Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Quantum geometry of noncommutative Bernoulli shifts

100%

Alicki R.

Banach Center Publications

1998

tom 43

nr 1

25-29

We construct an example of a noncommutative dynamical system defined over a two dimensional noncommutative differential manifold with two positive Lyapunov exponents equal to ln d each. This dynamical system is isomorphic to the quantum Bernoulli shift on the half-chain with the quantum dynamical entropy equal to 2 ln d. This result can be interpreted as a noncommutative analog of the isomorphism between the classical one-sided Bernoulli shift and the expanding map of the circle and moreover as an example of the noncommutative Pesin theorem.

Ograniczanie wyników

1 Banach Center Publications

1 Alicki R.

1 1998

Wyniki wyszukiwania

Quantum geometry of noncommutative Bernoulli shifts