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arxiv: 1407.4910 · v2 · pith:UV6E7JJWnew · submitted 2014-07-18 · 🧮 math.PR

Weak Poincar\'e Inequality for Convolution Probability Measures

classification 🧮 math.PR
keywords measuresprobabilityconvolutionpoincarresultsweakalongapplied
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By using Lyapunov conditions, weak Poincar\'e inequalities are established for some probability measures on a manifold $(M,g)$. These results are further applied to the convolution of two probability measures on $\R^d$. Along with explicit results we study concrete examples.

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