Karpeshina, Yulia; Parnovski, Leonid; Shterenberg, Roman Ballistic transport for Schrödinger operators with quasi-periodic potentials. (English) Zbl 1465.81028 J. Math. Phys. 62, No. 5, Article ID 053504, 12 p. (2021). MSC: 81Q10 35Q41 PDFBibTeX XMLCite \textit{Y. Karpeshina} et al., J. Math. Phys. 62, No. 5, Article ID 053504, 12 p. (2021; Zbl 1465.81028) Full Text: DOI arXiv
Karpeshina, Yulia; Shterenberg, Roman Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. (English) Zbl 1442.35003 Memoirs of the American Mathematical Society 1239. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3543-1/pbk; 978-1-4704-5069-4/ebook). v, 139 p. (2019). MSC: 35-02 35J10 35P15 35P20 81Q05 81Q10 81Q15 37K55 47F05 PDFBibTeX XMLCite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1442.35003) Full Text: DOI arXiv
Karpeshina, Yulia; Lee, Young-Ran; Shterenberg, Roman; Stolz, Günter Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two. (English) Zbl 1371.35238 Commun. Math. Phys. 354, No. 1, 85-113 (2017). MSC: 35Q41 35P05 81Q10 PDFBibTeX XMLCite \textit{Y. Karpeshina} et al., Commun. Math. Phys. 354, No. 1, 85--113 (2017; Zbl 1371.35238) Full Text: DOI arXiv
Karpeshina, Yulia; Shterenberg, Roman Multiscale analysis in momentum space for quasi-periodic potential in dimension two. (English) Zbl 1292.81044 J. Math. Phys. 54, No. 7, 073507, 92 p. (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 81Q10 31A30 28A80 PDFBibTeX XMLCite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, J. Math. Phys. 54, No. 7, 073507, 92 p. (2013; Zbl 1292.81044) Full Text: DOI arXiv
Karpeshina, Yulia; Shterenberg, Roman Extended states for polyharmonic operators with quasi-periodic potentials in dimension two. (English) Zbl 1278.81078 J. Math. Phys. 53, No. 10, 103512, 8 p. (2012). MSC: 81Q10 31B30 33B10 PDFBibTeX XMLCite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, J. Math. Phys. 53, No. 10, 103512, 8 p. (2012; Zbl 1278.81078) Full Text: DOI arXiv