Average mixed volume under projection
arXiv:1410.5756
Originality Synthesis-oriented
AI Analysis
Provides a theoretical result for convex geometry, likely incremental for specialists.
The paper derives an upper bound for the average mixed volume of random projections of convex bodies in terms of a quermassintegral, generalizing known results for volume.
The average mixed volume of a random projection of $d$ convex bodies in $\mathbb R^n$ is bounded above in terms of a quermassintegral.