Chaotic behavior of infinitely divisible processes
Studia Mathematica, Tome 115 (1995) no. 2, p. 109.
Voir la notice de l'article dans European Digital Mathematics Library
The hierarchy of chaotic properties of symmetric infinitely divisible stationary processes is studied in the language of their stochastic representation. The structure of the Musielak-Orlicz space in this representation is exploited here.
Classification :
28D10, 60G10, 46E30, 60E07
Mots-clés : infinitely divisible process, ergodicity and mixing, stationary process, stochastic representation, Musielak-Orlicz space, hierarchy of chaos, infinitely divisible processes, stationary processes
Mots-clés : infinitely divisible process, ergodicity and mixing, stationary process, stochastic representation, Musielak-Orlicz space, hierarchy of chaos, infinitely divisible processes, stationary processes
@article{STUMA_1995__115_2_216202, author = {S. Cambanis and K. Podg\'orski and A. Weron}, title = {Chaotic behavior of infinitely divisible processes}, journal = {Studia Mathematica}, pages = {109}, publisher = {mathdoc}, volume = {115}, number = {2}, year = {1995}, zbl = {0835.60008}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_2_216202/} }
S. Cambanis; K. Podgórski; A. Weron. Chaotic behavior of infinitely divisible processes. Studia Mathematica, Tome 115 (1995) no. 2, p. 109. https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_2_216202/