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edited Nov 11, 2014 at 12:03

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ds.dynamical-systems measure-theory ergodic-theory

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edited Oct 30, 2014 at 18:14

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asked Oct 30, 2014 at 18:06

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Is it possible to define the density of the logistic map for $x<0$?

Probability density functions (PDF's) have inherent connections to the field of Dynamical Systems.

The motivation for this question can be found in: http://www.stat.cmu.edu/~cshalizi/754/2006/notes/solutions-2.pdf for the logistic map when $x∈[0,1]$.

My question is:

Is it possible to define the density of the logistic map for $x<0$ where the map convegres to $-∞$?

ds.dynamical-systems measure-theory