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
Bourgain, Jean On toral eigenfunctions and the random wave model. (English) Zbl 1305.60013 Isr. J. Math. 201, Part B, 611-630 (2014). Reviewer: Wiesław Dziubdziela (Miedziana Gora) MSC: 60B99 PDFBibTeX XMLCite \textit{J. Bourgain}, Isr. J. Math. 201, Part B, 611--630 (2014; Zbl 1305.60013) Full Text: DOI arXiv
Bourgain, Jean; Rudnick, Zeév Restriction of toral eigenfunctions to hypersurfaces and nodal sets. (English) Zbl 1276.53047 Geom. Funct. Anal. 22, No. 4, 878-937 (2012). Reviewer: Paweł Walczak (Łódź) MSC: 53C21 53C40 58J50 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{Z. Rudnick}, Geom. Funct. Anal. 22, No. 4, 878--937 (2012; Zbl 1276.53047) Full Text: DOI arXiv
Bourgain, Jean; Rudnick, Zeév On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus. (English) Zbl 1227.58008 Ann. Henri Poincaré 12, No. 6, 1027-1053 (2011). Reviewer: Andreas Kleefeld (Cottbus) MSC: 58J50 58C40 PDFBibTeX XMLCite \textit{J. Bourgain} and \textit{Z. Rudnick}, Ann. Henri Poincaré 12, No. 6, 1027--1053 (2011; Zbl 1227.58008) Full Text: DOI arXiv
Bourgain, Jean An approach to Wegner’s estimate using subharmonicity. (English) Zbl 1193.82018 J. Stat. Phys. 134, No. 5-6, 969-978 (2009). Reviewer: Jiří Černý (Zürich) MSC: 82B44 82B20 35R60 47B80 PDFBibTeX XMLCite \textit{J. Bourgain}, J. Stat. Phys. 134, No. 5--6, 969--978 (2009; Zbl 1193.82018) Full Text: DOI