Geodesic
Stabilization of Statistical Solutions for an Infinite Inhomogeneous Chain of Harmonic Oscillators
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 181-196

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An infinite inhomogeneous harmonic chain of particles with different force constants of interaction is considered. The large time behavior of distributions of the solutions to the Cauchy problem with random initial data is studied. The main result of the paper establishes the convergence of these distributions to a limiting measure. 
@article{TM_2020_308_a12,
     author = {T. V. Dudnikova},
     title = {Stabilization of {Statistical} {Solutions} for an {Infinite} {Inhomogeneous} {Chain} of {Harmonic} {Oscillators}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {181--196},
     publisher = {mathdoc},
     volume = {308},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2020_308_a12/}
}
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T. V. Dudnikova. Stabilization of Statistical Solutions for an Infinite Inhomogeneous Chain of Harmonic Oscillators. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 308 (2020), pp. 181-196. http://geodesic.mathdoc.fr/item/TM_2020_308_a12/