Yunfeng Shi

activity

20172020

most citedHölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency

1 citations · 3 across the 5 of their papers we have counts for

collaborators

Showing math.SPShow all

3 papers · 1 filter

math.SP2020

A Multi-scale Analysis Proof of the Power-law Localization for Random Operators on $Z^{d}$

Yunfeng Shi

In this paper we give a multi-scale analysis proof of \textit{power-law} localization for random operators on $Z^{d}$ for \textit{arbitrary} $d \geq 1$ .

math.SP2017★ 1 cited

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…

math.SP2017★ 1 cited

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,…

A Multi-scale Analysis Proof of the Power-law Localization for Random Operators on Zd

Hölder continuity of the integrated density of states for Extended Harper's Model with Liouville frequency

Exponential Decay of the lengths of Spectral Gaps for Extended Harper's Model with Liouvillean Frequency

A Multi-scale Analysis Proof of the Power-law Localization for Random Operators on $Z^{d}$