Equiaffine inner parallel curves of a plane convex body and the convex hulls of randomly chosen points

[1]  Rolf Schneider,et al.  Extremal problems for geometric probabilities involving convex bodies , 1995, Advances in Applied Probability.

[2]  C. Schütt,et al.  Homothetic floating bodies , 1994 .

[3]  I. Bárány,et al.  Random convex hulls: floating bodies and expectations , 1993 .

[4]  Christian Buchta,et al.  Random polytopes in a convex polytope, independence of shape, and concentration of vertices , 1993 .

[5]  A. Giannopoulos.  On the mean value of the area of a random polygon in a plane convex body , 1992 .

[6]  I. Bárány.  Random polytopes in smooth convex bodies , 1992 .

[7]  Fernando Affentranger,et al.  On the convex hull of uniform random points in a simpled-polytope , 1991, Discret. Comput. Geom..

[8]  M. Meyer,et al.  A geometric property of the boundary of symmetric convex bodies and convexity of flotation surfaces , 1991 .

[9]  C. Schütt.  The convex floating body and polyhedral approximation , 1991 .

[10]  Christian Buchta,et al.  Distribution-independent properties of the convex hull of random points , 1990 .

[11]  Elisabeth M. Werner,et al.  The convex floating body. , 1990 .

[12]  Richard E. Pfiefer,et al.  The Historical Development of J. J. Sylvester's Four Point Problem , 1989 .

[13]  Imre Bárány,et al.  Intrinsic volumes andf-vectors of random polytopes , 1989 .

[14]  Rolf Schneider,et al.  Random approximation of convex sets * , 1988 .

[15]  Fernando Affentranger,et al.  The expected volume of a random polytope in a ball * , 1988 .

[16]  P. Goodey.  Mean square inequalities for chords of convex sets , 1982 .

[17]  L. Rogers.  The probability that two samples in the plane will have disjoint convex hulls , 1978, Journal of Applied Probability.

[18]  N. Bleistein,et al.  Asymptotic Expansions of Integrals , 1975 .

[19]  H. Groemer,et al.  On the mean value of the volume of a random polytope in a convex set , 1974 .

[20]  Thomas Banchoff,et al.  A generalization of the isoperimetric inequality , 1971 .

[21]  B. Efron.  The convex hull of a random set of points , 1965 .

[22]  Kenneth Falconer,et al.  Unsolved Problems In Geometry , 1991 .

[23]  David G. Larman,et al.  Volumes of a Random Polytope in a Convex Set , 1990, Applied Geometry And Discrete Mathematics.

[24]  P. Goodey,et al.  Inequalities Involving Convex Sets and Their Chords , 1984 .