We study the ergodic and statistical properties of a class of maps of the circle and of the interval of Lorenz type which present indifferent fixed points and points with unbounded derivative. These maps have been previously investigated in the physics literature. We prove in particular that correlations decay polynomially, and that suitable Limit Theorems (convergence to Stable Laws or Central Limit Theorem) hold for H"older continuous observables. We moreover show that the return and hitting times are in the limit exponentially distributed

Cristadoro, G., Haydn, N., Marie, P., Vaienti, S. (2010). Statistical properties of intermittent maps with unbounded derivative. NONLINEARITY, 23(5), 1071-1095 [10.1088/0951-7715/23/5/003].

Statistical properties of intermittent maps with unbounded derivative

Cristadoro, G;
2010

Abstract

We study the ergodic and statistical properties of a class of maps of the circle and of the interval of Lorenz type which present indifferent fixed points and points with unbounded derivative. These maps have been previously investigated in the physics literature. We prove in particular that correlations decay polynomially, and that suitable Limit Theorems (convergence to Stable Laws or Central Limit Theorem) hold for H"older continuous observables. We moreover show that the return and hitting times are in the limit exponentially distributed
Articolo in rivista - Articolo scientifico
Ergodic Theory, Dynamical Systems, Stable Laws, Central Limit Theory, Long-Range Correlations;
English
2010
23
5
1071
1095
reserved
Cristadoro, G., Haydn, N., Marie, P., Vaienti, S. (2010). Statistical properties of intermittent maps with unbounded derivative. NONLINEARITY, 23(5), 1071-1095 [10.1088/0951-7715/23/5/003].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/185921
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