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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: 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 Ferri, Gustavo L.
4 Gzyl, Henryk
4 Hidouri, Nejib
4 Iñiguez, José C.
4 Isaacson, LaVar King
4 Magherbi, Mourad
4 Makinde, Oluwole Daniel
4 Mittelhammer, Ron C.
4 Naudts, Jan
4 Pennini, Flavia
4 Pistone, Giovanni
4 Sang, Yan-Fang
4 Shieh, Jiann-Shing
3 Bellucci, Stefano
3 Ben Brahim, Ammar
3 Bouabid, Mounir
3 Broadbridge, Philip
3 Cichocki, Andrzej
3 Dai, Bin
3 de Grange, Louis
3 Hou, Guolian
3 Ibrahim, Rabha Waell
3 Judge, George G.
3 Juretić, Davor
3 Komori, Osamu
3 Kowalski, Andres M.
3 Kuić, Domagoj
3 Liu, Quan
3 Luo, Yuan
3 Marsh, Thomas L.
3 Müller, Ingo
3 Ohara, Atsumi
3 Olivares, Felipe
3 Quarati, Piero
3 Ren, Mifeng
3 Scarfone, Antonio Maria
3 Schlatter, Andreas E.
3 Schulman, Lawrence S.
3 Shalyt-Margolin, Alexander E.
3 Wada, Tatsuaki
3 Wei, Qin
3 Wu, Jichun
3 Zhang, Jianhua
3 Zhou, Xiaobing
3 Županović, Paško
2 Abdullah, Shahrir
2 Al-Nimr, Mohammad Ahmad
2 Amigó, José María
2 Arnaud, Jacques
2 Baeten, Maarten
2 Balaji, Bhashyam
2 Băleanu, Dumitru I.
2 Balian, Roger
2 Barranco-Jiménez, Marco A.
2 Beretta, Gian Paolo
2 Berthoumieu, Yannick
2 Brevik, Iver Håkon
2 Bulut, Hasan
2 Burgin, Mark
2 Cafaro, Carlo
2 Cai, Xiaomei
2 Cardell, Nicholas Scott
2 Cerra, Daniele
2 Chan, Terence H.
2 Chen, Borsen
2 Chen, Zengqiang
2 Cho, Youngseuk
2 Chusseau, Laurent
2 Crompton, Peter R.
2 Datcu, Mihai
2 Dedeo, Simon
2 Descombes, Georges
2 Dodig-Crnkovic, Gordana
2 Dong, Yuxiang
2 Donoso, Pedro
2 El-Bakkali, Amin
2 Essex, Christopher
2 Fan, Shou-Zen
2 Faugeras, Olivier D.
2 Favretti, Marco
2 Feixas, Miquel
2 Flego, Silvana
2 Fontana, Nicola
2 Giménez, Angel
2 Golan, Amos
2 González, Felipe A.
2 Gorban, Alexander N.
2 Gough, Michael Paul
2 Grmela, Miroslav
2 Grøn, Øyvind Geelmuyden
...and 1,160 more Authors
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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

445 Publications have been cited 2,080 times in 1,799 Documents Cited by Year
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
Atangana, Abdon; Alkahtani, Badr Saad T.
80
2015
New results on fractional power series: theories and applications. Zbl 1337.26010
El-Ajou, Ahmad; Arqub, Omar Abu; Zhour, Zeyad Al; Momani, Shaher
54
2013
Families of alpha-, beta- and gamma-divergences: flexible and robust measures of similarities. Zbl 1229.94030
Cichocki, Andrzej; Amari, Shun-Ichi
49
2010
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
42
2015
Axiomatic characterizations of information measures. Zbl 1179.94043
Csiszár, Imre
39
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
35
2015
Permutation entropy and its main biomedical and econophysics applications: a review. Zbl 1314.94033
Zanin, Massimiliano; Zunino, Luciano; Rosso, Osvaldo A.; Papo, David
31
2012
Generalised exponential families and associated entropy functions. Zbl 1179.94048
Naudts, Jan
25
2008
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
25
2012
State operator correspondence and entanglement in \(\mathrm{ADS}_2/\mathrm{CFT}_1\). Zbl 1296.83046
Sen, Ashoke
24
2011
Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039
Sheng, Yu-Bo; Zhou, Lan
23
2013
Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter
22
2014
Evidence and credibility: Full Bayesian signifiance test for precise hypotheses. Zbl 0993.62028
de Bragança Pereira, Carlos Alberto; Stern, Julio Michael
20
1999
Geometry of \(q\)-exponential family of probability distributions. Zbl 1306.62073
Amari, Shun-Ichi; Ohara, Atsumi
20
2011
Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122
Kosloff, Ronnie
20
2013
Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan
18
2013
\(stu\) black holes unveiled. Zbl 1179.83049
Bellucci, Stefano; Ferrara, Sergio; Marrani, Alessio; Yeranyan, Armen
17
2008
Maximum entropy fundamentals. Zbl 1006.94007
Harremoeës, P.; Topsøe, F.
16
2001
Applications of entropy in finance: a review. Zbl 1422.91673
Zhou, Rongxi; Cai, Ru; Tong, Guanqun
16
2013
Entropy: the Markov ordering approach. Zbl 1229.60085
Gorban, Alexander N.; Gorban, Pavel A.; Judge, George
16
2010
Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056
Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard
15
2015
A characterization of entropy in terms of information loss. Zbl 1301.94043
Baez, John C.; Fritz, Tobias; Leinster, Tom
15
2011
Tsallis relative entropy and anomalous diffusion. Zbl 1331.82006
Prehl, Janett; Essex, Christopher; Hoffmann, Karl Heinz
15
2012
Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392
Kaniadakis, Giorgio
14
2013
A note on distance-based graph entropies. Zbl 1412.94134
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang
13
2014
From \(f\)-divergence to quantum quasi-entropies and their use. Zbl 1229.81054
Petz, Dénes
13
2010
Entanglement entropy of AdS black holes. Zbl 1229.83045
Cadoni, Mariano; Melis, Maurizio
13
2010
Effective conformal descriptions of black hole entropy. Zbl 1296.83034
Carlip, Steven
13
2011
The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. Zbl 1301.82004
Tsallis, Constantino
13
2011
Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036
Iliyasu, Abdullah M.
12
2013
Shannon’s sampling theorem for bandlimited signals and their Hilbert transform, Boas-type formulae for higher order derivatives – the aliasing error involved by their extensions from bandlimited to non-bandlimited signals. Zbl 1314.94034
Butzer, Paul L.; Schmeisser, Gerhard; Stens, Rudolf L.
12
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
12
2013
Bell-Boole inequality: nonlocality or probabilistic incompatibility of random variables? Zbl 1179.94047
Khrennikov, Andrei
11
2008
Deformed exponentials and applications to finance. Zbl 1422.91725
Trivellato, Barbara
11
2013
Parametric Bayesian estimation of differential entropy and relative entropy. Zbl 1229.62030
Gupta, Maya; Srivastava, Santosh
11
2010
Using quantum computers for quantum simulation. Zbl 1229.81062
Brown, Katherine L.; Munro, William J.; Kendon, Vivien M.
11
2010
Projective power entropy and maximum Tsallis entropy distributions. Zbl 1301.82002
Eguchi, Shinto; Komori, Osamu; Kato, Shogo
11
2011
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
11
2012
Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016
Ibrahim, Rabha W.; Jalab, Hamid A.
10
2015
Black hole entropy in scalar-tensor and \(f(R)\) gravity: an overview. Zbl 1229.83048
Faraoni, Valerio
10
2010
On the measure entropy of additive cellular automata \(f_\infty\). Zbl 1062.37005
Akın, Hasan
10
2003
Entropy and the complexity of graphs revisited. Zbl 1331.94041
Mowshowitz, Abbe; Dehmer, Matthias
10
2012
On the linear combination of exponential and gamma random variables. Zbl 1135.62307
Nadarajah, Saralees; Kotz, Samuel
9
2005
Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028
Barbaresco, Frédéric
9
2014
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
The entropy of progressively censored samples. Zbl 1229.62134
Abo-Eleneen, Z. A.
9
2011
Interval entropy and informative distance. Zbl 1306.62214
Misagh, Fakhroddin; Yari, Gholamhossein
9
2012
The relation between Granger causality and directed information theory: a review. Zbl 06346067
Amblard, Pierre-Olivier; Michel, Olivier J. J.
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
The meanings of entropy. Zbl 1135.94313
Brissaud, Jean-Bernard
8
2005
The role of Hellinger processes in mathematical finance. Zbl 1015.91030
Choulli, T.; Hurd, T. R.
8
2001
Basic concepts, identities and inequalities – the toolkit of information theory. Zbl 1006.94012
Topsøe, F.
8
2001
Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008
Landes, Jürgen; Williamson, Jon
8
2013
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
8
2013
Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095
Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M.
8
2013
Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034
Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi
8
2015
Sub-quantum thermodynamics as a basis of emergent quantum mechanics. Zbl 1229.82133
Grössing, Gerhard
8
2010
On the microscopic perspective of black branes thermodynamic geometry. Zbl 1229.83043
Bellucci, Stefano; Tiwari, Bhupendra Nath
8
2010
All in action. Zbl 1229.82006
Annila, Arto
8
2010
Mean-variance-skewness-entropy measures: a multi-objective approach for portfolio selection. Zbl 1229.90287
Usta, Ilhan; Kantar, Yeliz Mert
8
2011
The Michaelis-Menten-Stueckelberg theorem. Zbl 1303.92152
Gorban, Alexander N.; Shahzad, Muhammad
8
2011
A philosophical treatise of universal induction. Zbl 1296.03007
Rathmanner, Samuel; Hutter, Marcus
8
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.
8
2011
Kullback-Leibler divergence measure for multivariate skew-normal distributions. Zbl 1306.62040
Contreras-Reyes, Javier E.; Arellano-Valle, Reinaldo B.
8
2012
Cosmology of \(F(T)\) gravity and k-essence. Zbl 1297.83056
Myrzakulov, Ratbay
8
2012
Quantum theory, namely the pure and reversible theory of information. Zbl 1296.81017
Chiribella, Giulio; D’Ariano, Giacomo Mauro; Perinotti, Paolo
8
2012
Estimating the entropy of binary time series: methodology, some theory and a simulation study. Zbl 1179.94045
Gao, Yun; Kontoyiannis, Ioannis; Bienenstock, Elie
7
2008
Properties of the statistical complexity functional and partially deterministic HMMs. Zbl 1179.82099
Löhr, Wolfgang
7
2009
Additive cellular automata and volume growth. Zbl 0999.68130
Ward, Thomas B.
7
2000
Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153
Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees
7
2013
Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387
Unakafova, Valentina A.; Keller, Karsten
7
2013
Information geometry on complexity and stochastic interaction. Zbl 1338.94032
Ay, Nihat
7
2015
Entropy of weighted graphs with Randić weights. Zbl 1338.05266
Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang
7
2015
Unconditionally secure quantum signatures. Zbl 1338.81158
Amiri, Ryan; Andersson, Erika
7
2015
Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104
Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano
7
2015
Thermal BEC black holes. Zbl 1338.83101
Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio
7
2015
Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018
Livingstone, Samuel; Girolami, Mark
7
2014
The entropy-based quantum metric. Zbl 1338.81096
Balian, Roger
7
2014
Entropy and divergence associated with power function and the statistical application. Zbl 1229.82010
Eguchi, Shinto; Kato, Shogo
7
2010
Entropy-related extremum principles for model reduction of dissipative dynamical systems. Zbl 1229.37019
Lebiedz, Dirk
7
2010
Static isolated horizons: \(SU(2)\) invariant phase space, quantization, and black hole entropy. Zbl 1229.83053
Perez, Alejandro; Pranzetti, Daniele
7
2011
Chirality and symmetry measures: a transdisciplinary review. Zbl 1078.00503
Petitjean, Michel
7
2003
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
7
2011
Second law analysis for variable viscosity hydromagnetic boundary layer flow with thermal radiation and Newtonian heating. Zbl 1446.76181
Makinde, Oluwole Daniel
7
2011
Thermodynamics of thermoelectric phenomena and applications. Zbl 1307.80004
Goupil, Christophe; Seifert, Wolfgang; Zabrocki, Knud; Müller, Eckhart; Snyder, G. Jeffrey
7
2011
Entropic forms and related algebras. Zbl 1305.82011
Scarfone, Antonio Maria
7
2013
Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001
Martyushev, Leonid M.
7
2013
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
6
2007
Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062
Zhang, Jun
6
2013
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
6
2015
Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091
Wang, Linjun; Chen, Xumei
6
2015
Optimal multi-level thresholding based on maximum Tsallis entropy via an artificial bee colony approach. Zbl 1229.94013
Zhang, Yudong; Wu, Lenan
6
2011
Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126
Zhao, Meichun; Wang, Junwei
6
2013
Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062
Zhou, Shengxi; Cao, Junyi; Chen, Yangquan
6
2013
An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052
Li, Junli; He, Zongyi; Zhu, Qiaoli
6
2013
Entropy diagnostics for fourth order partial differential equations in conservation form. Zbl 1179.35164
Broadbridge, Phil
5
2008
Entropy and energy, - a universal competition. Zbl 1179.80008
Müller, Ingo
5
2008
Entropy and uncertainty. Zbl 1179.94051
Robinson, Derek W.
5
2008
Thermodynamics of the system of distinguishable particles. Zbl 1179.82009
Cheng, Chi-Ho
5
2009
Analysis of the Keller-Segel model with a fractional derivative without singular kernel. Zbl 1338.35458
Atangana, Abdon; Alkahtani, Badr Saad T.
80
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
42
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
35
2015
Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions. Zbl 1338.53056
Vîlcu, Alina-Daniela; Vîlcu, Gabriel-Eduard
15
2015
Existence of Ulam stability for iterative fractional differential equations based on fractional entropy. Zbl 1338.34016
Ibrahim, Rabha W.; Jalab, Hamid A.
10
2015
Log-determinant divergences revisited: alpha-beta and gamma log-det divergences. Zbl 1338.94034
Cichocki, Andrzej; Cruces, Sergio; Amari, Shun-ichi
8
2015
Information geometry on complexity and stochastic interaction. Zbl 1338.94032
Ay, Nihat
7
2015
Entropy of weighted graphs with Randić weights. Zbl 1338.05266
Chen, Zengqiang; Dehmer, Matthias; Emmert-Streib, Frank; Shi, Yongtang
7
2015
Unconditionally secure quantum signatures. Zbl 1338.81158
Amiri, Ryan; Andersson, Erika
7
2015
Scale-invariant rotating black holes in quadratic gravity. Zbl 1338.83104
Cognola, Guido; Rinaldi, Massimiliano; Vanzo, Luciano
7
2015
Thermal BEC black holes. Zbl 1338.83101
Casadio, Roberto; Giugno, Andrea; Micu, Octavian; Orlandi, Alessio
7
2015
Information geometry formalism for the spatially homogeneous Boltzmann equation. Zbl 1338.94044
Lods, Bertrand; Pistone, Giovanni
6
2015
Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method. Zbl 1338.35091
Wang, Linjun; Chen, Xumei
6
2015
Natural gradient flow in the mixture geometry of a discrete exponential family. Zbl 1338.94030
Malagò, Luigi; Pistone, Giovanni
5
2015
Distributing secret keys with quantum continuous variables: principle, security and implementations. Zbl 1338.81160
Diamanti, Eleni; Leverrier, Anthony
5
2015
On the exact solution of wave equations on Cantor sets. Zbl 1338.35459
Baleanu, Dumitru; Khan, Hasib; Jafari, Hossien; Khan, Rahmat Ali
5
2015
Geometry of multiscale nonequilibrium thermodynamcis. Zbl 1338.80005
Grmela, Miroslav
4
2015
A foundational approach to generalising the maximum entropy inference process to the multi-agent context. Zbl 1338.62026
Wilmers, George
4
2015
Proportionate minimum error entropy algorithm for sparse system identification. Zbl 1338.94049
Wu, Zongze; Peng, Siyuan; Chen, Badong; Zhao, Haiquan; Principe, Jose C.
3
2015
Generalized boundary conditions for the time-fractional advection diffusion equation. Zbl 1338.35476
Povstenko, Yuriy
3
2015
New hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics. Zbl 1338.35089
Baskonus, Haci Mehmet; Bulut, Hasan
3
2015
Dualistic Hessian structures among the thermodynamic potentials in the \(\kappa\)-thermostatistics. Zbl 1338.80006
Wada, Tatsuaki; Matsuzoe, Hiroshi; Scarfone, Antonio M.
3
2015
Black-box optimization using geodesics in statistical manifolds. Zbl 1338.94029
Bensadon, Jérémy
3
2015
The Hosoya entropy of a graph. Zbl 1338.05267
Mowshowitz, Abbe; Dehmer, Matthias
3
2015
Deformed algebras and generalizations of independence on deformed exponential families. Zbl 1338.94045
Matsuzoe, Hiroshi; Wada, Tatsuaki
2
2015
Entropies from coarse-graining: convex polytopes vs. ellipsoids. Zbl 1338.94041
Kalogeropoulos, Nikos
2
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
Generalized stochastic Fokker-Planck equations. Zbl 1338.60154
Chavanis, Pierre-Henri
2
2015
New exact solutions of the new Hamiltonian amplitude equation and Fokas-Lenells equation. Zbl 1338.35090
Tuluce Demiray, Seyma; Bulut, Hasan
2
2015
Conformal gauge transformations in thermodynamics. Zbl 1338.80004
Bravetti, Alessandro; Lopez-Monsalvo, Cesar S.; Nettel, Francisco
2
2015
Metrics and energy landscapes in irreversible thermodynamics. Zbl 1338.80003
Andresen, Bjarne
2
2015
Thermodynamic metrics and black hole physics. Zbl 1338.83092
Åman, Jan E.; Bengtsson, Ingemar; Pidokrajt, Narit
2
2015
Robust \(H_\infty\) finite-time control for discrete Markovian jump systems with disturbances of probabilistic distributions. Zbl 1338.93340
Chen, Haiyang; Liu, Meiqin; Zhang, Senlin
2
2015
Do transitive preferences always result in indifferent divisions? Zbl 1338.91069
Makowski, Marcin; Piotrowski, Edward W.; Sładkowski, Jan
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
On the \(\kappa\)-deformed cyclic functions and the generalized Fourier series in the framework of the \(\kappa\)-algebra. Zbl 1338.43004
Scarfone, Antonio Maria
1
2015
Brownian motion in Minkowski space. Zbl 1338.60204
O’Hara, Paul; Rondoni, Lamberto
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
Entropy principle and recent results in non-equilibrium theories. Zbl 1338.82034
Cimmelli, Vito Antonio; Jou, David; Ruggeri, Tommaso; Ván, Péter
22
2014
A note on distance-based graph entropies. Zbl 1412.94134
Chen, Zengqiang; Dehmer, Matthias; Shi, Yongtang
13
2014
Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics. Zbl 1338.94028
Barbaresco, Frédéric
9
2014
Information-geometric Markov chain Monte Carlo methods using diffusions. Zbl 1338.65018
Livingstone, Samuel; Girolami, Mark
7
2014
The entropy-based quantum metric. Zbl 1338.81096
Balian, Roger
7
2014
On the connections of generalized entropies with Shannon and Kolmogorov-Sinai entropies. Zbl 1338.94036
Falniowski, Fryderyk
5
2014
Combinatorial optimization with information geometry: the Newton method. Zbl 1338.90348
Malagò, Luigi; Pistone, Giovanni
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
Existence of entropy solutions for nonsymmetric fractional systems. Zbl 1338.35469
Ibrahim, Rabha W.; Jalab, Hamid A.
4
2014
Density reconstructions with errors in the data. Zbl 1338.62104
Gomes-Gonçalves, Erika; Gzyl, Henryk; Mayoral, Silvia
4
2014
\(F\)-geometry and Amari’s \(\alpha\)-geometry on a statistical manifold. Zbl 1338.62069
Harsha, K. V.; Subrahamanian Moosath, K. S.
3
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
3
2014
Information anatomy of stochastic equilibria. Zbl 1338.60209
Marzen, Sarah; Crutchfield, James P.
3
2014
Chaos control and synchronization of a hyperchaotic zhou system by integral sliding mode control. Zbl 1338.34114
Toopchi, Yashar; Wang, Jidong
3
2014
Markov state models for rare events in molecular dynamics. Zbl 1338.82038
Sarich, Marco; Banisch, Ralf; Hartmann, Carsten; Schütte, Christof
3
2014
Adaptive switched generalized function projective synchronization between two hyperchaotic systems with unknown parameters. Zbl 1338.34115
Zhou, Xiaobing; Xiong, Lianglin; Cai, Xiaomei
3
2014
Entropy evolution and uncertainty estimation with dynamical systems. Zbl 1338.37013
Liang, X. San
2
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
Generalized maximum entropy analysis of the linear simultaneous equations model. Zbl 1338.62066
Marsh, Thomas L.; Mittelhammer, Ron; Cardell, Nicholas Scott
2
2014
On the Fisher metric of conditional probability polytopes. Zbl 1338.62070
Montúfar, Guido; Rauh, Johannes; Ay, Nihat
2
2014
New Riemannian priors on the univariate normal model. Zbl 1341.62095
Said, Salem; Bombrun, Lionel; Berthoumieu, Yannick
2
2014
Variational Bayes for regime-switching log-normal models. Zbl 1338.62027
Zhao, Hui; Marriott, Paul
1
2014
Information-theoretic bounded rationality and \(\epsilon\)-optimality. Zbl 1338.91050
Braun, Daniel A.; Ortega, Pedro A.
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
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
Matrix algebraic properties of the Fisher information matrix of stationary processes. Zbl 1338.60108
Klein, André
1
2014
On clustering histograms with \(k\)-means by using mixed \(\alpha\)-divergences. Zbl 1341.62186
Nielsen, Frank; Nock, Richard; Amari, Shun-ichi
1
2014
A maximum entropy method for a robust portfolio problem. Zbl 1338.91138
Xu, Yingying; Wu, Zhuwu; Jiang, Long; Song, Xuefeng
1
2014
Duality of maximum entropy and minimum divergence. Zbl 1338.62021
Eguchi, Shinto; Komori, Osamu; Ohara, Atsumi
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
54
2013
Quantum entanglement concentration based on nonlinear optics for quantum communications. Zbl 1297.81039
Sheng, Yu-Bo; Zhou, Lan
23
2013
Quantum thermodynamics: a dynamical viewpoint. Zbl 1297.81122
Kosloff, Ronnie
20
2013
Synchronization of a class of fractional-order chaotic neural networks. Zbl 1339.34060
Chen, Liping; Qu, Jianfeng; Chai, Yi; Wu, Ranchao; Qi, Guoyuan
18
2013
Applications of entropy in finance: a review. Zbl 1422.91673
Zhou, Rongxi; Cai, Ru; Tong, Guanqun
16
2013
Theoretical foundations and mathematical formalism of the power-law tailed statistical distributions. Zbl 06578392
Kaniadakis, Giorgio
14
2013
Towards realising secure and efficient image and video processing applications on quantum computers. Zbl 1337.81036
Iliyasu, Abdullah M.
12
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
12
2013
Deformed exponentials and applications to finance. Zbl 1422.91725
Trivellato, Barbara
11
2013
The relation between Granger causality and directed information theory: a review. Zbl 06346067
Amblard, Pierre-Olivier; Michel, Olivier J. J.
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
Objective Bayesianism and the maximum entropy principle. Zbl 1335.62008
Landes, Jürgen; Williamson, Jon
8
2013
Examples of the application of nonparametric information geometry to statistical physics. Zbl 1346.35144
Pistone, Giovanni
8
2013
Dynamics of instantaneous condensation in the ZRP conditioned on an atypical current. Zbl 1342.82095
Harris, Rosemary J.; Popkov, Vladislav; Schütz, Gunter M.
8
2013
Simulation study of direct causality measures in multivariate time series. Zbl 1336.62153
Papana, Angeliki; Kyrtsou, Catherine; Kugiumtzis, Dimitris; Diks, Cees
7
2013
Efficiently measuring complexity on the basis of real-world data. Zbl 1359.62387
Unakafova, Valentina A.; Keller, Karsten
7
2013
Entropic forms and related algebras. Zbl 1305.82011
Scarfone, Antonio Maria
7
2013
Entropy and entropy production: old misconceptions and new breakthroughs. Zbl 1305.80001
Martyushev, Leonid M.
7
2013
Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds. Zbl 1338.53062
Zhang, Jun
6
2013
Outer synchronization between fractional-order complex networks: a non-fragile observer-based control scheme. Zbl 1297.93126
Zhao, Meichun; Wang, Junwei
6
2013
Genetic algorithm-based identification of fractional-order systems. Zbl 1297.93062
Zhou, Shengxi; Cao, Junyi; Chen, Yangquan
6
2013
An entropy-based weighted concept lattice for merging multi-source geo-ontologies. Zbl 1325.94052
Li, Junli; He, Zongyi; Zhu, Qiaoli
6
2013
Fact-checking Ziegler’s maximum entropy production principle beyond the linear regime and towards steady states. Zbl 1341.82058
Polettini, Matteo
5
2013
On the entropy of a two step random Fibonacci substitution. Zbl 1357.68154
Nilsson, Johan
5
2013
Analysis and visualization of seismic data using mutual information. Zbl 1335.86006
Machado, José A. Tenreiro; Lopes, António M.
5
2013
On a generalized entropy measure leading to the pathway model with a preliminary application to solar neutrino data. Zbl 1391.94587
Mathai, Arak M.; Haubold, Hans J.
5
2013
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Cited by 3,212 Authors

36 Băleanu, Dumitru I.
13 Alquran, Marwan Taiseer
13 Gómez-Aguilar, José Francisco
13 Shang, Pengjian
11 Atangana, Abdon
11 Oikonomou, Vasilis K.
10 Dehmer, Matthias
10 Ibrahim, Rabha Waell
10 Odintsov, Sergei D.
9 Akin, Hasan
9 Bellucci, Stefano
9 Cimmelli, Vito Antonio
9 Machado, José António Tenreiro
9 Sheng, Yu-Bo
9 Tiwari, Bhupendra Nath
9 Zhou, Lan
8 Ahmadian, Ali
8 Arqub, Omar Abu
8 Lucia, Umberto
8 Momani, Shaher M.
8 Pennisi, Sebastiano
8 Pistone, Giovanni
8 Rezapour, Shahram
8 Salahshour, Soheil
7 Eguchi, Shinto
7 El-Ajou, Ahmad
7 Jaradat, Imad
7 Khan, Ilyas
7 Kumar, Devendra
7 Lopes, António M.
7 Myrzakulov, Ratbay
7 Nechita, Ion
6 Amigó, José María
6 Baskonus, Haci Mehmet
6 Capozziello, Salvatore
6 Carrisi, Maria Cristina
6 Collins, Benoît
6 Emmert-Streib, Frank
6 Escobar-Jiménez, Ricardo Fabricio
6 Gorban, Alexander N.
6 Inc, Mustafa
6 Khrennikov, Andreĭ Yur’evich
6 Makinde, Oluwole Daniel
6 Marrani, Alessio
6 Naudts, Jan
6 Ohara, Atsumi
6 Prakasha, Doddabhadrappla Gowda
6 Rastëgin, Alekseĭ Èduardovich
6 Rosso, Osvaldo A.
6 Shalyt-Margolin, Alexander E.
6 Singh, Jagdev
6 Veeresha, Pundikala
6 Wada, Tatsuaki
6 Yépez-Martínez, Huitzilin
5 Adesanya, Samuel Olumide
5 Al-Smadi, Mohammed H.
5 Al-saedi, Ahmed Eid Salem
5 Barbaresco, Frédéric
5 Cafaro, Carlo
5 Cao, Jinde
5 Chang, Chih-Hung
5 Crutchfield, James P.
5 Ferrara, Sergio
5 Friston, Karl J.
5 Fukuda, Motohisa
5 Hidouri, Nejib
5 Hutter, Marcus
5 Iliyasu, Abdullah M.
5 Keller, Karsten
5 Landes, Jürgen
5 Marcolli, Matilde
5 Nashed, Gamal G. L.
5 Rogolino, Patrizia
5 Saad, Khaled Mohammed
5 Sugiyama, Masashi
5 Tempesta, Piergiulio
5 Yan, Fei
5 Yeranyan, Armen
5 Zhou, Rigui
4 Alkahtani, Badr Saad T.
4 Amari, Shun-ichi
4 Ben Brahim, Ammar
4 Butzer, Paul Leo
4 Cánovas, Jose S.
4 de Grange, Louis
4 De Laurentis, Mariafelicia F.
4 Deng, Fu-Guo
4 Donner, Reik V.
4 Dzhafarov, Ehtibar N.
4 Ebrahimzadeh, Abolfazl
4 Fan, Ping
4 Fujisawa, Hironori
4 Gao, Wei
4 Giusti, Andrea
4 González, Felipe A.
4 Gzyl, Henryk
4 Hammouch, Zakia
4 Hu, Wenwen
4 Kayal, Suchandan
4 Komori, Osamu
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Cited in 398 Journals

166 Entropy
59 Physica A
56 Chaos, Solitons and Fractals
47 International Journal of Theoretical Physics
44 Journal of High Energy Physics
37 Quantum Information Processing
34 Chaos
34 Advances in Difference Equations
27 Journal of Mathematical Physics
27 Foundations of Physics
26 Applied Mathematics and Computation
23 International Journal of Geometric Methods in Modern Physics
21 General Relativity and Gravitation
20 Journal of Statistical Physics
20 Physics Letters. A
19 Communications in Nonlinear Science and Numerical Simulation
18 Classical and Quantum Gravity
18 New Journal of Physics
17 Mathematical Problems in Engineering
14 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
14 Information Geometry
13 Neural Computation
13 Applied Mathematical Modelling
13 Advances in High Energy Physics
12 Information Sciences
12 Advances in Mathematical Physics
11 Modern Physics Letters A
11 Nuclear Physics. B
11 Journal of Computational and Applied Mathematics
11 Complexity
11 AIMS Mathematics
10 Communications in Statistics. Theory and Methods
10 International Journal of Modern Physics D
10 Nonlinear Dynamics
10 Journal of Statistical Mechanics: Theory and Experiment
9 Computers & Mathematics with Applications
9 Annals of Physics
9 Open Systems & Information Dynamics
9 Discrete Dynamics in Nature and Society
9 Journal of Physics A: Mathematical and Theoretical
9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
8 Insurance Mathematics & Economics
8 Statistics & Probability Letters
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Symmetry
7 International Journal of Modern Physics A
7 Acta Mechanica
7 Journal of the Franklin Institute
7 Reports on Mathematical Physics
7 Theoretical Computer Science
7 Physica D
7 Machine Learning
7 European Journal of Operational Research
7 Continuum Mechanics and Thermodynamics
7 Journal of Mathematical Chemistry
7 International Journal of Applied and Computational Mathematics
6 Physics Letters. B
6 Fuzzy Sets and Systems
6 Journal of Mathematical Psychology
6 Computational and Applied Mathematics
6 Fractals
6 Bernoulli
6 Fractional Calculus & Applied Analysis
6 Discrete and Continuous Dynamical Systems. Series B
6 Mediterranean Journal of Mathematics
6 Mathematical Biosciences and Engineering
6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
6 Axioms
6 Journal of Function Spaces
5 Biological Cybernetics
5 Communications in Mathematical Physics
5 Physics Reports
5 Bulletin of Mathematical Biology
5 Journal of Multivariate Analysis
5 Computational Statistics
5 Statistical Papers
5 International Journal of Nonlinear Sciences and Numerical Simulation
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 Automatica
4 Kybernetika
4 Mathematics and Computers in Simulation
4 Applied Mathematics and Mechanics. (English Edition)
4 Acta Applicandae Mathematicae
4 Information and Computation
4 International Journal of Approximate Reasoning
4 Neural Networks
4 Linear Algebra and its Applications
4 Computational Statistics and Data Analysis
4 Journal of Inequalities and Applications
4 Combustion Theory and Modelling
4 Brazilian Journal of Probability and Statistics
4 Journal of Cosmology and Astroparticle Physics
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Cited in 59 Fields

350 Statistics (62-XX)
333 Information and communication theory, circuits (94-XX)
307 Quantum theory (81-XX)
219 Statistical mechanics, structure of matter (82-XX)
208 Relativity and gravitational theory (83-XX)
162 Partial differential equations (35-XX)
154 Ordinary differential equations (34-XX)
152 Classical thermodynamics, heat transfer (80-XX)
143 Biology and other natural sciences (92-XX)
136 Computer science (68-XX)
125 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
122 Probability theory and stochastic processes (60-XX)
121 Dynamical systems and ergodic theory (37-XX)
110 Fluid mechanics (76-XX)
99 Real functions (26-XX)
95 Differential geometry (53-XX)
92 Numerical analysis (65-XX)
65 Systems theory; control (93-XX)
53 Operations research, mathematical programming (90-XX)
45 Operator theory (47-XX)
36 Combinatorics (05-XX)
32 Mechanics of deformable solids (74-XX)
28 Mechanics of particles and systems (70-XX)
28 Geophysics (86-XX)
26 Mathematical logic and foundations (03-XX)
26 Astronomy and astrophysics (85-XX)
24 Linear and multilinear algebra; matrix theory (15-XX)
21 Functional analysis (46-XX)
18 Measure and integration (28-XX)
18 Optics, electromagnetic theory (78-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
17 Global analysis, analysis on manifolds (58-XX)
16 Integral equations (45-XX)
13 Special functions (33-XX)
13 Integral transforms, operational calculus (44-XX)
12 Group theory and generalizations (20-XX)
11 Difference and functional equations (39-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 General and overarching topics; collections (00-XX)
10 Nonassociative rings and algebras (17-XX)
10 Approximations and expansions (41-XX)
10 Geometry (51-XX)
10 General topology (54-XX)
8 Topological groups, Lie groups (22-XX)
7 Algebraic geometry (14-XX)
7 Convex and discrete geometry (52-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
5 Functions of a complex variable (30-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Number theory (11-XX)
4 Sequences, series, summability (40-XX)
3 Associative rings and algebras (16-XX)
3 Mathematics education (97-XX)
2 History and biography (01-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Abstract harmonic analysis (43-XX)
1 Manifolds and cell complexes (57-XX)

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