Almost isoperimetric extremisers of two subriemannian probability measures

2025/09/13 by Yaozhong W. Qiu, Qiu, Yaozhong W.
Economics, Econometrics and Finance · #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2509.10889

Abstract

We prove the existence of almost isoperimetric extremisers for two classes of probability measures defined respectively on the Grushin space and a stratified Lie group. It turns out such extremisers can be regarded as a type of anisotropic half-space.

Citations

• Optimal subelliptic super-Poincaré and isoperimetric inequalities on stratified Lie groups

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