Shmerkin, Pablo Slices and distances: on two problems of Furstenberg and Falconer. (English) Zbl 07822655 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 3266-3290 (2023). MSC: 28A80 05D99 11K55 28A75 28A78 37C45 PDFBibTeX XMLCite \textit{P. Shmerkin}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 4. Sections 5--8. Berlin: European Mathematical Society (EMS). 3266--3290 (2023; Zbl 07822655) Full Text: DOI arXiv OA License
Ramos, João P. G.; Sousa, Mateus Perturbed interpolation formulae and applications. (English) Zbl 07785264 Anal. PDE 16, No. 10, 2327-2384 (2023). MSC: 41A05 42A38 46E39 11F30 PDFBibTeX XMLCite \textit{J. P. G. Ramos} and \textit{M. Sousa}, Anal. PDE 16, No. 10, 2327--2384 (2023; Zbl 07785264) Full Text: DOI arXiv
Carneiro, Emanuel; Quesada-Herrera, Emily Generalized sign Fourier uncertainty. (English) Zbl 1527.42007 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1671-1704 (2023). MSC: 42B10 11R42 11M06 30D15 PDFBibTeX XMLCite \textit{E. Carneiro} and \textit{E. Quesada-Herrera}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1671--1704 (2023; Zbl 1527.42007) Full Text: DOI arXiv
Sodin, Mikhail; Wennman, Aron; Yakir, Oren The random Weierstrass zeta function. II: Fluctuations of the electric flux through rectifiable curves. (English) Zbl 1523.60091 J. Stat. Phys. 190, No. 10, Paper No. 164, 29 p. (2023). MSC: 60G55 60K35 30B20 82B05 11M41 PDFBibTeX XMLCite \textit{M. Sodin} et al., J. Stat. Phys. 190, No. 10, Paper No. 164, 29 p. (2023; Zbl 1523.60091) Full Text: DOI arXiv OA License
Anderson, Theresa C.; Hu, Bingyang On the general dyadic grids on \(\mathbb{R}^d\). (English) Zbl 1519.42014 Can. J. Math. 75, No. 4, 1147-1175 (2023). MSC: 42B20 11Z05 PDFBibTeX XMLCite \textit{T. C. Anderson} and \textit{B. Hu}, Can. J. Math. 75, No. 4, 1147--1175 (2023; Zbl 1519.42014) Full Text: DOI arXiv
Nguyen, Hoi H. Concentration of the number of intersections of random eigenfunctions on flat tori. (English) Zbl 1518.58016 Proc. Am. Math. Soc. 151, No. 7, 3127-3143 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 53C21 11P21 60G15 60F10 PDFBibTeX XMLCite \textit{H. H. Nguyen}, Proc. Am. Math. Soc. 151, No. 7, 3127--3143 (2023; Zbl 1518.58016) Full Text: DOI arXiv
Rozendaal, Jan Local smoothing and Hardy spaces for Fourier integral operators. (English) Zbl 1502.42007 J. Funct. Anal. 283, No. 12, Article ID 109721, 22 p. (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 42B10 11D41 35L05 42B35 35S30 42B37 PDFBibTeX XMLCite \textit{J. Rozendaal}, J. Funct. Anal. 283, No. 12, Article ID 109721, 22 p. (2022; Zbl 1502.42007) Full Text: DOI arXiv
Lachièze-Rey, Raphaël Diophantine Gaussian excursions and random walks. (English) Zbl 1507.60045 Electron. J. Probab. 27, Paper No. 126, 33 p. (2022). MSC: 60G15 11J13 34L20 60G50 60G60 PDFBibTeX XMLCite \textit{R. Lachièze-Rey}, Electron. J. Probab. 27, Paper No. 126, 33 p. (2022; Zbl 1507.60045) Full Text: DOI arXiv Link
Beliaev, Dmitry; Maffucci, Riccardo W. Coupling of stationary fields with application to arithmetic waves. (English) Zbl 1507.60068 Stochastic Processes Appl. 151, 436-450 (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60G60 60G15 11E12 PDFBibTeX XMLCite \textit{D. Beliaev} and \textit{R. W. Maffucci}, Stochastic Processes Appl. 151, 436--450 (2022; Zbl 1507.60068) Full Text: DOI arXiv
Anderson, Theresa C.; Hu, Bingyang A structure theorem on doubling measures with different bases. (English) Zbl 1480.28003 J. Math. Anal. Appl. 505, No. 1, Article ID 125620, 11 p. (2022). MSC: 28A12 11K55 PDFBibTeX XMLCite \textit{T. C. Anderson} and \textit{B. Hu}, J. Math. Anal. Appl. 505, No. 1, Article ID 125620, 11 p. (2022; Zbl 1480.28003) Full Text: DOI arXiv
Yakir, Oren Fluctuations of linear statistics for Gaussian perturbations of the lattice \(\mathbb{Z}^d\). (English) Zbl 1460.60043 J. Stat. Phys. 182, No. 3, Paper No. 58, 22 p. (2021). MSC: 60G55 60E07 60B15 11F85 43A25 11R56 PDFBibTeX XMLCite \textit{O. Yakir}, J. Stat. Phys. 182, No. 3, Paper No. 58, 22 p. (2021; Zbl 1460.60043) Full Text: DOI arXiv
Khalil, Osama Singular vectors on fractals and projections of self-similar measures. (English) Zbl 1448.11127 Geom. Funct. Anal. 30, No. 2, 482-535 (2020). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J13 11J83 28A80 37A17 32G15 37A10 30F60 PDFBibTeX XMLCite \textit{O. Khalil}, Geom. Funct. Anal. 30, No. 2, 482--535 (2020; Zbl 1448.11127) Full Text: DOI arXiv
Huang, Bingrong Sup-norm and nodal domains of dihedral Maass forms. (English) Zbl 1459.11120 Commun. Math. Phys. 371, No. 3, 1261-1282 (2019). MSC: 11F37 11F72 58J50 PDFBibTeX XMLCite \textit{B. Huang}, Commun. Math. Phys. 371, No. 3, 1261--1282 (2019; Zbl 1459.11120) Full Text: DOI arXiv
Cohn, Henry; Gonçalves, Felipe An optimal uncertainty principle in twelve dimensions via modular forms. (English) Zbl 1422.42010 Invent. Math. 217, No. 3, 799-831 (2019). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42B10 30D15 11F03 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{F. Gonçalves}, Invent. Math. 217, No. 3, 799--831 (2019; Zbl 1422.42010) Full Text: DOI arXiv
Hu, Tian-You; Lau, Ka-Sing Limiting behavior of infinite products scaled by Pisot numbers. (English) Zbl 1417.42007 J. Fourier Anal. Appl. 25, No. 4, 1695-1707 (2019). MSC: 42A38 11R06 11B37 PDFBibTeX XMLCite \textit{T.-Y. Hu} and \textit{K.-S. Lau}, J. Fourier Anal. Appl. 25, No. 4, 1695--1707 (2019; Zbl 1417.42007) Full Text: DOI
Shmerkin, Pablo On Furstenberg’s intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions. (English) Zbl 1426.11079 Ann. Math. (2) 189, No. 2, 319-391 (2019). Reviewer: Takao Komatsu (Hangzhou) MSC: 11K55 28A80 37C45 PDFBibTeX XMLCite \textit{P. Shmerkin}, Ann. Math. (2) 189, No. 2, 319--391 (2019; Zbl 1426.11079) Full Text: DOI arXiv
Brandolini, Luca; Chen, William W. L.; Colzani, Leonardo; Gigante, Giacomo; Travaglini, Giancarlo Discrepancy and numerical integration on metric measure spaces. (English) Zbl 1407.65028 J. Geom. Anal. 29, No. 1, 328-369 (2019). MSC: 65D30 11K38 PDFBibTeX XMLCite \textit{L. Brandolini} et al., J. Geom. Anal. 29, No. 1, 328--369 (2019; Zbl 1407.65028) Full Text: DOI arXiv
Jung, Junehyuk Quantitative quantum ergodicity and the nodal domains of Hecke-Maass cusp forms. (English) Zbl 1388.58021 Commun. Math. Phys. 348, No. 2, 603-653 (2016). Reviewer: Neven Grbac (Rijeka) MSC: 58J51 11F72 37A45 PDFBibTeX XMLCite \textit{J. Jung}, Commun. Math. Phys. 348, No. 2, 603--653 (2016; Zbl 1388.58021) Full Text: DOI arXiv
Bownik, Marcin; Speegle, Darrin Linear independence of time-frequency translates in \(\mathbb R^d\). (English) Zbl 1347.42056 J. Geom. Anal. 26, No. 3, 1678-1692 (2016). Reviewer: Gustaf Gripenberg (Hut) MSC: 42C40 26B35 11K70 PDFBibTeX XMLCite \textit{M. Bownik} and \textit{D. Speegle}, J. Geom. Anal. 26, No. 3, 1678--1692 (2016; Zbl 1347.42056) Full Text: DOI
Bond, M.; Łaba, I.; Zahl, J. Quantitative visibility estimates for unrectifiable sets in the plane. (English) Zbl 1339.28007 Trans. Am. Math. Soc. 368, No. 8, 5475-5513 (2016). Reviewer: Wlodzimierz Ślęzak (Bydgoszcz) MSC: 28A80 28A75 28A78 11K55 PDFBibTeX XMLCite \textit{M. Bond} et al., Trans. Am. Math. Soc. 368, No. 8, 5475--5513 (2016; Zbl 1339.28007) Full Text: DOI arXiv
Kallus, Yoav When is the ball a local pessimum for covering? (English) Zbl 1336.52023 Discrete Comput. Geom. 54, No. 1, 232-245 (2015). Reviewer: Iskander Aliev (Cardiff) MSC: 52C17 52C07 11H31 PDFBibTeX XMLCite \textit{Y. Kallus}, Discrete Comput. Geom. 54, No. 1, 232--245 (2015; Zbl 1336.52023) Full Text: DOI arXiv
Magee, Michael Arithmetic, zeros, and nodal domains on the sphere. (English) Zbl 1354.11041 Commun. Math. Phys. 338, No. 3, 919-951 (2015). Reviewer: Dimitrios Chatzakos (Bristol) MSC: 11F72 11F25 PDFBibTeX XMLCite \textit{M. Magee}, Commun. Math. Phys. 338, No. 3, 919--951 (2015; Zbl 1354.11041) Full Text: DOI arXiv Link
Zong, Chuanming Packing, covering and tiling in two-dimensional spaces. (English) Zbl 1307.52012 Expo. Math. 32, No. 4, 297-364 (2014). Reviewer: Anton Shutov (Vladimir) MSC: 52C15 52C20 52C23 52C26 11H06 11H31 PDFBibTeX XMLCite \textit{C. Zong}, Expo. Math. 32, No. 4, 297--364 (2014; Zbl 1307.52012) Full Text: DOI
Kallus, Yoav The 3-ball is a local pessimum for packing. (English) Zbl 1298.52018 Adv. Math. 264, 355-370 (2014). Reviewer: Robert Dawson (Halifax) MSC: 52C07 11H31 11H06 52C17 PDFBibTeX XMLCite \textit{Y. Kallus}, Adv. Math. 264, 355--370 (2014; Zbl 1298.52018) Full Text: DOI arXiv
Ghosh, Amit; Reznikov, Andre; Sarnak, Peter Nodal domains of Maass forms. I. (English) Zbl 1328.11044 Geom. Funct. Anal. 23, No. 5, 1515-1568 (2013). Reviewer: A. Sankaranarayanan (Mumbai) MSC: 11F12 11F30 81Q50 PDFBibTeX XMLCite \textit{A. Ghosh} et al., Geom. Funct. Anal. 23, No. 5, 1515--1568 (2013; Zbl 1328.11044) Full Text: DOI arXiv
Anderson, B.; Ash, J. M.; Jones, R. L.; Rider, D. G.; Saffari, B. Exponential sums with coefficients 0 or 1 and concentrated \(L^p\) norms. (English) Zbl 1133.42004 Ann. Inst. Fourier 57, No. 5, 1377-1404 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 42A05 42A10 42A32 11L03 PDFBibTeX XMLCite \textit{B. Anderson} et al., Ann. Inst. Fourier 57, No. 5, 1377--1404 (2007; Zbl 1133.42004) Full Text: DOI arXiv Numdam EuDML
Brandolini, L.; Iosevich, A.; Travaglini, G. Planar convex bodies, Fourier transform, lattice points, and irregularities of distribution. (English) Zbl 1032.42018 Trans. Am. Math. Soc. 355, No. 9, 3513-3535 (2003). MSC: 42B10 52A10 11P21 11H06 PDFBibTeX XMLCite \textit{L. Brandolini} et al., Trans. Am. Math. Soc. 355, No. 9, 3513--3535 (2003; Zbl 1032.42018) Full Text: DOI