[1] Yu. E. Kuzovlev, “Molecular random walk and a sym- metry group of the Bogoliubov equation” Theoret- ical and Mathematical Physics 160 (3) 1300-1314 (Sep. 2009) { DOI:10.1007/s11232-009-0117-0 } [in Rus- sian: Teoreticheskaya i Matematicheskaya Fizika 160 (3) 517-533 (Sep. 2009)]. 

[2] Yu. E. Kuzovlev, arXiv : 0810.5383 , 0908.0274 . 

[3] Yu. E. Kuzovlev, arXiv : 0705.4580 , 0710.3831 , 0802.0288 , 0803.0301 , 0804.2023 . 

[4] Yu. E. Kuzovlev, Math. Physics Archive (http://www. ma.utexas.edu) : 07-144, 07-309, 08-209, 09-26 . 

[5] N. N. Bogolyubov. Problems of dynamical theory in sta- tistical physics. North-Holland, Amsterdam, 1962. 

[6] Yu. E. Kuzovlev : “The BBGKY equations, self-diffusion and 1/f noise in a slightly nonideal gas”, Sov.Phys. - JETP 67 (12) , 2469-2477 (1988). 

[7] Yu. E. Kuzovlev, arXiv: 0907.3475 . 

[8] Yu. E. Kuzovlev, arXiv: cond-mat/9903350 . 

[9] Similarly, in the human life, if somebody is so much free that forgets his past expenses, then he can not plan “mean expenses per unit time”! 

[10] This is realization of possible statistical property of many-particle dynamical systems foreseen by N.Krylov in his remarkable book [N. S. Krylov. Works on the founda- tions of statistical physics. Princeton, 1979] where he un- derlined that “relative frequencies of some phenomenon along a given phase trajectory, generally speaking, in no way are connected to hypothetica probabilities”, in spite of the mixing of phase trajectories (moreover, in essence, just due to the mixing). 

[11] In the low-density gas limit these fluctuations become even more (maximally) pronounced since get rid of damp- ing by collective (hydrodynamical) interactions. As these fluctuations have no specific reasons, one can say that merely they manifest non-ergodicity of kinetic behavior of many-particle dynamical systems [1, 2, 6, 8]. 

[12] Yu. E. Kuzovlev and G. N. Bochkov. “On origin and sta- tistical characteristics of 1/f noise.” Preprint No.157, NIRFI, Gorkii (Nijniy-Novgorod), Russia, 1982. 

[13] Yu. E. Kuzovlev and G. N. Bochkov, Radiophysics and Quantum Electronics 26 , No.3, 228-233 (1983). 

[14] G. N. Bochkov and Yu. E. Kuzovlev, “On probabilistic characteristics of 1/f noise.” Radiophysics and Quantum Electronics 27 , No.9, 811-816 (1984). 

[15] G. N. Bochkov and Yu. E. Kuzovlev. “On the theory of 1/f noise.” Preprint No.195, NIRFI, Gorkii (Nijniy- Novgorod), Russia, 1985 (in Russian). 

[16] G. N. Bochkov and Yu. E. Kuzovlev, “New aspects in 1/f noise studies”, Sov.Phys.-Uspekhi 26 , 829-853 (1983). 

[17] Yu.E.Kuzovlev and G.N.Bochkov, Pis’ma v ZhTF 8 , No.20, 1260 (1982) [translated into English in Sov. Tech. Phys. Lett. (1982)]. 

[18] E. Lucasc. Characteristic functions. Ch.Griffin & Co., London, 1960. 

[19] Yu. E. Kuzovlev, arXiv: cond-mat/0609515 , 0612325 . 

[20] Unfortunately, so trivial things are beyond field of vision of reviewers who easy write such nonsenses as: “statis- tical correlations at low density have little influence on the motion of particles” (how do you like it!). In fact. 

of course, statistical correlations never influence on some real processes, since reside in theory. But there (at arbi- trary density!) they are the only representatives of any orocesses including particles’ interactions and collisions. 

[21] Yu. E. Kuzovlev, “On Brownian motion in ideal gas and related principles”, arXiv : 0806. 4157 . 

[22] Yu.E.Kuzovlev, arXiv: 0902.2855, 0908.3007, 0911.0651. 

[23] H. Grad. “Principles of the kinetic theory of gases”. in Handbuch der Physik. V.12 (ed. S.Flugge). Springer, Berlin, Heidelberg, 1958. 

[24] O.E. Lanford, “Time Evolution of Large Classical Sys- tems”. In: “Dynamical Systems. Theory and Applica- tions” (ed. J. Moser), Lecture Notes in Physics 38, p.1- 111. Springer, Berlin, 1975. 

[25] C. Cercignani. ˙ Theory and application of the Boltzmann equation. Scottish Academic Press, 1975. 

[26] P. Resibois and M. de Leener. Classical kinetic theory of fluids. Wiley, New York, 1977. 

[27] N. N. Bogolyubov. “Microscopic solutions of the Boltzmann-Enskog equation in kinetic theory for elastic balls”, Theoretical and Mathematical Physics 24 , No.2, 804-807 (1975). 

[28] H. van Beijeren, O. E. Lanford III, J. L. Lebowitz, and H. Spohn, J. Stat. Phys. 22 , No.2, 237 (1980). 

[29] H. Spohn, “Fluctuation theory of the Boltzmann equa- tion”, in “Non-equilibrium Phenomena I: the Boltzmann equation”, Amsterdam, 1983. 

[30] V.I. Gerasimenko and D.Ya. Petrina, “Existence of the Boltzmann-Grad limit for an infinite system of hard spheres”, Theoretical and Mathematical Physics 83 , No.1, 402-418 (1990). 

[31] D.Ya. Petrina, “Mathematical problems of statistical me- chanics of a system of elastic balls”, Russian Mathemat- ical Surveys 45 , No.3, 153 (1990). 

[32] H. Spohn, “On the integrated horm of the BBGKY hier- archy for hard spheres”, arXiv : math-ph/0605068 . 

[33] The probability densities of finding BP at point R with momentum P and simultaneously finding out some k atoms at points r$_{j}$ with momenta p$_{j}$ [1, 2, 5, 21, 22]. In respect to atom variables, all these distribution functions can be defined exactly as in [5]. 

[34] In my previous papers thece functions were designated as V$_{k}$ in place of C$_{k}$ . 

[35] G.N. Bochkov and Yu.E. Kuzovlev, Sov.Phys.-JETP 45 , 125 (1977); 49 , 543 (1979); 52 , No. 12 (1980). 

[36] G.N. Bochkov and Yu.E. Kuzovlev, Physica A 106 443, 480 (1981). 

[37] Apparently, just such damaged equations are taken in mind as “hard-sphere BBGKY hierarchy” by amateurs of “Boltzmann hierarchy”. 

[38] May be, more careful and fine considerations like e.g. [32] will make this comprehensible to all. 

[39] M. Kac˙ Probability and related topics in physical sci- ences. Intersci. Publ., London, New York, 1957. 

[40] Yu. E. Kuzovlev, “Relaxation and 1/f-noise in phonon systems”, JETP, 84 (6), 1138 (1997). 

[41] Yu. E. Kuzovlev, Yu. V. Medvedev, and A. M. Grishin, JETP Letters 72 , No.11, 574 (2000). 

