Invariant Measures and a Weak Shadowing Condition

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Date

2012

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Pontificia Universidad Católica del Perú

Abstract

Revisamos el concepto de medida invariante y estudiamos condiciones bajo las cuales combinaciones lineales de promedios a lo largo de órbitas periódicas son densas en el espacio de medidas invariantes.
We review the concept of invariant measure and study conditions under which linear combinations of averages along periodic orbits are dense in the space of invariant measures.

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Keywords

Ergodic Theory, Invariant Measures, Shadowing Of Orbits, Teoría Ergódica, Medidas Invariantes, Persecución de Órbitas

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