Isoperimetric type inequalities for integral geometric invariants of random lines in the Euclidean space are shown. Entropy inequalities of probability densities on the affine Grassmann manifold of lines are given.
Gaoyong Zhang
. ISOPERIMETRIC INEQUALITIES FOR INTEGRAL GEOMETRIC INVARIANTS OF RANDOM LINES[J]. Acta mathematica scientia, Series B, 2025
, 45(1)
: 189
-199
.
DOI: 10.1007/s10473-025-0115-9
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