Dyatlov, Semyon; Jin, Long; Nonnenmacher, Stéphane Control of eigenfunctions on surfaces of variable curvature. (English) Zbl 1487.58032 J. Am. Math. Soc. 35, No. 2, 361-465 (2022). Reviewer: Albert Luo (Edwardsville) MSC: 58J51 PDFBibTeX XMLCite \textit{S. Dyatlov} et al., J. Am. Math. Soc. 35, No. 2, 361--465 (2022; Zbl 1487.58032) Full Text: DOI arXiv
Dyatlov, Semyon An introduction to fractal uncertainty principle. (English) Zbl 1432.81034 J. Math. Phys. 60, No. 8, 081505, 31 p. (2019). Reviewer: Vatsal Dwivedi (Köln) MSC: 81Q50 81S07 81Q35 35P30 58C40 PDFBibTeX XMLCite \textit{S. Dyatlov}, J. Math. Phys. 60, No. 8, 081505, 31 p. (2019; Zbl 1432.81034) Full Text: DOI arXiv
Bourgain, Jean; Dyatlov, Semyon Spectral gaps without the pressure condition. (English) Zbl 1392.37065 Ann. Math. (2) 187, No. 3, 825-867 (2018). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 37K25 37K15 37C30 30D60 35B34 35P05 35R01 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{S. Dyatlov}, Ann. Math. (2) 187, No. 3, 825--867 (2018; Zbl 1392.37065) Full Text: DOI arXiv Link
Dyatlov, Semyon; Galkowski, Jeffrey Fractal Weyl laws and wave decay for general trapping. (English) Zbl 1380.35021 Nonlinearity 30, No. 12, 4301-4343 (2017). MSC: 35B34 35P15 PDFBibTeX XMLCite \textit{S. Dyatlov} and \textit{J. Galkowski}, Nonlinearity 30, No. 12, 4301--4343 (2017; Zbl 1380.35021) Full Text: DOI arXiv Link
Dyatlov, Semyon Spectral gaps for normally hyperbolic trapping. (Trous spectraux pour des ensembles captés normalement hyperboliques.) (English. French summary) Zbl 1350.35023 Ann. Inst. Fourier 66, No. 1, 55-82 (2016). MSC: 35B34 37D05 58J50 35P05 58J05 35Q75 83C57 PDFBibTeX XMLCite \textit{S. Dyatlov}, Ann. Inst. Fourier 66, No. 1, 55--82 (2016; Zbl 1350.35023) Full Text: DOI arXiv
Datchev, Kiril; Dyatlov, Semyon; Zworski, Maciej Resonances and lower resolvent bounds. (English) Zbl 1326.35299 J. Spectr. Theory 5, No. 3, 599-615 (2015). MSC: 35Q40 35P25 PDFBibTeX XMLCite \textit{K. Datchev} et al., J. Spectr. Theory 5, No. 3, 599--615 (2015; Zbl 1326.35299) Full Text: DOI arXiv
Dyatlov, Semyon Resonance projectors and asymptotics for \(r\)-normally hyperbolic trapped sets. (English) Zbl 1338.35316 J. Am. Math. Soc. 28, No. 2, 311-381 (2015). Reviewer: Alex B. Gaina (Chisinau) MSC: 35P20 35B34 35S30 37D05 83C57 PDFBibTeX XMLCite \textit{S. Dyatlov}, J. Am. Math. Soc. 28, No. 2, 311--381 (2015; Zbl 1338.35316) Full Text: DOI arXiv