Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths
Cohen, Joel M. ; Pagliacci, Mauro ; Picardello, Massimo A.
Bollettino dell'Unione Matematica Italiana, Tome 1 (2008), p. 619-628 / Harvested from Biblioteca Digitale Italiana di Matematica
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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 Δ+c⁢∂∂⁡r for some constant c that represents a drift towards (or away from) the origin.

Publié le : 2008-10-01
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     author = {Joel M. Cohen and Mauro Pagliacci and Massimo A. Picardello},
     title = {Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {1},
     year = {2008},
     pages = {619-628},
     zbl = {1192.80004},
     mrnumber = {2455335},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_3_619_0}
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Cohen, Joel M.; Pagliacci, Mauro; Picardello, Massimo A. Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 619-628. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_3_619_0/

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