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Sokolov, Igor’ Mikhaĭlovich

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Author ID: sokolov.igor-mikhailovich Recent zbMATH articles by "Sokolov, Igor’ Mikhaĭlovich"
Published as: Sokolov, I. M.; Sokolov, Igor M.; Sokolov, Igor’ Mikhaĭlovich; Sokolov, Igor; Sokolov, I.
Documents Indexed: 48 Publications since 1993, including 3 Books

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 487 times in 425 Documents Cited by Year
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
Sokolov, I. M.; Klafter, J.
115
2005
Distributed order time fractional diffusion equation. Zbl 1089.60046
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.; Gonchar, V. Yu.
81
2003
Fractional diffusion in inhomogeneous media. Zbl 1082.76097
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.
74
2005
First steps in random walks. From tools to applications. Zbl 1242.60046
Klafter, J.; Sokolov, I. M.
62
2011
Percolation on heterogeneous networks as a model for epidemics. Zbl 1015.92035
Sander, L. M.; Warren, C. P.; Sokolov, I. M.; Simon, C.; Koopman, J.
20
2002
SIS epidemics with household structure: the self-consistent field method. Zbl 1048.92029
Ghoshal, G.; Sander, L. M.; Sokolov, I. M.
17
2004
Linear response in complex systems: CTRW and the fractional Fokker-Planck equations. Zbl 0983.60040
Sokolov, I. M.; Blumen, A.; Klafter, J.
13
2001
Statistics of two-particle dispersion in two-dimensional turbulence. Zbl 1185.76059
Boffetta, G.; Sokolov, I. M.
11
2002
Codifference as a practical tool to measure interdependence. Zbl 1395.62286
Wyłomańska, Agnieszka; Chechkin, Aleksei; Gajda, Janusz; Sokolov, Igor M.
10
2015
Statistical thermodynamics and stochastic theory of nonequilibrium systems. Zbl 1142.82001
Ebeling, Werner; Sokolov, Igor M.
10
2005
Beyond monofractional kinetics. Zbl 1374.45016
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei
9
2017
First steps in random walks. From tools to applications. Reprint of the 2011 hardback edition. Zbl 1328.60001
Klafter, J.; Sokolov, I. M.
8
2015
Non-uniqueness of the first passage time density of Lévy random processes. Zbl 1071.60033
Sokolov, Igor M.; Metzler, Ralf
8
2004
Natural and modified forms of distributed-order fractional diffusion equations. Zbl 1297.35267
Chechkin, Aleksei; Sokolov, Igor M.; Klafter, Joseph
8
2012
Epidemics, disorder, and percolation. Zbl 1022.92037
Sander, L. M.; Warren, C. P.; Sokolov, I. M.
6
2003
Relaxation to stationary states for anomalous diffusion. Zbl 1323.76109
Dybiec, Bartłomiej; Sokolov, Igor M.; Chechkin, Aleksei V.
4
2011
The matchmaking paradox: a statistical explanation. Zbl 1185.91140
Eliazar, Iddo I.; Sokolov, Igor M.
4
2010
Editorial: ecological complex systems. Zbl 1188.92001
Provata, Astero (ed.); Sokolov, Igor M. (ed.); Spagnolo, Bernardo (ed.)
3
2008
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit. Zbl 1267.82112
Chechkin, A. V.; Zaid, I. M.; Lomholt, M. A.; Sokolov, I. M.; Metzler, R.
3
2013
Optimal foraging by zooplankton within patches: The case of \(Daphnia\). Zbl 1119.92068
Garcia, Ricardo; Moss, Frank; Nihongi, Ai; Strickler, J. Rudi; Göller, Sebastian; Erdmann, Udo; Schimansky-Geier, Lutz; Sokolov, Igor M.
3
2007
Estimation of the smallest eigenvalue in fractional escape problems: semi-analytics and fits. Zbl 1348.60005
Dybiec, Bartłomiej; Sokolov, Igor M.
3
2015
Extension of non-linear beam models with deformable cross sections. Zbl 1336.74040
Sokolov, I.; Krylov, S.; Harari, I.
2
2015
One-dimensional space-discrete transport subject to Lévy perturbations. Zbl 1155.82018
Pavlyukevich, Ilya; Sokolov, Igor M.
2
2008
Continuous-time random walks in an oscillating field: Field-induced dispersion and the death of linear response. Zbl 1142.82364
Sokolov, I. M.; Klafter, J.
2
2007
Continuum description of a contact infection spread in a SIR model. Zbl 1116.92056
Postnikov, Eugene B.; Sokolov, Igor M.
2
2007
On stochastic dynamics in physics – remarks on history and terminology. Zbl 1371.82005
Ebeling, Werner; Gudowska-Nowak, Ewa; Sokolov, Igor M.
2
2008
Diffusion of active particles with stochastic torques modeled as \(\alpha\)-stable noise. Zbl 1355.82023
Nötel, Jörg; Sokolov, Igor M.; Schimansky-Geier, Lutz
1
2017
Non-equilibrium directed diffusion and inherently irreversible heat engines. Zbl 0943.82570
Sokolov, I. M.; Blumen, A.
1
1997
Competition between Lévy jumps and continuous drift. Zbl 1029.60036
Sokolov, I. M.; Belik, V. V.
1
2003
Onsagers fluctuation theory and new developments including non-equilibrium Lévy fluctuations. Zbl 1371.82082
Kuśmierz, Ł.; Ebeling, W.; Sokolov, I. M.; Gudowska-Nowak, E.
1
2013
What is the alternative to the Alexander-Orbach relation? Zbl 1342.82071
Sokolov, Igor M.
1
2016
Beyond monofractional kinetics. Zbl 1374.45016
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei
9
2017
Diffusion of active particles with stochastic torques modeled as \(\alpha\)-stable noise. Zbl 1355.82023
Nötel, Jörg; Sokolov, Igor M.; Schimansky-Geier, Lutz
1
2017
What is the alternative to the Alexander-Orbach relation? Zbl 1342.82071
Sokolov, Igor M.
1
2016
Codifference as a practical tool to measure interdependence. Zbl 1395.62286
Wyłomańska, Agnieszka; Chechkin, Aleksei; Gajda, Janusz; Sokolov, Igor M.
10
2015
First steps in random walks. From tools to applications. Reprint of the 2011 hardback edition. Zbl 1328.60001
Klafter, J.; Sokolov, I. M.
8
2015
Estimation of the smallest eigenvalue in fractional escape problems: semi-analytics and fits. Zbl 1348.60005
Dybiec, Bartłomiej; Sokolov, Igor M.
3
2015
Extension of non-linear beam models with deformable cross sections. Zbl 1336.74040
Sokolov, I.; Krylov, S.; Harari, I.
2
2015
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit. Zbl 1267.82112
Chechkin, A. V.; Zaid, I. M.; Lomholt, M. A.; Sokolov, I. M.; Metzler, R.
3
2013
Onsagers fluctuation theory and new developments including non-equilibrium Lévy fluctuations. Zbl 1371.82082
Kuśmierz, Ł.; Ebeling, W.; Sokolov, I. M.; Gudowska-Nowak, E.
1
2013
Natural and modified forms of distributed-order fractional diffusion equations. Zbl 1297.35267
Chechkin, Aleksei; Sokolov, Igor M.; Klafter, Joseph
8
2012
First steps in random walks. From tools to applications. Zbl 1242.60046
Klafter, J.; Sokolov, I. M.
62
2011
Relaxation to stationary states for anomalous diffusion. Zbl 1323.76109
Dybiec, Bartłomiej; Sokolov, Igor M.; Chechkin, Aleksei V.
4
2011
The matchmaking paradox: a statistical explanation. Zbl 1185.91140
Eliazar, Iddo I.; Sokolov, Igor M.
4
2010
Editorial: ecological complex systems. Zbl 1188.92001
Provata, Astero; Sokolov, Igor M.; Spagnolo, Bernardo
3
2008
One-dimensional space-discrete transport subject to Lévy perturbations. Zbl 1155.82018
Pavlyukevich, Ilya; Sokolov, Igor M.
2
2008
On stochastic dynamics in physics – remarks on history and terminology. Zbl 1371.82005
Ebeling, Werner; Gudowska-Nowak, Ewa; Sokolov, Igor M.
2
2008
Optimal foraging by zooplankton within patches: The case of \(Daphnia\). Zbl 1119.92068
Garcia, Ricardo; Moss, Frank; Nihongi, Ai; Strickler, J. Rudi; Göller, Sebastian; Erdmann, Udo; Schimansky-Geier, Lutz; Sokolov, Igor M.
3
2007
Continuous-time random walks in an oscillating field: Field-induced dispersion and the death of linear response. Zbl 1142.82364
Sokolov, I. M.; Klafter, J.
2
2007
Continuum description of a contact infection spread in a SIR model. Zbl 1116.92056
Postnikov, Eugene B.; Sokolov, Igor M.
2
2007
From diffusion to anomalous diffusion: a century after Einstein’s Brownian motion. Zbl 1080.82022
Sokolov, I. M.; Klafter, J.
115
2005
Fractional diffusion in inhomogeneous media. Zbl 1082.76097
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.
74
2005
Statistical thermodynamics and stochastic theory of nonequilibrium systems. Zbl 1142.82001
Ebeling, Werner; Sokolov, Igor M.
10
2005
SIS epidemics with household structure: the self-consistent field method. Zbl 1048.92029
Ghoshal, G.; Sander, L. M.; Sokolov, I. M.
17
2004
Non-uniqueness of the first passage time density of Lévy random processes. Zbl 1071.60033
Sokolov, Igor M.; Metzler, Ralf
8
2004
Distributed order time fractional diffusion equation. Zbl 1089.60046
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.; Gonchar, V. Yu.
81
2003
Epidemics, disorder, and percolation. Zbl 1022.92037
Sander, L. M.; Warren, C. P.; Sokolov, I. M.
6
2003
Competition between Lévy jumps and continuous drift. Zbl 1029.60036
Sokolov, I. M.; Belik, V. V.
1
2003
Percolation on heterogeneous networks as a model for epidemics. Zbl 1015.92035
Sander, L. M.; Warren, C. P.; Sokolov, I. M.; Simon, C.; Koopman, J.
20
2002
Statistics of two-particle dispersion in two-dimensional turbulence. Zbl 1185.76059
Boffetta, G.; Sokolov, I. M.
11
2002
Linear response in complex systems: CTRW and the fractional Fokker-Planck equations. Zbl 0983.60040
Sokolov, I. M.; Blumen, A.; Klafter, J.
13
2001
Non-equilibrium directed diffusion and inherently irreversible heat engines. Zbl 0943.82570
Sokolov, I. M.; Blumen, A.
1
1997
all top 5

Cited by 664 Authors

17 Wei, Ting
11 Mainardi, Francesco
11 Sandev, Trifce
9 Eliazar, Iddo I.
8 Magdziarz, Marcin
8 Sun, Hongguang
7 Chechkin, Aleksei V.
7 Deng, Weihua
7 Liu, Fawang
7 Meerschaert, Mark Marvin
7 Pagnini, Gianni
6 Abbaszadeh, Mostafa
6 Avazzadeh, Zakieh
6 Gorenflo, Rudolf
6 Heydari, Mohammad Hossien
6 McLean, William
6 Wyłomańska, Agnieszka
6 Yamamoto, Masahiro
5 Anh, Vo V.
5 Chen, Wen
5 Dehghan Takht Fooladi, Mehdi
5 Kaminski Lenzi, Ervin
5 Li, Zhiyuan
5 Luchko, Yuri
5 Luchko, Yurii F.
5 Machado, José António Tenreiro
5 Metzler, Ralf
5 Sokolov, Igor’ Mikhaĭlovich
5 Wang, Jungang
4 Atangana, Abdon
4 Băleanu, Dumitru I.
4 Bäumer, Boris
4 Chen, Yangquan
4 Frank, Till Daniel
4 Gajda, Janusz
4 Henry, Bruce I.
4 Liu, Jijun
4 Mustapha, Kassem
4 Neal, Peter J.
4 Scheffler, Hans-Peter
4 Stojanović, Mirjana N.
4 Sun, Zhizhong
4 Toaldo, Bruno
4 Turner, Ian William
4 Zaky, Mahmoud A.
3 Bazhlekova, Emilia G.
3 Biferale, Luca
3 Boffetta, Guido
3 Capała, Karol
3 Cohen, Morrel H.
3 Dybiec, Bartłomiej
3 Gao, Guanghua
3 Haubold, Hans Joachim
3 Hosseininia, M.
3 House, Thomas
3 Hu, Xiuling
3 Janno, Jaan
3 Kochubeĭ, Anatoliĭ Naumovych
3 Lanotte, Alessandra S.
3 Leonenko, Nikolai N.
3 Li, Xiaoxiao
3 Mathai, Arakaparampli Mathai
3 Mohebbi, Akbar
3 Sikora, Grzegorz
3 Straka, Peter
3 Sun, Liangliang
3 Szczotka, Władysław
3 Toschi, Federico
3 Xian, Jun
3 Xu, Pengbo
3 Yang, Fan
3 Zhang, Luming
3 Zhou, Zhi
3 Zola, Rafael S.
2 Acosta, Gabriel
2 Ali, Raed
2 Almaguer, F-Javier
2 Angstmann, Christopher N.
2 Ascione, Giacomo
2 Aziz, Sara
2 Ball, Frank G.
2 Bazhlekov, Ivan B.
2 Bhrawy, Ali Hassan
2 Borthagaray, Juan Pablo
2 Britton, Tom
2 Burrage, Kevin
2 Celani, Antonio
2 Chen, Changming
2 Chen, Minghua
2 Chen, Xiaosong
2 Cheng, Xiaoliang
2 Da Luz, Marcos G. E.
2 Daftardar-Gejji, Varsha
2 Devenish, Ben J.
2 Doha, Eid H.
2 dos Santos, Maike A. F.
2 Duan, Jinqiao
2 Eule, Stephan
2 Evangelista, Luiz Roberto
2 Ezz-Eldien, Samer S.
...and 564 more Authors
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Cited in 129 Serials

29 Fractional Calculus & Applied Analysis
26 Computers & Mathematics with Applications
15 Applied Mathematics and Computation
14 Journal of Statistical Physics
14 Applied Mathematical Modelling
14 Journal of Statistical Mechanics: Theory and Experiment
12 Physica A
10 Applied Numerical Mathematics
10 Chaos
9 Journal of Computational Physics
9 Journal of Computational and Applied Mathematics
8 Journal of Mathematical Analysis and Applications
8 Chaos, Solitons and Fractals
8 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Mathematical Physics
6 Inverse Problems
6 Physics of Fluids
6 Mathematical Modelling of Natural Phenomena
5 Applied Mathematics Letters
5 Computational and Applied Mathematics
5 Nonlinear Dynamics
5 Abstract and Applied Analysis
5 Inverse Problems in Science and Engineering
5 Journal of Physics A: Mathematical and Theoretical
5 Journal of Theoretical Biology
4 Journal of Fluid Mechanics
4 Journal of Mathematical Biology
4 Physics Letters. A
4 Physics Reports
4 Bulletin of Mathematical Biology
4 Theoretical Population Biology
4 Numerical Methods for Partial Differential Equations
4 Numerical Algorithms
4 Annals of Physics
4 Journal of Inverse and Ill-Posed Problems
4 Engineering Analysis with Boundary Elements
4 Advances in Difference Equations
3 Advances in Applied Probability
3 Mathematical Biosciences
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Scientific Computing
3 International Journal of Computer Mathematics
3 SIAM Journal on Applied Mathematics
3 Stochastic Processes and their Applications
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 New Journal of Physics
3 International Journal of Modern Physics C
2 International Journal of Modern Physics B
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Applied Probability
2 Journal of Functional Analysis
2 Mathematics and Computers in Simulation
2 Quarterly of Applied Mathematics
2 SIAM Journal on Numerical Analysis
2 Signal Processing
2 Mathematical Problems in Engineering
2 Taiwanese Journal of Mathematics
2 The ANZIAM Journal
2 Nonlinear Analysis. Real World Applications
2 Discrete and Continuous Dynamical Systems. Series B
2 Computational Methods in Applied Mathematics
2 Journal of Applied Mathematics and Computing
2 Mathematics
1 Modern Physics Letters A
1 Modern Physics Letters B
1 Acta Mechanica
1 Applicable Analysis
1 Astrophysics and Space Science
1 Discrete Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of the Franklin Institute
1 Physics Letters. B
1 Mathematics of Computation
1 Calcolo
1 Integral Equations and Operator Theory
1 Meccanica
1 Networks
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Mathematical and Computer Modelling
1 Proceedings of the National Academy of Sciences of the United States of America
1 Bulletin of the American Mathematical Society. New Series
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Cybernetics and Systems Analysis
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Filomat
1 Advances in Computational Mathematics
1 Complexity
1 Journal of Vibration and Control
1 Mathematical and Computer Modelling of Dynamical Systems
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Russian Physics Journal
...and 29 more Serials
all top 5

Cited in 38 Fields

220 Partial differential equations (35-XX)
143 Numerical analysis (65-XX)
121 Probability theory and stochastic processes (60-XX)
80 Real functions (26-XX)
78 Statistical mechanics, structure of matter (82-XX)
48 Biology and other natural sciences (92-XX)
43 Ordinary differential equations (34-XX)
27 Integral equations (45-XX)
24 Special functions (33-XX)
24 Fluid mechanics (76-XX)
11 Integral transforms, operational calculus (44-XX)
11 Statistics (62-XX)
10 Operator theory (47-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Quantum theory (81-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Combinatorics (05-XX)
7 Mechanics of deformable solids (74-XX)
6 Information and communication theory, circuits (94-XX)
5 History and biography (01-XX)
5 Approximations and expansions (41-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Geophysics (86-XX)
5 Systems theory; control (93-XX)
4 Measure and integration (28-XX)
4 Functional analysis (46-XX)
4 Computer science (68-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Optics, electromagnetic theory (78-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Operations research, mathematical programming (90-XX)
1 Category theory; homological algebra (18-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year