| Contents |
| We study the spectral theory of a reversible Markov chain
associated to a hypoelliptic random walk on a manifold $M$. This random walk
depends on a parameter $h\in ]0,h_{0}]$ which is roughly the size of each
step of the walk. Under a Hormander type assumption, we prove
uniform bounds with respect to $h$ on the rate of convergence to equilibrium. |
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