scholarly journals Measure rigidity for random dynamics on surfaces and related skew products

2017 ◽  
Vol 30 (4) ◽  
pp. 1055-1132 ◽  
Author(s):  
Aaron Brown ◽  
Federico Rodriguez Hertz
Keyword(s):  
Random Dynamics ◽  
Skew Products ◽  
Measure Rigidity

Avalanche dynamics

2016 ◽  
Vol 16 (02) ◽  
pp. 1660005 ◽  
Author(s):  
Manfred Denker ◽  
Anna Levina
Keyword(s):  
Invariant Measure ◽  
Group Actions ◽  
Neural Dynamics ◽  
Open Problems ◽  
Random Dynamics ◽  
Skew Products ◽  
Avalanche Dynamics ◽  
Finite Invariant Measure

The avalanche transformation as a model for avalanches in neural dynamics was introduced in [8] in 2008. Here we discuss this transformation in terms of group actions, random dynamics and skew products with a finite invariant measure. The results are based on [8]. Some open problems are mentioned.

Topological entropy of piecewise bimonotone skew products

2009 ◽  
Vol 15 (1) ◽  
pp. 53-69
Author(s):  
Franz Hofbauer ◽  
Peter Maličký ◽  
L'ubomír Snoha
Keyword(s):  
Topological Entropy ◽  
Skew Products
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