Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths

Cohen, Joel M., Pagliacci, Mauro, and Picardello, Massimo A.. "Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths." Bollettino dell'Unione Matematica Italiana 1.3 (2008): 619-628. <http://eudml.org/doc/290473>.

@article{Cohen2008,
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.},
author = {Cohen, Joel M., Pagliacci, Mauro, Picardello, Massimo A.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {619-628},
publisher = {Unione Matematica Italiana},
title = {Radial Heat Diffusion from the Root of a Homogeneous Tree and the Combinatorics of Paths},
url = {http://eudml.org/doc/290473},
volume = {1},
year = {2008},
}

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 dell'Unione Matematica Italiana
DA - 2008/10//
PB - Unione Matematica Italiana
VL - 1
IS - 3
SP - 619
EP - 628
AB - 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.
LA - eng
UR - http://eudml.org/doc/290473
ER -