Geodesic
On Higher Order Spectral Measures of Ergodic Stationary Processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 463-470

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In this paper some necessary conditions for the ergodicity of stationary processes belonging to the Fortet class [4] are given in terms of higher order spectral moments. These conditions lead to some new ergodic theorems for such processes and to the fact that certain spectral measures uniquely determine the corresponding processes. 
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     author = {Ya. G. Sinai},
     title = {On {Higher} {Order} {Spectral} {Measures} of {Ergodic} {Stationary} {Processes}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {8},
     number = {4},
     year = {1963},
     language = {ru},
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Ya. G. Sinai. On Higher Order Spectral Measures of Ergodic Stationary Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 8 (1963) no. 4, pp. 463-470. http://geodesic.mathdoc.fr/item/TVP_1963_8_4_a6/