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 1,163 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 458 Publications have been cited 2,453 times in 2,041 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. 98 2015 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 62 2013 Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030Cichocki, Andrzej; Amari, Shun-Ichi 57 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 55 2015 Axiomatic characterizations of information measures. Zbl 1179.94043Csiszár, Imre 50 2008 Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David 46 2012 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 44 2015 Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122Kosloff, Ronnie 29 2013 Generalised exponential families and associated entropy functions. Zbl 1179.94048Naudts, Jan 27 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 Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039Sheng, Yu-Bo; Zhou, Lan 25 2013 Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073Amari, Shun-Ichi; Ohara, Atsumi 24 2011 State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046Sen, Ashoke 24 2011 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 22 2014 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 22 2015 Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028Pereira, Carlos Alberto de Bragança; Stern, Julio Michael 21 1999 Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan 20 2013 Applications of entropy in finance: a review. Zbl 1422.91673Zhou, Rongxi; Cai, Ru; Tong, Guanqun 20 2013 Effective conformal descriptions of black hole entropy. Zbl 1296.83034Carlip, Steven 19 2011 Time series analysis using composite multiscale entropy. Zbl 1298.65020Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen 18 2013 \(stu\) black holes unveiled. Zbl 1179.83049Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen 18 2008 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004Tsallis, Constantino 17 2011 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 17 2014 Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036Iliyasu, Abdullah M. 17 2013 Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392Kaniadakis, Giorgio 17 2013 Entropy: the Markov ordering approach. Zbl 1229.60085Gorban, Alexander N.; Gorban, Pavel A.; Judge, George 17 2010 A characterization of entropy in terms of information loss. Zbl 1301.94043Baez, John C.; Fritz, Tobias; Leinster, Tom 16 2011 Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz 16 2012 Maximum entropy fundamentals. Zbl 1006.94007Harremoeës, P.; Topsøe, F. 16 2001 Entanglement entropy of AdS black holes. Zbl 1229.83045Cadoni, Mariano; Melis, Maurizio 15 2010 Interval entropy and informative distance. Zbl 1306.62214Misagh, Fakhroddin; Yari, Gholamhossein 14 2012 From \(f\)-divergence to quantum quasi-entropies and their use. Zbl 1229.81054Petz, Dénes 14 2010 Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B. 13 2012 The relation between Granger causality and directed information theory: a review. Zbl 06346067Amblard, Pierre-Olivier; Michel, Olivier J. J. 13 2013 Deformed exponentials and applications to finance. Zbl 1422.91725Trivellato, Barbara 13 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 12 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. 12 2012 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 12 2015 Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047Khrennikov, Andrei 12 2008 Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048Faraoni, Valerio 12 2010 Using quantum computers for quantum simulation. Zbl 1229.81062Brown, Katherine L.; Munro, William J.; Kendon, Vivien M. 12 2010 Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002Eguchi, Shinto; Komori, Osamu; Kato, Shogo 11 2011 Entropy and the complexity of graphs revisited. Zbl 1331.94041Mowshowitz, Abbe; Dehmer, Matthias 11 2012 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 11 2014 On the linear combination of exponential and gamma random variables. Zbl 1135.62307Nadarajah, Saralees; Kotz, Samuel 11 2005 Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030Gupta, Maya; Srivastava, Santosh 11 2010 Classes of \(N\)-dimensional nonlinear Fokker-Planck equations associated to Tsallis entropy. Zbl 1297.35242Ribeiro, Mauricio S.; Nobre, Fernando D.; Curado, Evaldo M. F. 10 2011 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005Akın, Hasan 10 2003 Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008Landes, Jürgen; Williamson, Jon 10 2013 All in action. Zbl 1229.82006Annila, Arto 10 2010 A philosophical treatise of universal induction. Zbl 1296.03007Rathmanner, Samuel; Hutter, Marcus 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 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 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 9 2015 Unconditionally secure quantum signatures. Zbl 1338.81158Amiri, Ryan; Andersson, Erika 9 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 On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154Nilsson, Johan 9 2013 Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M. 9 2013 Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062Zhang, Jun 9 2013 Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012Topsøe, F. 9 2001 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 The entropy of progressively censored samples. Zbl 1229.62134Abo-Eleneen, Z. A. 9 2011 The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152Gorban, Alexander N.; Shahzad, Muhammad 8 2011 Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey 8 2011 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 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 8 2015 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018Livingstone, Samuel; Girolami, Mark 8 2014 Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees 8 2013 Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144Pistone, Giovanni 8 2013 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 The role of Hellinger processes in mathematical finance. Zbl 1015.91030Choulli, T.; Hurd, T. R. 8 2001 A weighted generalized maximum entropy estimator with a data-driven weight. Zbl 1179.91209Wu, Ximing 8 2009 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 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 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 An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052Li, Junli; He, Zongyi; Zhu, Qiaoli 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 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 7 2015 The entropy-based quantum metric. Zbl 1338.81096Balian, Roger 7 2014 Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387Unakafova, Valentina A.; Keller, Karsten 7 2013 Deformed density matrix and quantum entropy of the black hole. Zbl 1135.83311Shalyt-Margolin, A. E. 7 2006 Additive cellular automata and volume growth. Zbl 0999.68130Ward, Thomas B. 7 2000 Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie 7 2008 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 Static isolated horizons: \(SU(2)\) invariant phase space, quantization, and black hole entropy. Zbl 1229.83053Perez, Alejandro; Pranzetti, Daniele 7 2011 Adaptive computation of multiscale entropy and its application in EEG signals for monitoring depth of anesthesia during surgery. Zbl 1303.92045Liu, Quan; Wei, Qin; Fan, Shou-Zen; Lu, Cheng-Wei; Lin, Tzu-Yu; Abbod, Maysam F.; Shieh, Jiann-Shing 6 2012 A free energy principle for biological systems. Zbl 1319.92015Friston, Karl 6 2012 Periodic cosmological evolutions of equation of state for dark energy. Zbl 1297.83045Bamba, Kazuharu; Debnath, Ujjal; Yesmakhanova, Kuralay; Tsyba, Petr; Nugmanova, Gulgasyl; Myrzakulov, Ratbay 6 2012 Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126Zhao, Meichun; Wang, Junwei 6 2013 Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458Atangana, Abdon; Alkahtani, Badr Saad T. 98 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 55 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 44 2015 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 22 2015 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 12 2015 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 9 2015 Unconditionally secure quantum signatures. Zbl 1338.81158Amiri, Ryan; Andersson, Erika 9 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 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 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 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 7 2015 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044Lods, Bertrand; Pistone, Giovanni 6 2015 Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160Diamanti, Eleni; Leverrier, Anthony 6 2015 The Hosoya entropy of a graph. Zbl 1338.05267Mowshowitz, Abbe; Dehmer, Matthias 5 2015 Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030Malagò, Luigi; Pistone, Giovanni 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 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 Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M. 4 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 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 New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090Tuluce Demiray, Seyma; Bulut, Hasan 3 2015 Conformal gauge transformations in thermodynamics. Zbl 1338.80004Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco 3 2015 Thermodynamic metrics and black hole physics. Zbl 1338.83092Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit 3 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 Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045Matsuzoe, Hiroshi; Wada, Tatsuaki 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 Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003Andresen, Bjarne 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 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 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 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 22 2014 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 17 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 8 2014 The entropy-based quantum metric. Zbl 1338.81096Balian, Roger 7 2014 Information anatomy of stochastic equilibria. Zbl 1338.60209Marzen, Sarah; Crutchfield, James P. 6 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 Density reconstructions with errors in the data. Zbl 1338.62104Gomes-Gonçalves, Erika; Gzyl, Henryk; Mayoral, Silvia 5 2014 Chaos control and synchronization of a hyperchaotic zhou system by integral sliding mode control. Zbl 1338.34114Toopchi, Yashar; Wang, Jidong 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 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 4 2014 Markov state models for rare events in molecular dynamics. Zbl 1338.82038Sarich, Marco; Banisch, Ralf; Hartmann, Carsten; Schütte, Christof 3 2014 Adaptive switched generalized function projective synchronization between two hyperchaotic systems with unknown parameters. Zbl 1338.34115Zhou, Xiaobing; Xiong, Lianglin; Cai, Xiaomei 3 2014 Information-theoretic bounded rationality and \(\epsilon\)-optimality. Zbl 1338.91050Braun, Daniel A.; Ortega, Pedro A. 3 2014 New Riemannian priors on the univariate normal model. Zbl 1341.62095Said, Salem; Bombrun, Lionel; Berthoumieu, Yannick 3 2014 Entropy evolution and uncertainty estimation with dynamical systems. Zbl 1338.37013Liang, X. San 2 2014 Learning functions and approximate Bayesian computation design: ABCD. Zbl 1341.62091Hainy, Markus; Müller, Werner G.; Wynn, Henry P. 2 2014 Informational non-differentiable entropy and uncertainty relations in complex systems. Zbl 1338.35446Agop, Maricel; Gavriluţ, Alina; Crumpei, Gabriel; Doroftei, Bogdan 2 2014 On the Fisher metric of conditional probability polytopes. Zbl 1338.62070Montúfar, Guido; Rauh, Johannes; Ay, Nihat 2 2014 Duality of maximum entropy and minimum divergence. Zbl 1338.62021Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi 2 2014 The property of chaotic orbits with lower positions of numerical solutions in the logistic map. Zbl 1338.37048Liu, Jiahui; Zhang, Hongli; Song, Dahua 1 2014 Variational Bayes for regime-switching log-normal models. Zbl 1338.62027Zhao, Hui; Marriott, Paul 1 2014 A representation of the relative entropy with respect to a diffusion process in terms of its infinitesimal generator. Zbl 1338.94037Faugeras, Olivier; MacLaurin, James 1 2014 Topological classification of limit cycles of piecewise smooth dynamical systems and its associated non-standard bifurcations. Zbl 1338.37064Taborda, John Alexander; Arango, Ivan 1 2014 Matrix algebraic properties of the Fisher information matrix of stationary processes. Zbl 1338.60108Klein, André 1 2014 On clustering histograms with \(k\)-means by using mixed \(\alpha\)-divergences. Zbl 1341.62186Nielsen, Frank; Nock, Richard; Amari, Shun-ichi 1 2014 A maximum entropy method for a robust portfolio problem. Zbl 1338.91138Xu, Yingying; Wu, Zhuwu; Jiang, Long; Song, Xuefeng 1 2014 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 62 2013 Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122Kosloff, Ronnie 29 2013 Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039Sheng, Yu-Bo; Zhou, Lan 25 2013 Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan 20 2013 Applications of entropy in finance: a review. Zbl 1422.91673Zhou, Rongxi; Cai, Ru; Tong, Guanqun 20 2013 Time series analysis using composite multiscale entropy. Zbl 1298.65020Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen 18 2013 Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036Iliyasu, Abdullah M. 17 2013 Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392Kaniadakis, Giorgio 17 2013 The relation between Granger causality and directed information theory: a review. Zbl 06346067Amblard, Pierre-Olivier; Michel, Olivier J. J. 13 2013 Deformed exponentials and applications to finance. Zbl 1422.91725Trivellato, Barbara 13 2013 Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008Landes, Jürgen; Williamson, Jon 10 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 On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154Nilsson, Johan 9 2013 Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M. 9 2013 Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062Zhang, Jun 9 2013 Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees 8 2013 Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144Pistone, Giovanni 8 2013 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 An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052Li, Junli; He, Zongyi; Zhu, Qiaoli 7 2013 Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387Unakafova, Valentina A.; Keller, Karsten 7 2013 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 ...and 358 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,685 Authors 40 Băleanu, Dumitru I. 21 Shang, Pengjian 14 Gómez-Aguilar, José Francisco 13 Alquran, Marwan Taiseer 11 Atangana, Abdon 11 Dehmer, Matthias 11 Oikonomou, Vasilis K. 10 Ibrahim, Rabha Waell 10 Kumar, Devendra 10 Odintsov, Sergei D. 10 Singh, Jagdev 9 Ahmadian, Ali 9 Akin, Hasan 9 Bellucci, Stefano 9 Cimmelli, Vito Antonio 9 Landes, Jürgen 9 Machado, José António Tenreiro 9 Rezapour, Shahram 9 Salahshour, Soheil 9 Sheng, Yu-Bo 9 Tiwari, Bhupendra Nath 9 Zhou, Lan 8 Arqub, Omar Abu 8 Khan, Ilyas 8 Lucia, Umberto 8 Momani, Shaher M. 8 Pennisi, Sebastiano 8 Pistone, Giovanni 8 Rosso, Osvaldo A. 7 Eguchi, Shinto 7 El-Ajou, Ahmad 7 Inc, Mustafa 7 Jaradat, Imad 7 Kundu, Chanchal 7 Lopes, António M. 7 Myrzakulov, Ratbay 7 Nechita, Ion 7 Saad, Khaled Mohammed 7 Wada, Tatsuaki 6 Adesanya, Samuel Olumide 6 Amigó, José María 6 Baskonus, Haci Mehmet 6 Capozziello, Salvatore 6 Carrisi, Maria Cristina 6 Chen, Lingen 6 Collins, Benoît 6 Emmert-Streib, Frank 6 Escobar-Jiménez, Ricardo Fabricio 6 Gorban, Alexander N. 6 Iliyasu, Abdullah M. 6 Keller, Karsten 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 Shalyt-Margolin, Alexander E. 6 Veeresha, Pundikala 6 Yan, Fei 6 Yépez-Martínez, Huitzilin 6 Zhou, Rigui 5 Akyol, Mehmet Akif 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 Gomez, Ignacio S. 5 Gzyl, Henryk 5 Hidouri, Nejib 5 Hu, Wenwen 5 Hutter, Marcus 5 Kayal, Suchandan 5 Marcolli, Matilde 5 Montani, Fernando 5 Nashed, Gamal G. L. 5 Preda, Vasile C. 5 Qureshi, Sania 5 Rogolino, Patrizia 5 Shi, Yimin 5 Stern, Julio Michael 5 Sugiyama, Masashi 5 Tempesta, Piergiulio 5 Wang, Jun 5 Yeranyan, Armen 5 Yusuf, Abdullahi A. 5 Zhang, Fode 5 Zhang, Jun 4 Agarwal, Praveen 4 Alkahtani, Badr Saad T. 4 Amari, Shun-ichi 4 Ben Brahim, Ammar 4 Butzer, Paul Leo ...and 3,585 more Authors all top 5 Cited in 418 Journals 166 Entropy 144 Physica A 66 Chaos, Solitons and Fractals 49 International Journal of Theoretical Physics 47 Journal of High Energy Physics 47 Quantum Information Processing 39 Advances in Difference Equations 34 Chaos 29 Applied Mathematics and Computation 27 Journal of Mathematical Physics 27 Foundations of Physics 25 General Relativity and Gravitation 23 International Journal of Geometric Methods in Modern Physics 22 Journal of Statistical Physics 21 Physics Letters. A 21 Communications in Nonlinear Science and Numerical Simulation 18 Classical and Quantum Gravity 18 New Journal of Physics 17 Mathematical Problems in Engineering 16 Communications in Statistics. Theory and Methods 16 Information Geometry 15 AIMS Mathematics 14 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 13 Neural Computation 13 Applied Mathematical Modelling 13 Advances in High Energy Physics 12 Information Sciences 12 Journal of Computational and Applied Mathematics 12 Advances in Mathematical Physics 11 Modern Physics Letters A 11 Nuclear Physics. B 11 Physics Letters. B 11 Complexity 10 International Journal of Modern Physics D 10 Nonlinear Dynamics 10 Discrete Dynamics in Nature and Society 10 Journal of Statistical Mechanics: Theory and Experiment 10 Journal of Physics A: Mathematical and Theoretical 10 Journal of Function Spaces 10 International Journal of Applied and Computational Mathematics 9 Computers & Mathematics with Applications 9 Annals of Physics 9 Fractals 9 Open Systems & Information Dynamics 9 Soft Computing 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Acta Mechanica 8 Insurance Mathematics & Economics 8 Statistics & Probability Letters 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Mathematical Biosciences and Engineering 8 Symmetry 7 International Journal of Modern Physics A 7 Journal of the Franklin Institute 7 Reports on Mathematical Physics 7 Theoretical Computer Science 7 Physica D 7 International Journal of Approximate Reasoning 7 Machine Learning 7 European Journal of Operational Research 7 Continuum Mechanics and Thermodynamics 7 Computational and Applied Mathematics 7 Mediterranean Journal of Mathematics 6 Physics Reports 6 Automatica 6 Fuzzy Sets and Systems 6 Journal of Mathematical Psychology 6 Statistical Papers 6 Bernoulli 6 Journal of Mathematical Chemistry 6 Fractional Calculus & Applied Analysis 6 Discrete and Continuous Dynamical Systems. Series B 6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 6 Axioms 5 Biological Cybernetics 5 Communications in Mathematical Physics 5 Bulletin of Mathematical Biology 5 Journal of Multivariate Analysis 5 Statistics 5 Computational Statistics 5 Communications in Statistics. Simulation and Computation 5 Computational Statistics and Data Analysis 5 Turkish Journal of Mathematics 5 Filomat 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 Computers and Fluids 4 International Journal of Engineering Science 4 Journal of Computational Physics 4 Mathematical Biosciences 4 Reviews in Mathematical Physics 4 Journal of Geometry and Physics 4 Kybernetika 4 Mathematics and Computers in Simulation 4 Applied Mathematics and Mechanics. (English Edition) 4 Acta Applicandae Mathematicae 4 Information and Computation ...and 318 more Journals all top 5 Cited in 59 Fields 394 Statistics (62-XX) 361 Information and communication theory, circuits (94-XX) 333 Quantum theory (81-XX) 305 Statistical mechanics, structure of matter (82-XX) 218 Relativity and gravitational theory (83-XX) 178 Ordinary differential equations (34-XX) 172 Partial differential equations (35-XX) 163 Biology and other natural sciences (92-XX) 158 Classical thermodynamics, heat transfer (80-XX) 142 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 141 Computer science (68-XX) 137 Probability theory and stochastic processes (60-XX) 133 Dynamical systems and ergodic theory (37-XX) 120 Fluid mechanics (76-XX) 114 Real functions (26-XX) 106 Differential geometry (53-XX) 104 Numerical analysis (65-XX) 73 Systems theory; control (93-XX) 58 Operations research, mathematical programming (90-XX) 47 Operator theory (47-XX) 43 Combinatorics (05-XX) 36 Mechanics of deformable solids (74-XX) 30 Geophysics (86-XX) 29 Mechanics of particles and systems (70-XX) 27 Astronomy and astrophysics (85-XX) 26 Mathematical logic and foundations (03-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Measure and integration (28-XX) 22 Functional analysis (46-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 20 Optics, electromagnetic theory (78-XX) 19 Integral equations (45-XX) 18 Global analysis, analysis on manifolds (58-XX) 16 Integral transforms, operational calculus (44-XX) 12 Group theory and generalizations (20-XX) 12 Special functions (33-XX) 12 Approximations and expansions (41-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 Topological groups, Lie groups (22-XX) 10 Geometry (51-XX) 10 General topology (54-XX) 9 Nonassociative rings and algebras (17-XX) 8 Convex and discrete geometry (52-XX) 7 Algebraic geometry (14-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 History and biography (01-XX) 4 Number theory (11-XX) 4 Category theory; homological algebra (18-XX) 4 Sequences, series, summability (40-XX) 2 Associative rings and algebras (16-XX) 2 Algebraic topology (55-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