This article analyzes the relationship between geometric invariant structures in two-dimensional mixing systems and measure-theoretical properties associated with the spatial distribution of stable/unstable manifolds of periodic points. Specifically, a connection is established between the Bowen measure associated with the spatial distribution of periodic points and the w-measures characterizing the distribution of stable/unstable leaves throughout the mixing space. This result is made possible through the introduction of the concept of symmetric product of two measures.

Invariant structures and multifractal measures in 2d mixing systems / Giona, Massimiliano; Cerbelli, Stefano; Adrover, Alessandra. - STAMPA. - 3(2005), pp. 141-155. [10.1007/1-84628-048-6_10].

Invariant structures and multifractal measures in 2d mixing systems

GIONA, Massimiliano;CERBELLI, Stefano;ADROVER, Alessandra
2005

Abstract

This article analyzes the relationship between geometric invariant structures in two-dimensional mixing systems and measure-theoretical properties associated with the spatial distribution of stable/unstable manifolds of periodic points. Specifically, a connection is established between the Bowen measure associated with the spatial distribution of periodic points and the w-measures characterizing the distribution of stable/unstable leaves throughout the mixing space. This result is made possible through the introduction of the concept of symmetric product of two measures.
2005
FRACTALS IN ENGINEERING - New Trends in Theory and Applications
9781846280474
02 Pubblicazione su volume::02a Capitolo o Articolo
Invariant structures and multifractal measures in 2d mixing systems / Giona, Massimiliano; Cerbelli, Stefano; Adrover, Alessandra. - STAMPA. - 3(2005), pp. 141-155. [10.1007/1-84628-048-6_10].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/231524
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