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Random product of quasi-periodic cocycles

math.DS · 2019-07-01 · unverdicted · novelty 5.0

For random products of quasi-periodic cocycles, a C0-open and Cr-dense set in SL(2,R) has positive Lyapunov exponent and is a continuity point; for GL(d) with one diagonal cocycle, a Cr-dense set has simple spectrum and continuity.

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  • Random product of quasi-periodic cocycles math.DS · 2019-07-01 · unverdicted · none · ref 20

    For random products of quasi-periodic cocycles, a C0-open and Cr-dense set in SL(2,R) has positive Lyapunov exponent and is a continuity point; for GL(d) with one diagonal cocycle, a Cr-dense set has simple spectrum and continuity.