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 H. 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 Favretti, Marco 2 Feixas, Miquel 2 Flego, Silvana 2 Fontana, Nicola 2 Giménez, Angel 2 Golan, Amos 2 González, Felipe A. 2 Gorban, Alexander N. 2 Gough, Michael Paul 2 Grmela, Miroslav 2 Grøn, Øyvind Geelmuyden 2 Guttmann, Anthony John ...and 1,159 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 435 Publications have been cited 1,837 times in 1,576 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. 56 2015 New results on fractional power series: theories and applications. Zbl 1337.26010El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher 48 2013 Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030Cichocki, Andrzej; Amari, Shun-Ichi 44 2010 Axiomatic characterizations of information measures. Zbl 1179.94043Csiszár, Imre 36 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 32 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 30 2015 Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David 26 2012 Generalised exponential families and associated entropy functions. Zbl 1179.94048Naudts, Jan 25 2008 State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046Sen, Ashoke 23 2011 Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039Sheng, Yu-Bo; Zhou, Lan 23 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 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 18 2014 Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073Amari, Shun-Ichi; Ohara, Atsumi 16 2011 \(stu\) black holes unveiled. Zbl 1179.83049Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen 16 2008 Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028de Bragança Pereira, Carlos Alberto; Stern, Julio Michael 16 1999 Maximum entropy fundamentals. Zbl 1006.94007Harremoeës, P.; Topsøe, F. 16 2001 Entropy: the Markov ordering approach. Zbl 1229.60085Gorban, Alexander N.; Gorban, Pavel A.; Judge, George 16 2010 Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz 15 2012 Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122Kosloff, Ronnie 15 2013 Applications of entropy in finance: a review. Zbl 1422.91673Zhou, Rongxi; Cai, Ru; Tong, Guanqun 14 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 14 2012 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 A note on distance-based graph entropies. Zbl 1412.94134Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang 13 2014 Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036Iliyasu, Abdullah M. 12 2013 Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392Kaniadakis, Giorgio 12 2013 Effective conformal descriptions of black hole entropy. Zbl 1296.83034Carlip, Steven 12 2011 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 Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002Eguchi, Shinto; Komori, Osamu; Kato, Shogo 11 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 11 2013 Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030Gupta, Maya; Srivastava, Santosh 11 2010 The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004Tsallis, Constantino 10 2011 A characterization of entropy in terms of information loss. Zbl 1301.94043Baez, John C.; Fritz, Tobias; Leinster, Tom 10 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 10 2012 Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047Khrennikov, Andrei 10 2008 On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005Akın, Hasan 10 2003 Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048Faraoni, Valerio 10 2010 Using quantum computers for quantum simulation. Zbl 1229.81062Brown, Katherine L.; Munro, William J.; Kendon, Vivien M. 10 2010 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 10 2015 Deformed exponentials and applications to finance. Zbl 1422.91725Trivellato, Barbara 9 2013 Interval entropy and informative distance. Zbl 1306.62214Misagh, Fakhroddin; Yari, Gholamhossein 9 2012 Entropy and the complexity of graphs revisited. Zbl 1331.94041Mowshowitz, Abbe; Dehmer, Matthias 9 2012 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 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 Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008Landes, Jürgen; Williamson, Jon 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 The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152Gorban, Alexander N.; Shahzad, Muhammad 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 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 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 The entropy of progressively censored samples. Zbl 1229.62134Abo-Eleneen, Z. A. 8 2011 The meanings of entropy. Zbl 1135.94313Brissaud, Jean-Bernard 8 2005 On the linear combination of exponential and gamma random variables. Zbl 1135.62307Nadarajah, Saralees; Kotz, Samuel 8 2005 Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028Barbaresco, Frédéric 8 2014 A philosophical treatise of universal induction. Zbl 1296.03007Rathmanner, Samuel; Hutter, Marcus 7 2011 The relation between Granger causality and directed information theory: a review. Zbl 06346067Amblard, Pierre-Olivier; Michel, Olivier J. J. 7 2013 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 Chirality and symmetry measures: a transdisciplinary review. Zbl 1078.00503Petitjean, Michel 7 2003 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 Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133Grössing, Gerhard 7 2010 Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287Usta, Ilhan; Kantar, Yeliz Mert 7 2011 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 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 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 7 2015 Analysis and visualization of seismic data using mutual information. Zbl 1335.86006Machado, José A. Tenreiro; Lopes, António M. 6 2013 Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062Zhang, Jun 6 2013 Distances in probability space and the statistical complexity setup. Zbl 1306.62041Kowalski, Andres M.; Martín, Maria Teresa; Plastino, Angelo; Rosso, Osvaldo A.; Casas, Montserrat 6 2011 Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181Makinde, Oluwole Daniel 6 2011 Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey 6 2011 Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo 6 2012 Entropic forms and related algebras. Zbl 1305.82011Scarfone, Antonio Maria 6 2013 Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126Zhao, Meichun; Wang, Junwei 6 2013 Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001Martyushev, Leonid M. 6 2013 An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052Li, Junli; He, Zongyi; Zhu, Qiaoli 6 2013 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 6 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 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 Fact-checking Ziegler’s maximum entropy production principle beyond the linear regime and towards steady states. Zbl 1341.82058Polettini, Matteo 5 2013 Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees 5 2013 On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154Nilsson, Johan 5 2013 On a generalized entropy measure leading to the pathway model with a preliminary application to solar neutrino data. Zbl 1391.94587Mathai, Arak M.; Haubold, Hans J. 5 2013 Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387Unakafova, Valentina A.; Keller, Karsten 5 2013 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 5 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 5 2012 Machine learning with squared-loss mutual information. Zbl 1371.68241Sugiyama, Masashi 5 2013 Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062Zhou, Shengxi; Cao, Junyi; Chen, Yangquan 5 2013 Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164Broadbridge, Phil 5 2008 Entropy and uncertainty. Zbl 1179.94051Robinson, Derek W. 5 2008 A weighted generalized maximum entropy estimator with a data-driven weight. Zbl 1179.91209Wu, Ximing 5 2009 Entropy in the present and early universe: new small parameters and dark energy problem. Zbl 1229.83087Shalyt-Margolin, Alexander 5 2010 Statistical vibroacoustics and entropy concept. Zbl 1229.82104Le Bot, Alain; Carcaterra, Antonio; Mazuyer, Denis 5 2010 Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458Atangana, Abdon; Alkahtani, Badr Saad T. 56 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 32 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 30 2015 Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard 10 2015 Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi 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 Thermal BEC black holes. Zbl 1338.83101Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio 7 2015 Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016Ibrahim, Rabha W.; Jalab, Hamid A. 6 2015 Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano 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 Information geometry on complexity and stochastic interaction. Zbl 1338.94032Ay, Nihat 5 2015 Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005Grmela, Miroslav 4 2015 Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160Diamanti, Eleni; Leverrier, Anthony 4 2015 A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026Wilmers, George 4 2015 Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030Malagò, Luigi; Pistone, Giovanni 3 2015 Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044Lods, Bertrand; Pistone, Giovanni 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 On the exact solution of wave equations on Cantor sets. Zbl 1338.35459Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali 3 2015 Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029Bensadon, Jérémy 3 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 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 The Hosoya entropy of a graph. Zbl 1338.05267Mowshowitz, Abbe; Dehmer, Matthias 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 Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045Matsuzoe, Hiroshi; Wada, Tatsuaki 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 Exact solutions of non-linear lattice equations by an improved exp-function method. Zbl 1338.35092Zhang, Sheng; Li, Jiahong; Zhou, Yingying 1 2015 Generalized stochastic Fokker-Planck equations. Zbl 1338.60154Chavanis, Pierre-Henri 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 Thermodynamic metrics and black hole physics. Zbl 1338.83092Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit 1 2015 Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M. 1 2015 Do transitive preferences always result in indifferent divisions? Zbl 1338.91069Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan 1 2015 Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter 18 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 8 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 Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018Livingstone, Samuel; Girolami, Mark 5 2014 Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348Malagò, Luigi; Pistone, Giovanni 4 2014 Density reconstructions with errors in the data. 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Zbl 1339.83070Resconi, Germano; Licata, Ignazio; Fiscaletti, Davide 4 2013 ...and 335 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,823 Authors 29 Băleanu, Dumitru I. 13 Alquran, Marwan Taiseer 13 Gómez-Aguilar, José Francisco 11 Atangana, Abdon 10 Dehmer, Matthias 10 Machado, José António Tenreiro 9 Akin, Hasan 9 Bellucci, Stefano 9 Shang, Pengjian 9 Sheng, Yu-Bo 9 Tiwari, Bhupendra Nath 9 Zhou, Lan 8 Ibrahim, Rabha Waell 8 Lopes, António M. 8 Lucia, Umberto 7 Cimmelli, Vito Antonio 7 Eguchi, Shinto 7 El-Ajou, Ahmad 7 Jaradat, Imad 7 Momani, Shaher M. 7 Myrzakulov, Ratbay 7 Nechita, Ion 7 Pennisi, Sebastiano 6 Ahmadian, Ali 6 Arqub, Omar Abu 6 Cao, Jinde 6 Capozziello, Salvatore 6 Collins, Benoît 6 Emmert-Streib, Frank 6 Escobar-Jiménez, Ricardo Fabricio 6 Gorban, Alexander N. 6 Makinde, Oluwole Daniel 6 Marrani, Alessio 6 Naudts, Jan 6 Ohara, Atsumi 6 Pistone, Giovanni 6 Rastëgin, Alekseĭ Èduardovich 6 Rosso, Osvaldo A. 6 Salahshour, Soheil 5 Amigó, José María 5 Cafaro, Carlo 5 Carrisi, Maria Cristina 5 Chang, Chih-Hung 5 Crutchfield, James P. 5 Ferrara, Sergio 5 Fukuda, Motohisa 5 Hidouri, Nejib 5 Hutter, Marcus 5 Iliyasu, Abdullah M. 5 Khrennikov, Andreĭ Yur’evich 5 Kumar, Devendra 5 Landes, Jürgen 5 Odintsov, Sergei D. 5 Rezapour, Shahram 5 Saad, Khaled Mohammed 5 Shalyt-Margolin, Alexander E. 5 Sugiyama, Masashi 5 Wada, Tatsuaki 5 Yan, Fei 5 Yépez-Martínez, Huitzilin 5 Yeranyan, Armen 5 Zhou, Rigui 4 Adesanya, Samuel Olumide 4 Alkahtani, Badr Saad T. 4 Amari, Shun-ichi 4 Ben Brahim, Ammar 4 Butzer, Paul Leo 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 Friston, Karl J. 4 Fujisawa, Hironori 4 Giusti, Andrea 4 González, Felipe A. 4 Gzyl, Henryk 4 Hu, Wenwen 4 Inc, Mustafa 4 Kayal, Suchandan 4 Keller, Karsten 4 Khan, Ilyas 4 Komori, Osamu 4 Kundu, Chanchal 4 Li, Tao 4 Licata, Ignazio 4 Magherbi, Mourad 4 Marcolli, Matilde 4 Marzen, Sarah E. 4 Mousalou, Asef 4 Oikonomou, Vasilis K. 4 Olivares-Peregrino, Victor Hugo 4 Plastino, Angel Luis 4 Príncipe, José Carlos 4 Qureshi, Sania 4 Rogolino, Patrizia 4 Sang, Yan-Fang 4 Schmeisser, Gerhard ...and 2,723 more Authors all top 5 Cited in 370 Journals 166 Entropy 43 Physica A 42 Journal of High Energy Physics 41 International Journal of Theoretical Physics 40 Chaos, Solitons and Fractals 37 Quantum Information Processing 34 Chaos 27 Journal of Mathematical Physics 26 Applied Mathematics and Computation 26 Foundations of Physics 25 Advances in Difference Equations 23 International Journal of Geometric Methods in Modern Physics 21 General Relativity and Gravitation 20 Journal of Statistical Physics 18 New Journal of Physics 17 Mathematical Problems in Engineering 16 Communications in Nonlinear Science and Numerical Simulation 14 Physics Letters. 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(English Edition) 4 Acta Applicandae Mathematicae 4 Information and Computation 4 International Journal of Approximate Reasoning 4 Brazilian Journal of Probability and Statistics 4 International Journal of Quantum Information 4 Journal of Theoretical Biology 4 Journal of Applied Analysis and Computation 4 Journal of Mathematics 4 Journal of Function Spaces 3 International Journal of Modern Physics B 3 Metrika 3 Physics Reports 3 Journal of Geometry and Physics 3 Fortschritte der Physik 3 Journal of Combinatorial Theory. Series A 3 Journal of Statistical Planning and Inference 3 Meccanica 3 Monatshefte für Mathematik 3 Neural Networks ...and 270 more Journals all top 5 Cited in 59 Fields 313 Statistics (62-XX) 309 Information and communication theory, circuits (94-XX) 278 Quantum theory (81-XX) 190 Relativity and gravitational theory (83-XX) 176 Statistical mechanics, structure of matter (82-XX) 136 Classical thermodynamics, heat transfer (80-XX) 131 Partial differential equations (35-XX) 126 Ordinary differential equations (34-XX) 122 Computer science (68-XX) 121 Biology and other natural sciences (92-XX) 116 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 113 Probability theory and stochastic processes (60-XX) 110 Dynamical systems and ergodic theory (37-XX) 96 Fluid mechanics (76-XX) 80 Numerical analysis (65-XX) 74 Real functions (26-XX) 69 Differential geometry (53-XX) 61 Systems theory; control (93-XX) 47 Operations research, mathematical programming (90-XX) 36 Operator theory (47-XX) 35 Combinatorics (05-XX) 29 Mechanics of deformable solids (74-XX) 26 Geophysics (86-XX) 24 Mechanics of particles and systems (70-XX) 24 Astronomy and astrophysics (85-XX) 21 Mathematical logic and foundations (03-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 20 Functional analysis (46-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Optics, electromagnetic theory (78-XX) 15 Measure and integration (28-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Integral equations (45-XX) 10 General and overarching topics; collections (00-XX) 10 Special functions (33-XX) 10 Difference and functional equations (39-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Integral transforms, operational calculus (44-XX) 9 Nonassociative rings and algebras (17-XX) 9 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 9 Approximations and expansions (41-XX) 8 General topology (54-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Geometry (51-XX) 5 Functions of a complex variable (30-XX) 4 Number theory (11-XX) 4 Sequences, series, summability (40-XX) 3 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year