應(yīng)yl7703永利官網(wǎng)王智誠教授的邀請，南京理工大學(xué)王婧教授將于2023年6月18日-6月20日與我校有關(guān)師生進(jìn)行在線學(xué)術(shù)研討，其中6月19日舉行專題學(xué)術(shù)報告。

報告題目: ABSOLUTE CONTINUITY OF THE INTEGRATED DENSITY OF STATES IN THE LOCALIZED REGIME

時 間：6月19日10:00.

地 點：城關(guān)校區(qū)理工樓 631室

報告摘要：We establish the absolute continuity of the integrated density of states (IDS) for quasi-periodic Schr\"odinger operators with a large trigonometric potential and Diophantine frequency. This addresses Eliasson's open problem in 2002, partially solving it. Furthermore, this result can be extended to a class of quasi-periodic long-range operators on $\ell^2(\Z^d)$. Our proof is based on stratified quantitative almost reducibility results of dual cocycles. Specifically, we establish that a generic analytic one-parameter family of cocycles, sufficiently close to constant coefficients, is reducible except for a zero Hausdorff dimension set of parameters. This result affirms Eliasson's conjecture in 2017. This is a joint work with X. Xu, Q. Zhou, and J. You.

歡迎廣大師生光臨!

報告人簡介

王婧，南京理工大學(xué)教授、博士生導(dǎo)師。主要從事擬周期動力系統(tǒng)方面的研究。在Adv. Math., Comm. Math. Phys., J. Differ. Equ., J. Funct. Anal., Trans. Amer. Math. Soc.等期刊發(fā)表論文多篇，先后主持國家自然科學(xué)基金青年項目和面上項目，青年科學(xué)家項目，以及江蘇省基礎(chǔ)研究計劃青年基金和優(yōu)秀青年基金項目，獲得第七屆“江蘇省數(shù)學(xué)成就獎”。

甘肅應(yīng)用數(shù)學(xué)中心

甘肅省高校應(yīng)用數(shù)學(xué)與復(fù)雜系統(tǒng)省級重點實驗室

yl7703永利官網(wǎng)

萃英學(xué)院

2023年6月15日