𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Singularities of the Green function of a random walk on a discrete group

✍ Scribed by Donald I. Cartwright

Publisher
Springer Vienna
Year
1992
Tongue
English
Weight
245 KB
Volume
113
Category
Article
ISSN
0026-9255

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the spectrum of a random walk on the
On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator
✍ CΓ©dric BΓ©guin; Alain Valette; Andrzej Zuk πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 908 KB

Harper's operator is the self-adjoint operator on 12(7/) defined by Ho,o~(n) = ~(n + 1) + se(n -1 ) + 2 cos(2zr(n0 + (p))~(n) (~ ~ l 2 (7/), n 6 7/, 0, (p c [0, I ]). We first show that the determination of the spectrum of the transition operator on the Cayley graph of the discrete Heisenberg group

Heisenberg model and a random walk on th
Heisenberg model and a random walk on the permutation group
✍ Robert T. Powers πŸ“‚ Article πŸ“… 1976 πŸ› Springer 🌐 English βš– 284 KB

It is shown that the isotropic Heisenberg model can be analysed in terms of a random walk on the permutation group. This approach makes it intuitively clear why the Heisenberg model exhibits long range order or ferrogmagnetic behavior in three dimensions and not in two and one dimensions. This appro