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Transfer Operators over Contracting Actions

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Abstract

We focus on cocycles over a contracting action. We study the spectral properties of the corresponding complex transfer operators for small values of the parameter.

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References

  1. Parry, W., Pollicott, M.: Zeta functions and the periodic orbit structure of hyperbolic dynamics. Astérisque 187–188 (1990)

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Benoist, Y., Quint, JF. (2016). Transfer Operators over Contracting Actions. In: Random Walks on Reductive Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 62. Springer, Cham. https://doi.org/10.1007/978-3-319-47721-3_11

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