Neshvyeyev S. Dynamical entropy in operator algebras and quantum Kolmogorov systems

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002063

Thesis Registration Form

0499U002063.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

08-06-1999

Specialized Academic Board

Д 64.175.01

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

Object of research: dynamical systems of quantum statistical mechanics. Goal of research: to find sufficient conditions for dynamical systems to be K-systems. Methods of research: operator algebras, ergodic theory. New theoretical results: the K-property for various quantum dynamical systems is proved, a continuum of pairwise non-conjugate non-Bernoullian K-systems with the same entropy on the III_1-factor is constructed.

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