20 citations · 33 across the 14 of their papers we have counts for
7 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…
Coercive Inequalities in Higher-Dimensional Anisotropic Heisenberg Group
Esther Bou Dagher, Boguslaw Zegarlinski
In the setting of higher-dimensional anisotropic Heisenberg group, we compute the fundamental solution for the sub-Laplacian, and we prove Poincaré and Logarithmic Sobolev ineq…
Coercive Inequalities and U-Bounds
Esther Bou Dagher, Boguslaw Zegarlinski
We prove Poincaré and Log-Sobolev inequalities for probability measures on step-two Carnot groups.
Higher Order Coercive Inequalities
Yifu Wang, Boguslaw Zegarlinski
We study the higher order q- Poincaré and other coercive inequalities for a class probability measures satisfying Adam's regularity condition.
-Poincaré inequalities on Carnot Groups with filiform type Lie algebra
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this paper, we prove (global) -Poincaré inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under…