4. Mathematics
  5. Analysis of PDEs

Michel Bonnefont

Mathematics – Analysis of PDEs

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A discrete version and stability of Brunn Minkowski inequality

Mathematics – Metric Geometry
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A sub-Riemannian curvature-dimension inequality, volume doubling property and the Poincaré inequality

Mathematics – Differential Geometry
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Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality

Mathematics – Functional Analysis
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On gradient bounds for the heat kernel on the Heisenberg group

Mathematics – Probability
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Sub-Riemannian balls in CR Sasakian manifolds

Mathematics – Differential Geometry
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