American Journal of Mathematics and Statistics

American Journal of Mathematics and Statistics is to publish well-written original research articles and studies describing the latest research and developments in the field of mathematics and statistics. This is a broad-based journal covering all branches of mathematics, statistics and interdisciplinary research.

Valentyn Golodets

Editorial Board Member of American Journal of Mathematics and Statistics

Professor, School of Mathematics, University of New South Wales, Australia

Research Areas

Ergodic Theory, Dynamical Systems, Entropy of Actions of Groups, Orbital Properties of Dynamical Systems

Education

1984Doctor of SciencesInstitute of Math. National Academy of Sciences of Ukraine, Kiev
1967Ph.DInst. Low Temp. Phys. & Eng., Kharkov
1963-1966PostgraduateInstitute for Low Temperature Physics and Engineering, National Academy of Ukraine, Kharkov, and Moscow State University
1959UndergraduateDiploma in Mathematics, Minsk State University

Experience

2001-presentProfessorial Visiting Fellow, University of New South Wales, Sydney, Australia
2001Professor, the same institute
1984-2001Leading Research Fellow, the same institute
1970-1984Senior Research Fellow, the same institute
1961-1963Institute for Low Temperature Physics & Engineering, Ukrainian National Academy Sciences, Kharkov
1966-1970Institute for Low Temperature Physics & Engineering, Ukrainian National Academy Sciences, Kharkov
1959-1961Junior Research Fellow, Institute of Biology, Byelorussian Academy of Sciences, Minsk

Publications: Conferences/Workshops/Symposiums/Journals/Books

[1]  On extensions of cocycles to normalizer elements, outer conjugacy and related problems, Trans. Amer. Math. Soc., 348 (1996), 4857-4882 (V. Ya. Golodets & A. I. Danilenko).
[2]  Dynamical entropy for Bogoliubov actions of free abelian groups on the CAR-algebra, Ergodic Theory and Dynamical Systems, (1997), 757-782 (S.I. Bezuglyi & V. Ya. Golodets).
[3]  Non-Bernoullian quantum K-systems, Commun. Math. Phys., 195 (1998), 213-232 (v. Ya. Golodets & S. V. Neshveyev).
[4]  Gibbs states for AF-algebras, J Math. Phys., 39 (1998), 6329-6344 (V. Ya. Golodets & S.V. Neshveyev).
[5]  Entropy of C*-dynamical systems defined by bitstreams, Ergodic Theory and Dynamical Systems, 18 (1998), 859-874 (V. Ya. Golodets & E. Stormer).
[6]  Generators and comparison of entropies of automorphisms of finite von Neumann algebras, Journal Functional Analysis, 164 (1999), 110-133 (V. Ya. Golodets & E. Stormer).
[7]  On conjugacy and isomorphism problem for stabilizers of ergodic Lie group actions, Ergodic Theory and Dynamical Systems, 19 (1999), 391-411 (V. Ya. Golodets & S. D. Sinel'shchikov).
[8]  Product cocycles and the approximate transitivity, Math. Phys., Analysis and Geom., 1 (1999), 331-365 (V. Ya. Golodets & A. M. Sokhet).
[9]  Dynamical entropy for Bogoliubov actions of torsion-free Abelian groups on the CAR-algebra, Ergodic Theory & Dynamical Systems, 20 (2000), 1-15 (V. Ya. Golodets & S. V. Neshveyev).
[10]  Orbit properties of pseudo-homoeomorphism groups of a perfect Polish space and their cocycles, London Math. Soc., Lecture Notes Ser. 277 (2000) "Descriptive Set Theory and Dynamical Systems", p.p. 211-229 (V. Ya. Golodets, V. M. Kulagin, S. D. Sinel'shchikov).
[11]  Complete positivity of entropy and non-Bernoullicity for transformation groups, Colloquium Math., Colloq. Math., 84/85 (2000), 421-429 (V. Ya. Golodets, S. D. Sinel'shchikov).
[12]  Entropy of automorphisms of II1-factors arising form the dynamical systems theory, Journal of Functional Analysis, 181, (2001), 14-28 (V. Ya. Golodets & S. V. Neshveyev).
[13]  On the entropy theory of finitely generated nilpotent group actions, Ergodic Theory and Dynamical Systems. 22 (2002), 1-25 (V. Ya. Golodets, S. D. Sinel'shchikov).
[14]  The spectrum of completely positive entropy actions of countable amenable groups, Journal of Functional Analysis, 196 (2002) 1-18 (A. H. Dooley, V. Ya. Golodets).
[15]  Weak equivalence of cocycles and Mackey action in generic dynamics, Qualitative Theory of Dynamical Systems, 4, (2003), 49-67 (V. Ya. Golodets, V. M. Kulagin).
[16]  Non-Bernoullian systems with completely positive entropy, Ergod.Th.&Dynam.Sys.28, (2008), 87-124 (A.H. Dooley, V. Ya. Golodets, D. Rudolph, S. D. Sinel'shchikov).
[17]  The geometric dimension of an equivalence relation and finite extensions of countable groups, Ergod.Th. & Dynam.Sys., 29, (2009), 1789-1814 (A.H. Dooley, V. Ya. Golodets).
[18]  On the entropy of actions of nilpotent Lie groups and their lattice subgroups, (December 2010), 46p., (A. H. Dooley, V.Ya. Golodets), (to appear).