%0 Journal Article %1 dawson2005degrees %A Dawson, D.A. %A Gorostiza, L.G. %A Wakolbinger, A. %D 2005 %I Kluwer Academic Publishers %J Potential Analysis %K Green_function fractal_dimension hierarchical_random_walks recurrence transience %N 4 %P 305-350 %R 10.1007/s11118-004-1327-6 %T Degrees of Transience and Recurrence and Hierarchical Random Walks %U http://dx.doi.org/10.1007/s11118-004-1327-6 %V 22 %X The notion of degree and related notions concerning recurrence and transience for a class of Lévy processes on metric Abelian groups are studied. The case of random walks on a hierarchical group is examined with emphasis on the role of the ultrametric structure of the group and on analogies and differences with Euclidean random walks. Applications to separation of time scales and occupation times of multilevel branching systems are discussed.

@article{dawson2005degrees, abstract = { The notion of degree and related notions concerning recurrence and transience for a class of Lévy processes on metric Abelian groups are studied. The case of random walks on a hierarchical group is examined with emphasis on the role of the ultrametric structure of the group and on analogies and differences with Euclidean random walks. Applications to separation of time scales and occupation times of multilevel branching systems are discussed. }, added-at = {2014-07-02T22:27:57.000+0200}, author = {Dawson, D.A. and Gorostiza, L.G. and Wakolbinger, A.}, biburl = {https://www.bibsonomy.org/bibtex/2530c1bd976c3f0d27f931aa8cc5703dd/peter.ralph}, doi = {10.1007/s11118-004-1327-6}, interhash = {54f3547e8c19bc3c2605fa5be27b2e69}, intrahash = {530c1bd976c3f0d27f931aa8cc5703dd}, issn = {0926-2601}, journal = {Potential Analysis}, keywords = {Green_function fractal_dimension hierarchical_random_walks recurrence transience}, language = {English}, number = 4, pages = {305-350}, publisher = {Kluwer Academic Publishers}, timestamp = {2014-07-02T22:27:57.000+0200}, title = {Degrees of Transience and Recurrence and Hierarchical Random Walks}, url = {http://dx.doi.org/10.1007/s11118-004-1327-6}, volume = 22, year = 2005 }