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“ϊŽžF2022”N4ŒŽ15“ϊ(‹ΰ)16:00-

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‘θ–ځFStability of the Lyapunov exponent generated by the Fibonacci substitution sequence

ŠT—vFWe consider a one-parameter family of the Lyapunov exponent generated by the Fibonacci substitution sequence, and show that the uniform hyperbolicity is equivalent to the harmonicity of the Lyapunov exponent. This problem is motivated by the fact that the resolvent set of the Fibonacci Hamiltonian, which is a one-dimensional quasicrystal model, coincides with the set that the associated Lyapunov exponent is harmonic. This is work in progress.