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

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

Statistical properties of intermittent maps with unbounded derivative

CRISTADORO, GIAMPAOLO;
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
2010
G. Cristadoro, N. Haydn, P. Marie, S. Vaienti (2010). Statistical properties of intermittent maps with unbounded derivative. NONLINEARITY, 23, 1071-1095 [10.1088/0951-7715/23/5/003].
G. Cristadoro; N. Haydn; P. Marie; S. Vaienti
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/100885
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? 16
social impact