Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot

• Autorzy: Jean-Paul Thouvenot
• Języki publikacji: FR EN

Abstrakty

EN

We prove that simple transformations are disjoint from those which are infinitely divisible and embeddable in a flow. This is a reinforcement of a previous result of A. del Junco and M. Lemańczyk [1] who showed that simple transformations are disjoint from Gaussian processes.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 2
• Strony: 481-483

Daty

wydano

2000

otrzymano

1999-09-22

Twórcy

autor

Jean-Paul Thouvenot

• Laboratoire de Probabilité, Université Paris VI, Tour 56, 4, Place Jussieu, 75 230 Paris Cedex 05, France

Bibliografia

• [1] A. del Junco and M. Lemańczyk, Simple systems are disjoint from Gaussian systems, Studia Math. 133 (1999), 249-256.
• [2] A. Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynam. Systems 7 (1987), 531-557.
• [3] E. Glasner, B. Host and D. Rudolph, Simple systems and their higher order self-joinings, Israel J. Math. 78 (1992), 131-142.
• [4] J. King and J.-P. Thouvenot, A canonical structure theorem for finite joining rank maps, J. Anal. Math. 56 (1991), 211-230.
• [5] J.-P. Thouvenot, Some properties and applications of joinings in ergodic theory, in: Ergodic Theory and its Connections with Harmonic Analysis, London Math. Soc. Lecture Note Ser. 205, Cambridge Univ. Press, 1995, 207-235.