Geodesic
Ergodic properties of hyperbolic equations with mixing
Teoriâ veroâtnostej i ee primeneniâ, Tome 41 (1996) no. 3, pp. 505-519

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The paper proves the ergodicity of the phase flow of the Cauchy problem for wave equations with respect to the limit measure for statistical solutions of this problem under a mixing condition for the initial measure.
Keywords: Cauchy problem for the wave equation, statistical solutions, ergodicity of a flow. 
@article{TVP_1996_41_3_a1,
     author = {T. V. Dudnikova and A. I. Komech},
     title = {Ergodic properties of hyperbolic equations with mixing},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {505--519},
     publisher = {mathdoc},
     volume = {41},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1996_41_3_a1/}
}
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T. V. Dudnikova; A. I. Komech. Ergodic properties of hyperbolic equations with mixing. Teoriâ veroâtnostej i ee primeneniâ, Tome 41 (1996) no. 3, pp. 505-519. http://geodesic.mathdoc.fr/item/TVP_1996_41_3_a1/