A Note on a Brunn-Minkowski Inequality for the Gaussian Measure
Piotr Nayar, Tomasz Tkocz
TL;DR
This paper discusses counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture, highlighting limitations and challenges in extending classical inequalities to Gaussian measures.
Contribution
It provides new counter-examples that challenge existing conjectures about Gaussian Brunn-Minkowski inequalities.
Findings
Counter-examples to Gaussian Brunn-Minkowski inequality
Counter-examples to the (B) conjecture
Insights into limitations of Gaussian measure inequalities
Abstract
We give the counter-examples related to a Gaussian Brunn-Minkowski inequality and the (B) conjecture.
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Taxonomy
TopicsPoint processes and geometric inequalities · Geometric Analysis and Curvature Flows · Morphological variations and asymmetry