Doubly Intermittent Full Branch Maps with Critical Points and Singularities

We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous probability measure, study its rate of decay of co...

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Bibliographic Details
Published in:Communications in mathematical physics 2023-09, Vol.402 (2), p.1845-1878
Main Authors: Coates, Douglas, Luzzatto, Stefano, Muhammad, Mubarak
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Critical point
Fixed points (mathematics)
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Summary:We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous probability measure, study its rate of decay of correlation and prove a number of limit theorems.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-023-04766-x