S.N. Gurbatov, O.V. Rudenko, A.I. Saichev, Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics, Springer, 2011 , 500 pp.
Saichev A., Malvergne Y., Sornette D., Theory of Zipf's Law and Beyond, Lecture Notes in Economics and Mathematical Systems, 632, Springer, 2010 , 171 pp.
A.I. Saichev, Woyczynski W.A., Distributions in the Physical and Engineering Sciences, v. 1, Distributional and Fractal Calculus, Integral Transforms and Wavelets, Birkhäuser, Boston, 1997 , 336 pp.
S.N. Gurbatov, A.N. Malakhov, A.I. Saichev, Nonlinear random waves and turbulence in nondispersive media: waves, rays and particles, Manchester University Press, Manchester, 1991 , 308 pp.
S. N. Gurbatov, A. I. Saichev, S. F. Shandarin, “Large-scale structure of the Universe. The Zeldovich approximation and the adhesion model”, Phys. Usp., 55:3 (2012), 223–249
2.
A. Saichev., D. Sornette, “Effects of diversity and procrastination in priority queuing theory: The different power law regimes”, Phys. Rev. E, 81 (2010), 016108-1-13
A. I. Saichev, V. A. Filimonov, “Numerical simulation of the realizations and spectra of a quasi-multifractal diffusion process”, JETP Letters, 87:9 (2008), 506–510
4.
A. Saichev, D. Sornette, “Theory of Earthquake Recurrence Times”, Journal of Geophysical Research, 112 (2007), B04313-1-26
A. I. Saichev, S. G. Utkin, “Transition of Multidimensional Jumplike Processes from Anomalous Diffusion to Linear Diffusion”, Theoret. and Math. Phys., 143:3 (2005), 870–878
8.
A. Saichev, D. Sornette, “Vere-Jones' self-similar branching model”, Phys. Rev. E, 72 (2005), 056122-1-13
A. Saichev, A. Helmstetter, D. Sornette, “Power-law distributions of offsprings and generation numbers in branching models of earthquake triggering”, Pure and Applied Geophysics, 162 (2005), 1-21
A. Piryatinska, A. Saichev, W. Woyczynski, “Models of anomalous diffusion: the subdiffusive case”, Physica A: Statistical Mechanics and Applications, 349 (2005), 375-421
I.S. Zhukova, A.I. Saichev, “Svoistva sgustkov primesi v turbulentnoi srede”, Prikladnaya Matematika i Mekhanika, 68:2 (2004), 326-334
12.
A.I. Saichev, H. Ishio, A.F. Sadreev, K.-F. Berggren, “Statistics of interior current distributions in two-dimensional open chaotic billiards”, J. Phys. A: Math. Gen., 35 (2002), L87-L93
H. Ishio, A.I. Saichev, A.F. Sadreev, K.-F. Berggren, “Wave function statistics for ballistic quantum transport through chaotic open billiards: Statistical crossover and coexistence of regular and chaotic waves”, Phys. Rev. E, 64 (2001), 056208-1-12
A. Saichev, K.-F. Berggren, A. Sadreev, “Distribution of nearest distances between nodal points for the Berry function in two dimensions”, Phys. Rev. E, 64 (2001), 036222-1-11
E.Z. Gribova, A.I. Saichev, “O detektirovanii brounovskikh chastits”, Izv. AN. Fizika Atmosfery i Okeana, 33:5 (1997), 654-661
22.
V.I. Klyatskin, A.I. Saichev, “K statisticheskoi teorii plavuchei primesi v sluchainom pole skorostei”, Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, 111:4 (1997), 1297-1313
23.
A.I. Saichev, W.A. Woyczynski, “Model description of passive density fields in framework of Burgers' and other related model equations”, The IMA Volumes in Mathematics and its Applications, 77, Springer, New York, 1996, 167-192
V. I. Klyatskin, A. I. Saichev, “Statistical and dynamic localization of plane waves in randomly layered media”, Phys. Usp., 35:3 (1992), 231–247
26.
S.N. Gurbatov, A.I. Saichev, S.F. Shandarin, “The large-scale structure of the Universe in the frame of the model equation of nonlinear diffusion”, Monthly Notices of the Royal Astronomy Society, 1989, no. 236, 385-402
A. N. Malakhov, A. V. Polovinkin, A. I. Saichev, “Partial wave front reversal in a randomly inhomogeneous medium”, Phys. Usp., 30:8 (1987), 748–749
28.
A.I. Saichev, W.A. Woyczynski, “Probability distributions of passive tracers in randomly moving media”, The IMA Volumes in Mathematics and its Applications, 85 (1987), 359-400
S. N. Gurbatov, A. I. Saichev, S. F. Shandarin, “A model description of the development of the large-scale
structure of the Universe”, Dokl. Akad. Nauk SSSR, 285:2 (1985), 323–326
31.
S. N. Gurbatov, A. I. Saichev, I. G. Yakushkin, “Nonlinear waves and one-dimensional turbulence in nondispersive media”, Phys. Usp., 26:10 (1983), 857–876
32.
Yu. A. Kravtsov, A. I. Saichev, “Effects of double passage of waves in randomly inhomogeneous media”, Phys. Usp., 25:7 (1982), 494–508
33.
S. N. Gurbatov, A. I. Saichev, “Asymptotic properties of one-dimensional acoustic turbulence”, Dokl. Akad. Nauk SSSR, 259:1 (1981), 73–75
Books
34.
S.N. Gurbatov, O.V. Rudenko, A.I. Saichev, Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics, Springer, 2011 , 500 pp.
35.
Saichev A., Malvergne Y., Sornette D., Theory of Zipf's Law and Beyond, Lecture Notes in Economics and Mathematical Systems, 632, Springer, 2010 , 171 pp.
A.I. Saichev, Woyczynski W.A., Distributions in the Physical and Engineering Sciences, v. 1, Distributional and Fractal Calculus, Integral Transforms and Wavelets, Birkhäuser, Boston, 1997 , 336 pp.
37.
S.N. Gurbatov, A.N. Malakhov, A.I. Saichev, Nonlinear random waves and turbulence in nondispersive media: waves, rays and particles, Manchester University Press, Manchester, 1991 , 308 pp.