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Recent 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.
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)
2007
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. (pdf.file)
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)
2004-2006
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 (cond-mat/04053761)
51. Sergei Fedotov and Stephanos Panayides
(2005) Stochastic arbitrage return and its implication for option pricing, Physica
A 345,
207-217. (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)
2001-2003
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) (ps-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 (ps-format)(pdf-format)
41. Sergei Fedotov, and Vicenç
Méndez (2002) Continuous-time random walks
and traveling fronts, Phys. Rev. E. 66, 030102(R)
(ps-format),
(pdf-format)
40. Fedotov, Sergei and Okuda, Yuki (2002) Non-Markovian
random processes and travelling fronts in a reaction-transport system with
memory and long-range interactions, Phys. Rev. E. 66, 021113. (ps-format), (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.
(ps-format), (pdf-format) (astro-ph/0106134)
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. (ps-format),
(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. (ps-format),
(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.
1982-2000
33. Fedotov, S. (2000) Front dynamics for an anisotropic
reaction-diffusion equation. J. Physics A: Mathematical and General,
33, 7033-7042. (ps-format),
(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. (ps-format), (pdf-format)
31. Fedotov, S. (1999) Wave front for
a reaction-diffusion system and relativistic Hamilton-Jacobi dynamics. Phys.
Rev. E, 59, 5040-5044. (ps-format), (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.
(ps-format),(pdf-format)
29. Fedotov, S. (1997) Scaling and renormalization for Kolmogorov-Petrovskii-Piskunov equation with turbulent
convection. Phys. Rev. E, 55, 2750-2756. (ps-format),(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. (ps-format)
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. (ps-format)
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. (ps-format)
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.
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