A gap in the Morse index of minimal hypersurfaces in the product of spheres. (English) Zbl 07845667
Reviewer: Zdzisław Dzedzej (Gdańsk)
Found 181 Documents (Results 1–100)
Extremal arrangements of points in the sphere for weighted cone-volume functionals. (English) Zbl 07745157
Uryson width of three dimensional mean convex domain with non-negative Ricci curvature. (English) Zbl 1532.53063
Reviewer: Alcides De Carvalho (Maceió)
A short note about \(1\)-width of lens spaces. (English) Zbl 1525.53012
Reviewer: Dorin Andrica (Riyadh)
Sections of convex bodies in John’s and minimal surface area position. (English) Zbl 1511.52003
Reviewer: Martin Henk (Berlin)
Compressed sensing with 1D total variation: breaking sample complexity barriers via non-uniform recovery. (English) Zbl 1487.94040
Computing Shapley values for Mean width in 3-D. (English) Zbl 07788640
Ahn, Hee-Kap (ed.) et al., 32nd international symposium on algorithms and computation, ISAAC 2021, Fukuoka, Japan, December 6–8, 2021. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 212, Article 67, 17 p. (2021).
MSC:
68Wxx
Large deviations of convex hulls of planar random walks and Brownian motions. (Grandes déviations pour l’enveloppe convexe de marches aléatoires et de mouvements Browniens dans le plan.) (English. French summary) Zbl 1483.60015
Improving Hall’s accelerated sequential procedure: generalized multistage fixed-width confidence intervals for a normal mean. (English) Zbl 1473.62279
Sharp inequalities for the mean distance of random points in convex bodies. (English) Zbl 1467.52010
\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? (English) Zbl 1460.94021
Quantized compressive sensing with RIP matrices: the benefit of dithering. (English) Zbl 1470.94060
MSC:
94A12
EDA on the asymptotic normality of the standardized sequential stopping times. II: Distribution-free models. (English) Zbl 1461.62143
Uniqueness of a three-dimensional ellipsoid with given intrinsic volumes. (English) Zbl 1457.52007
Reviewer: Boris Rubin (Baton Rouge)
Poisson hyperplane processes and approximation of convex bodies. (English) Zbl 1479.60018
Reviewer: Ngoc Mai Tran (Bonn)
Generalizing CoSaMP to signals from a union of low dimensional linear subspaces. (English) Zbl 1436.94019
MSC:
94A12
On estimates in \(L_2(\mathbb{R} )\) of mean \(\nu \)-widths of classes of functions defined via the generalized modulus of continuity of \(\omega_\mathcal{M} \). (English. Russian original) Zbl 1429.41027
Math. Notes 106, No. 2, 191-202 (2019); translation from Mat. Zametki 106, No. 2, 198-211 (2019).
Localized Gaussian width of \(M\)-convex hulls with applications to Lasso and convex aggregation. (English) Zbl 1428.62328
On the volume of Boolean expressions of large congruent balls. (English) Zbl 1501.52003
Conder, Marston D. E. (ed.) et al., Discrete geometry and symmetry. Dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays. Selected papers based on the presentations at the conference ‘Geometry and symmetry’, Veszprém, Hungary, June 29 – July 3, 2015. Cham: Springer. Springer Proc. Math. Stat. 234, 71-86 (2018).
The mean width and integral geometric properties of the oloid. (English) Zbl 1412.53010
Reviewer: Laurian Ioan Piscoran (Baia Mare)
Around the simplex mean width conjecture. (English) Zbl 1402.52009
Bianchi, Gabriele (ed.) et al., Analytic aspects of convexity. Selected papers based on the presentations at the conference, Rome, Italy, October 10–14, 2016. Cham: Springer (ISBN 978-3-319-71833-0/hbk; 978-3-319-71834-7/ebook). Springer INdAM Series 25, 73-84 (2018).
The \((p,m)\)-width of Riemannian manifolds and its realization. (English) Zbl 1433.53093
Reviewer: Marina Ville (Paris)
An extremal property of \(p\)-mean width. (English) Zbl 1390.52015
MSC:
52A40
Instabilities of internal gravity wave beams. (English) Zbl 1384.76018
Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 50. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0750-9/hbk). Annual Review of Fluid Mechanics 50, 131-156 (2018).
Mean width of regular polytopes and expected maxima of correlated Gaussian variables. (English. Russian original) Zbl 1381.52010
J. Math. Sci., New York 225, No. 5, 770-787 (2017); translation from Zap. Nauchn. Semin. POMI 442, 75-96 (2015).
Reviewer: Florian Pausinger (Belfast)
Exact constants in Jackson-type inequalities for the best mean square approximation in \(L_2(\mathbb{R})\) and exact values of mean \(\nu\)-widths of the classes of functions. (English. Ukrainian original) Zbl 1371.41037
J. Math. Sci., New York 224, No. 4, 582-603 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 543-569 (2016).
The characteristic properties of the minimal \(L_p\)-mean width. (English) Zbl 1369.52007
MSC:
52A20
Random ball-polyhedra and inequalities for intrinsic volumes. (English) Zbl 1367.52006
Reviewer: Florian Pausinger (Garching)
On the application of linear positive operators for approximation of functions. (English. Russian original) Zbl 1360.41012
Math. Notes 100, No. 5, 666-676 (2016); translation from Mat. Zametki 100, No. 5, 689-700 (2016).
Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls. (English) Zbl 1366.60025
Reviewer: Nikita Evseev (Novosibirsk)
An optimal confidence region for the largest and the smallest means from a multivariate normal distribution. (English) Zbl 1360.62419
MSC:
62K05
Distances between classical positions of centrally symmetric convex bodies. (English) Zbl 1337.52009
Reviewer: Pedro Martín Jiménez (Badajoz)
On the mean-width of isotropic convex bodies and their associated \(L_{p}\)-centroid bodies. (English) Zbl 1319.52007
MSC:
52A20
On steepest descent curves for quasi convex families in \(\mathbb R^n\). (English) Zbl 1318.52004
Reviewer: Mihai Turinici (Iaşi)
On the Gaussian behavior of marginals and the mean width of random polytopes. (English) Zbl 1310.52006
Reviewer: Viktor Ohanyan (Erevan)
Maximal surface area of a convex set in \(\mathbb{R}^{n}\) with respect to log concave rotation invariant measures. (English) Zbl 1330.52006
Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 2011–2013. Cham: Springer (ISBN 978-3-319-09476-2/pbk; 978-3-319-09477-9/ebook). Lecture Notes in Mathematics 2116, 355-383 (2014).
Reviewer: Yurii G. Nikonorov (Volgodonsk)
Mean approximation of functions on the real axis by algebraic polynomials with Chebyshev-Hermite weight and widths of function classes. (English. Russian original) Zbl 1314.41010
Math. Notes 95, No. 5, 599-614 (2014); translation from Mat. Zametki 95, No. 5, 666-684 (2014).
Dimension reduction by random hyperplane tessellations. (English) Zbl 1296.52014
Reviewer: Kelly J. Pearson (Murray)
Relative entropies for convex bodies. (English) Zbl 1304.52004
Reviewer: Yurii G. Nikonorov (Volgodonsk)
Support functions and mean width for \(\alpha\)-concave functions. (English) Zbl 1296.26046
Reviewer: Krzysztof Ciepliński (Kraków)
On the \(L_p\)-dual mixed volumes. (English) Zbl 1291.52010
Reviewer: Yurii G. Nikonorov (Volgodonsk)
On some extremal problems of approximation theory of functions on the real axis. II. (English. Russian original) Zbl 1275.41036
J. Math. Sci., New York 190, No. 4, 613-630 (2013); translation from Ukr. Mat. Visn. 9, No. 4, 578-602 (2012).
MSC:
41A50
Estimating support functions of random polytopes via Orlicz norms. (English) Zbl 1279.60021
Reviewer: Paolo Dulio (Milano)
On the mean width of log-concave functions. (English) Zbl 1264.26016
Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GFA) 2006-2010. Berlin: Springer (ISBN 978-3-642-29848-6/pbk; 978-3-642-29849-3/ebook). Lecture Notes in Mathematics 2050, 355-372 (2012).
On the distribution of the \(\psi_2\)-norm of linear functionals on isotropic convex bodies. (English) Zbl 1273.52005
Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GFA) 2006-2010. Berlin: Springer (ISBN 978-3-642-29848-6/pbk; 978-3-642-29849-3/ebook). Lecture Notes in Mathematics 2050, 227-253 (2012).
Reviewer: Vladimir Golubyatnikov (Novosibirsk)
Mean width inequalities for isotropic measures. (English) Zbl 1250.52003
Reviewer: Anatoliy Milka (Kharkov)
Some properties of secantoptics of ovals. (English) Zbl 1247.53006
Reviewer: Anton Gfrerrer (Graz)
MSC:
53A04
53C44
Symmetry results for overdetermined problems on convex domains via Brunn-Minkowski inequalities. (English) Zbl 1235.35203
Reviewer: Florin Catrina (New York)
Comparing the \(M\)-position with some classical positions of convex bodies. (English) Zbl 1246.52007
Reviewer: Yurii G. Nikonorov (Volgodonsk)
MSC:
52A20
Width and flow of hypersurfaces by curvature functions. (English) Zbl 1235.53067
Reviewer: Vicente Cortés (Hamburg)
MSC:
53C44
Parallel bodies and normals of convex bodies. (English) Zbl 1213.52004
Reviewer: Vladimir Golubyatnikov (Novosibirsk)
MSC:
52A20
Convex bodies with minimal \(p\)-mean width. (English) Zbl 1215.52006
Reviewer: Horst Martini (Chemnitz)
The mean width of circumscribed random polytopes. (English) Zbl 1209.52005
Reviewer: Paolo Dulio (Milano)
On the volume of caps and bounding the mean-width of an isotropic convex body. (English) Zbl 1201.52004
Reviewer: Salvador Gomis (Alicante)
The mean width of random polytopes circumscribed around a convex body. (English) Zbl 1191.52003
Reviewer: Viktor Oganyan (Erevan)
Mean width of random polytopes in a reasonably smooth convex body. (English) Zbl 1221.52008
Reviewer: Loredana Sorrenti (Messina)
MSC:
52A22
Asymptotic shape of a random polytope in a convex body. (English) Zbl 1221.52009
Reviewer: Loredana Sorrenti (Messina)
Width and mean curvature flow. (English) Zbl 1165.53363
A Favard-type problem for 3d convex bodies. (English) Zbl 1149.52007
Reviewer: A. C. Thompson (Halifax)
Width of convex bodies in spaces of constant curvature. (English) Zbl 1144.52006
Reviewer: Andreas Bernig (Fribourg)
Extremal mean width when covering the 1-skeleton. (English) Zbl 1144.52019
Reviewer: Andreas Bernig (Fribourg)
Stable determination of convex bodies from projections. (English) Zbl 1118.52007
Reviewer: Konrad Swanepoel (Chemnitz)
Circumscribed simplices of minimal mean width. (English) Zbl 1121.52007
Reviewer: Salvador Gomis (Alicante)
Eternal solutions to the Ricci flow on \(\mathbb R^2\). (English) Zbl 1127.53057
Reviewer: Adela-Gabriela Mihai (Bucureşti)
MSC:
53C44
A question of geometry and probability. (English) Zbl 1268.52006
Dasgupta, Anirban (ed.), A Festschrift for Herman Rubin. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-61-7/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 45, 337-341 (2004).
Geometric estimates for the logarithmic fast diffusion equation. (English) Zbl 1070.53041
Reviewer: John Urbas (Canberra)
Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length. (English) Zbl 1030.82006
MSC:
82C10
A note on local volume asymptotics for unions of random closed sets. (English) Zbl 1098.60013
Ukrainian mathematical congress – 2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 9. Probability theory and mathematical statistics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2616-0). 131-138 (2002).
Limit theorems for certain functionals of unions of random closed sets. (English) Zbl 1032.60033
Theory Probab. Appl. 47, No. 1, 79-90 (2002) and Teor. Veroyatn. Primen. 47, No. 1, 130-142 (2002).
MSC:
60F17
Variance asymptotics and central limit theorems for volumes of unions of random closed sets. (English) Zbl 1018.60012
Reviewer: Ilya S.Molchanov (Bern)
A geometric approach to duality of metric entropy. (English. Abridged French version) Zbl 0983.46013
Reviewer: M.Turinici (Iaşi)
Remarks on Minkowski symmetrizations. (English) Zbl 0982.52006
Milman, V. D. (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996-2000. Berlin: Springer. Lect. Notes Math. 1745, 109-117 (2000).
Reviewer: Daniel Hug (Freiburg)
Convex bodies with minimal mean width. (English) Zbl 0978.52001
Milman, V. D. (ed.) et al., Geometric aspects of functional analysis. Proceedings of the Israel seminar (GAFA) 1996-2000. Berlin: Springer. Lect. Notes Math. 1745, 81-93 (2000).
Reviewer: E.Heil (Darmstadt)
Motion of hypersurfaces by Gauss curvature. (English) Zbl 1028.53072
Reviewer: A.Morimoto (Nagoya)
MSC:
53C44
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