This is an expository paper on the use of logarithmic Sobolev inequalities for bounding rates of convergence of Markov chains on finite state spaces to their stationary distributions. Logarithmic ...
Abstract. For f analytic and close to convex in D = {z : |z| < 1}, we give sharp estimates for the logarithmic coefficients γn of f defined by log f ( z ) z = 2 ∑ n = 1 ∞ γ n z n when n = 1, 2, 3.
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