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.
Yu. A. Kravtsov, A. I. Saichev, “Effects of double passage of waves in randomly inhomogeneous media”, Phys. Usp., 25:7 (1982), 494–508
3.
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. Piryatinska, A. Saichev, W. Woyczynski, “Models of anomalous diffusion: the subdiffusive case”, Physica A: Statistical Mechanics and Applications, 349 (2005), 375-421
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.
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
8.
A. Saichev, D. Sornette, “Theory of Earthquake Recurrence Times”, Journal of Geophysical Research, 112 (2007), B04313-1-26
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
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
13.
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
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, W.A. Woyczynski, “Probability distributions of passive tracers in randomly moving media”, The IMA Volumes in Mathematics and its Applications, 85 (1987), 359-400
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
22.
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
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
24.
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.
25.
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
26.
I.S. Zhukova, A.I. Saichev, “Svoistva sgustkov primesi v turbulentnoi srede”, Prikladnaya Matematika i Mekhanika, 68:2 (2004), 326-334
27.
I.S. Zhukova, A.I. Saichev, “Lokalizatsiya sgustkov plavuchikh chastits na poverkhnosti turbulentnogo potoka”, Prikladnaya Matematika i Mekhanika, 64:4 (2000), 624-630
28.
O. Repin, A. Saichev, “Drobnyi zakon Puassona”, Izv. VUZ Radiofizika, 43:9 (2000), 823-826
29.
E.Z. Gribova, A.I. Saichev, “O svyazi eilerovoi i lagranzhevoi statistik brounovskoi chastitsy”, Zhurnal Tekhnicheskoi Fiziki, 70:9 (2000), 1-6
I.S. Zhukova, A.I. Saichev, “Statistika eilerova polya plotnosti passivnoi primesi v neszhimaemoi i szhimaemoi sredakh”, Prikladnaya Matematika i Mekhanika, 61:5 (1997), 788-797
32.
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.
33.
E.Z. Gribova, A.I. Saichev, “O detektirovanii brounovskikh chastits”, Izv. AN. Fizika Atmosfery i Okeana, 33:5 (1997), 654-661
34.
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
35.
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.
36.
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
37.
S. N. Gurbatov, A. I. Saichev, “Asymptotic properties of one-dimensional acoustic turbulence”, Dokl. Akad. Nauk SSSR, 259:1 (1981), 73–75