id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-449	Tao, Kai	Non-perturbative positivity and weak Holder continuity of Lyapunov exponent of analytic quasi-periodic Jacobi cocycles defined on a high dimension torus	2020	14	.pdf	application/pdf	5298	291	82	There exists an N0 := N0(λv, a) such that for any N > N0, E ∈ E , x2 ∈ T and DN ω1, it holds meas { x1 ∈ T : 1 N | N∑ j=1 Fixing x2, E ∈ E and λ > λ0 with κ = 1 100 , we expand uan into its Fourier series of x1 and denote the Fourier coefficient as ûan(k, x2, E, λ), i.e., uan(x,E, λ) = ∑ k∈Z ûan(k, x2, E, λ)e2πikx1 , ûan(k, x2, E, λ) = ∫ x1∈T uan(x1, x2, E, λ)e−2πikx1dx1.	cache/ejde-449.pdf	txt/ejde-449.txt