We introduce the notion of strip complex. A strip complex is a special type of complex obtained by gluing "strips" along their natural boundaries according to a given graph structure. The most familiar example is the one-dimensional complex classically associated with a graph, in which the strips are simply copies of the unit interval(one setup actually allows for variable edge lenghts). A leading key example is treebolic space, a geometric object studied in a number of recent articles, which arises as the horocyclic product of a matric tree with the hyperbolic plane.......
The heat semigroup and Brownian motion on strip complexes / A. Bendikov, L. Saloff-Coste, M. Salvatori, W. Woess. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 226:1(2011 Jan), pp. 992-1055.
The heat semigroup and Brownian motion on strip complexes
M. SalvatoriPenultimo
;
2011
Abstract
We introduce the notion of strip complex. A strip complex is a special type of complex obtained by gluing "strips" along their natural boundaries according to a given graph structure. The most familiar example is the one-dimensional complex classically associated with a graph, in which the strips are simply copies of the unit interval(one setup actually allows for variable edge lenghts). A leading key example is treebolic space, a geometric object studied in a number of recent articles, which arises as the horocyclic product of a matric tree with the hyperbolic plane.......Pubblicazioni consigliate
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