Notes on "Spectral Theory, Mixing and Transport"

Maurice Courbage (1)

1 MSC - Matière et Systèmes Complexes

The purpose of this paper is to survey shortly some notions in the spectral theory of ergodic dynamical systems and their relevance to mixing and weak mixing. In addition, we present some dynamical systems of particles submitted to collisions with nondispersive obstacles and their ergodic and spectral properties. Transport is formulated in terms of random walk generated by deterministic dynamical systems and their moments.

Mots clés: Lebesgue Measure; Central Limit Theorem; Spectral Measure; Zero Entropy; Random Walk

Domaines: Matière Molle [cond-mat.soft]

Maurice Courbage. Notes on "Spectral Theory, Mixing and Transport". Chaotic Dynamics and Transport in Classical and Quantum Systems, 182, Springer, pp.15-33, 2005, NATO Science Series, 978-1-4020-2945-5. ⟨10.1007/1-4020-2947-0_2⟩. ⟨hal-00016501⟩