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20162026
most citedBounds for exit times of Brownian motion and the first Dirichlet eigenvalue for the Laplacian

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math.PR2016

Coupling in the Heisenberg group and its applications to gradient estimates

Sayan Banerjee, Maria Gordina, Phanuel Mariano

We construct a non-Markovian coupling for hypoelliptic diffusions which are Brownian motions in the three-dimensional Heisenberg group. We then derive properties of this coupling s…