We compute recursively the heat semigroup in a rooted homogeneous tree for the diffusion with radial (with respect to the root) but non-isotropic transition probabilities. This is the discrete analog of the heat operator on the unit disc.
Radial heat diffusion from the root of a homogeneous tree and the combinatorics of paths
PAGLIACCI, Mauro;
2008
Abstract
We compute recursively the heat semigroup in a rooted homogeneous tree for the diffusion with radial (with respect to the root) but non-isotropic transition probabilities. This is the discrete analog of the heat operator on the unit disc.File in questo prodotto:
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