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The paper provides a new integral formula for the largest Lyapunov exponent of Gaussian matrices, which is valid in the real, complex and quaternion-valued cases.
Products of random matrices
H. Furstenberg and H. Kesten · 1960
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Noncommuting random products
Harry Furstenberg · 1963
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A multiplicative ergodic theorem. L
V. I. Oseledec · 1968
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A proof of O
M. S. Raghunathan · 1979
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Analyticity properties of the characterisic exponents of random matrix products
David Ruelle · 1979
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Characterisic exponents and invariant manifolds in H
David Ruelle · 1982
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The stability of large random matrices and their products
Joel E. Cohen and Charles M. Newman · 1984
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Characterisic exponents for a viscous fluid subjected to time dependent forces
David Ruelle · 1984
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Products of random matrices with applications to Schrodinger operators
P. Bougerol and J. Lacroix · 1985
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Frontiere de F
Y. Guivarch and A. Raugi · 1985
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Random Matrices and Their Applications
Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors · 1986
Cited alongside, same era.
Lyapunov exponents for some products of random matrices: Exact expressions and asymptotic distributions
C. M. Newman · 1986
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The distribution of L
Charles M. Newman · 1986
Cited alongside, same era.
Products of 2 x 2 2x2 random matrices
David Mannion · 1993
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Probability and Measure
Patrick Billingsley · 1995
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Lyapunov exponents for products of complex G
P. J. Forrester · 2001
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The norm of products of free random variables
V. Kargin · 2007
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Lyapunov exponents of free operators
V. Kargin · 2008
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Explicit invariant measures for products of random matrices
Jens Marklof, Yves Tourigny, and Lech Wolowski · 2008
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Domains of analytic continuation for the top L
Yuval Peres · 1992
Cited alongside, same era.
Maximal L
Mark Pollicott · 2010
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