We determine the logarithmic Sobolev constant for the Bernoulli-
Laplace model and the time to stationarity for the symmetric simple
exclusion model up to the leading order. Our method for proving the
logarithmic Sobolev inequality is based on a martingale approach and
is applied to the random transposition model as well. The proof for
the time to stationarity is based on a general observation relating
the time to stationarity to the hydrodynamical limit.

Joint work with T-Y Lee.

Lecture #10808

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