Abstract
We study the spectral theory of a reversible Markov chain This random walk depends on a parameter$h\in ]0,h_{0}]$which is roughly the size of each step of the walk. We prove uniform bounds with respect to$h$on the rate of convergence to equilibrium, and the convergence when$h\rightarrow 0$to the associated hypoelliptic diffusion.
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Schedule a callMore From: Journal of The Institute of Mathematics of Jussieu
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