We study the operator associated to a random walk on $\R^d$ endowed with a
probability measure. We give a precise description of the spectrum of the
operator near $1$ and use it to estimate the total variation distance between
the iterated kernel and its stationary measure. Our study contains the case of
Gaussian densities on $\R^d$.Comment: 19 page

Guillarmou, Colin

Michel, Laurent

English

arXiv

We study the operator associated to a random walk on $\R^d$ endowed with a probability measure. We give a precise description of the spectrum of the operator near $1$ and use it to estimate the total variation distance between the iterated kernel and its stationary measure. Our study contains the case of Gaussian densities on $\R^d$

Spectral analysis of random walk operators on euclidian space

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