1314.94034Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L. 12 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 12 2013 Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047Khrennikov, Andrei 11 2008 Deformed exponentials and applications to finance. Zbl 1422.91725Trivellato, Barbara 11 2013 Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030Gupta, Maya; Srivastava, Santosh 11 2010 Using quantum computers for quantum simulation. Zbl 1229.81062Brown, Katherine L.; Munro, William J.; Kendon, Vivien M. 11 2010 Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002Eguchi, Shinto; Komori, Osamu; Kato, Shogo 11 2011 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 11 2012 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 10 2015 Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048Faraoni, Valerio 10 2010 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005Akın, Hasan 10 2003 Entropy and the complexity of graphs revisited. Zbl 1331.94041Mowshowitz, Abbe; Dehmer, Matthias 10 2012 On the linear combination of exponential and gamma random variables. Zbl 1135.62307Nadarajah, Saralees; Kotz, Samuel 9 2005 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 9 2014 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 The entropy of progressively censored samples. Zbl 1229.62134Abo-Eleneen, Z. A. 9 2011 Interval entropy and informative distance. Zbl 1306.62214Misagh, Fakhroddin; Yari, Gholamhossein 9 2012 The relation between Granger causality and directed information theory: a review. Zbl 06346067Amblard, Pierre-Olivier; Michel, Olivier J. J. 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 The meanings of entropy. Zbl 1135.94313Brissaud, Jean-Bernard 8 2005 The role of Hellinger processes in mathematical finance. Zbl 1015.91030Choulli, T.; Hurd, T. R. 8 2001 Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012Topsøe, F. 8 2001 Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008Landes, Jürgen; Williamson, Jon 8 2013 Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144Pistone, Giovanni 8 2013 Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M. 8 2013 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 8 2015 Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133Grössing, Gerhard 8 2010 On the microscopic perspective of black branes thermodynamic geometry. Zbl 1229.83043Bellucci, Stefano; Tiwari, Bhupendra Nath 8 2010 All in action. Zbl 1229.82006Annila, Arto 8 2010 Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287Usta, Ilhan; Kantar, Yeliz Mert 8 2011 The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152Gorban, Alexander N.; Shahzad, Muhammad 8 2011 A philosophical treatise of universal induction. Zbl 1296.03007Rathmanner, Samuel; Hutter, Marcus 8 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. 8 2011 Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B. 8 2012 Cosmology of \(F(T)\) gravity and k-essence. Zbl 1297.83056Myrzakulov, Ratbay 8 2012 Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo 8 2012 Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie 7 2008 Properties of the statistical complexity functional and partially deterministic HMMs. Zbl 1179.82099Löhr, Wolfgang 7 2009 Additive cellular automata and volume growth. Zbl 0999.68130Ward, Thomas B. 7 2000 Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees 7 2013 Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387Unakafova, Valentina A.; Keller, Karsten 7 2013 Information geometry on complexity and stochastic interaction. Zbl 1338.94032Ay, Nihat 7 2015 Entropy of weighted graphs with Randić weights. Zbl 1338.05266Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang 7 2015 Unconditionally secure quantum signatures. Zbl 1338.81158Amiri, Ryan; Andersson, Erika 7 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 7 2015 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 7 2015 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018Livingstone, Samuel; Girolami, Mark 7 2014 The entropy-based quantum metric. Zbl 1338.81096Balian, Roger 7 2014 Entropy and divergence associated with power function and the statistical application. Zbl 1229.82010Eguchi, Shinto; Kato, Shogo 7 2010 Entropy-related extremum principles for model reduction of dissipative dynamical systems. Zbl 1229.37019Lebiedz, Dirk 7 2010 Static isolated horizons: \(SU(2)\) invariant phase space, quantization, and black hole entropy. Zbl 1229.83053Perez, Alejandro; Pranzetti, Daniele 7 2011 Chirality and symmetry measures: a transdisciplinary review. Zbl 1078.00503Petitjean, Michel 7 2003 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 Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181Makinde, Oluwole Daniel 7 2011 Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey 7 2011 Entropic forms and related algebras. Zbl 1305.82011Scarfone, Antonio Maria 7 2013 Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001Martyushev, Leonid M. 7 2013 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 6 2007 Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062Zhang, Jun 6 2013 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044Lods, Bertrand; Pistone, Giovanni 6 2015 Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091Wang, Linjun; Chen, Xumei 6 2015 Optimal multi-level thresholding based on maximum Tsallis entropy via an artificial bee colony approach. Zbl 1229.94013Zhang, Yudong; Wu, Lenan 6 2011 Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126Zhao, Meichun; Wang, Junwei 6 2013 Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062Zhou, Shengxi; Cao, Junyi; Chen, Yangquan 6 2013 An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052Li, Junli; He, Zongyi; Zhu, Qiaoli 6 2013 Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164Broadbridge, Phil 5 2008 Entropy and energy, - a universal competition. Zbl 1179.80008Müller, Ingo 5 2008 Entropy and uncertainty. Zbl 1179.94051Robinson, Derek W. 5 2008 Thermodynamics of the system of distinguishable particles. Zbl 1179.82009Cheng, Chi-Ho 5 2009 Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458Atangana, Abdon; Alkahtani, Badr Saad T. 80 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 42 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 35 2015 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 15 2015 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 10 2015 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 8 2015 Information geometry on complexity and stochastic interaction. Zbl 1338.94032Ay, Nihat 7 2015 Entropy of weighted graphs with Randić weights. Zbl 1338.05266Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang 7 2015 Unconditionally secure quantum signatures. Zbl 1338.81158Amiri, Ryan; Andersson, Erika 7 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 7 2015 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 7 2015 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044Lods, Bertrand; Pistone, Giovanni 6 2015 Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091Wang, Linjun; Chen, Xumei 6 2015 Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030Malagò, Luigi; Pistone, Giovanni 5 2015 Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160Diamanti, Eleni; Leverrier, Anthony 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 Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005Grmela, Miroslav 4 2015 A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026Wilmers, George 4 2015 Proportionate minimum error entropy algorithm for sparse system identification. Zbl 1338.94049Wu, Zongze; Peng, Siyuan; Chen, Badong; Zhao, Haiquan; Principe, Jose C. 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 Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M. 3 2015 Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029Bensadon, Jérémy 3 2015 The Hosoya entropy of a graph. Zbl 1338.05267Mowshowitz, Abbe; Dehmer, Matthias 3 2015 Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045Matsuzoe, Hiroshi; Wada, Tatsuaki 2 2015 Entropies from coarse-graining: convex polytopes vs. ellipsoids. Zbl 1338.94041Kalogeropoulos, Nikos 2 2015 Exact solutions of non-linear lattice equations by an improved exp-function method. Zbl 1338.35092Zhang, Sheng; Li, Jiahong; Zhou, Yingying 2 2015 Generalized stochastic Fokker-Planck equations. Zbl 1338.60154Chavanis, Pierre-Henri 2 2015 New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090Tuluce Demiray, Seyma; Bulut, Hasan 2 2015 Conformal gauge transformations in thermodynamics. Zbl 1338.80004Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco 2 2015 Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003Andresen, Bjarne 2 2015 Thermodynamic metrics and black hole physics. Zbl 1338.83092Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit 2 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 2 2015 Do transitive preferences always result in indifferent divisions? Zbl 1338.91069Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan 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 On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra. Zbl 1338.43004Scarfone, Antonio Maria 1 2015 Brownian motion in Minkowski space. Zbl 1338.60204O’Hara, Paul; Rondoni, Lamberto 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 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 22 2014 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 13 2014 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 9 2014 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018Livingstone, Samuel; Girolami, Mark 7 2014 The entropy-based quantum metric. Zbl 1338.81096Balian, Roger 7 2014 On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies. Zbl 1338.94036Falniowski, Fryderyk 5 2014 Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348Malagò, Luigi; Pistone, Giovanni 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 Existence of entropy solutions for nonsymmetric fractional systems. Zbl 1338.35469Ibrahim, Rabha W.; Jalab, Hamid A. 4 2014 Density reconstructions with errors in the data. 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Zbl 1391.94587Mathai, Arak M.; Haubold, Hans J. 5 2013 ...and 345 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,212 Authors 36 Băleanu, Dumitru I. 13 Alquran, Marwan Taiseer 13 Gómez-Aguilar, José Francisco 13 Shang, Pengjian 11 Atangana, Abdon 11 Oikonomou, Vasilis K. 10 Dehmer, Matthias 10 Ibrahim, Rabha Waell 10 Odintsov, Sergei D. 9 Akin, Hasan 9 Bellucci, Stefano 9 Cimmelli, Vito Antonio 9 Machado, José António Tenreiro 9 Sheng, Yu-Bo 9 Tiwari, Bhupendra Nath 9 Zhou, Lan 8 Ahmadian, Ali 8 Arqub, Omar Abu 8 Lucia, Umberto 8 Momani, Shaher M. 8 Pennisi, Sebastiano 8 Pistone, Giovanni 8 Rezapour, Shahram 8 Salahshour, Soheil 7 Eguchi, Shinto 7 El-Ajou, Ahmad 7 Jaradat, Imad 7 Khan, Ilyas 7 Kumar, Devendra 7 Lopes, António M. 7 Myrzakulov, Ratbay 7 Nechita, Ion 6 Amigó, José María 6 Baskonus, Haci Mehmet 6 Capozziello, Salvatore 6 Carrisi, Maria Cristina 6 Collins, Benoît 6 Emmert-Streib, Frank 6 Escobar-Jiménez, Ricardo Fabricio 6 Gorban, Alexander N. 6 Inc, Mustafa 6 Khrennikov, Andreĭ Yur’evich 6 Makinde, Oluwole Daniel 6 Marrani, Alessio 6 Naudts, Jan 6 Ohara, Atsumi 6 Prakasha, Doddabhadrappla Gowda 6 Rastëgin, Alekseĭ Èduardovich 6 Rosso, Osvaldo A. 6 Shalyt-Margolin, Alexander E. 6 Singh, Jagdev 6 Veeresha, Pundikala 6 Wada, Tatsuaki 6 Yépez-Martínez, Huitzilin 5 Adesanya, Samuel Olumide 5 Al-Smadi, Mohammed H. 5 Al-saedi, Ahmed Eid Salem 5 Barbaresco, Frédéric 5 Cafaro, Carlo 5 Cao, Jinde 5 Chang, Chih-Hung 5 Crutchfield, James P. 5 Ferrara, Sergio 5 Friston, Karl J. 5 Fukuda, Motohisa 5 Hidouri, Nejib 5 Hutter, Marcus 5 Iliyasu, Abdullah M. 5 Keller, Karsten 5 Landes, Jürgen 5 Marcolli, Matilde 5 Nashed, Gamal G. L. 5 Rogolino, Patrizia 5 Saad, Khaled Mohammed 5 Sugiyama, Masashi 5 Tempesta, Piergiulio 5 Yan, Fei 5 Yeranyan, Armen 5 Zhou, Rigui 4 Alkahtani, Badr Saad T. 4 Amari, Shun-ichi 4 Ben Brahim, Ammar 4 Butzer, Paul Leo 4 Cánovas, Jose S. 4 de Grange, Louis 4 De Laurentis, Mariafelicia F. 4 Deng, Fu-Guo 4 Donner, Reik V. 4 Dzhafarov, Ehtibar N. 4 Ebrahimzadeh, Abolfazl 4 Fan, Ping 4 Fujisawa, Hironori 4 Gao, Wei 4 Giusti, Andrea 4 González, Felipe A. 4 Gzyl, Henryk 4 Hammouch, Zakia 4 Hu, Wenwen 4 Kayal, Suchandan 4 Komori, Osamu ...and 3,112 more Authors all top 5 Cited in 398 Journals 166 Entropy 59 Physica A 56 Chaos, Solitons and Fractals 47 International Journal of Theoretical Physics 44 Journal of High Energy Physics 37 Quantum Information Processing 34 Chaos 34 Advances in Difference Equations 27 Journal of Mathematical Physics 27 Foundations of Physics 26 Applied Mathematics and Computation 23 International Journal of Geometric Methods in Modern Physics 21 General Relativity and Gravitation 20 Journal of Statistical Physics 20 Physics Letters. 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(English Edition) 4 Acta Applicandae Mathematicae 4 Information and Computation 4 International Journal of Approximate Reasoning 4 Neural Networks 4 Linear Algebra and its Applications 4 Computational Statistics and Data Analysis 4 Journal of Inequalities and Applications 4 Combustion Theory and Modelling 4 Brazilian Journal of Probability and Statistics 4 Journal of Cosmology and Astroparticle Physics ...and 298 more Journals all top 5 Cited in 59 Fields 350 Statistics (62-XX) 333 Information and communication theory, circuits (94-XX) 307 Quantum theory (81-XX) 219 Statistical mechanics, structure of matter (82-XX) 208 Relativity and gravitational theory (83-XX) 162 Partial differential equations (35-XX) 154 Ordinary differential equations (34-XX) 152 Classical thermodynamics, heat transfer (80-XX) 143 Biology and other natural sciences (92-XX) 136 Computer science (68-XX) 125 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 122 Probability theory and stochastic processes (60-XX) 121 Dynamical systems and ergodic theory (37-XX) 110 Fluid mechanics (76-XX) 99 Real functions (26-XX) 95 Differential geometry (53-XX) 92 Numerical analysis (65-XX) 65 Systems theory; control (93-XX) 53 Operations research, mathematical programming (90-XX) 45 Operator theory (47-XX) 36 Combinatorics (05-XX) 32 Mechanics of deformable solids (74-XX) 28 Mechanics of particles and systems (70-XX) 28 Geophysics (86-XX) 26 Mathematical logic and foundations (03-XX) 26 Astronomy and astrophysics (85-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 21 Functional analysis (46-XX) 18 Measure and integration (28-XX) 18 Optics, electromagnetic theory (78-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Integral equations (45-XX) 13 Special functions (33-XX) 13 Integral transforms, operational calculus (44-XX) 12 Group theory and generalizations (20-XX) 11 Difference and functional equations (39-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 General and overarching topics; collections (00-XX) 10 Nonassociative rings and algebras (17-XX) 10 Approximations and expansions (41-XX) 10 Geometry (51-XX) 10 General topology (54-XX) 8 Topological groups, Lie groups (22-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Functions of a complex variable (30-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 Associative rings and algebras (16-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Abstract harmonic analysis (43-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year