Roos, Joris; Seeger, Andreas Spherical maximal functions and fractal dimensions of dilation sets. (English) Zbl 07732556 Am. J. Math. 145, No. 4, 1077-1110 (2023). MSC: 28-XX 52-XX PDFBibTeX XMLCite \textit{J. Roos} and \textit{A. Seeger}, Am. J. Math. 145, No. 4, 1077--1110 (2023; Zbl 07732556) Full Text: DOI arXiv
Yu, Hung-Hsun Hans; Zhao, Yufei Joints tightened. (English) Zbl 1523.52027 Am. J. Math. 145, No. 2, 569-583 (2023). MSC: 52C10 14N05 52C30 PDFBibTeX XMLCite \textit{H.-H. H. Yu} and \textit{Y. Zhao}, Am. J. Math. 145, No. 2, 569--583 (2023; Zbl 1523.52027) Full Text: DOI arXiv
Besau, Florian; Hack, Thomas; Pivovarov, Peter; Schuster, Franz E. Spherical centroid bodies. (English) Zbl 1517.52005 Am. J. Math. 145, No. 2, 515-542 (2023). Reviewer: Florian Pausinger (Belfast) MSC: 52A55 60D05 PDFBibTeX XMLCite \textit{F. Besau} et al., Am. J. Math. 145, No. 2, 515--542 (2023; Zbl 1517.52005) Full Text: DOI arXiv
Walsh, Miguel N. Concentration estimates for algebraic intersections. (English) Zbl 1523.14086 Am. J. Math. 145, No. 2, 435-475 (2023). MSC: 14N05 14N10 52C10 PDFBibTeX XMLCite \textit{M. N. Walsh}, Am. J. Math. 145, No. 2, 435--475 (2023; Zbl 1523.14086) Full Text: DOI arXiv
Wannerer, Thomas Classification of angular curvature measures and a proof of the angularity conjecture. (English) Zbl 1503.53141 Am. J. Math. 144, No. 5, 1331-1366 (2022). Reviewer: Fernando Etayo Gordejuela (Santander) MSC: 53C65 53C20 58J60 52B45 52A20 PDFBibTeX XMLCite \textit{T. Wannerer}, Am. J. Math. 144, No. 5, 1331--1366 (2022; Zbl 1503.53141) Full Text: DOI arXiv
Fradelizi, Matthieu; Hubard, Alfredo; Meyer, Mathieu; Roldán-Pensado, Edgardo; Zvavitch, Artem Equipartitions and Mahler volumes of symmetric convex bodies. (English) Zbl 1498.52010 Am. J. Math. 144, No. 5, 1201-1219 (2022). MSC: 52A38 PDFBibTeX XMLCite \textit{M. Fradelizi} et al., Am. J. Math. 144, No. 5, 1201--1219 (2022; Zbl 1498.52010) Full Text: DOI arXiv
Liu, Bochen Periodic structure of translational multi-tilings in the plane. (English) Zbl 1481.52009 Am. J. Math. 143, No. 6, 1841-1862 (2021). MSC: 52C20 PDFBibTeX XMLCite \textit{B. Liu}, Am. J. Math. 143, No. 6, 1841--1862 (2021; Zbl 1481.52009) Full Text: DOI arXiv
Ge, Huabin; Hua, Bobo; Zhou, Ze Circle patterns on surfaces of finite topological type. (English) Zbl 1491.57013 Am. J. Math. 143, No. 5, 1397-1430 (2021). Reviewer: Jason Hanson (Redmond) MSC: 57K20 52C26 57M50 57R05 53E20 57Q99 53A70 PDFBibTeX XMLCite \textit{H. Ge} et al., Am. J. Math. 143, No. 5, 1397--1430 (2021; Zbl 1491.57013) Full Text: DOI arXiv
Murphy, Brendan Upper and lower bounds for rich lines in grids. (English) Zbl 1475.52028 Am. J. Math. 143, No. 2, 577-611 (2021). MSC: 52C10 05C48 05C75 05C76 11B25 11B30 PDFBibTeX XMLCite \textit{B. Murphy}, Am. J. Math. 143, No. 2, 577--611 (2021; Zbl 1475.52028) Full Text: DOI arXiv
Heilman, Steven Symmetric convex sets with minimal Gaussian surface area. (English) Zbl 1462.53003 Am. J. Math. 143, No. 1, 53-94 (2021). MSC: 53A07 53E10 49Q10 52A20 PDFBibTeX XMLCite \textit{S. Heilman}, Am. J. Math. 143, No. 1, 53--94 (2021; Zbl 1462.53003) Full Text: DOI arXiv
Naszódi, Márton; Nazarov, Fedor; Ryabogin, Dmitry Fine approximation of convex bodies by polytopes. (English) Zbl 1472.52009 Am. J. Math. 142, No. 3, 809-820 (2020). Reviewer: Andriy Prymak (Winnipeg) MSC: 52A27 52B11 PDFBibTeX XMLCite \textit{M. Naszódi} et al., Am. J. Math. 142, No. 3, 809--820 (2020; Zbl 1472.52009) Full Text: DOI arXiv
He, Chenxu; Wei, Guofang; Zhang, Qi S. Fundamental gap of convex domains in the spheres. (English) Zbl 1446.52003 Am. J. Math. 142, No. 4, 1161-1191 (2020). MSC: 52A15 PDFBibTeX XMLCite \textit{C. He} et al., Am. J. Math. 142, No. 4, 1161--1191 (2020; Zbl 1446.52003) Full Text: DOI arXiv
Bhattacharya, Siddhartha Periodicity and decidability of tilings of \(\mathbb{Z}^2\). (English) Zbl 1454.11125 Am. J. Math. 142, No. 1, 255-266 (2020). Reviewer: Altino Manuel Folgado dos Santos (Vila Real) MSC: 11H31 52C20 37B52 PDFBibTeX XMLCite \textit{S. Bhattacharya}, Am. J. Math. 142, No. 1, 255--266 (2020; Zbl 1454.11125) Full Text: DOI arXiv
Guth, Larry; Zahl, Joshua Algebraic curves, rich points, and doubly-ruled surfaces. (English) Zbl 1403.51002 Am. J. Math. 140, No. 5, 1187-1229 (2018). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 51A45 14C05 14J26 52C10 PDFBibTeX XMLCite \textit{L. Guth} and \textit{J. Zahl}, Am. J. Math. 140, No. 5, 1187--1229 (2018; Zbl 1403.51002) Full Text: DOI arXiv Link
Haberl, Christoph; Parapatits, Lukas Moments and valuations. (English) Zbl 1368.52010 Am. J. Math. 138, No. 6, 1575-1603 (2016). Reviewer: Monika Ludwig (Wien) MSC: 52B45 52B11 PDFBibTeX XMLCite \textit{C. Haberl} and \textit{L. Parapatits}, Am. J. Math. 138, No. 6, 1575--1603 (2016; Zbl 1368.52010) Full Text: DOI arXiv
Raz, Orit E.; Sharir, Micha; Solymosi, Jzsef Polynomials vanishing on grids: the Elekes-Rónyai problem revisited. (English) Zbl 1343.05016 Am. J. Math. 138, No. 4, 1029-1065 (2016). MSC: 05A10 14P05 52C10 PDFBibTeX XMLCite \textit{O. E. Raz} et al., Am. J. Math. 138, No. 4, 1029--1065 (2016; Zbl 1343.05016) Full Text: DOI arXiv
Alesker, S.; Bernig, A. Erratum to: “The product on smooth and generalized valuations”. (English) Zbl 1451.53100 Am. J. Math. 138, No. 2, 529-530 (2016). MSC: 53C65 58A25 49Q15 52B45 PDFBibTeX XMLCite \textit{S. Alesker} and \textit{A. Bernig}, Am. J. Math. 138, No. 2, 529--530 (2016; Zbl 1451.53100) Full Text: DOI Link
Schuster, Franz E.; Wannerer, Thomas Even Minkowski valuations. (English) Zbl 1336.52020 Am. J. Math. 137, No. 6, 1651-1683 (2015). Reviewer: Christian Richter (Jena) MSC: 52B45 52A20 52A39 53C65 PDFBibTeX XMLCite \textit{F. E. Schuster} and \textit{T. Wannerer}, Am. J. Math. 137, No. 6, 1651--1683 (2015; Zbl 1336.52020) Full Text: DOI arXiv Link
Oberlin, Daniel; Oberlin, Richard Unit distance problems. (English) Zbl 1315.52013 Am. J. Math. 137, No. 1, 251-270 (2015). Reviewer: László A. Székely (Columbia) MSC: 52C10 42B10 28A75 PDFBibTeX XMLCite \textit{D. Oberlin} and \textit{R. Oberlin}, Am. J. Math. 137, No. 1, 251--270 (2015; Zbl 1315.52013) Full Text: DOI arXiv Link
Ambrus, Gergely; Böröczky, Károly jun. Stability results for the volume of random simplices. (English) Zbl 1301.52016 Am. J. Math. 136, No. 4, 833-857 (2014). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 60D05 52A40 PDFBibTeX XMLCite \textit{G. Ambrus} and \textit{K. Böröczky jun.}, Am. J. Math. 136, No. 4, 833--857 (2014; Zbl 1301.52016) Full Text: DOI arXiv Link Link
Barthe, F.; Fradelizi, M. The volume product of convex bodies with many hyperplane symmetries. (English) Zbl 1277.52010 Am. J. Math. 135, No. 2, 311-347 (2013). Reviewer: Jesus Yepes Nicolas (Murcia) MSC: 52A38 52A20 52A40 52B15 46B10 PDFBibTeX XMLCite \textit{F. Barthe} and \textit{M. Fradelizi}, Am. J. Math. 135, No. 2, 311--347 (2013; Zbl 1277.52010) Full Text: DOI
Ghomi, Mohammad Deformations of unbounded convex bodies and hypersurfaces. (English) Zbl 1287.52005 Am. J. Math. 134, No. 6, 1585-1611 (2012). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 52A20 PDFBibTeX XMLCite \textit{M. Ghomi}, Am. J. Math. 134, No. 6, 1585--1611 (2012; Zbl 1287.52005) Full Text: DOI arXiv
Ludwig, Monika Valuations on Sobolev spaces. (English) Zbl 1255.52013 Am. J. Math. 134, No. 3, 827-842 (2012). Reviewer: Peter McMullen (London) MSC: 52B45 52A39 PDFBibTeX XMLCite \textit{M. Ludwig}, Am. J. Math. 134, No. 3, 827--842 (2012; Zbl 1255.52013) Full Text: DOI
Alesker, Semyon; Bernig, Andreas The product on smooth and generalized valuations. (English) Zbl 1242.53096 Am. J. Math. 134, No. 2, 507-560 (2012); erratum ibid. 138, No. 2, 529-530 (2016). Reviewer: Valery Vladimirovich Volchkov (Donetsk) MSC: 53C65 58A25 49Q15 52B45 PDFBibTeX XMLCite \textit{S. Alesker} and \textit{A. Bernig}, Am. J. Math. 134, No. 2, 507--560 (2012; Zbl 1242.53096) Full Text: DOI arXiv
Haberl, Christoph Blaschke valuations. (English) Zbl 1229.52003 Am. J. Math. 133, No. 3, 717-751 (2011). Reviewer: Paolo Dulio (Milano) MSC: 52A20 52A30 53A15 52B45 PDFBibTeX XMLCite \textit{C. Haberl}, Am. J. Math. 133, No. 3, 717--751 (2011; Zbl 1229.52003) Full Text: DOI
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A. On the isoperimetric deficit in Gauss space. (English) Zbl 1219.28005 Am. J. Math. 133, No. 1, 131-186 (2011). Reviewer: Sergey Ludkovsky (Moskva) MSC: 28A78 52B60 PDFBibTeX XMLCite \textit{A. Cianchi} et al., Am. J. Math. 133, No. 1, 131--186 (2011; Zbl 1219.28005) Full Text: DOI
Gortler, Steven J.; Healy, Alexander D.; Thurston, Dylan P. Characterizing generic global rigidity. (English) Zbl 1202.52020 Am. J. Math. 132, No. 4, 897-939 (2010). Reviewer: Victor Alexandrov (Novosibirsk) MSC: 52C25 05C10 05C62 51K99 53A17 57M15 57Q35 70C99 74K10 PDFBibTeX XMLCite \textit{S. J. Gortler} et al., Am. J. Math. 132, No. 4, 897--939 (2010; Zbl 1202.52020) Full Text: DOI arXiv
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Volume inequalities for isotropic measures. (English) Zbl 1134.52010 Am. J. Math. 129, No. 6, 1711-1723 (2007). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{E. Lutwak} et al., Am. J. Math. 129, No. 6, 1711--1723 (2007; Zbl 1134.52010) Full Text: DOI arXiv
Tevelev, Jenia Compactifications of subvarieties of tori. (English) Zbl 1154.14039 Am. J. Math. 129, No. 4, 1087-1104 (2007). Reviewer: Ilia Itenberg (Strasbourg) MSC: 14T05 14M25 52C35 14M15 14J10 PDFBibTeX XMLCite \textit{J. Tevelev}, Am. J. Math. 129, No. 4, 1087--1104 (2007; Zbl 1154.14039) Full Text: DOI arXiv
Ludwig, Monika Intersection bodies and valuations. (English) Zbl 1115.52007 Am. J. Math. 128, No. 6, 1409-1428 (2006). Reviewer: Peter McMullen (London) MSC: 52B45 PDFBibTeX XMLCite \textit{M. Ludwig}, Am. J. Math. 128, No. 6, 1409--1428 (2006; Zbl 1115.52007) Full Text: DOI Link
Álvarez Paiva, J. C. Dual spheres have the same girth. (English) Zbl 1106.46010 Am. J. Math. 128, No. 2, 361-371 (2006). Reviewer: A. C. Thompson (Halifax) MSC: 46B20 52A21 53C60 53D35 PDFBibTeX XMLCite \textit{J. C. Álvarez Paiva}, Am. J. Math. 128, No. 2, 361--371 (2006; Zbl 1106.46010) Full Text: DOI arXiv
Alexander, Stephanie; Ghomi, Mohammad The convex hull property of noncompact hypersurfaces with positive curvature. (English) Zbl 1066.53012 Am. J. Math. 126, No. 4, 891-897 (2004). Reviewer: T. Koufogiorgos (Ioannina) MSC: 53A07 53C40 52A20 PDFBibTeX XMLCite \textit{S. Alexander} and \textit{M. Ghomi}, Am. J. Math. 126, No. 4, 891--897 (2004; Zbl 1066.53012) Full Text: DOI
Rojas, J. Maurice Arithmetic multivariate Descartes’ rule. (English) Zbl 1046.12001 Am. J. Math. 126, No. 1, 1-30 (2004). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12D10 11T06 52B11 PDFBibTeX XMLCite \textit{J. M. Rojas}, Am. J. Math. 126, No. 1, 1--30 (2004; Zbl 1046.12001) Full Text: DOI arXiv
Iosevich, Alex; Katz, Nets Hawk; Tao, Terry Convex bodies with a point of curvature do not have Fourier bases. (English) Zbl 0998.42001 Am. J. Math. 123, No. 1, 115-120 (2001). Reviewer: Yong-Cheol Kim (Seoul) MSC: 42B05 52A20 52C22 42B10 PDFBibTeX XMLCite \textit{A. Iosevich} et al., Am. J. Math. 123, No. 1, 115--120 (2001; Zbl 0998.42001) Full Text: DOI arXiv Link
Koldobsky, Alexander Intersection bodies, positive definite distributions, and the Busemann-Petty problem. (English) Zbl 0914.52001 Am. J. Math. 120, No. 4, 827-840 (1998). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A20 52A21 42B10 PDFBibTeX XMLCite \textit{A. Koldobsky}, Am. J. Math. 120, No. 4, 827--840 (1998; Zbl 0914.52001) Full Text: DOI Link
Goodey, Paul; Zhang, Gaoyong Inequalities between projection functions of convex bodies. (English) Zbl 0912.52007 Am. J. Math. 120, No. 2, 345-367 (1998). Reviewer: Jesus De Loera (Minneapolis) MSC: 52A40 44A12 52A38 PDFBibTeX XMLCite \textit{P. Goodey} and \textit{G. Zhang}, Am. J. Math. 120, No. 2, 345--367 (1998; Zbl 0912.52007) Full Text: DOI Link
Gardner, R. J.; Zhang, Gaoyong Affine inequalities and radial mean bodies. (English) Zbl 0908.52001 Am. J. Math. 120, No. 3, 505-528 (1998). Reviewer: K.Leichtweiß (Stuttgart) MSC: 52A40 52A20 PDFBibTeX XMLCite \textit{R. J. Gardner} and \textit{G. Zhang}, Am. J. Math. 120, No. 3, 505--528 (1998; Zbl 0908.52001) Full Text: DOI Link
Wolff, Thomas A Kakeya-type problem for circles. (English) Zbl 0892.52003 Am. J. Math. 119, No. 5, 985-1026 (1997). Reviewer: H.Brönnimann (Sophia-Antipolis) MSC: 52A40 PDFBibTeX XMLCite \textit{T. Wolff}, Am. J. Math. 119, No. 5, 985--1026 (1997; Zbl 0892.52003) Full Text: DOI Link
Zhang, Gaoyong Sections of convex bodies. (English) Zbl 0854.52004 Am. J. Math. 118, No. 2, 319-340 (1996). Reviewer: E.Hertel (Jena) MSC: 52A38 52A40 PDFBibTeX XMLCite \textit{G. Zhang}, Am. J. Math. 118, No. 2, 319--340 (1996; Zbl 0854.52004) Full Text: DOI Link
Chen, Yonggao The view-obstruction problem for 4-dimensional spheres. (English) Zbl 0820.52010 Am. J. Math. 116, No. 6, 1381-1419 (1994). Reviewer: Á.G.Horváth (Budapest) MSC: 52C17 11H55 PDFBibTeX XMLCite \textit{Y. Chen}, Am. J. Math. 116, No. 6, 1381--1419 (1994; Zbl 0820.52010) Full Text: DOI
Chai, Y. D. A geometric inequality for certain types of compact sets in \({\mathbb{R}}^ n\). (English) Zbl 0731.53065 Am. J. Math. 113, No. 3, 423-439 (1991). Reviewer: E.Teufel (Stuttgart) MSC: 53C65 52A22 PDFBibTeX XMLCite \textit{Y. D. Chai}, Am. J. Math. 113, No. 3, 423--439 (1991; Zbl 0731.53065) Full Text: DOI
Alexander, H.; Osserman, R. Area bounds for various classes of surfaces. (English) Zbl 0326.53030 Am. J. Math. 97, 753-769 (1975). MSC: 53B25 49Q05 49Q20 52A40 53A05 53A10 32Q99 PDFBibTeX XMLCite \textit{H. Alexander} and \textit{R. Osserman}, Am. J. Math. 97, 753--769 (1975; Zbl 0326.53030) Full Text: DOI
Chen, C.-S. On tight isometric immersion of codimension two. (English) Zbl 0253.53050 Am. J. Math. 94, 974-990 (1972). MSC: 53C40 53C45 52A20 57R70 PDFBibTeX XMLCite \textit{C. S. Chen}, Am. J. Math. 94, 974--990 (1972; Zbl 0253.53050) Full Text: DOI
Stoker, J. J. Unbounded convex point sets. (English) Zbl 0022.40301 Am. J. Math. 62, 165-179 (1940). Reviewer: W. Blaschke (Hamburg) MSC: 52-XX PDFBibTeX XMLCite \textit{J. J. Stoker}, Am. J. Math. 62, 165--179 (1940; Zbl 0022.40301) Full Text: DOI
Cole, F. N. Klein‘s icosahedron. (Klein’s Ikosaeder.) (English) JFM 18.0458.01 Newcomb Am. J. IX, 45-61 (1886). Reviewer: Schlegel, Dr. (Hagen) MSC: 51M20 52B11 53D30 PDFBibTeX XMLCite \textit{F. N. Cole}, Am. J. Math. 9, 45--61 (1886; JFM 18.0458.01) Full Text: DOI
Smith, Ch. A graphic method of solving spherical triangles. (English) JFM 15.0494.01 Sylv. Am. J. VI, 175-177 (1883). Reviewer: Maynz, Dr. (Ludwigslust) MSC: 33B10 33C55 51E24 51M15 51M20 52B10 PDFBibTeX XMLCite \textit{Ch. Smith}, Am. J. Math. 6, 175--177 (1883; JFM 15.0494.01) Full Text: DOI
Cayley, A. Desiderata and suggestions. No. 1: The theory of groups. No. 2: Graphical representation. (English) JFM 10.0105.02 Am. J. Math. 1, No. 1, 50-52 (1878); 1, No. 2, 174-176 (1878). Reviewer: Nöther, Prof. (Erlangen) MSC: 20B05 20B25 20C15 08A40 05C25 05C62 52B11 PDFBibTeX XMLCite \textit{A. Cayley}, Am. J. Math. 1, 50--52 (1878; JFM 10.0105.02) Full Text: DOI Link