scholarly journals Quenched Decay of Correlations for One-dimensional Random Lorenz Maps

2022 ◽  
Author(s):  
Andrew Larkin
Keyword(s):  
Decay Of Correlations ◽  
Random Perturbations ◽  
Random System ◽  
One Dimensional ◽  
Correlation Decay ◽  
Small Random Perturbations ◽  
Exponential Rates ◽  
Lorenz Maps

AbstractWe study rates of mixing for small random perturbations of one-dimensional Lorenz maps. Using a random tower construction, we prove that, for Hölder observables, the random system admits exponential rates of quenched correlation decay.

Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps

1992 ◽  
Vol 12 (1) ◽  
pp. 13-37 ◽  
Author(s):  
Michael Benedicks ◽  
Lai-Sang Young
Keyword(s):  
Positive Measure ◽  
Invariant Measures ◽  
Random Perturbations ◽  
Continuous Invariant Measure ◽  
Absolutely Continuous ◽  
One Dimensional ◽  
Absolutely Continuous Invariant Measure ◽  
Small Random Perturbations ◽  
One Dimensional Maps ◽  
Absolutely Continuous Invariant

AbstractWe study the quadratic family and show that for a positive measure set of parameters the map has an absolutely continuous invariant measure that is stable under small random perturbations.

Small random perturbations of peano phenomena

Stochastics ◽  
1982 ◽  
Vol 6 (3-4) ◽  
pp. 279-292 ◽  
Author(s):  
R. Bafico ◽  
P. Baldi
Keyword(s):  
Random Perturbations ◽  
Small Random Perturbations
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