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For a class of piecewise convex maps f on the interval , we show that f has a unique absolutely continuous invariant probability measure μ with exponential decay of correlations,… Click to show full abstract
For a class of piecewise convex maps f on the interval , we show that f has a unique absolutely continuous invariant probability measure μ with exponential decay of correlations, and we also present the explicit upper bounds on the rate. Moreover, we show the exponential loss of memory for a sequential dynamical system consisting of piecewise convex maps.
Keywords:
convex;
correlations memory;
decay correlations;
convex maps;
loss
Journal Title: Dynamical Systems
Year Published: 2021
Link to full text (if available)
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Journal Title: Dynamical Systems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!