We show that for a hypoelliptic Dirichlet form operator 𝐴 on a stratified complex Lie group, if the logarithmic Sobolev inequality holds, then a holomorphic projection of 𝐴 is strongly ...
Variational Formulas and Explicit Bounds of Poincaré-Type Inequalities for One-Dimensional Processes
Lecture Notes-Monograph Series, Vol. 41, Probability, Statistics and Their Applications: Papers in Honor of Rabi Bhattacharya (2003), pp. 81-96 (16 pages) This paper serves as a quick and elementary ...
The information presented here is intended to describe the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to replace the ...
Matrix inequalities and convex functions constitute a central theme in modern mathematical analysis, with far‐reaching implications across numerical analysis, optimisation, quantum information, and ...
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