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Entropy

Short Title: Entropy
Publisher: Multidisciplinary Digital Publishing Institute (MDPI), Basel
ISSN: 1099-4300/e
Online: http://www.mdpi.com/journal/entropy
Comments: Journal; No longer indexed; Published electronic only as of Vol. 1 (1999). This journal is available open access.
Documents Indexed: 685 Publications (1999–2015)
References Indexed: 600 Publications with 23,215 References.
all top 5

Latest Issues

17, No. 10 (2015)
17, No. 9 (2015)
17, No. 8 (2015)
17, No. 6 (2015)
17, No. 5 (2015)
17, No. 4 (2015)
17, No. 3 (2015)
17, No. 2 (2015)
17, No. 1 (2015)
16, No. 12 (2014)
16, No. 11 (2014)
16, No. 10 (2014)
16, No. 9 (2014)
16, No. 8 (2014)
16, No. 7 (2014)
16, No. 6 (2014)
16, No. 5 (2014)
16, No. 4 (2014)
16, No. 3 (2014)
16, No. 2 (2014)
16, No. 1 (2014)
15, No. 12 (2013)
15, No. 11 (2013)
15, No. 10 (2013)
15, No. 9 (2013)
15, No. 8 (2013)
15, No. 7 (2013)
15, No. 6 (2013)
15, No. 5 (2013)
15, No. 4 (2013)
15, No. 3 (2013)
15, No. 2 (2013)
15, No. 1 (2013)
14, No. 12 (2012)
14, No. 11 (2012)
14, No. 10 (2012)
14, No. 9 (2012)
14, No. 8 (2012)
14, No. 7 (2012)
14, No. 6 (2012)
14, No. 5 (2012)
14, No. 4 (2012)
14, No. 3 (2012)
14, No. 2 (2012)
14, No. 1 (2012)
13, No. 12 (2011)
13, No. 11 (2011)
13, No. 10 (2011)
13, No. 9 (2011)
13, No. 8 (2011)
13, No. 7 (2011)
13, No. 6 (2011)
13, No. 5 (2011)
13, No. 4 (2011)
13, No. 3 (2011)
13, No. 2 (2011)
13, No. 1 (2011)
12, No. 12 (2010)
12, No. 11 (2010)
12, No. 10 (2010)
12, No. 9 (2010)
12, No. 8 (2010)
12, No. 7 (2010)
12, No. 6 (2010)
12, No. 5 (2010)
12, No. 4 (2010)
12, No. 3 (2010)
12, No. 2 (2010)
12, No. 1 (2010)
11, No. 4 (2009)
11, No. 3 (2009)
11, No. 2 (2009)
11, No. 1 (2009)
10, No. 4 (2008)
10, No. 3 (2008)
10, No. 2 (2008)
9, No. 4 (2007)
9, No. 3 (2007)
9, No. 1 (2007)
8, No. 4 (2006)
8, No. 3 (2006)
8, No. 2 (2006)
8, No. 1 (2006)
7, No. 4 (2005)
7, No. 2 (2005)
7, No. 1 (2005)
6, No. 5 (2004)
6, No. 4 (2004)
6, No. 3 (2004)
6, No. 2 (2004)
6, No. 1 (2004)
5, No. 4 (2003)
5, No. 3 (2003)
5, No. 2 (2003)
5, No. 1 (2003)
4, No. 6 (2002)
4, No. 5 (2002)
4, No. 4 (2002)
4, No. 3 (2002)
4, No. 2 (2002)
...and 10 more Volumes
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Authors

9 Plastino, Angelo
6 Príncipe, José Carlos
5 Chen, Badong
5 Eguchi, Shinto
4 Abbod, Maysam F.
4 Amari, Shun-ichi
4 Ay, Nihat
4 Casas, Montserrat
4 Dehmer, Matthias
4 Feidt, Michel
4 Gzyl, Henryk
4 Hidouri, Nejib
4 Iñiguez, José C.
4 Isaacson, LaVar King
4 Magherbi, Mourad
4 Makinde, Oluwole Daniel
4 Mittelhammer, Ron C.
4 Naudts, Jan
4 Pennini, Flavia
4 Pistone, Giovanni
4 Sang, Yan-Fang
4 Shieh, Jiann-Shing
3 Bellucci, Stefano
3 Ben Brahim, Ammar
3 Bouabid, Mounir
3 Broadbridge, Philip
3 Cichocki, Andrzej
3 Dai, Bin
3 de Grange, Louis
3 Hou, Guolian
3 Ibrahim, Rabha Waell
3 Judge, George G.
3 Juretić, Davor
3 Komori, Osamu
3 Kowalski, Andres M.
3 Kuić, Domagoj
3 Luo, Yuan
3 Marsh, Thomas L.
3 Müller, Ingo
3 Ohara, Atsumi
3 Olivares, Felipe
3 Quarati, Piero
3 Ren, Mifeng
3 Scarfone, Antonio Maria
3 Schlatter, Andreas E.
3 Schulman, Lawrence S.
3 Shalyt-Margolin, Alexander E.
3 Wada, Tatsuaki
3 Wang, Dong
3 Wei, Qin
3 Wu, Jichun
3 Zhang, Jianhua
3 Zhou, Xiaobing
3 Županović, Paško
2 Abdullah, Shahrir
2 Al-Nimr, Mohammad Ahmad
2 Amigó, José María
2 Arnaud, Jacques
2 Baeten, Maarten
2 Balaji, Bhashyam
2 Băleanu, Dumitru I.
2 Balian, Roger
2 Barranco-Jiménez, Marco A.
2 Beretta, Gian Paolo
2 Berthoumieu, Yannick
2 Brevik, Iver Håkon
2 Bulut, Hasan
2 Burgin, Mark
2 Cafaro, Carlo
2 Cai, Xiaomei
2 Cardell, Nicholas Scott
2 Cerra, Daniele
2 Chan, Terence H.
2 Chen, Borsen
2 Chen, Zengqiang
2 Cho, Youngseuk
2 Chusseau, Laurent
2 Crompton, Peter R.
2 Datcu, Mihai
2 Dedeo, Simon
2 Descombes, Georges
2 Dodig-Crnkovic, Gordana
2 Dong, Yuxiang
2 Donoso, Pedro
2 El-Bakkali, Amin
2 Essex, Christopher
2 Fan, Shou-Zen
2 Faugeras, Olivier D.
2 Favretti, Marco
2 Feixas, Miquel
2 Flego, Silvana
2 Fontana, Nicola
2 Giménez, Angel
2 Golan, Amos
2 González, Felipe A.
2 Gorban, Alexander N.
2 Gough, Michael Paul
2 Grmela, Miroslav
2 Grøn, Øyvind Geelmuyden
2 Guttmann, Anthony John
...and 1,163 more Authors
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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

Citations contained in zbMATH Open

473 Publications have been cited 2,832 times in 2,374 Documents Cited by Year
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
Atangana, Abdon; Alkahtani, Badr Saad T.
106
2015
Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030
Cichocki, Andrzej; Amari, Shun-Ichi
70
2010
New results on fractional power series: theories and applications. Zbl 1337.26010
El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher
70
2013
On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025
Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen
62
2015
Axiomatic characterizations of information measures. Zbl 1179.94043
Csiszár, Imre
59
2008
Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026
Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo
52
2015
Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033
Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David
50
2012
Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122
Kosloff, Ronnie
48
2013
Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories. Zbl 1297.83018
De La Cruz-Dombriz, Alvaro; Sáez-Gómez, Diego
40
2012
\(stu\) black holes unveiled. Zbl 1179.83049
Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen
33
2008
Generalised exponential families and associated entropy functions. Zbl 1179.94048
Naudts, Jan
28
2008
Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073
Amari, Shun-Ichi; Ohara, Atsumi
27
2011
State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046
Sen, Ashoke
27
2011
Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056
Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard
27
2015
Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028
Pereira, Carlos Alberto de Bragança; Stern, Julio Michael
27
1999
Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter
26
2014
A characterization of entropy in terms of information loss. Zbl 1301.94043
Baez, John C.; Fritz, Tobias; Leinster, Tom
25
2011
Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039
Sheng, Yu-Bo; Zhou, Lan
25
2013
Effective conformal descriptions of black hole entropy. Zbl 1296.83034
Carlip, Steven
22
2011
The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004
Tsallis, Constantino
22
2011
Applications of entropy in finance: a review. Zbl 1422.91673
Zhou, Rongxi; Cai, Ru; Tong, Guanqun
22
2013
A note on distance-based graph entropies. Zbl 1412.94134
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang
22
2014
Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan
21
2013
Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392
Kaniadakis, Giorgio
21
2013
Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006
Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz
20
2012
Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036
Iliyasu, Abdullah M.
20
2013
Maximum entropy fundamentals. Zbl 1006.94007
Harremoeës, P.; Topsøe, F.
18
2001
Entropy: the Markov ordering approach. Zbl 1229.60085
Gorban, Alexander N.; Gorban, Pavel A.; Judge, George
17
2010
Interval entropy and informative distance. Zbl 1306.62214
Misagh, Fakhroddin; Yari, Gholamhossein
17
2012
Entanglement entropy of AdS black holes. Zbl 1229.83045
Cadoni, Mariano; Melis, Maurizio
16
2010
Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040
Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B.
16
2012
Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
16
2012
Time series analysis using composite multiscale entropy. Zbl 1298.65020
Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen
16
2013
From \(f\)-divergence to quantum quasi-entropies and their use. Zbl 1229.81054
Petz, Dénes
15
2010
Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048
Faraoni, Valerio
15
2010
The relation between Granger causality and directed information theory: a review. Zbl 06346067
Amblard, Pierre-Olivier; Michel, Olivier J. J.
15
2013
Deformed exponentials and applications to finance. Zbl 1422.91725
Trivellato, Barbara
14
2013
Using quantum computers for quantum simulation. Zbl 1229.81062
Brown, Katherine L.; Munro, William J.; Kendon, Vivien M.
13
2010
Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047
Khrennikov, Andrei
13
2008
Multivariate multi-scale permutation entropy for complexity analysis of Alzheimer’s disease EEG. Zbl 1314.92042
Morabito, Francesco Carlo; Labate, Domenico; La Foresta, Fabio; Bramanti, Alessia; Morabito, Giuseppe; Palamara, Isabella
13
2012
Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062
Zhang, Jun
13
2013
The entropy of progressively censored samples. Zbl 1229.62134
Abo-Eleneen, Z. A.
12
2011
Entropy and the complexity of graphs revisited. Zbl 1331.94041
Mowshowitz, Abbe; Dehmer, Matthias
12
2012
Cosmology of \(F(T)\) gravity and k-essence. Zbl 1297.83056
Myrzakulov, Ratbay
12
2012
Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095
Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M.
12
2013
Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028
Barbaresco, Frédéric
12
2014
Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034
Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi
12
2015
Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016
Ibrahim, Rabha W.; Jalab, Hamid A.
12
2015
Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030
Gupta, Maya; Srivastava, Santosh
11
2010
On the microscopic perspective of black branes thermodynamic geometry. Zbl 1229.83043
Bellucci, Stefano; Tiwari, Bhupendra Nath
11
2010
A philosophical treatise of universal induction. Zbl 1296.03007
Rathmanner, Samuel; Hutter, Marcus
11
2011
Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002
Eguchi, Shinto; Komori, Osamu; Kato, Shogo
11
2011
Classes of \(N\)-dimensional nonlinear Fokker-Planck equations associated to Tsallis entropy. Zbl 1297.35242
Ribeiro, Mauricio S.; Nobre, Fernando D.; Curado, Evaldo M. F.
11
2011
Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008
Landes, Jürgen; Williamson, Jon
11
2013
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
11
2013
Unconditionally secure quantum signatures. Zbl 1338.81158
Amiri, Ryan; Andersson, Erika
11
2015
Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104
Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano
11
2015
Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091
Wang, Linjun; Chen, Xumei
11
2015
Thermal BEC black holes. Zbl 1338.83101
Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio
11
2015
Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018
Livingstone, Samuel; Girolami, Mark
11
2014
On the linear combination of exponential and gamma random variables. Zbl 1135.62307
Nadarajah, Saralees; Kotz, Samuel
10
2005
Entropy and divergence associated with power function and the statistical application. Zbl 1229.82010
Eguchi, Shinto; Kato, Shogo
10
2010
Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133
Grössing, Gerhard
10
2010
All in action. Zbl 1229.82006
Annila, Arto
10
2010
Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287
Usta, Ilhan; Kantar, Yeliz Mert
10
2011
Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045
Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie
10
2008
On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005
Akın, Hasan
10
2003
Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181
Makinde, Oluwole Daniel
10
2011
A spacetime foam approach to the Schwarzschild-de Sitter entropy. Zbl 0996.83022
Garattini, Remo
10
2000
Entropy-related extremum principles for model reduction of dissipative dynamical systems. Zbl 1229.37019
Lebiedz, Dirk
9
2010
Engineering model reduction and entropy-based Lyapunov functions in chemical reaction kinetics. Zbl 1229.80021
Hangos, Katalin M.
9
2010
Eigenvalue and entropy statistics for products of conjugate random quantum channels. Zbl 1229.81044
Collins, Benoît; Nechita, Ion
9
2010
Information theory and dynamical system predictability. Zbl 1229.94026
Kleeman, Richard
9
2011
Static isolated horizons: \(SU(2)\) invariant phase space, quantization, and black hole entropy. Zbl 1229.83053
Perez, Alejandro; Pranzetti, Daniele
9
2011
The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152
Gorban, Alexander N.; Shahzad, Muhammad
9
2011
Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004
Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey
9
2011
Entropic forms and related algebras. Zbl 1305.82011
Scarfone, Antonio Maria
9
2013
Reliability of inference of directed climate networks using conditional mutual information. Zbl 1296.62218
Hlinka, Jaroslav; Hartman, David; Vejmelka, Martin; Runge, Jakob; Marwan, Norbert; Kurths, Jürgen; Paluš, Milan
9
2013
Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153
Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees
9
2013
Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012
Topsøe, F.
9
2001
The meanings of entropy. Zbl 1135.94313
Brissaud, Jean-Bernard
8
2005
On Darcy-Brinkman equation: viscous flow between two parallel plates packed with regular square arrays of cylinders. Zbl 1135.76312
Liu, Haidong; Patil, Prabhamani R.; Narusawa, Uichiro
8
2007
A weighted generalized maximum entropy estimator with a data-driven weight. Zbl 1179.91209
Wu, Ximing
8
2009
Distances in probability space and the statistical complexity setup. Zbl 1306.62041
Kowalski, Andres M.; Martín, Maria Teresa; Plastino, Angelo; Rosso, Osvaldo A.; Casas, Montserrat
8
2011
Thermodynamics of regular cosmological black holes with the de Sitter interior. Zbl 1296.83036
Dymnikova, Irina; Korpusik, Michał
8
2011
Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017
Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo
8
2012
An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052
Li, Junli; He, Zongyi; Zhu, Qiaoli
8
2013
On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154
Nilsson, Johan
8
2013
Information geometry on complexity and stochastic interaction. Zbl 1338.94032
Ay, Nihat
8
2015
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
8
2015
Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160
Diamanti, Eleni; Leverrier, Anthony
8
2015
The role of Hellinger processes in mathematical finance. Zbl 1015.91030
Choulli, T.; Hurd, T. R.
8
2001
Deformed density matrix and quantum entropy of the black hole. Zbl 1135.83311
Shalyt-Margolin, A. E.
7
2006
Quantum entropy and its applications to quantum communication and statistical physics. Zbl 1229.81002
Ohya, Masanori; Watanabe, Noboru
7
2010
Roofs and convexity. Zbl 1229.81056
Uhlmann, Armin
7
2010
Entropy production during asymptotically safe inflation. Zbl 1229.83072
Bonanno, Alfio; Reuter, Martin
7
2011
Entropy and energy, - a universal competition. Zbl 1179.80008
Müller, Ingo
7
2008
Properties of the statistical complexity functional and partially deterministic HMMs. Zbl 1179.82099
Löhr, Wolfgang
7
2009
Processing information in quantum decision theory. Zbl 1179.81040
Yukalov, Vyacheslav I.; Sornette, Didier
7
2009
Chirality and symmetry measures: a transdisciplinary review. Zbl 1078.00503
Petitjean, Michel
7
2003
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
Atangana, Abdon; Alkahtani, Badr Saad T.
106
2015
On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025
Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen
62
2015
Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026
Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo
52
2015
Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056
Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard
27
2015
Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034
Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi
12
2015
Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016
Ibrahim, Rabha W.; Jalab, Hamid A.
12
2015
Unconditionally secure quantum signatures. Zbl 1338.81158
Amiri, Ryan; Andersson, Erika
11
2015
Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104
Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano
11
2015
Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091
Wang, Linjun; Chen, Xumei
11
2015
Thermal BEC black holes. Zbl 1338.83101
Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio
11
2015
Information geometry on complexity and stochastic interaction. Zbl 1338.94032
Ay, Nihat
8
2015
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
8
2015
Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160
Diamanti, Eleni; Leverrier, Anthony
8
2015
Entropy of weighted graphs with Randić weights. Zbl 1338.05266
Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang
7
2015
On the exact solution of wave equations on Cantor sets. Zbl 1338.35459
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali
7
2015
Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006
Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M.
7
2015
Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030
Malagò, Luigi; Pistone, Giovanni
6
2015
Generalized stochastic Fokker-Planck equations. Zbl 1338.60154
Chavanis, Pierre-Henri
6
2015
Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045
Matsuzoe, Hiroshi; Wada, Tatsuaki
5
2015
New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090
Tuluce Demiray, Seyma; Bulut, Hasan
5
2015
Conformal gauge transformations in thermodynamics. Zbl 1338.80004
Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco
5
2015
A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026
Wilmers, George
5
2015
The Hosoya entropy of a graph. Zbl 1338.05267
Mowshowitz, Abbe; Dehmer, Matthias
5
2015
Proportionate minimum error entropy algorithm for sparse system identification. Zbl 1338.94049
Wu, Zongze; Peng, Siyuan; Chen, Badong; Zhao, Haiquan; Principe, Jose C.
4
2015
Entropies from coarse-graining: convex polytopes vs. ellipsoids. Zbl 1338.94041
Kalogeropoulos, Nikos
4
2015
Generalized boundary conditions for the time-fractional advection diffusion equation. Zbl 1338.35476
Povstenko, Yuriy
4
2015
New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics. Zbl 1338.35089
Baskonus, Haci Mehmet; Bulut, Hasan
4
2015
Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005
Grmela, Miroslav
4
2015
On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra. Zbl 1338.43004
Scarfone, Antonio Maria
3
2015
Thermodynamic metrics and black hole physics. Zbl 1338.83092
Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit
3
2015
A Bayesian decision-theoretic approach to logically-consistent hypothesis testing. Zbl 1338.62029
da Silva, Gustavo Miranda; Esteves, Luis Gustavo; Fossaluza, Victor; Izbicki, Rafael; Wechsler, Sergio
3
2015
Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029
Bensadon, Jérémy
3
2015
Robust \(H_\infty\) finite-time control for discrete Markovian jump systems with disturbances of probabilistic distributions. Zbl 1338.93340
Chen, Haiyang; Liu, Meiqin; Zhang, Senlin
3
2015
Do transitive preferences always result in indifferent divisions? Zbl 1338.91069
Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan
3
2015
Exact solutions of non-linear lattice equations by an improved exp-function method. Zbl 1338.35092
Zhang, Sheng; Li, Jiahong; Zhou, Yingying
2
2015
Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003
Andresen, Bjarne
2
2015
Ricci curvature, isoperimetry and a non-additive entropy. Zbl 1338.94042
Kalogeropoulos, Nikos
2
2015
Properties of nonnegative Hermitian matrices and new entropic inequalities for noncomposite quantum systems. Zbl 1338.81068
Man’ko, Margarita A.; Man’ko, Vladimir I.
1
2015
Non-abelian topological approach to non-locality of a hypergraph state. Zbl 1338.94033
Berec, Vesna
1
2015
Entropy approximation in lossy source coding problem. Zbl 1338.94053
Śmieja, Marek; Tabor, Jacek
1
2015
Brownian motion in Minkowski space. Zbl 1338.60204
O’Hara, Paul; Rondoni, Lamberto
1
2015
Tail risk constraints and maximum entropy. Zbl 1338.62023
Geman, Donald; Geman, Hélyette; Taleb, Nassim Nicholas
1
2015
A penalized likelihood approach to parameter estimation with integral reliability constraints. Zbl 1338.62067
Smith, Barry; Wang, Steven; Wong, Augustine; Zhou, Xiaofeng
1
2015
Generalised complex geometry in thermodynamical fluctuation theory. Zbl 1338.53111
Fernández de Córdoba, P.; Isidro, J. M.
1
2015
Bayesian inference on the memory parameter for gamma-modulated regression models. Zbl 1343.62049
Andrade, Plinio; Rifo, Laura; Torres, Soledad; Torres-Avilés, Francisco
1
2015
Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter
26
2014
A note on distance-based graph entropies. Zbl 1412.94134
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang
22
2014
Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028
Barbaresco, Frédéric
12
2014
Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018
Livingstone, Samuel; Girolami, Mark
11
2014
Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348
Malagò, Luigi; Pistone, Giovanni
7
2014
The entropy-based quantum metric. Zbl 1338.81096
Balian, Roger
7
2014
Information anatomy of stochastic equilibria. Zbl 1338.60209
Marzen, Sarah; Crutchfield, James P.
7
2014
An estimation of the entropy for a Rayleigh distribution based on doubly-generalized type-II hybrid censored samples. Zbl 1341.62279
Cho, Youngseuk; Sun, Hokeun; Lee, Kyeongjun
6
2014
Markov state models for rare events in molecular dynamics. Zbl 1338.82038
Sarich, Marco; Banisch, Ralf; Hartmann, Carsten; Schütte, Christof
6
2014
On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies. Zbl 1338.94036
Falniowski, Fryderyk
5
2014
Information-theoretic bounded rationality and \(\epsilon\)-optimality. Zbl 1338.91050
Braun, Daniel A.; Ortega, Pedro A.
5
2014
The information geometry of Bregman divergences and some applications in multi-expert reasoning. Zbl 1338.94031
Adamčík, Martin
5
2014
Information geometric complexity of a trivariate Gaussian statistical model. Zbl 1338.62022
Felice, Domenico; Cafaro, Carlo; Mancini, Stefano
5
2014
Density reconstructions with errors in the data. Zbl 1338.62104
Gomes-Gonçalves, Erika; Gzyl, Henryk; Mayoral, Silvia
5
2014
Chaos control and synchronization of a hyperchaotic zhou system by integral sliding mode control. Zbl 1338.34114
Toopchi, Yashar; Wang, Jidong
5
2014
Existence of entropy solutions for nonsymmetric fractional systems. Zbl 1338.35469
Ibrahim, Rabha W.; Jalab, Hamid A.
4
2014
Generalized maximum entropy analysis of the linear simultaneous equations model. Zbl 1338.62066
Marsh, Thomas L.; Mittelhammer, Ron; Cardell, Nicholas Scott
4
2014
\(F\)-geometry and Amari’s \(\alpha\)-geometry on a statistical manifold. Zbl 1338.62069
Harsha, K. V.; Subrahamanian Moosath, K. S.
4
2014
Adaptive switched generalized function projective synchronization between two hyperchaotic systems with unknown parameters. Zbl 1338.34115
Zhou, Xiaobing; Xiong, Lianglin; Cai, Xiaomei
4
2014
Entropy evolution and uncertainty estimation with dynamical systems. Zbl 1338.37013
Liang, X. San
3
2014
On the Fisher metric of conditional probability polytopes. Zbl 1338.62070
Montúfar, Guido; Rauh, Johannes; Ay, Nihat
3
2014
Duality of maximum entropy and minimum divergence. Zbl 1338.62021
Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi
3
2014
New Riemannian priors on the univariate normal model. Zbl 1341.62095
Said, Salem; Bombrun, Lionel; Berthoumieu, Yannick
3
2014
Learning functions and approximate Bayesian computation design: ABCD. Zbl 1341.62091
Hainy, Markus; Müller, Werner G.; Wynn, Henry P.
2
2014
Informational non-differentiable entropy and uncertainty relations in complex systems. Zbl 1338.35446
Agop, Maricel; Gavriluţ, Alina; Crumpei, Gabriel; Doroftei, Bogdan
2
2014
Matrix algebraic properties of the Fisher information matrix of stationary processes. Zbl 1338.60108
Klein, André
2
2014
On clustering histograms with \(k\)-means by using mixed \(\alpha\)-divergences. Zbl 1341.62186
Nielsen, Frank; Nock, Richard; Amari, Shun-ichi
2
2014
Variational Bayes for regime-switching log-normal models. Zbl 1338.62027
Zhao, Hui; Marriott, Paul
1
2014
A representation of the relative entropy with respect to a diffusion process in terms of its infinitesimal generator. Zbl 1338.94037
Faugeras, Olivier; MacLaurin, James
1
2014
Statistical analysis of distance estimators with density differences and density ratios. Zbl 1338.62106
Kanamori, Takafumi; Sugiyama, Masashi
1
2014
Topological classification of limit cycles of piecewise smooth dynamical systems and its associated non-standard bifurcations. Zbl 1338.37064
Taborda, John Alexander; Arango, Ivan
1
2014
Non-extensive entropy econometrics: new statistical features of constant elasticity of substitution-related models. Zbl 1338.62191
Bwanakare, Second
1
2014
A maximum entropy method for a robust portfolio problem. Zbl 1338.91138
Xu, Yingying; Wu, Zhuwu; Jiang, Long; Song, Xuefeng
1
2014
The property of chaotic orbits with lower positions of numerical solutions in the logistic map. Zbl 1338.37048
Liu, Jiahui; Zhang, Hongli; Song, Dahua
1
2014
New results on fractional power series: theories and applications. Zbl 1337.26010
El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher
70
2013
Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122
Kosloff, Ronnie
48
2013
Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039
Sheng, Yu-Bo; Zhou, Lan
25
2013
Applications of entropy in finance: a review. Zbl 1422.91673
Zhou, Rongxi; Cai, Ru; Tong, Guanqun
22
2013
Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan
21
2013
Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392
Kaniadakis, Giorgio
21
2013
Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036
Iliyasu, Abdullah M.
20
2013
Time series analysis using composite multiscale entropy. Zbl 1298.65020
Wu, Shuen-De; Wu, Chiu-Wen; Lin, Shiou-Gwo; Wang, Chun-Chieh; Lee, Kung-Yen
16
2013
The relation between Granger causality and directed information theory: a review. Zbl 06346067
Amblard, Pierre-Olivier; Michel, Olivier J. J.
15
2013
Deformed exponentials and applications to finance. Zbl 1422.91725
Trivellato, Barbara
14
2013
Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062
Zhang, Jun
13
2013
Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095
Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M.
12
2013
Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008
Landes, Jürgen; Williamson, Jon
11
2013
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
11
2013
Entropic forms and related algebras. Zbl 1305.82011
Scarfone, Antonio Maria
9
2013
Reliability of inference of directed climate networks using conditional mutual information. Zbl 1296.62218
Hlinka, Jaroslav; Hartman, David; Vejmelka, Martin; Runge, Jakob; Marwan, Norbert; Kurths, Jürgen; Paluš, Milan
9
2013
Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153
Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees
9
2013
An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052
Li, Junli; He, Zongyi; Zhu, Qiaoli
8
2013
On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154
Nilsson, Johan
8
2013
Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001
Martyushev, Leonid M.
7
2013
Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062
Zhou, Shengxi; Cao, Junyi; Chen, Yangquan
7
2013
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Cited by 4,301 Authors

40 Băleanu, Dumitru I.
22 Oikonomou, Vasilis K.
18 Odintsov, Sergei D.
17 Shang, Pengjian
16 Gómez-Aguilar, José Francisco
13 Alquran, Marwan Taiseer
12 Atangana, Abdon
12 Bellucci, Stefano
12 Dehmer, Matthias
12 Tiwari, Bhupendra Nath
11 Kumar, Devendra
11 Landes, Jürgen
11 Shalyt-Margolin, Alexander E.
11 Singh, Jagdev
10 Arqub, Omar Abu
10 Cimmelli, Vito Antonio
10 Ibrahim, Rabha Waell
10 Machado, José António Tenreiro
10 Pistone, Giovanni
10 Wada, Tatsuaki
9 Ahmadian, Ali
9 Akin, Hasan
9 Khan, Ilyas
9 Rezapour, Shahram
9 Salahshour, Soheil
9 Sheng, Yu-Bo
9 Zhou, Lan
8 Eguchi, Shinto
8 Inc, Mustafa
8 Lopes, António M.
8 Lucia, Umberto
8 Momani, Shaher M.
8 Pennisi, Sebastiano
8 Rosso, Osvaldo A.
7 Cao, Jinde
7 Capozziello, Salvatore
7 El-Ajou, Ahmad
7 Escobar-Jiménez, Ricardo Fabricio
7 Jaradat, Imad
7 Kayal, Suchandan
7 Keller, Karsten
7 Kundu, Chanchal
7 Myrzakulov, Ratbay
7 Nashed, Gamal G. L.
7 Naudts, Jan
7 Nechita, Ion
7 Prakasha, Doddabhadrappla Gowda
7 Preda, Vasile C.
7 Saad, Khaled Mohammed
7 Scarfone, Antonio Maria
7 Veeresha, Pundikala
7 Yan, Fei
6 Adesanya, Samuel Olumide
6 Agarwal, Praveen
6 Akyol, Mehmet Akif
6 Al-Smadi, Mohammed H.
6 Amigó, José María
6 Baskonus, Haci Mehmet
6 Carrisi, Maria Cristina
6 Chen, Lingen
6 Collins, Benoît
6 Emmert-Streib, Frank
6 Gorban, Alexander N.
6 Hutter, Marcus
6 Iliyasu, Abdullah M.
6 Khrennikov, Andreĭ Yur’evich
6 Makinde, Oluwole Daniel
6 Matsuzoe, Hiroshi
6 Ohara, Atsumi
6 Rastëgin, Alekseĭ Èduardovich
6 Sellitto, Antonio
6 Yépez-Martínez, Huitzilin
6 Zhang, Jun
6 Zhou, Rigui
5 Al-saedi, Ahmed Eid Salem
5 Barbaresco, Frédéric
5 Bickel, David R.
5 Cafaro, Carlo
5 Cánovas, Jose S.
5 Chang, Chih-Hung
5 Chen, Nan
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 Kowalski, Andres M.
5 Lone, Mehraj Ahmad
5 Marcolli, Matilde
5 Marrani, Alessio
5 Minh, Ha Quang
5 Mondal, Sayid
5 Montani, Fernando
5 Ng, Hon Keung Tony
5 Ngom, Papa
5 Nojiri, Shin’ichi
5 Qureshi, Sania
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Cited in 460 Journals

166 Physica A
166 Entropy
79 Journal of High Energy Physics
62 Chaos, Solitons and Fractals
54 Quantum Information Processing
52 International Journal of Theoretical Physics
39 Advances in Difference Equations
34 Chaos
32 Applied Mathematics and Computation
31 International Journal of Geometric Methods in Modern Physics
30 Journal of Mathematical Physics
29 Foundations of Physics
27 Journal of Physics A: Mathematical and Theoretical
25 General Relativity and Gravitation
23 Physics Letters. A
23 Communications in Nonlinear Science and Numerical Simulation
22 Journal of Statistical Physics
22 Information Geometry
21 New Journal of Physics
20 Classical and Quantum Gravity
20 Communications in Statistics. Theory and Methods
17 Nuclear Physics. B
17 Mathematical Problems in Engineering
16 Physics Letters. B
15 AIMS Mathematics
14 Information Sciences
14 Applied Mathematical Modelling
14 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
13 Physica D
13 Neural Computation
13 Annals of Physics
13 Advances in High Energy Physics
13 Advances in Mathematical Physics
12 Modern Physics Letters A
12 Journal of Computational and Applied Mathematics
12 Open Systems & Information Dynamics
11 Mathematical Methods in the Applied Sciences
11 Fractals
11 Complexity
11 Discrete Dynamics in Nature and Society
11 Journal of Statistical Mechanics: Theory and Experiment
10 International Journal of Modern Physics D
10 Nonlinear Dynamics
10 Journal of Function Spaces
10 International Journal of Applied and Computational Mathematics
9 Computers & Mathematics with Applications
9 Physics Reports
9 Statistics & Probability Letters
9 International Journal of Approximate Reasoning
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of Mathematical Chemistry
9 Soft Computing
9 Journal of Cosmology and Astroparticle Physics
9 Mathematical Biosciences and Engineering
9 Symmetry
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Acta Mechanica
8 Journal of the Franklin Institute
8 Reports on Mathematical Physics
8 Fuzzy Sets and Systems
8 Insurance Mathematics & Economics
8 Continuum Mechanics and Thermodynamics
7 International Journal of Modern Physics A
7 Journal of Computational Physics
7 Automatica
7 Theoretical Computer Science
7 Machine Learning
7 European Journal of Operational Research
7 Computational and Applied Mathematics
7 Fractional Calculus & Applied Analysis
7 Mediterranean Journal of Mathematics
7 Nonlinear Phenomena in Complex Systems (Minsk)
7 Axioms
6 Bulletin of Mathematical Biology
6 Fortschritte der Physik
6 Journal of Mathematical Psychology
6 Statistics
6 Neural Networks
6 Statistical Papers
6 Bernoulli
6 Discrete and Continuous Dynamical Systems. Series B
6 Mathematical Modelling of Natural Phenomena
6 Communications in Theoretical Physics
6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
5 Biological Cybernetics
5 Communications in Mathematical Physics
5 Journal of Fluid Mechanics
5 Journal of Multivariate Analysis
5 Meccanica
5 Numerical Methods for Partial Differential Equations
5 Computational Statistics
5 Communications in Statistics. Simulation and Computation
5 Computational Statistics and Data Analysis
5 Turkish Journal of Mathematics
5 Filomat
5 Annales Henri Poincaré
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 International Journal of Quantum Information
5 Boundary Value Problems
5 Communications in Applied and Industrial Mathematics
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Cited in 59 Fields

465 Statistics (62-XX)
422 Quantum theory (81-XX)
421 Information and communication theory, circuits (94-XX)
330 Statistical mechanics, structure of matter (82-XX)
290 Relativity and gravitational theory (83-XX)
208 Partial differential equations (35-XX)
198 Ordinary differential equations (34-XX)
186 Classical thermodynamics, heat transfer (80-XX)
182 Biology and other natural sciences (92-XX)
176 Probability theory and stochastic processes (60-XX)
161 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
157 Dynamical systems and ergodic theory (37-XX)
152 Computer science (68-XX)
133 Fluid mechanics (76-XX)
131 Differential geometry (53-XX)
129 Real functions (26-XX)
125 Numerical analysis (65-XX)
84 Systems theory; control (93-XX)
64 Operations research, mathematical programming (90-XX)
59 Operator theory (47-XX)
51 Combinatorics (05-XX)
46 Mechanics of deformable solids (74-XX)
45 Mechanics of particles and systems (70-XX)
34 Geophysics (86-XX)
33 Astronomy and astrophysics (85-XX)
31 Mathematical logic and foundations (03-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
29 Functional analysis (46-XX)
25 Measure and integration (28-XX)
23 Optics, electromagnetic theory (78-XX)
22 Calculus of variations and optimal control; optimization (49-XX)
21 Integral equations (45-XX)
19 Integral transforms, operational calculus (44-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 Special functions (33-XX)
15 Topological groups, Lie groups (22-XX)
14 Algebraic geometry (14-XX)
14 Group theory and generalizations (20-XX)
13 Nonassociative rings and algebras (17-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
12 General and overarching topics; collections (00-XX)
12 Approximations and expansions (41-XX)
12 General topology (54-XX)
11 Difference and functional equations (39-XX)
11 Geometry (51-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Convex and discrete geometry (52-XX)
7 Category theory; homological algebra (18-XX)
6 Functions of a complex variable (30-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
4 History and biography (01-XX)
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4 Sequences, series, summability (40-XX)
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2 Associative rings and algebras (16-XX)
2 Mathematics education (97-XX)
1 Commutative algebra (13-XX)
1 Abstract harmonic analysis (43-XX)
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