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Rigorous estimates for the Lanford map 

The Lanford map is a simple example of a map of the interval given by Tx= 2x + 0.5 x (1-x) (mod 1). We use this as a test case to illustrate how certain natural characteristics (e.g., variance, linear response) can be rigorously estimated (with error estimates) using ideas from thermodynamic formalism. This is joint work with Oliver Jenkinson and Polina Vytnova.

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