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math.FA2009★ 17 cited
Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group
James Inglis, Ioannis Papageorgiou
The Heisenberg group is one of the simplest sub-Riemannian settings in which we can define non-elliptic Hörmander type generators. We can then consider coercive inequalities associ…
math.FA2009★ 3 cited
The Logarithmic Sobolev Inequality for Gibbs measures on infinite product of Heisenberg groups
Ioannis Papageorgiou
We are interested in the Logarithmic Sobolev inequality for probability measures on the infinite product of Heisenberg groups. We assume that the one site boundary free measure…
math.FA2009★ 5 cited
The Logarithmic Sobolev Inequality in Infinite dimensions for Unbounded Spin Systems on the Lattice with non Quadratic Interactions
Ioannis Papageorgiou
We are interested in the Logarithmic Sobolev Inequality for the infinite volume Gibbs measure with no quadratic interactions. We consider unbounded spin systems on the one dimensio…