17 citations · 64 across the 23 of their papers we have counts for
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The log-Sobolev inequality with quadratic interactions
Ioannis Papageorgiou
We assume one site measures without a boundary that satisfy a log-Sobolev inequality. We prove that if these measures are perturbed with quadratic interactions, the…
Log-Sobolev inequalities for infinite-dimensional Gibbs measures with non-quadratic interactions
James Inglis, Ioannis Papageorgiou
We focus on the log-Sobolev inequality for spin systems on the lattice with interactions of higher order than quadratic. We show that if the one-dimensional single-site measure wit…
A note on the Modified Log-Sobolev inequality
Ioannis Papageorgiou
A criterion is presented for the Modified Logarithmic Sobolev inequality on metric measure spaces. The criterion based on U-bound inequalities introduced by Hebisch and Zegarlinski…
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…
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…
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…