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arXiv · 0901.1765

Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group

James Inglis·Ioannis Papageorgiou
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Abstract

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 associated to such generators. We prove that a certain class of nontrivial Gibbs measures with quadratic interaction potential on an infinite product of Heisenberg groups satisfy logarithmic Sobolev inequalities.

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James Inglis, Ioannis Papageorgiou. 2011-04-18. Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group. https://doi.org/10.1007/s11118-009-9126-8

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