Summary
We show the integrability of infinite dimensional Hamiltonian systems obtained by making isospectral deformations of random Jacobi operators over an abstract dynamical system. The time 1 map of these so called random Toda flows can be expressed by aQR decomposition.
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Knill, O. Isospectral deformations of random Jacobi operators. Commun.Math. Phys. 151, 403–426 (1993). https://doi.org/10.1007/BF02096774
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DOI: https://doi.org/10.1007/BF02096774