Abstract
We discuss a natural extension of Gilles Pisier’s approach to the study of measure concentration, isoperimetry, and Poincaré-type inequalities. This approach allows one to explore counterparts of various results about Gaussian measures in the class of rotationally invariant probability distributions on Euclidean spaces, including multidimensional Cauchy measures.
| Original language | English (US) |
|---|---|
| Article number | 45 |
| Journal | Electronic Journal of Probability |
| Volume | 29 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024, Institute of Mathematical Statistics. All rights reserved.
Keywords
- Cauchy measures
- Gaussian measures
- Sobolev-type inequalities