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Diskretnaya Matematika
Tome 15 (2003)
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Sommaire du
Fascicule no. 1
Limit theorems for probabilities of large deviations of a Galton-Watson process
S. V. Nagaev
;
V. I. Vakhtel'
p. 3-27
On the asymptotic complexity of computing discrete logarithms in the field
$\operatorname{\mathit{GF}}(p)$
D. V. Matyukhin
p. 28-49
Covering runs in binary Markov sequences
L. Ja. Savel'ev
;
S. V. Balakin
;
B. V. Khromov
p. 50-76
On good pairs in edge-regular graphs
A. A. Makhnev
;
A. A. Vedenev
;
A. N. Kuznetsov
;
V. V. Nosov
p. 77-97
Synthesis and complexity of reliable schemes in the basis
$\{\,\vee,\bar{}\,\}$
with single-type constant faults at the inputs of elements
M. A. Alekhina
p. 98-109
Efficient recognition of the completeness of a system of automaton functions with a complete Boolean part
D. N. Babin
p. 110-130
An order-optimal method for the synthesis of a search operator in a class of automaton circuits of a special form
E. S. Bychenkova
p. 131-156
Sommaire du
Fascicule no. 2
Independent systems of automata in labyrinths
G. Kilibarda
;
V. B. Kudryavtsev
;
Š. M. Ušćumlić
p. 3-39
Estimation of the time required to organize a secret channel
A. A. Grusho
;
E. E. Timonina
p. 40-46
Public key distribution schemes based on a noncommutative group
M. A. Cherepnev
p. 47-51
On the complexity of recurring sequences
S. S. Marchenkov
p. 52-62
On a problem of V.\,G. Sprindzhuk
N. M. Khodzhaev
p. 63-82
Characteristic polynomials of multi-index transportation problems
V. N. Shevchenko
p. 83-88
Construction of maximally non-Hamiltonian graphs
P. V. Roldugin
p. 89-102
On generating triples of involutions of large sporadic groups
A. V. Timofeenko
p. 103-112
On the activity of cell circuits realising the system of all
O. V. Cheremisin
p. 113-122
On the number of invertible homogeneous structures
I. V. Kucherenko
p. 123-127
Limit theorems for the number of points of a given set covered by a random linear subspace
V. G. Mikhailov
p. 128-137
Random partitions of sets with a known number of blocks
A. N. Timashev
p. 138-148
On two chi-square-type statistics constructed from the frequencies of tuples of states of a multiple Markov chain
M. I. Tikhomirova
;
V. P. Chistyakov
p. 149-159
Sommaire du
Fascicule no. 3
Collectives of automata in labyrinths
G. Kilibarda
;
V. B. Kudryavtsev
;
Š. M. Ušćumlić
p. 3-39
Boolean reducibility
S. S. Marchenkov
p. 40-53
On the complexity of testing for the primality of a number by homogeneous structures
A. M. Stepanenkov
p. 54-65
On the properties of a special composition of automata
A. V. Babash
p. 66-75
On the distinguishability of states of automata
P. A. Panteleev
p. 76-90
Almost layer-finiteness of the periodic part of a group without involutions
V. I. Senashov
;
V. P. Shunkov
p. 91-104
The structure and methods of generation of closed classes of graphs
M. A. Iordanskii
p. 105-116
On asymptotic expansions for the distribution of the number of cycles in a random permutation
A. N. Timashev
p. 117-127
Limit distributions of the number of cycles of given length in a random permutation with a known number of cycles
E. V. Cherepanova
p. 128-144
The occurrence of a gigantic component in a random permutation with a known number of cycles
N. I. Kazimirov
p. 145-159
Sommaire du
Fascicule no. 4
Konstantin Konstantinovich Mardzhanishvili (on the centenary of his birth)
G. I. Arkhipov
;
V. F. Kolchin
;
Yu. I. Medvedev
;
S. M. Nikol'skii
;
M. P. Mineev
;
L. P. Postnikova
;
Yu. V. Prokhorov
;
V. N. Chubarikov
p. 3-6
Structural equivalence of
$s$
-tuples in random discrete sequences
V. G. Mikhailov
;
A. M. Shoitov
p. 7-34
Limit theorems and testing hypotheses on Markov chains
A. V. Nagaev
p. 35-65
On glueing states of an automaton
A. E. Kirnasov
p. 66-83
On the complexity of the string generation problem
A. S. Okhotin
p. 84-99
On complexity of realisation of linear Boolean functions by circuits of functional elements over the basis
I. C. Shkrebela
p. 100-112
On the complexity of unitary transformations
D. Yu. Cherukhin
p. 113-118
Inert matrices and matchings in partially oriented trees
V. A. Kolmykov
p. 119-125
On primitive subgroups of full affine groups of finite semi-fields
K. K. Shchukin
p. 126-132
A~semi on-line algorithm for the partition problem
E. Girlikh
;
M. M. Kovalev
;
V. M. Kotov
p. 133-140
On the number and structure of sum-free sets in a segment of positive integers
K. G. Omel'yanov
;
A. A. Sapozhenko
p. 141-147
On limit theorems for the generalised allocation scheme
A. V. Kolchin
p. 148-157