A note on a Brunn-Minkowski inequality for the Gaussian measure

By Piotr Nayar, T. Tkocz. 2012

50 citations recorded by the source corpus.

We give the counter-examples related to a Gaussian Brunn- Minkowski inequality and the (B) conjecture.

Subfields: Applied Mathematics, Molecular Biology

View Paper: https://www.semanticscholar.org/paper/efdf8fcfb7589d99afc6455a4041e937ce340267

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Georgios Moschidis
2. Alexandros Eskenazis
3. Andrea Colesanti
4. Galyna V. Livshyts
5. Arnaud Marsiglietti
6. Emanuel Milman
7. A. V. Kolesnikov
8. M. Fimiani

In Molecular Biology

1. Andrea Colesanti
2. Georgios Moschidis
3. Galyna V. Livshyts
4. Arnaud Marsiglietti
5. Alexandros Eskenazis

Citations in the corpus

• On the stability of Brunn–Minkowski type inequalities (2016, background): “Moreover, Nayar and Tkocz [20] constructed an example in which (4) fails for the Gaussian measure while both A and B contain the origin.”
• The dimensional Brunn–Minkowski inequality in Gauss space (2020, result): “A counterexample to this statement was produced by Nayar and Tkocz in [NT13], yet the possibility of such an inequality being true for all origin symmetric convex sets remained open.”