3 papers
math.AP2026
Quantitative stability for Bakry--Émery log-Sobolev and Talagrand inequalities
Alexandru Kristály, Alexandru Pîrvuceanu
We establish quantitative -stability estimates for the Bakry--Émery log-Sobolev and Talagrand inequalities with a universal exponent of 1/19 governing the corresponding defici…
math.AP2026
-index theory for the Lorentz force equation
Cristian Bereanu, Alexandru Pîrvuceanu
In this paper we prove that the -invariance of the Poincaré action functional associated to the Lorentz force equation gives the existence of multiple critical points which a…
math.AP2025
Hypercontractivity of the heat flow on spaces: sharpness and rigidities
Shouhei Honda, Alexandru Kristály, Alexandru Pîrvuceanu
The main goal of the present paper is to provide sharp hypercontractivity bounds of the heat flow on metric measure spaces. The best consta…