On some inequalities for Gaussian measures
Rafa{\l} Lata{\l}a
TL;DR
This paper reviews key inequalities related to Gaussian measures, including isoperimetric, Ehrhard's, Bobkov's, S-inequality, and the correlation conjecture, highlighting their significance and interrelations.
Contribution
It provides a comprehensive overview of fundamental Gaussian measure inequalities, clarifying their roles and connections in probability and geometric analysis.
Findings
Summarizes main Gaussian measure inequalities
Discusses implications for probability theory
Highlights open problems and conjectures
Abstract
We review several inequalities concerning Gaussian measures - isoperimetric inequality, Ehrhard's inequality, Bobkov's inequality, S-inequality and correlation conjecture.
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Taxonomy
TopicsPoint processes and geometric inequalities · Numerical methods in inverse problems · Stochastic processes and financial applications