Book:   V. Mendez, S. Fedotov, W. Horsthemke.  Reaction-Transport Systems: Mesoscopic Foundations, Fronts, and Spatial Instabilities. Springer Series in Synergetics. 1st Edition, 2010, 450 p.



81. Sergei Fedotov, Abby Tan and Andrey Zubarev (2015)  Persistent random walk of cells involving anomalous effects and random death. Phys. Rev. E 91, 042124 (10 pages)  (pdf.file)


80. Sergei Fedotov and Nickolay Korabel (2015) Subdiffusion in a external potential: Anomalous effects hiding behind normal behavior. Phys. Rev. E 91, 042112 (6 pages)    (pdf.file)


79. P. Straka and S. Fedotov (2015) Transport equations for subdiffusion with nonlinear particle interaction, J. Theor. Biology 366, 71-83.  (pdf.file)


78. Sergei Fedotov and Steven Falconer (2014) Nonlinear degradation-enhanced transport of morphogens performing subdiffusion. Phys. Rev. E 89, 012107 (6 pages)   (pdf.file)


77. Dmitry V Alexandrov, Irina A Bashkirtseva, Sergei P Fedotov, Lev B Ryashko, (2014) Regular and chaotic regimes in Saltzman model of glacial climate dynamics under the influence of additive and paramtic noise, European Physical J B, 87 227 (10 pages)  (pdf.file)


76. Sergei Fedotov (2013) Nonlinear subdiffusive fractional equations and the aggregation phenomenon.  Phys. Rev. E 88, 032104 (9 pages) (pdf.file)


75. Sergei Fedotov and Steven Falconer (2013) Random death process for the regularization of subdiffusive fractional equations.  Phys. Rev. E 87, 052139 (5 pages) (pdf.file)


74. S. Fedotov, A.O. Ivanov and A. Y. Zubarev (2013) Non-homogeneous Random Walks, Subdiffusive Migration of Cells and Anomalous Chemotaxis, Mathematical Modelling of Natural Phenomena 8, 28-43 (pdf.file)


73. Sergei Fedotov and Steven Falconer (2012) Subdiffusive master equation with space dependent anomalous exponent and structural instability.  Phys. Rev. E 85, 031132 (6 pages) (pdf.file)


72. Vicenç Méndez, Daniel Campos, Ignacio Pagonabarraga, and Sergei Fedotov (2012) Density-dependent dispersal and population aggregation patterns.  J. Theor. Biology, 309 113-120 (pdf.file)



71. Sergei Fedotov, Alexander Iomin, and Lev Ryashko (2011) Non-Markovian models for migration-proliferation dichotomy of cancer cells: Anomalous switching and spreading rate. Phys. Rev. E 84, 061131 (8 pages) (pdf.file)


70. Sergei Fedotov (2011) Subdiffusion, chemotaxis, and anomalous aggregation. Phys. Rev. E 83, 021110 (5 pages) (pdf.file).

69. Sergei Fedotov, Hamed Al-Shamsi, Alexey Ivanov and Andrey Zubarev (2010) Anomalous transport and nonlinear reactions in spiny dendrites Phys. Rev. E 82, 041103 (9 pages) (pdf.file)

68. Sergei Fedotov (2010) Non-Markovian random walks and nonlinear reactions: Subdiffusion and propagating fronts. Phys. Rev. E 81, 011117 (7 pages) (pdf.file)

67. N. Chirikov, S. P. Fedotov, L. Yu. Iskakova, and A. Yu. Zubarev (2010) Viscoelastic properties of ferrofluids. Phys. Rev. E 82, 051405 (10 pages) (pdf.file)

66. Sergei Fedotov and Vicenç Méndez (2008) Non-Markovian model for transport and reactions of particles in spiny dendrites. Phys. Rev. Lett. 101, 218102 (4 pages)  (pdf.file)

65. Sergei Fedotov, David Moss, and Daniel Campos (2008) Stochastic model for population migration and the growth of human, settlements during the Neolithic. Phys. Rev. E  78, 026107 (7 pages) (pdf.file)

64. Sergei Fedotov and Alexander Iomin (2008) Probabilistic approach to a proliferation and migration dichotomy in tumor cell invasion. Phys. Rev. E 77, 031911 (10 pages) (pdf.file)

63. Daniel Campos, Sergei Fedotov, and Vicenç Méndez (2008) Anomalous reaction transport processes: The dynamics beyond the law of mass action. Phys. Rev. E 77, 061130 (5 pages)  (pdf.file)

62. Daniel Campos, Vicenç Méndez, and Sergei Fedotov (2008) The effects of distributed life cycles on the dynamics of viral infections. J. Theor. Biology  254, 430– 438  (pdf.file)


61.  S. Fedotov, G. N. Milstein, and M. V. Tretyakov (2007) Superdiffusion of a random walk driven by ergodic Markov process with switching. J. Phys. A: Math. Theor. 40, 5769-5782 (pdf.file)

60. Sergei Fedotov  and Alexander Iomin (2007) Migration and proliferation dichotomy in tumor cell invasion. Phys. Rev. Lett. 98, 118101 (4 pages) (pdf.file)

59. A.Yadav, Sergei Fedotov, Vicenç Méndez, Werner Horsthemke (2007) Propagating fronts in reaction–transport systems with memory. Physics Letters A 371, 374–378. (pdf.file)

58. S.I. Abarzhi, M. Cadjan  S. Fedotov (2007) Stochastic model of Rayleigh–Taylor turbulent mixing. Physics Letters A 371, 457–461.

57. Vicenç Méndez, Sergei Fedotov, and Werner Horsthemke (2007) Effect of memory on the speed of reaction-diffusion fronts. Europhysics Letters, 77 58006 (5 pages) (pdf.file)

56. Sergei Fedotov and Andrey Zubarev (2007) Waves in a two-component model of galactic dynamo: metastability and stochastic generation. Physica A 380, 226-234  (pdf.file)

55. Vicenç Méndez, Sergei Fedotov, Daniel Campos and Werner Horsthemke (2007) Biased random walks and propagation failure. Phys. Rev. E 75, 011118 (4 pages) (pdf.file)


54. Sergei Fedotov, Irina Bashkirtseva, and Lev Ryashko (2006) Stochastic dynamo model for subcritical transition, Phys. Rev. E. 73, 066307 (5 pages)  (pdf.file)

53. Sergei Fedotov, Matthias Ihme and Heinz Pitsch (2005) Stochastic mixing model with power law decay of variance, Phys. Rev. E.  71, 016310 (8 pages)  (pdf.file)

52. Sergei Fedotov and Abby Tan (2005) Long Memory Stochastic Volatility in Option Pricing, Int. J. Theoretical and Applied Finance  8, 381-392. 

51. Sergei Fedotov and Stephanos Panayides (2005) Stochastic arbitrage return and its implication for option pricing, Physica A  345207-217.  (pdf.file)

50. Sergei Fedotov and Yuki Okuda (2004) Waves in a reaction-transport system with memory, long-range interactions and transmutations, Phys. Rev. E. 70, 051108 (10 pages).  

49. Vicenç Méndez, Daniel Campos and Sergei Fedotov (2004) Analysis of fronts in reaction-dispersal processes, Phys. Rev. E. 70, 066129 (6 pages).  (pdf.file)

48. S. Fedotov, I. Bashkirtseva, and L. Ryashko (2004) Stochastic analysis of subcritical amplification of magnetic energy in a turbulent dynamo, Physica A 342, 3-4, 491 506. (pdf.file)

47. V. Mendez, D. Campos and S. Fedotov (2004) Front propagation in reaction-dispersal models with finite jump speed. Phys. Rev. E. 70, 036121 (7 pages)


46. Fedotov, S. (2003) Non-normal and stochastic amplification of magnetic energy in the turbulent dynamo: Subcritical case. Phys. Rev. E.  68, 067301 (4 pages) (pdf-format)  

45. Mendez, V., Fort, J., Rotstein, H. and Fedotov, S. (2003) Speed of reaction-diffusion fronts in spatial heterogeneous media. Phys. Rev. E. 68, 041105 (11 pages) (pdf-format)

44. Fedotov, S., Ivanov, A., and Zubarev, A. (2003) Non-local mean field dynamo theory and magnetic fronts in galaxies, Geophys. Astrophysical Fluid Dynamics, 97, 135- 148. (pdf-format) 

43. Pitsch, H., Cha, C. M., and Fedotov, S. (2003) Flamelet modeling of  non-premixed turbulent combustion with local extinction and re-ignition, Comb. Theory Modelling 7, 317-332. (pdf-format) 

42. Fedotov, S., Bashkirtseva, I. and Ryashko, L. (2002) Stochastic analysis of a non-normal dynamical system mimicking a laminar-to-turbulent subcritical transition.  Phys. Rev. E. 66, 066310 (pdf-format) 

41. Sergei Fedotov, and Vicenç Méndez (2002) Continuous-time random walks and traveling fronts, Phys. Rev. E. 66, 030102(R) (pdf-format)

40. Sergei Fedotov, and  Yuki Okuda, (2002) Non-Markovian random processes and travelling fronts in a reaction-transport system with memory and long-range interactions, Phys. Rev. E. 66, 021113. (pdf-format)

39. Fedotov, S., Ivanov, A. Zubarev, A. (2002) Memory effects in a turbulent dynamo:  Generation and propagation of a large-scale magnetic field,  Phys. Rev. E. 65, 036313  (pdf-format)

38. Tretiakov, M. and Fedotov, S. (2001)  On FKPP equation with Gaussian shear advection, Physica D 159, 190-201 (pdf-format)

37. Fedotov, S. (2001) Front propagation into an unstable state of reaction-transport systems, Phys. Rev. Lett. 86, 926-929  (pdf-format)

36. Pitsch, H. and Fedotov, S. (2001) Investigation of Scalar Dissipation Rate Fluctuations in Non-Premixed Turbulent   Combustion Using a Stochastic Approach, Combust. Theory Modeling 5,  41-57.  (pdf-format)

35. Fedotov, S. and Mikhailov, S. (2001) Option Pricing for Incomplete Markets via Stochastic Optimization: Transaction Costs, Adaptive Control, and Forecast, Intern. J. Theoretical and Applied Finance, 4, 179-195 (pdf-format)

34. Fedotov, S. (2001) Asymptotic analysis of traveling fronts for reaction-transport systems via Hamilton-Jacobi formalism. In Nonlinear Dynamics in the Life and Social Sciences, NATO Series A: Life Sciences - vol. 320 (Eds W.Sulis, I.Trofimova), pp. 153-165.

33. Fedotov, S. (2000)  Front dynamics for an anisotropic reaction-diffusion equation. J. Physics A: Mathematical and General, 33, 7033-7042  (pdf-format)

32. Fedotov, S. (1999) Nonuniform reaction rate distribution for the generalized Fisher equation: ignition ahead of the reaction front.  Phys. Rev. E, 60, 4958-4961. (pdf-format)

31. Fedotov, S. (1999) Wave front for a reaction-diffusion system and relativistic Hamilton-Jacobi dynamics. Phys. Rev. E, 59, 5040-5044  (pdf-format)

30. Fedotov, S. (1998) Traveling waves in reaction-diffusion system: diffusion with finite velocity and Kolmogorov-  Petrovskii- Piskunov kinetics. Phys. Rev. E, 58, 5143-5145. (pdf-format)


29. Fedotov, S. (1997)  Scaling and renormalization for Kolmogorov-Petrovskii-Piskunov equation with turbulent convection. Phys. Rev. E, 55, 2750-2756 (pdf-format)  

28. Fedotov, S. (1997) Large scale probability density function for scalar field advected by high Reynolds number turbulent flow. J. Physics A: Mathematical and General, 30, L77-L82.

27. Fedotov, S.P. (1997) G-equation, Stochastic Control Theory and Relativistic Mechanics of a Particle Moving in a Random Field. Combust. Theory Modelling, 1, L1-L6.  

26. Fedotov, S.P. (1996) Stochastic description of premixed turbulent combustion in terms of a coarse-grained flame surface density. Combustion and Flame, 106, 369-376.

25. Fedotov, S.P. (1996) Upper bounds for reaction front in d-dimensional turbulent flow J. Phys. A: Math. Gen.,29, L517-521. 

24. Fedotov, S. (1996)  Hamiltonian dynamics of a flame surface advected by random velocity field: KPP-equation with random advection and renormalization. ZAMM, 76, 5, 139-141.

23. Fedotov, S.P. (1995) Renormalization for reaction front propagation in a fully developed turbulent shear flow. Phys. Rev. E., 52, 3835-3839.

22. Fedotov, S.P. (1995) Reaction front propagation in a turbulent flow. J. Phys. A: Math. Gen., 28, 17, L461-L468.

21. Fedotov, S.P. (1995) The problem of flame propagation in a random velocity field: weak turbulence limit. J. Phys. A: Math. Gen., 28, 2057-2064.

20. Fedotov, S.P. (1993) Stochastic analysis of the thermal ignition of a distributed explosive system. Phys. Lett. A, 176, 220-224.

19. Buyevich, Yu.A., Fedotov, S.P., and Tret'yakov, M.V.(1993) Heterogeneous reaction affected by external noise. Physica A, 198, 354-367.

18. Fedotov, S.P. (1993) On the stochastic disturbances in a distributed chemical reactor, Dokl. Akad. Nauk SSSR, 329, 755-757.

17. Fedotov, S.P. (1992) Statistical model of the thermal ignition of a distributed system. Comb. and Flame, 91, 65-70.

16. Fedotov, S.P. (1992) Stochastic ignition of a distributed reacting system. Dokl. Akad. Nauk SSSR, 327, no. 2, 214--217  (Russian); translation in Soviet Phys. Dokl. 37 (1992), no. 11, 560--562 (1993).

15. Fedotov, S.P. and Tret'yakov, M.V. (1991) Stochastic criteria for ignition of single particles. Comb. Sci. and Tech.,78, 1-3, 1-6.

14. Buyevich, Yu.A., Tret'yakov, M.V., and Fedotov, S.P. (1991) A model of the stochastic growth of  new phase islands on a solid surface. Dokl. Akad. Nauk SSSR, 321, 1005-1008; translation in  Dokl. Phys. Chem., 6, 852-854. 

13. Koroleva, N.A. and Fedotov, S.P. (1991) Oscillations in a bounded volume of reacting gas suspensate. Combust. Explo. Shock Physics, 27, 1, 78-82 .

12. Fedotov, S.P. and Tretyakov, M.V. (1991) Stochastic particle combustion. Khim. Fiz. 10 238-241.

11. Tretyakov, M.V. and Fedotov, S.P. (1990) Stationary regimes of heterogeneous reaction in the presence of white poisson noise. Khim. Fiz. 9, 252-257.

10. Fedotov, S.P. and Marchasin, V.S. (1990) Instability of homogeneous blood distribution in the microvascular network. Dokl. Akad. Nauk. SSSR, 313, 6, 1497-1499 (in Russian).

9. Fedotov, S.P. and Steinberg, A.V. (1990) Fluctuations of vascular tonus as a mechanism for the self-regulation of the oxygenation of muscle tissue. Dokl. Akad. Nauk SSSR 311, no. 1, 231--234 (Russian) .

8. Buevich, Yu.A., Koroleva, N.A., and Fedotov, S.P. (1989) Oscillatory state of  infiltration combustion. Combust. Explo. Schock,  25, 2, 152-158.

7. Fedotov, S.P. and Tret'yakov, M.V. (1988) Steady state regimes of heterogeneous chemical reaction in the presense of external noise. Chem. Phys. 7, 11, 1533-1537 (in Russian).

6. Fedotov, S.P. and Michailova, N.A. (1988) Instability of a steady state regime for the combustion of petroleum in a porous medium. J. Eng. Phys. 55, 5, 1244-1251.

5. Buyevich, Yu.A. and Fedotov, S.P. (1987) Formation of heterogeneous reaction regimes under the action of multiplicative noise. J. Eng. Phys. 53, 5, 1302-1306.

4. Buevich, Y.A. and Fedotov, S.P. (1985) Instability of sound waves in chemically reacting aerocolloids. Combust. Explo. Shock, 21, 570-577.

3. Buyevich, Yu.A. and Fedotov, S.P. (1984) Velocity and attenuatian of sound in a vapor-droplet mixture. High. Temp. 22, 5, 739-743.

2. Buyevich, Yu.A. and Fedotov, S.P. (1983) Weakly nonlinear disturbances in concentrated gas suspensions. J. Appl. Mech. Tech. Phys. 24, 3, 366-371.

1. Buyevich, Yu.A. and Fedotov, S.P. (1982) Diffusion and mass transfer in moderately concentrated disperse system with small Peclet numbers. J. Eng. Phys. 43, 5, 1213-1118.