SCIENTIFIC ABSTRACT NAGAYEV, E.L. - NAGAYTSEV, V.
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S
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December 31, 1967
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SCIENTIFIC ABSTRACT
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ACCESSION NR: AP4028965
f AUMOR: Kagayev
S/0057/64/034/004/0745/0752
TITLE: Electric current in a gas-f illed diode with potential discontinuities at
the electrodes
ISOURCEt Zhurnal tolchnicheakoy ftziki, v.34, no.4. 1964, 745-752
.TOPIC TAGS: diode, gassy diode, cathode discontinuity, cathode drop, diode current,
gassy diode current, cathode drop diode current
ADSTRACT: The current in a diode containing a weakly ionized gas is calculated for
the case In which the plane electrodes are so close together that the electrons do
not have time to make significant progress toward thermal equilibrium with the gas.
The calculation is based on a kinetic equation for the electron distribution func-
tion in which volume ionization is neglected and only collisions with neutral atoms
.are included. Energy transfer in these collisions is neglected. The appropriate
,boundary condition at the cathode Is that the electrons leave with the Maxwellian!-)
velocity distribution corresponding to the temperature of the cathode. The kinetii
equation is first solved, however, with the boundary condition that the electrani
Card 1/4
ACCESSION NR: AP4028965
all leave the cathode with a fixed speed (but in the directions uniformly distribu-
ted over the hemisphere). This solution is affected, under the assumption that the
potential and the collision integral are both given functions of position, by a me-
thod employed in the theory of radiative transfer (E.Itopf.Mathematical problems of
radiative equilibrium, Cambridge .1934). The potential Is now assumed to be constant
in the Inter-electrode space, but in general to differ there from its value on the
cathode itself (cathode discontinuity). There results an expression for the electrai
distribution function as a functional of the collision integral, in which the ca-
thode potential drop and the speed of the electrons leaving the cathode appear as
parameters. Since the collision integral is in turn a functional of the distribu-
tion function, it can be determined from the condition that the two expressions be
consistent. It is now assumed that the scattering is isotropic, so thatithe colli-
sion integral is proportional to the electron density, and the consistency condition
is formulated as an integral equation for the density. A variation principle Is
found of which this integral equation is a consequence, and an approximate solution.
is obtained by the Ritz procedure with the assumption that the electron density is
a linear function of distance from the cathode. From this solution, the distribution
function Is obtained and the current is calculated. This to finally averaged over
the Maxwellian distribution of Initial electron speeds, giving an expression for
C,,d 2/4
ACCLSSION NR: AP4028965
the current as a function of cathode temperature, cathode drop, electron mean free
path, and electrode spacing. (I'ho electrode spacing enters via the boundary condi-
tion on the anode that electrons enter but do not leave this electrode.) When the
cathode drop is zoro, the current is nearly inversely proportional to the electrode
spacing, in agreement with results previously obtained for this case by B.YaJJoy-
zhes and G.Ye.Pilcus (M 2,756,1960). When the cathode drop is very large the cur-
rent approaches the Richardson emission of the cathode. For a fixed finite cathode
drop, the current depends the more strongly on the electrode spacing, the higher
the cathode temperature. The cathode drop itself is to be determined from the can-
dition of quasi-neutrality in the inter-electrode region. For this purpose the ion
density and current are described by the phenomenological equations of B.Ya.Moyzhes
and G.Ye.Pikus (loc.cit.). These equations involve the electric field in the inter-
electrode region, which was assumed to vanish in the calculation of the electron
distribution. If it is not possible to find a value of the cathode drop for which
the charge density and electric field are both small, it enn be concluded that the
assumption of constant potential was not adequate. "In conclusion the author ex-
pre&ses his gratitude to I.A.Zaydenman for his constant interest In the work. The
author is also grateful to ALI.Kaganov, R.Ya.Kucherov and L.N.Pikenglaz for mading
the manuscript and for critical comments." OrIg.art.hass 38 formulas.
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ACCESSION NR: AP4028965
:ASSOCIATIONi none
smui 02Feb63 DATE ACQi 28Apr64 EXCL: 00
SUB CME: Pit, GE NR REP SOV: 003 MM: 002
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-L-359a--6
ACCESSUM Us u,5024042
to be a linear function of distance from the cathode except at the two electrodes
themselvesp where it
is discontinuous The kinetic equation is solved by methods
tfiat~ are "discussed in more detall, In the paper cited above* The stability of the
solution 13 discussed.in the diffusion approximation with electron-electron coUis-
1onaltakenAnto accountp and stability conditions are derived* The ion distribu-
tion-la discusiedliM a pmcedike- to devfsid whereby one can calculate the current-
voltage ci~iiiteristic of. the dodos, The beam Instability of the plasma was no-
glect.ode Although-this effect prdvides'the predominant mechanism for the estab-
lishment of a_Niawal,electiron ~veloaty distribution:when the cathode potential
drop lw.very greatq It. appsm:.'to be of secondary importance In cesium diodes.
Origs arts has a 44 foil
ASSOCIATUM none
`SU "OME2 ME* Lrc-,--
~SUBMiTTEN.:-.3MOS EWU (D B
No IMF Swe
C. y
n. mechrInism unde! I nr chaul? 1,,r er, rfry
=7,.'~66_ ~ EWT(L)/T.. IJP(C) AT
ACC NRt APS025383 SOURCE CODE! UR/0181/65/007/010/3033/3041
AUTHOR: Naxavoys-E,
of Current Sources, Moscow (Vassoy iyy
k
~,nauch issledowatel's. Ly institut.1stachniko* toka)
g) fill, k;
TITtS.- '_'..Spin. mechanism of charge and enemy transfer. Antiferr aghetic and para-
magn et .ic states
V. 7, no. 10, 1965, 3033-3041
..-TOPIC- TAGS: theoretic physics,-antiferromagnetic material, paramagnetic material,
energy band: structiato
ABSTRACT.-. The paper is a continuation of a previous work in which general expres-
sions. were-derived for the kinetic coefficients of a system of quasi-localized spins.
Them' Gus
author, uses, these previ' ly derived relationships for determining the kinetic
coetAcient's-Jot- materials in -which the spin mechanism may be responsible for energy
andt rge.transf4r. The results of these calculations indicate that conductivity
in the metallic state for almost all the compounds in this class is due to localized
d-eiectrons.' in other wards, these materials make the transition into the metallic
s,tAte..wLth~ut,:-fbmiog,d-bands.. The antiferronagnetie 3nd paramagnetic states are
~,cowidsred Individually. In the first.cass, primary consideration is given to scat-
~T, -26624-66 9N-e(l)/T IJP(el AT
C NR:. SOURCE CODE: UR/0181/65/007/010/29 69/2977
T-1 ~.AUTKM Nagayev 19. L.
ORG'- Al-laUni -n Research Insft :MXXMJt 1XIM
tute a QX -,AQV JVsesoyuz-
nyY nauchno-togledovatellskiy inst tut is ochnikov toka)
TITLE: On the. spin mechanism of charge and energy transfer, General relation-
ships
SOURCE: Fizika tverdogo tela, v. 7, no. 10, 1965, 2969-2977
TOPIC TAGS: transition element, kinetic -eqnixthm
ABSTR'ACT: A polar model of metal was used to describe the occurrence of trans-
fer in combinations of transition metals. The projection perturbation theor
y
was used. Formulas for kinetic coefficients through current correlators were
interpreted with the aid of the Bogolyubov technique in a subspace of quasihomo-
p6lar functions. A formula was derived for the deformed energy flux of electrons,'.
which replaces true energy flux in the subspace of quasihomopolar functions. it
was indicated that energy transfer Is carried out by virtual pairs and vacancies.1
Because of exchange interaction, energy transfer is absent. It was also :h&cated~
that Herring's criticism C. Herring (Phys. Rev., 87, 60, 1952.) of the
Card 1 2
ard 1/2
C
MAGATU, German Danilovich; PGLTAKOV, N.V., red.; BUKOVSKATA, N.A..
tekhn.red.
(Designer Shpagial lonstruktor Shpagin. Moskva, Voon.lzd-vo
X-va obor.SSSR, 1960. 139 P. (MIRA 13:11)
(Mpagin, Georgii Somenovich, 1897-1952)
VORONOV, I.S., gorny-y inzh.; KOVAIXNKO, V.A., gorny-y inzh.; BE.rmv,
P.Ye., gornyy inzh.; MATUYIN, V.P., garnyy !nzh.; -NAGAYFI.1,
Mr.
Kh.Kh., gormyy lnzh.; SHMA-KOV, garnyy fnzh.; =':~ 7--l. t%)
gornyy inzh.
Conveying and loading ore with a v','brating feeder. Gor.
zhur. no.8:29-31 kg '64. ~MIRA
NAG7yV alk %-, ~ -.'I P , ." . A.
- ,V $ M.F., !:, V.; ~ , - 1~ I .
Theznr~r oC rea-t r.3 -p~:-aCng t.,.a~ re~-y--, t-p c n-
centrat-Irin ~,-r&d`ent. Azerb. zhur. no.5--,-'--F4 'r,3
(. 1--.F. )
YAQAY31Y, Mikolay Illich; SHIBANOT, S.T.. redaktor; PEDOSOVA, N.I., redaktor;
%ftWMVrAVIMVX"V4 GLIMOVA, L.A., tokhnicheakiy redaktor
[Hunting ermine mink. and polecatB] Promysel gornostata, kolonka I
khorLa. Pod red. S.Y.Shibanova. Rofikya, Zzd-vo tekhn. i skon. lit-ry
po voprosam zagotovoic, 1956. 35 P. (KLRA 9:10)
(Trapping)
_Y49AUX,!IkQlay-~~SHIUMOV, S-V., red.; SHVETSOV, V.G.,,
red.izd-v-a; SOTNIKOVA, N.F., tokhn. red.
(Trapping fur-bearing animals) Kapkannyi promysel puabnykb
zverei. Koskva, Izd-vo TSentrosoiuza, 1962. 65 p.
(MIRA 16:5)
(Trapping)
NAGATEV, P.V.. laureat Stalinskoy premil; LICHENKOV, I.M.
Using a spherical chamber in the piBton of a four-cycle engine with self-
ignition. Avt.trakt.prou.no.5:16-20 My '53. (KLRA 6:5)
1. Hauchnyy avtomotornyy inatitut. (Gas and oil engines)
KISELEV, B.A., inzh.; UPGART, A.A., otv.red.; PASHIN, M.A., red.; BORISOV,
3.G., red.; BRISKIN, M.I., red.; HPYZG(YV, N.N., red.; DYPOV, O.V.,
red.; ZILIBERBERG, Ya.G., red.; LOURI, A.S., red.; LUW11, 1.3.,
red.; NAGAYEV P.V red.; PEVZNER, Ya.M., red.; PRYADILOV, V.I.,
red.; iiiiff~g:: red.; SAJ4DL- , G.I., red.; SEDOVA, Ye.v. , red.;
TAMRUCHI, O.V., red.; CHAPKEVICH, V.A., red.; CHISTOZVONOV, S.B.,
red.; SHKOLINIKOV, E.M., red.; SMIRNOVA, G.V., takhn.red.
[Investigation of the operation and gas-exchange of a loop-scavenged
two-cycle motor-vehicle diesel engine] Issledovanie rabochego
protsessa i gazoobmena dyukhtaktnogo avtomobilnogo dizelia s
petlevoi proAuvkoi. Moskva, Mashgiz, 1961. ~93 p. (Moskow.
Gosudarstyennyi nauchno-issledovatellskii avtomobillny-i i
avtomotornyi institut. Trudy, no.307. (MIRA 16:8)
(Motor vehicles-Engines)
MAGAYEV, R.F. (Leningrad)
Dynamics of a vabratory machine having a beam-type vibrating
element. Izv.AN SSSR.Otd.tekh.nauk.Mekh.i mashinostr, no.13
(MIRA 1622)
18-23 Ja-F 163.
(Vibrators)
NAGAYEVP R.F. (lAningrad)
Dynamics of a vibrator-
y percussion crusher with a pair of seLf-
synchronizing vibrators. Izv.AN SSSR.Mekh. i mashinostr. no.5:
46-53 S-0 163. (MIRA l6tl2)
NAGAYEV.-R.F.
Natural vibrations of a rectangular perforated plate. Trudy
LPI no.226:117-122 163. (MIRA 1b:9)
(Elastic plates and shells-Vibration)
ACCESSION: A?4027581 S/0040/64/028/002/0216/0220
AUTHOR: Nagayev, R. F. (Leningrad)
TILOLE: Internal synchronization of almost identical dynamic objects under the
influence of weak linear relations
SOURCE: Prikladnaya matematika i moklianika, v. 28., no. 22 1964, 216-220
TOPIC TAGS: synchronization, dynamic object, weak linear relation, stability,
s I otion, generating phase, harmonious functioning, coinciding param-
,rc,ronous m
ers, coinciding periods
ABSTRACT: The author studies the general case of almost identical objects
synchronized under the influence of weak linear relations. He obtains conditions
for existence and stability of synchronous motions and equations for deteniiining
"generating phases". One sp"ks of synchronous motion of objects in a system when
the basic parameters., which characterize the rhythm of motion, coincide. For
periodic motion, one is concerned with coinciding of the periods. The author
distinguishes weak and strong relations between objects, which influence their
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.Acassio NR: AP4027581
motion, and lie is basically interested in weak relations with small influence,
having little affect on deforming the nature of the motion. In order to achieve
synchronous motion, the variables characterizing the degree of synchronization of
the system must be of the same order of smallness as the parameter reflecting the
"strength" of the relations. This condition is best satisfied by systems of almost
identical objects. Orig. art. has: 29 formulas.
ASSWIATIO14: none
suB=En: 24octo'3
SUB CODE: PH, 1-ki
DATE ACQ: 28Apr64
NO R12- SOV s 002
ENICL: 00
OTHER: 001
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.iw
ACCESSION Nis Ap4o4o573
S/0040/64/026/003/0483/0492
AUTHOR. Nagayev, R. F. (LeniWad)
TIMIE: Synchronization of almost identical dynamic system clo4ie to Lyapunov
systems
SOURCE: Prikladnaya matematika i mekhanika, v. 28, no. 3, 1964, 463- 492
TOPIC TAGSs synchronization, dynamic system, Lyapunov system, perturbation,
stability
ABSTRACT: The author assumes Thai the motion of an isolated object is described
by a system of differential equations close to a Lyapunov system. In order to be
able to adjust an object to the frequency of an exterior periodic perturbation
transmitted to the object with the help of a weak connection, it is raquired only
that this frequency be included in the frequency range of the isolated object. For
interior synchronization, i.e., synchronization of an autonomous (on the whole)
mutually connected system of objects, intersection of their frequency ranges is
naturally required. Apparently the tendency to synchronization is stronger for
system of such objects. The author studies the problem in general formulation
Card 1/2
AccEssioN NR: AP404o573
for the case of almost identical objects, deriving conditions for existence and
necessary conditions for stability of synchronous conditions., He obtains results
which he then uses to study synchronization and autophasing systems of almost
conservative objects established on a carrying body of rather general form. He
establishes a generalized integral criterion of stability which is applicable to
such a sys tem. Orig. art. has t 70 f ormlas.
ASSOCIATION: none
simaTTED: o2mar64 DATE ACQ: 19Jun64 FML: 00
SUB COD33 MA NO REF SOV: 007 OTAM: 000
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9~ ~~a6;
ASSOCIMON
NO REF
none
mati 00
777
~.
06
z -i
L 1785!~-66 9wT(m)/zTa(v0-6/LTP(w) iip(c) Em/ww
ACC NRV,~ 004 SOURCE CODE:
AUTHOR,: Nagayevo R, pe (Leningrad)
ORG: none
TITLE:, The-general problem on synchronization in a nearly conservative system
SOURCE: _Prikla"a.matesatika i nekhanikag v. 29# no- 5, 19651 Sol-809
TOPIC TAGS: dynamic, system, kinetic energy, Lagrange equation, conservative
system, system synchronizations vector, potential energy# motion equation
;-ABSTRACT.- The jk~bleu of synchronization in a nearly conservative system of weakly
linke&dynamio objects from maximally generalized positions is studied. The system
consists of k 4niimi objects; the movement of the i4l object in the system is
characterize& first -of all
x 1 column vector of partial general coordinates
(qilo qt,)..
The form of dppendency.of the dynamic characteristics of an object on generalized
coordinates and-Velooities is invariant with respect to the type of linkage.
Kinetio~snergy. aexpri
4 eased as
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_7!77~ 7
L .17855-66
ACC M
"inertial" matrix. Using 17i to denote
where A Is: a symotAo (A, ki
JL
potential "*ra.- and. x to denote a supplementary coordinate vector, the author
amasses kinetid and potential energies in the system as
TO T, + AT~,. W Ui +AR*
where
AT*
%"Ain (36. q) IC +x~'A. (x, q) jC, AW x'C (q, vt) +
Critej4a airel develb lo the at -ength of.interactions between objects., The
,p4d
"WeWM668 vfInteractibn is studied through the introduction of a linkage parameter
whichlis,tero4orobjects in the system which are considered isolated. This
parazeter,14:.used in expressions for the inertial and dynamic characteristics of
of system motion are developed in the Rauss form. The
pig; pjA,~Ipt + p,'Ai-!AJ- +
2
+ T- I- "N _Yj pj'Ai-IN4y'z
Yj pcAi-I?(j;Ai-IpJ + 10...
i and the Rause kinatio potential. In
A.- QLVdV
L 1~8Ti~
ACC M AP609404
+ + +
A Lagrangeequation is used in exprescine, the motion of a mutually linked system of
tobjecid' in Ra4iss: formO A gener .al casn where all objects in a generating approxima-
;-tion are essentially nonisochronous it; developed, and the stability and properties
he ay han
i -oft nchronous state are discussed. A simple example of two mee ical
Ivibrators in:wmeontri'd rotation is given. Orig. art. has: 41 equations.
Afts 02Apr65/ ORIG REF: 005
Card 3/3 sat
BENYAKOVSKIY, M.i.; GUTN-;K, M.V.; TGROIN, G.M.; BUTTLKINA, L.I.;
I
REUTOV, Yu.G.; SHTKfj,,,.jjCI.TICTj
I , B.A.; Fi-NY, 1F.A.; NPIGATEV, S.A.
Mastering the operat-fon )f the p1ant for cold-rolled sheet production.
Stall 25 no.8:726-730 Ag 165. (RIWi 18:8)
1. Cherepovetskiy metallurgicheskLy zavod.
NAGAYEV, S. ;hys-Dlath Sci-- (diss) "Certain limiting
V., Cand
theorems for homogeneous eir-cu-i-t4Zi"rk4~yJ." Tashkent,
Publishing House(Acad Sci UZSBR,1957. 8 pp. (Central Asian
State U im V.I. Lenin. Phys-Math Faculty.) 150 copies.
(KL, 12-58, 96)
,YrvOjje,6v
-13-
kUTHOR: NaGayev, S. V. (Tashkent) sov/52-2-4-1/7
TITLE: Sorie Lirtit Theoreas for Stationary blarkov Chains
(Nekatoriye predel' nyye teoreay dlya odnorodnykh tsepey
Markova.)
PERIODICAL: Teoriya Veroyatnostey i yeye Primeneniya, 1957, Vol-II,
Nr.4, pp-389-416. (USSR).
ABSTRACT: Let X be the space of points 1~ and FX the a-al:rebra
U 6
of its subsets. Let P( '41 A), X? A FX1
be the transition probability function. For fixed
the function p( ~,, A) is a probability measure, and
for fixed A it is mteasurable over Fl. The transition
probability for n steps, p(n)( ~, A) is calculated
frork the formula
pn( ~,A) = P (n-1) (Tl,jl)p( -~,dTj)- (Eq-0.1)
If the initial probability distribution is -T(.), then
-Card 1/6 p( -, .) defines sequences of randont quantities
BOV/52-2-4-1/7
SoEte LirLit Theorems for Stationary Markov Chains.
xjlx 21 ... 7xnj...'
which are connected in a homogeneous Markov chain, and
Pr (Ml ( A -r' (A ) ,
Pr (Xn A ) = p ;,A) T (d (EqX~2)
x
Let f(:~ ) be a real function defined on X and
measurable over FXI and let F UW be the distribution
function of the sun
Sn = B Zf(xi) - A., (Eq.0.3)
1
where An and B. > 0 are constants. As in the
study of sums of independent identically distributed
random quantities there arises the question of the
Card 2/6 conditions under which the sequence F,(x) converges
SUV/52-2-4-1/7
Some Limit Theorems for Stationary tiarkov Chains.
and the law by which it converges. But if for
independent random quantities this problem is completely
solved, in the case of rand,-)m quantities related in a
homogeneous Markov chain this is far from being the case.
The investigation is complicated because the behaviour
of F U(x) depends on the ergodic properties of the chain.
In order to simplify the problem it is necessary to study
the chain with sufficiently strongly expressed ergodic
properties. The conditions which are sufficient for the
truth of the central limit theorem have been most fully
investiGated. Markov hiaself proved the central lirzit
tneorem for throe suates under tiie condition when all
transition probabilities were positive. Deblin (Ref.3)
proved the central limit theorem for arbitrary sets of
states under the assum;,,.,tion that f(~ ) vras bounded but
imposed certain lestrictions or, the transition probability
function. Doob (Ref.12) and Dynkin (Ref.11) replaced
the lLaitation on f( ~) by the assumption that for
Card 3/6 some 6 > 0 -.he folloviing (wrongly marked 0.3 in the, t-exxt)
5 OV/ 52 -;:~ -4 - 1/ 7
'Some Liait '2heorems for StatiDnary Markov Chainc.
If (~ )I 2+1p (df
0. ]z 2)
X
hold5 where p(.) is 6he 3tationary probability
distribution corresponding to p(...). Debli-ri proved
that in the case of an even chain it is possible to
reduce the study of suus of the form Eq.0.3(l) to the
study of suas of irLdependent identi~all-
y d4stributed
L
Trandom quaa-,~ities. Deblin's method T)ermits r-he assertion
that for a definite class of even chains a set C-If T)ozs_''1_,1e
1LAiting laws coincides with the sez of sta_~~Ie The
stable laws for the number of instances of a fixed stetp
of an even chain were obtained by Feller Al s
important is the study of the conditions Undev w.A,,~h trie
local li"it theorefa is true. '-this theoreri was proved
foi, finite ciiains by Kolaogorov (Ref.9), usinc-, Deblinc
method. Considerable attention has b-~en oon:-~~ntrated
Card 4/6 on shorteninG the liait theorems. IS i ra zhd in, ~T (" R e t' . 10
SOV/52-2-4-1/7
Some Uait Theorems for Stationary Markov Chains.
obtained a shortening of a local and integral liait
theorems for a finite number of states. The present
paper consists of three chapters: in the first cLapter
the asyaptotic properties of the characteristic function
of a suia of randoia quantities connected in a homogeneous
Markov chain are studied. In the second chapter the
convergence to the normal Law and to a stable law which
is different from the normal is studied. In the third
chapter the local limit theorem is proved and asymptotic.
expansions are obtained. The method of characteristic
functions is the basic method used in the investiCations
of this paper. The central limit theorem is proved
'under the assimption that
f'(4)p(d.~
There are sixteen references, of which 9 are Soviet,
Card 5/6 5 French and 2 American.
SUV/52-2-4-1/7
Some Liikit T"heoreas for Stationary T,;arkov Chains.
STJ13hd.L"2r,-D: JurLe 25, 1957.
1. Perturbation theory 2. Mathematics-Theory
3. Topology
Card 6/6
AUTHOR: Nagayev, S.V., 20-2-10/62
TITLE: 0:1 Some Boundary-Value Theorews for Homogeneous Markov Chains
(0 nekotorykh predellnjkh teoremakh dlya odnorodnykh tsi~pey dMarkova)
P~,;A 1GLICAL: i,u1,.1ady 'kad.Nauk SSSR, 1957, Vol- 115, Nr 2, Pp. 237-239 (USSR)
ABSTRA;,'T. I---,
The abstract space X and the 6-algebra ~x of its sub-sets be assLA-
ined. P( A) X,A be a function of the transit.on probabil-
iti A c~,rtl stationary distribution of th4probabilities p(A)
may apply here, so that in the case of certain Q