Geodesic
Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths
Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 619-628

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

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. 
@article{BUMI_2008_9_1_3_a5,
     author = {Cohen, Joel M. and Pagliacci, Mauro and Picardello, Massimo A.},
     title = {Radial {Heat} {Diffusion} from the {Root} of a {Homogeneous} {Tree} and the {Combinatorics} of {Paths}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {619--628},
     publisher = {mathdoc},
     volume = {Ser. 9, 1},
     number = {3},
     year = {2008},
     zbl = {1192.80004},
     mrnumber = {2455335},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a5/}
}
TY  - JOUR
AU  - Cohen, Joel M.
AU  - Pagliacci, Mauro
AU  - Picardello, Massimo A.
TI  - Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths
JO  - Bollettino della Unione matematica italiana
PY  - 2008
SP  - 619
EP  - 628
VL  - 1
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a5/
LA  - en
ID  - BUMI_2008_9_1_3_a5
ER  - 
%0 Journal Article
%A Cohen, Joel M.
%A Pagliacci, Mauro
%A Picardello, Massimo A.
%T Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths
%J Bollettino della Unione matematica italiana
%D 2008
%P 619-628
%V 1
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a5/
%G en
%F BUMI_2008_9_1_3_a5
Cohen, Joel M.; Pagliacci, Mauro; Picardello, Massimo A. Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths. Bollettino della Unione matematica italiana, Série 9, Tome 1 (2008) no. 3, pp. 619-628. http://geodesic.mathdoc.fr/item/BUMI_2008_9_1_3_a5/