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 analogue of the heat operator on the disc given by $\Delta + c \frac\partial{\partial r}$ for some constant $c$ that represents a drift towards (or away from) the origin.

COHEN, J., PAGLIACCI, M., & PICARDELLO, A. (2008). Radial heat diffusion from the root of a semi-homogeneous tree. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 9, 619-628.

Radial heat diffusion from the root of a semi-homogeneous tree

PICARDELLO, ANGELO MASSIMO
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 analogue of the heat operator on the disc given by $\Delta + c \frac\partial{\partial r}$ for some constant $c$ that represents a drift towards (or away from) the origin.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - Analisi Matematica
eng
Con Impact Factor ISI
Rooted homogeneous tree, heat semigroup, Catalan mumbers, Dyck paths
This paper establishes an unexpected connection between the heat flow on a homogeneous tree and classical combinatorics (Catalan numbers)
COHEN, J., PAGLIACCI, M., & PICARDELLO, A. (2008). Radial heat diffusion from the root of a semi-homogeneous tree. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 9, 619-628.
Cohen, J; Pagliacci, M; Picardello, Am
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/30529
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