32 citations · 101 across the 20 of their papers we have counts for
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Anderson localization for one-frequency quasi-periodic block operators with long-range interactions
Wenwen Jian, Yunfeng Shi, Xiaoping Yuan
In this paper, we study the quasi-periodic operators : where $$\vecψ=\{\vecψ_n\}\in\ell^2(\…
Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency
Wenwen Jian, Yunfeng Shi
In this paper, we study the non-self-dual extended Harper's model with a Liouville frequency. Based on the work of \cite{SY}, we show that the integrated density of states (IDS for…
Exponential Decay of the lengths of Spectral Gaps for Extended Harper's Model with Liouvillean Frequency
Yunfeng Shi, Xiaoping Yuan
In this paper, we study the non-self dual extended Harper's model with Liouvillean frequency. By establishing quantitative reducibility results together with the averaging method,…
Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies
Wencai Liu, Yunfeng Shi
We prove that the size of the spectral gaps of weakly coupled quasi-periodic Schrödinger operators with Liouville frequencies decays exponentially. As an application, we obtain the…
The Stability of Full Dimensional KAM tori for Nonlinear Schrödinger equation
Hongzi Cong, Jianjun Liu, Yunfeng Shi +1
In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., \textbf{229} (2005), no. 1, 62-94.] is stable in a very long time for 1D…