We study deterministic and random statistical properties of 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 (equivariant) mixing absolutely continuous probability measure, study its rate of decay of correlation and prove a number of limit theorems.

Doubly Intermittent Maps with Critical Points and Singularities / Muhammad, Mubarak. - (2022 Nov 30).

Doubly Intermittent Maps with Critical Points and Singularities

MUHAMMAD, MUBARAK
2022-11-30

Abstract

We study deterministic and random statistical properties of 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 (equivariant) mixing absolutely continuous probability measure, study its rate of decay of correlation and prove a number of limit theorems.
Luzzatto, Stefano
Muhammad, Mubarak
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/130330
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