Proves curvature-dimension criterion and optimal logarithmic Sobolev inequalities for generalised Cauchy measures with explicit constants, enabling concentration inequalities including in dimension two.
Spectral gap f or spherically symmetric log-concave probability measures, and beyond
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Logarithmic Sobolev inequalities for generalised Cauchy measures
Proves curvature-dimension criterion and optimal logarithmic Sobolev inequalities for generalised Cauchy measures with explicit constants, enabling concentration inequalities including in dimension two.