PUBLICATIONS
1. V. Ya. Golodets and A. I.
Danilenko, Ergodic actions of
Abelian groups and properties of their joint actions, Teoriya
Funksii,
Funkts. Anal. i ikh Prilozh., 50(1988),
43--47 (in Russian),
transl. in J. Soviet Math., 49(1990), 1267--1269.
2.
S. I. Bezuglyi, V. Ya. Golodets and A. I. Danilenko, On
extension of 1-cocycles of dynamical systems on normalizer
elements, Dokl. Akad. Nauk UkrSSR, Ser. A, 1989, 3--5 (in
Russian).
3. V.
Ya. Golodets, A. I. Danilenko and S. I. Bezuglyi, On
cocycles of ergodic dynamical systems and automorphisms compatible with
them, Adv. in Soviet Math., 19(1994), 73--96.
4. A. I.
Danilenko, On cocycles
compatible with normalizers of
full groups of measure space transformations, Dop. Nats. Akad.
Nauk
Ukr., 1994, No 7, 14--17.
5. A. I.
Danilenko, The topological
structure of Polish groups
and groupoids of measure space transformations, Publ. RIMS Kyoto Univ.,
31(1995), 913--940 (download).
6. A. I. Danilenko, Garding domains
for unitary
representations of countable inductive limits of locally compact
groups, Matemat.
Fizika, Analiz, Geometriya, 3
(1996), 231--260 (download).
7. A. I.
Danilenko and V. Ya. Golodets, On extension of
cocycles
to normalizer elements, outer conjugacy and related problems, Trans.
Amer. Math. Soc., 348(1996),
4857--4882 (download).
8. A. I.
Danilenko, Comparison of
cocycles of measured
equivalence relation and lifting problems, Ergod.
Th. & Dyn.
Syst., 18(1998),
125--151 (download).
9. A. I.
Danilenko, On
non-coalescent ergodic skew products and
semigroups of their commutors, Dop. Nats. Akad. Nauk Ukr.,
1998,
No 9, 17--21.
10. A.
I. Danilenko, Quasinormal
subrelations of ergodic
equivalence relations, Proc.
Amer. Math. Soc., 126(1998),
3361--3370 (download).
11.
A. I. Danilenko, Endomorphisms of
measured equivalence
relations, cocycles with values in non locally compact groups and
applications, Ergod.
Th. & Dyn. Syst.,
19(1999),
571--590 (download).
12. A.
I. Danilenko and M. Lemanczyk, Isometric
extensions,
2-cocycles and ergodicity of skew products, Studia Math., 137 (1999), 123--142 (download).
13. A.
I. Danilenko, Point realization
of Boolean actions of
countable inductive limits of locally compact groups, Matemat. Fizika,
Analiz, Geometriya, 7(2000),
35-48 (download).
14. A.
I. Danilenko, On subrelations of
ergodic measured type III
equivalence relations, Colloq. Math. 84/85(2000), 13--22 (download).
15. A.
I. Danilenko and T. Hamachi, On measure
theoretical
analogues of the Takesaki structure theorem for type III factors,
Colloq. Math. 84/85(2000), 485--493 (download).
16. A.
I. Danilenko, On cocycles with
values in group extensions.
Generic results, Matemat.
Fizika, Analiz, Geometriya, 7(2000),
153--171 (download).
17. A.
I. Danilenko, Strong orbit
equivalence of locally compact
Cantor minimal systems, Internat. J.
Math., 12(2001),
113--123 (download).
18.
A. I. Danilenko, Funny rank-one weak
mixing for
nonsingular Abelian actions, Isr. J. Math., 121(2001), 29--54 (download).
19. A.
I. Danilenko, Entropy theory from
orbital point of view,
Monatsh.
Math., 134(2001),
121--141 (download).
20.
A. I. Danilenko and K. K. Park, Generators and
Bernoullian
factors for amenable actions and cocycles on their orbits, Ergod.
Th. & Dyn. Syst., 22(2002),
1715--1745 (download).
21.
A. I. Danilenko and C. E. Silva, Multiple and
polynomial
recurrence for abelian actions in infinite measure, J. London
Math.
Soc., 69(2004),
183--200 (download).
22.
A. I. Danilenko, Infinite rank one
actions and nonsingular
Chacon transformations, Illinois
J. Math., 48(2004),
769--786.
23. A.
I. Danilenko and M. Lemanczyk, A class of
multipliers for
$\cal W^\perp$, Isr. J. Math., 148(2005), 137--168 (download).
24. A.
I. Danilenko, Explicit solution
of Rokhlin's problem on
homogeneous spectrum and applications, Ergod.
Th. & Dyn.
Syst., 26(2006),
1467--1490 (download).
25. A.
I. Danilenko, Mixing
rank-one actions for infinite sums of
finite groups,
Isr. J. Math., 156(2006),
341--358 (download).
26.
A. I. Danilenko and C. E. Silva, Mixing rank-one
actions of locally compact Abelian groups, Ann.
Inst. H. Poincare',
Probab. Statist., to appear (download).
27.
A. I. Danilenko, On simplicity
concepts for ergodic
actions, J. d'Analyse
Math., to appear (download).