scholarly journals Entropy and the uniform mean ergodic theorem for a family of sets

2016 ◽  
Vol 369 (1) ◽  
pp. 605-622
Author(s):  
Terrence M. Adams ◽  
Andrew B. Nobel
Keyword(s):  
Ergodic Theorem ◽  
Mean Ergodic Theorem

Mean ergodic theorem in function symmetric spaces for infinite measure

2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Infinite Measure ◽  
Mean Ergodic Theorem

scholarly journals A mean ergodic theorem on vector spaces

1999 ◽  
Vol 12 (8) ◽  
pp. 61-64
Author(s):  
Ping-Kwan Tam ◽  
Kok-Keong Tan
Keyword(s):  
Ergodic Theorem ◽  
Vector Spaces ◽  
Mean Ergodic Theorem

scholarly journals Covariance function and ergodicity of asymptotically stationary random fields

1991 ◽  
Vol 44 (1) ◽  
pp. 49-62 ◽  
Author(s):  
V.V. Anh ◽  
K.E. Lunney
Keyword(s):  
Ergodic Theorem ◽  
Random Fields ◽  
Covariance Function ◽  
Spectral Representation ◽  
Second Order ◽  
Continuity Theorem ◽  
Mean Ergodic Theorem ◽  
Stationary Random Fields

A class of second-order asymptotically stationary random fields is shown to contain the class of almost harmonisable random fields. A continuity theorem which leads to the spectral representation for the covariance function of asymptotically stationary random fields is established. A mean ergodic theorem for the fields is also given. When stationarity is assumed, the results reduce to the well-known corresponding theorems for stationary random fields.

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