A smooth Gaussian-Kronecker diffeomorphism

Mostapha Benhenda (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

We construct a smooth Gaussian-Kronecker diffeomorphism $T$, on $\varmathbb{T} \times [0,1]^{\varmathbb{N}}$, where $[0,1]^{\varmathbb{N}}$ is the Hilbert cube. To obtain this diffeomorphism, we use transformations of the planar Brownian motion.

Mots clés: smooth diffeomorphisms: Hilbert cube; ergodic theory; Gaussian transformations; Kronecker

Domaines: Systèmes dynamiques [math.DS]

Mostapha Benhenda. A smooth Gaussian-Kronecker diffeomorphism. 2013. ⟨hal-00869084v2⟩