Found 112 Documents (Results 1–100)
Surface area and volume of excursion sets observed on point cloud based polytopic tessellations. (English) Zbl 07900405
Rotational Crofton formulae with a fixed subspace. (English) Zbl 1534.53065
Reviewer: Rolf Schneider (Freiburg im Breisgau)
On the finiteness of the moments of the measure of level sets of random fields. (English) Zbl 1511.60074
Complex Crofton formula. (Russian. English summary) Zbl 1538.53101
Crofton formulas in pseudo-Riemannian space forms. (English) Zbl 1502.53108
Reviewer: Boris Rubin (Baton Rouge)
Crofton formulae for products. (English) Zbl 1504.52003
Reviewer: Zdeněk Dušek (České Budějovice)
Estimation of surface area. (English) Zbl 1493.62149
Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? (English) Zbl 1478.60042
Absorption probabilities for Gaussian polytopes and regular spherical simplices. (English) Zbl 1473.60030
Average number of roots of systems of equations. (English. Russian original) Zbl 1450.52005
Funct. Anal. Appl. 54, No. 2, 100-109 (2020); translation from Funkts. Anal. Prilozh. 54, No. 2, 35-47 (2020).
Integral geometry of pairs of hyperplanes or lines. (English) Zbl 1522.52012
Reviewer: Nikita Kalinin (Guangdong)
Cauchy’s work on integral geometry, centers of curvature, and other applications of infinitesimals. (English) Zbl 1442.01010
Reviewer: S. S. Kutateladze (Novosibirsk)
On Holditch’s theorem. (English) Zbl 1440.53002
Reviewer: Ergin Bayram (Samsun)
Uniqueness of the measurement function in Crofton’s formula. (English) Zbl 1432.52003
Reviewer: Gabriela Cristescu (Arad)
Uniformly distributed sequences in the orthogonal group and on the Grassmannian manifold. (English) Zbl 1540.60009
Contact integral geometry and the Heisenberg algebra. (English) Zbl 1432.53107
Reviewer: Mihail Banaru (Smolensk)
A lower bound on opaque sets. (English) Zbl 1428.52003
Reviewer: Pedro Martín Jiménez (Badajoz)
MSC:
52A10
Average number of zeros and mixed symplectic volume of Finsler sets. (English) Zbl 1414.52004
Reviewer: Zdeněk Dušek (Ceske Budejovice)
Crofton formulae for tensorial curvature measures: the general case. (English) Zbl 1442.52004
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. Springer INdAM Ser. 25, 39-60 (2018).
Reviewer: Danail Brezov (Sofia)
Minkowski valuations and generalized valuations. (English) Zbl 1398.52018
Reviewer: Rolf Schneider (Freiburg i. Br.)
An estimate for the average number of common zeros of Laplacian eigenfunctions. (English. Russian original) Zbl 1395.53057
Trans. Mosc. Math. Soc. 2017, 123-130 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 145-154 (2017).
Kinematic formulas for area measures. (English) Zbl 1376.52005
Reviewer: Vladimir Golubyatnikov (Novosibirsk)
Crofton formulae for tensor-valued curvature measures. (English) Zbl 1375.53095
Vedel Jensen, Eva B. (ed.) et al., Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014. Cham: Springer (ISBN 978-3-319-51950-0/pbk; 978-3-319-51951-7/ebook). Lecture Notes in Mathematics 2177, 111-156 (2017).
Reviewer: Andreas Bernig (Frankfurt)
MSC:
53C65
Integral geometry and algebraic structures for tensor valuations. (English) Zbl 1376.52021
Vedel Jensen, Eva B. (ed.) et al., Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014. Cham: Springer (ISBN 978-3-319-51950-0/pbk; 978-3-319-51951-7/ebook). Lecture Notes in Mathematics 2177, 79-109 (2017).
Reviewer: Christian Richter (Jena)
Geometric probability on the sphere. (English) Zbl 1401.60019
Reviewer: Florian Pausinger (Belfast)
On the tangent model for the density of lines and a Monte Carlo method for computing hypersurface area. (English) Zbl 1360.65071
A lower bound on opaque sets. (English) Zbl 1391.52005
Fekete, Sándor (ed.) et al., 32nd international symposium on computational geometry, SoCG’16, Boston, MA, USA, June 14–17, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-009-5). LIPIcs – Leibniz International Proceedings in Informatics 51, Article 46, 10 p. (2016).
The Fenchel-type inequality in the 3-dimensional Lorentz space and a Crofton formula. (English) Zbl 1365.52010
Perimeters of Fermat ovals. (English) Zbl 1348.52004
Surface tensor estimation from linear sections. (English) Zbl 1331.52008
Reviewer: Florian Pausinger (Garching)
Deformation of singularities and additive invariants. (English) Zbl 1325.14015
Reviewer: Jan Stevens (Göteborg)
Rotational integral geometry of tensor valuations. (English) Zbl 1261.53075
Reviewer: Jan Kurek (Lublin)
The Gauss-Bonnet theorem and Crofton-type formulas in complex space forms. (English) Zbl 1262.53066
Reviewer: Valery Vladimirovich Volchkov (Donetsk)
Integral geometry for the 1-norm. (English) Zbl 1252.53088
Reviewer: Erhard Heil (Darmstadt)
Hermitian integral geometry. (English) Zbl 1230.52014
Reviewer: Vitaly Vladimirovich Volchkov (Donetsk)
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods. (English) Zbl 1205.68344
MSC:
68T10
Total curvature of complete surfaces in hyperbolic space. (English) Zbl 1200.53066
Reviewer: Vasyl Gorkaviy (Kharkov)
Central limit theorems for motion-invariant Poisson hyperplanes in expanding convex bodies. (English) Zbl 1470.60049
Caristi, Giuseppe (ed.), Proceedings of the VIIth international conference in “Stochastic geometry, convex bodies, empirical measures and applications to mechanics and engineering train-transport”, Messina, Italy, April 22–24, 2009. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo (2) 81, 187-212 (2009).
Crofton formula in hyperbolic space form. (Chinese. English summary) Zbl 1212.53105
\(g\)-chordal curves. (English) Zbl 1187.53003
Reviewer: Friedrich Manhart (Wien)
MSC:
53A04
Integral geometry of tensor valuations. (English) Zbl 1158.52004
Reviewer: Anatoliy Milka (Kharkov)
Multivariate integration of functions depending explicitly on the minimum and the maximum of the variables. (English) Zbl 1134.28012
MSC:
28E99
A contribution to geometric inequalities in Euclidean space forms. (English) Zbl 1143.53069
Reviewer: B. Rouxel (Quimper)
Quasi monomiality and linearization coefficients for Sheffer polynomial sets. (English) Zbl 1125.33003
Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 90-99 (2007).
Reviewer: Stamatis Koumandos (Nicosia)
Integral geometric tools for stochastic geometry. (English) Zbl 1128.60013
Weil, Wolfgang (ed.), Stochastic geometry. Lectures given at the C.I.M.E. summer school held in Martina Franca, Italy, September 13–18, 2004. With additional contributions by D. Hug, V. Capasso, E. Villa. Berlin: Springer (ISBN 3-540-38174-0/pbk). Lecture Notes in Mathematics 1892, 119-184 (2007).
Reviewer: Daniel Hlubinka (Praha)
Valuations with Crofton formula and Finsler geometry. (English) Zbl 1128.53047
Reviewer: I. G. Nikolaev (Urbana)
Crofton measures in projective Finsler spaces. (English) Zbl 1125.53016
Grinberg, Eric L. (ed.) et al., Integral geometry and convexity. Proceedings of the international conference, Wuhan, China, October 18–23, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-513-2/hbk). 67-98 (2006).
Reviewer: Nabil L. Youssef (Giza)
Geometry of reflective submanifolds in Riemannian symmetric spaces. (English) Zbl 1104.53048
Reviewer: Ana Pereira do Vale (Braga)
Equipower curves. (English) Zbl 1095.51003
Reviewer: Kurt Leichtweiß (Stuttgart)
Crofton formulae by reflective submanifolds in complex space forms. (English) Zbl 1077.53062
Suh, Young Jin (ed.) et al., Proceedings of the 9th international workshop on differential geometry, Taegu, Korea, November 12–13, 2004. Taegu: Kyungpook National University. 41-50 (2004).
Reviewer: Paolo Dulio (Milano)
Towards Nevanlinna theory as a geometric model for Diophantine approximation. (English) Zbl 1115.11043
Reviewer: Paul Vojta (Berkeley)
Tensor valuations on convex bodies and integral geometry. II. (English) Zbl 1117.52006
Schneider, Rolf (ed.) et al., IV international conference in “Stochastic geometry, convex bodies, empirical measures and applications to engineering science”, Tropea, Italy, September 24–29, 2001. Vol. II. Palermo: Circolo Matematico di Palermo. Suppl. Rend. Circ. Mat. Palermo, II. Ser. 70, 295-314 (2002).
Reviewer: Viktor Oganyan (Erevan)
Absolute curvature measures for unions of sets with positive reach. (English) Zbl 1101.28004
Reviewer: Paolo Dulio (Milano)
Determination of the mean normal measure from isotropic means of flat sections. (English) Zbl 1018.60011
Reviewer: Paolo Dulio (Milano)
On Crofton’s formula for non-convex figures on \(S^2\). (English) Zbl 1046.53052
Reviewer: Paolo Dulio (Milano)
An integral formula and its applications. (English) Zbl 1008.53059
Reviewer: A.P.Stone (Albuquerque)
MSC:
53C65
Generalized Crofton formulae. (English. Russian original) Zbl 1035.53106
Russ. Math. Surv. 56, No. 3, 589-591 (2001); translation from Usp. Mat. Nauk 56, No. 3, 175-176 (2001).
Reviewer: Ülo Lumiste (Tartu)
Stochastic geometry. (Stochastische Geometrie.) (German) Zbl 0964.52009
Teubner Skripten zur Mathematischen Stochastik. Leipzig: B. G. Teubner. viii, 359 p. (2000).
Reviewer: Daniel Hug (Freiburg)
The distribution of volume reductions induced by isotropic random projections. (English) Zbl 0949.60024
Reviewer: J.-C.Massé (Quebec)
Absolute continuity for curvature measures of convex sets. II. (English) Zbl 0954.52006
Reviewer: W.Weil (Karlsruhe)
Section and projection means of convex bodies. (English) Zbl 0922.52001
Reviewer: S.Vassallo (Milano)
Crofton formulae and geodesic distance in hyperbolic spaces. (English) Zbl 0891.43005
Reviewer: K.Riives (Tartu)
MSC:
43A85
A first course in differential geometry. (English) Zbl 0948.53001
Cambridge, MA: International Press. xviii, 343 p. (1997).
Reviewer: Mircea Craioveanu (Timişoara)
Mean bodies associated with random closed sets. (English) Zbl 0891.60017
Stoka, Marius I. (ed.), Second international conference in stochastic geometry, convex bodies and empirical measures, Agrigento, Italy, September 9–14, 1996. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 50, 387-412 (1997).
MSC:
60D05
A generalization of intersection formulae of integral geometry. (English) Zbl 0909.52002
Reviewer: Maria Moszyńska (Warszawa)
Integral geometry in Minkowski spaces. (English) Zbl 0893.53028
Reviewer: A.V.Borisov (Sofia)
MSC:
53C65
On areas and integral geometry in Minkowski spaces. (English) Zbl 0889.52005
Reviewer: W.Weil (Karlsruhe)
Isoptics of a closed strictly convex curve. II. (English) Zbl 0881.53003
Reviewer: Bernd Wegner (Berlin)
Mixed curvature measures for sets of positive reach and a translative integral formula. (English) Zbl 0844.53050
Reviewer: G.Stanilov (Sofia)
Rotational versions of the Crofton formula. (English) Zbl 0818.60012
MSC:
60D05
Integral geometry. (Japanese) Zbl 0812.53055
Sophia Kokyuroku in Mathematics. 37. Tokyo: Sophia Univ., Dept. of Mathematics, iv, 119 p. (1994).
Reviewer: K.Ogiue (Tokyo)
Kinematic formulas for mean curvature powers of hypersurfaces and Hadwiger’s theorem in \(\mathbb{R}^{2n}\). (English) Zbl 0816.53040
Reviewer: E.Teufel (Stuttgart)
Kinematic formula for square mean curvature of hypersurfaces. (English) Zbl 0816.53039
Reviewer: E.Teufel (Stuttgart)
Hausdorff measures of sets which intersect sufficiently many linear subspaces. (English) Zbl 0831.28006
Unbiased stereological estimation of \(d\)-dimensional volume in \(\mathbb{R}^ n\) from an isotropic random slice through a fixed point. (English) Zbl 0792.60010
The kinematic formula in Riemannian homogeneous spaces. (English) Zbl 0810.53057
Mem. Am. Math. Soc. 509, 69 p. (1993).
Reviewer: E.Teufel (Stuttgart)
Crofton densities and nonlocal differentials. (English) Zbl 0801.53055
Corwin, L. (ed.) et al., The Gelfand Seminars, 1990-1992. Basel: Birkhäuser. 35-50 (1993).
Reviewer: E.Teufel (Stuttgart)
Absolute curvature measures. II. (English) Zbl 0765.53054
Reviewer: E.Teufel (Stuttgart)
On equichordal curves. (English) Zbl 0726.53001
Reviewer: Bernd Wegner (Berlin)
MSC:
53A04
Isoptics of a closed strictly convex curve. (English) Zbl 0739.53001
Global differential geometry and global analysis, Proc. Conf., Berlin/Ger. 1990, Lect. Notes Math. 1481, 28-35 (1991).
Reviewer: Bernd Wegner (Berlin)
A study of the action from kinematical integral geometry point of view. (English) Zbl 0729.53060
Reviewer: L.A.Santaló (Buenos Aires)
On isoptic curves. (English) Zbl 0725.52002
Reviewer: Mikail Katz (Vandoeuvre)
On the covariance of the boundary of a set. (English) Zbl 0705.60014
Reviewer: W.J.Firey
MSC:
60D05
An integral formula of Crofton type for smooth curves and sets of (n-2)- planes. (Bulgarian. English summary) Zbl 0623.53030
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