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Poincaré inequalities and hitting times
Poincar´ e inequalities Lyapunov functions hitting times log-concave measures
2011/2/25
Equivalence of the spectral gap, exponential integrability of hitting times and Lyapunov conditions are well known. We give here the correspondance (with quantitative results) for reversible diffusion...
Let T(μ)1 be the first hitting time of the point 1 by the Bessel process with index μ ∈ R
starting from x > 1.