Abstract
The index of exponential growth is found for the products of random matrices with values on a solvable Lie algebra. The result is expressed via the eigenvalues of the terms.
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References
Yu. A. Bakhturin,Identities on the Lie Algebras [in Russian], Nauka, Moscow (1985).
A. S. Chani, “The index of exponential growth for a class of stochastic semigroups,”Teoriya Sluchainykh Protsessov, Issue 16, 78–84 (1988).
I. I. Gikhman, A. V. Skorokhod, and M. I. Yadrenko,Probability Theory and Mathematical Statistics [in Russian], Vyshcha Shkola, Kiev (1988).
E. Hille and R. S. Phillips,Functional Analysis and Semigroups, American Mathematical Society, Providence, R. I. (1957).
M. Loéve,Probability Theory, Van Nostrand, Princeton (1960).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 1045–1048, July, 1993.
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Chani, A.S. Asymptotic behavior of the products of random matrices with values on a solvable Lie algebra. Ukr Math J 45, 1166–1169 (1993). https://doi.org/10.1007/BF01057462
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DOI: https://doi.org/10.1007/BF01057462