Mean Ergodicity of L1 Contractions and Pointwise Ergodic Theorems

1991 ◽  
pp. 113-126 ◽  
Author(s):  
Doan Çömez ◽  
Michael Lin
Keyword(s):  
Ergodic Theorems ◽  
Mean Ergodicity

UNIFORM ERGODIC THEOREMS ON APERIODIC LINEARLY REPETITIVE TILINGS AND APPLICATIONS

2008 ◽  
Vol 20 (05) ◽  
pp. 597-623 ◽  
Author(s):  
ADNENE BESBES
Keyword(s):  
Lattice Gas ◽  
Weak Form ◽  
Ergodic Theorems ◽  
Self Similarity ◽  
Lattice Gas Models

The paper is concerned with aperiodic linearly repetitive tilings. For such tilings, we establish a weak form of self-similarity that allows us to prove general (sub)additive ergodic theorems. Finally, we provide applications to the study of lattice gas models.

Mean ergodic theorems for Lorentz operators

2017 ◽  
Vol 80 (2) ◽  
pp. 153-159 ◽  
Author(s):  
Panagiotis N. Koumantos
Keyword(s):  
Ergodic Theorems
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