INVESTIGADORES
DE MICCO Luciana
congresos y reuniones científicas
Título:
Deterministic or Stochastic? An Information Theory Approach
Autor/es:
H. A. LARRONDO; L. DE MICCO
Lugar:
La Plata
Reunión:
Workshop; Workshop de Mecánica Estadística; 2007
Institución organizadora:
INSTITUTO DE FÍSICA LA PLATA (UNLP-CONICET)
Resumen:
Deterministic chaotic systems share with truly stochastic processes several properties that make them almost undistinguishable. In this communication we introduce a representation space, to be called the MPR causality plane. Its horizontal and vertical axis are suitable functionals of the pertinent probability distribution, namely, the entropy of the system and an appropriate statistical complexity measure, respectively. These two functionals are evaluated using the Bandt and Pompe recipe: to assign a probability distribution function to the time series generated by the system. Several stochastic and chaotic processes are analyzed so as to illustrate the approach. The main achievement of this communication is the possibility of clearly distinguishing between them in our representation space, something that is rather difficult otherwise.