An explicit approach to the control of Lyapunov exponents

An explicit approach to the control of Lyapunov exponents

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Ilya Goldsheid, Queen Mary, University of London
Fine Hall 401

I shall discuss a new approach to the proof the exponential growth of products of random matrices. The classical Furstenberg's analysis relies on properties of infinite-dimensional unitary representations. The method I am going to discuss uses finite-dimensional representations and allows one to have a more explicit control over Lyapunov exponents.