König, Hermann On hyperplane sections and projections in \(l_p^n\). (English) Zbl 07921135 Banach J. Math. Anal. 18, No. 4, Paper No. 64, 26 p. (2024). MSC: 52A38 52A40 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Adamczak, Radosław; Pivovarov, Peter; Simanjuntak, Paul Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls. (English) Zbl 1539.60009 Ann. Probab. 52, No. 1, 93-126 (2024). Reviewer: Andrew Wade (Durham) MSC: 60D05 52A22 60F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Coman, Dan; Lu, Wen; Ma, Xiaonan; Marinescu, George Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds. (English) Zbl 1522.32008 Adv. Math. 414, Article ID 108854, 34 p. (2023). Reviewer: Dariush Ehsani (Berlin) MSC: 32A25 32Q15 32L05 32U40 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chasapis, Giorgos; Nayar, Piotr; Tkocz, Tomasz Slicing \(\ell_p\)-balls reloaded: stability, planar sections in \(\ell_1\). (English) Zbl 1506.52003 Ann. Probab. 50, No. 6, 2344-2372 (2022). Reviewer: Andrea Colesanti (Firenze) MSC: 52A20 52A38 52A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kabluchko, Zakhar; Seidel, Hauke Convex cones spanned by regular polytopes. (English) Zbl 1486.52009 Adv. Geom. 22, No. 2, 245-267 (2022). MSC: 52A22 60D05 52A55 52B11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiffman, Bernard Asymptotic expansion of the variance of random zeros on complex manifolds. (English) Zbl 1481.32009 J. Geom. Anal. 31, No. 8, 8607-8631 (2021). Reviewer: Dan Coman (Syracuse) MSC: 32J27 32L10 32A60 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bartha, Ferenc Ágoston; Fodor, Ferenc; González Merino, Bernardo Central diagonal sections of the \(n\)-cube. (English) Zbl 1516.52006 Int. Math. Res. Not. 2021, No. 4, 2861-2881 (2021). MSC: 52A22 51M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayraktar, Turgay; Coman, Dan; Marinescu, George Universality results for zeros of random holomorphic sections. (English) Zbl 1457.32013 Trans. Am. Math. Soc. 373, No. 6, 3765-3791 (2020). Reviewer: Harold P. Boas (College Station) MSC: 32A60 60D05 32L10 32C20 32U40 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Coman, Dan; Marinescu, George; Nguyên, Viêt-Anh Approximation and equidistribution results for pseudo-effective line bundles. (English. French summary) Zbl 1393.32008 J. Math. Pures Appl. (9) 115, 218-236 (2018). MSC: 32L10 32A60 32U40 32W20 53C55 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coman, Dan; Ma, Xiaonan; Marinescu, George Equidistribution for sequences of line bundles on normal Kähler spaces. (English) Zbl 1457.32051 Geom. Topol. 21, No. 2, 923-962 (2017). MSC: 32L10 32A60 32C20 32U40 81Q50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bayraktar, Turgay Equidistribution of zeros of random holomorphic sections. (English) Zbl 1357.32007 Indiana Univ. Math. J. 65, No. 5, 1759-1793 (2016). MSC: 32A60 32L10 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shao, Guokuan Equidistribution of zeros of random holomorphic sections for moderate measures. (English) Zbl 1351.32015 Math. Z. 283, No. 3-4, 791-806 (2016). Reviewer: Xavier Massaneda (Barcelona) MSC: 32A60 32L05 32U40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Golubyatnikov, V. P. Some unsolved problems of geometric tomography. (Russian) Zbl 1342.52009 Труды Всероссийской молодежной щколы-семинара “Анализ, геометрия и топология”, Барнаул, 2–4 октября 2013. Часть 1. Barnaul: Altaĭskiĭ Gosudarstvennyĭ Universitet, Institut Matematiki Imeni S.L. Soboleva So RAN (ISBN 978-5-91556-142-6/pbk). 50-59 (2013). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A22 53C65 60D05 × Cite Format Result Cite Review PDF
Feng, Renjie; Zelditch, Steve Random Riesz energies on compact Kähler manifolds. (English) Zbl 1295.32013 Trans. Am. Math. Soc. 365, No. 10, 5579-5604 (2013). Reviewer: Laurent Guillopé (Nantes) MSC: 32A60 32L10 60D05 32A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Jingzhou Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds. (English) Zbl 1271.32031 Indiana Univ. Math. J. 61, No. 3, 1157-1174 (2012). MSC: 32Q99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Shiffman, Bernard; Zelditch, Steve; Zhong, Qi Random zeros on complex manifolds: conditional expectations. (English) Zbl 1222.32036 J. Inst. Math. Jussieu 10, No. 3, 753-783 (2011). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 32L10 60D05 32A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shiffman, Bernard; Zelditch, Steve; Zrebiec, Scott Overcrowding and hole probabilities for random zeros on complex manifolds. (English) Zbl 1169.32002 Indiana Univ. Math. J. 57, No. 5, 1977-1997 (2008). Reviewer: Viktor Oganyan (Erevan) MSC: 32A99 32L10 32A60 32L05 58J65 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goodey, Paul The determination of convex bodies from the size and shape of their projections and sections. (English) Zbl 1168.52003 MacG. Dawson, Robert J. (ed.) et al., Convex and fractal geometry. Papers of the conference, Będlewo, Poland, May 21–26, 2007. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-03-4/pbk). Banach Center Publications 84, 13-30 (2009). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 52A22 52A38 43A90 × Cite Format Result Cite Review PDF
Shiffman, Bernard Convergence of random zeros on complex manifolds. (English) Zbl 1147.32010 Sci. China, Ser. A 51, No. 4, 707-720 (2008). MSC: 32A60 60G99 32L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kiderlen, Markus Estimation of the mean normal measure from flat sections. (English) Zbl 1138.60012 Adv. Appl. Probab. 40, No. 1, 31-48 (2008). MSC: 60D05 53C65 52A22 × Cite Format Result Cite Review PDF Full Text: DOI
Zbăganu, Gheorghiţă Branching processes and insurance. (English) Zbl 1174.91527 Proc. Rom. Acad., Ser. A, Math. Phys. Tech. Sci. Inf. Sci. 7, No. 2, 93-103 (2006). MSC: 91B30 60J85 × Cite Format Result Cite Review PDF
Artstein-Avidan, S.; Milman, V. D. Logarithmic reduction of the level of randomness in some probabilistic geometric constructions. (English) Zbl 1111.52009 J. Funct. Anal. 235, No. 1, 297-329 (2006). Reviewer: Wolfgang Weil (Karlsruhe) MSC: 52A22 46B09 60G50 × Cite Format Result Cite Review PDF Full Text: DOI
Litvak, A. E.; Pajor, A.; Tomczak-Jaegermann, N. Diameters of sections and coverings of convex bodies. (English) Zbl 1092.52004 J. Funct. Anal. 231, No. 2, 438-457 (2006). Reviewer: Yuhu Feng (Shanghai) MSC: 52A22 52A20 46B07 × Cite Format Result Cite Review PDF Full Text: DOI
Giannopoulos, Apostolos; Milman, Vitali D.; Tsolomitis, Antonis Asymptotic formulas for the diameter of sections of symmetric convex bodies. (English) Zbl 1088.46006 J. Funct. Anal. 223, No. 1, 86-108 (2005). Reviewer: Aicke Hinrichs (Jena) MSC: 46B07 52A20 52A40 × Cite Format Result Cite Review PDF Full Text: DOI
Milman, V. D.; Pajor, A. Regularization of star bodies by random hyperplane cut off. (English) Zbl 1076.46008 Stud. Math. 159, No. 2, 247-261 (2003). Reviewer: A. E. Litvak (Edmonton) MSC: 46B09 46B07 52A20 52A21 × Cite Format Result Cite Review PDF Full Text: DOI Link
Pawlikowski, Janusz Density zero slaloms. (English) Zbl 0968.03050 Ann. Pure Appl. Logic 103, No. 1-3, 39-53 (2000). Reviewer: Alberto Marcone (Udine) MSC: 03E15 03E40 × Cite Format Result Cite Review PDF Full Text: DOI
Litvak, A. E.; Milman, V. D.; Pajor, A. The covering numbers and “low \(M^*\)-estimate” for quasi-convex bodies. (English) Zbl 0948.52005 Proc. Am. Math. Soc. 127, No. 5, 1499-1507 (1999). Reviewer: Serguey M.Pokas (Odessa) MSC: 52C17 46B07 52A21 52A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giannopoulos, Apostolos A.; Milman, Vitali D. How small can the intersection of a few rotations of a symmetric convex body be? (English. Abridged French version) Zbl 0889.52003 C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 4, 389-394 (1997). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52A20 60D05 × Cite Format Result Cite Review PDF Full Text: DOI
Gardner, Richard J. Geometric tomography. (English) Zbl 0864.52001 Encyclopedia of Mathematics and Its Applications. 58. Cambridge: Cambridge University Press. xvi, 424 p. (1995). Reviewer: R.Schneider (Freiburg i.Br.) MSC: 52-02 52A22 92C55 65R30 44A12 53C65 × Cite Format Result Cite Review PDF
Goodey, Paul; Weil, Wolfgang The determination of convex bodies from the mean of random sections. (English) Zbl 0772.52005 Math. Proc. Camb. Philos. Soc. 112, No. 2, 419-430 (1992). Reviewer: J.Niewiarowski (Łódź) MSC: 52A15 52A27 52A22 × Cite Format Result Cite Review PDF Full Text: DOI
Rojtgarts, A. D. A cut theorem for weakly predictable sets in the plane. (English. Russian original) Zbl 0877.60011 Theory Probab. Math. Stat. 45, 101-104 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 104-108 (1991). MSC: 60D05 60G40 60G25 × Cite Format Result Cite Review PDF
Nagel, S. Parallel sections in stereology. II. (English) Zbl 0606.62026 Forschungsergeb., Friedrich-Schiller-Univ. Jena N/86/24, 10 p. (1986). MSC: 62F10 60D05 62F99 × Cite Format Result Cite Review PDF
Nagel, S. Parallel sections in stereology. I. (English) Zbl 0606.62025 Forschungsergeb., Friedrich-Schiller-Univ. Jena N/86/05, 23 p. (1986). MSC: 62F10 60D05 62F99 × Cite Format Result Cite Review PDF
Zajtsev, G. Yu.; Semenkova, E. V. Integral estimation of deviations of two sets on the plane in sections by unit circumferences. (Russian) Zbl 0603.52004 Primen. Funkts. Anal. Teor. Priblizh. 1984, 31-36 (1984). MSC: 52A22 51M20 41A65 × Cite Format Result Cite Review PDF
Zajtsev, G. Yu.; Sheremet, O. B. Integral estimation of deviations of two sets in sections by hyperplanes passing through a fixed point. (Russian) Zbl 0603.52003 Primen. Funkts. Anal. Teor. Priblizh. 1984, 36-45 (1984). MSC: 52A22 51M20 41A65 × Cite Format Result Cite Review PDF
Voss, Klaus Planar random sections of polyhedrons. (English) Zbl 0553.60016 Elektron. Inform.-verarb. Kybernetik 20, 295-299 (1984). MSC: 60D05 52A22 × Cite Format Result Cite Review PDF
Weil, Wolfgang Stereology: A survey for geometers. (English) Zbl 0534.52002 Convexity and its applications, Collect. Surv., 360-412 (1983). Reviewer: F.Flohr, J.A.Wieacker MSC: 52A22 60D05 53C65 52-02 × Cite Format Result Cite Review PDF
Voß, Klaus Exakte stereologische Formeln und Näherungslösungen für konvexe Körper. (German) Zbl 0471.60021 Elektron. Inform.-verarb. Kybernetik 16, 485-491 (1980). MSC: 60D05 52A22 × Cite Format Result Cite Review PDF
Burton, G. R. Skeleta and sections of convex bodies. (English) Zbl 0421.52009 Mathematika 27, 97-103 (1980). MSC: 52A22 52Bxx × Cite Format Result Cite Review PDF Full Text: DOI