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Convergence of non-ergodic dynamical systems (1980)

Kallenberg, Olav

Springer

Probability theory and related fields 53 (1980), S. 329-351

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ISSN: 1432-2064

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary Let {T t} be a flow on a probability space (S,L,μ}) which describes the time evolution of a dynamical system with state space S, and interpret μ as the initial distribution of the system. Then the distribution of the system at time t is given by μT t −1 . Our aim is to study the asymptotic behavior of μT t −1 both in general and in the particular cases of random rate and almost periodic systems. The results seem to indicate that convergence or mean convergence is the normal behavior in the non-ergodic case.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00531442

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