20 citations · 33 across the 14 of their papers we have counts for
3 papers · 1 filter
Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions
Esther Bou Dagher, Yaozhong Qiu, Boguslaw Zegarlinski +1
We develop a general framework for spectral gap inequalities for Gibbs measures on infinite dimensional spin spaces over nilpotent Lie groups in terms of weak U-bounds and weak sin…
Poincaré inequalities on Carnot Groups and spectral gap of Schrödinger operators
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this work we give a sufficient condition under which the global Poincaré inequality on Carnot groups holds true for a large family of probability measures absolutely continuous…
Logarithmic Schrödinger Equations in Infinite Dimensions
Larry Read, Boguslaw Zegarlinski, Mengchun Zhang
We study the logarithmic Schrödinger equation with finite range potential on . Through a ground-state representation, we associate and construct a global…