20 citations · 33 across the 14 of their papers we have counts for
15 papers
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…
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.
KMS Dirichlet forms, coercivity and super-bounded Markovian semigroups on von Neumann algebras
Fabio E. G. Cipriani, Boguslaw Zegarlinski
We introduce a construction of Dirichlet forms on von Neumann algebras M associated to any eigenvalue of the Araki modular Hamiltonian of a faithful normal non tracial state, provi…