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Dynamic Random Walks on Heisenberg Groups

✍ Scribed by Nadine Guillotin-Plantard; René Schott

Publisher
Springer US
Year
2006
Tongue
English
Weight
169 KB
Volume
19
Category
Article
ISSN
0894-9840

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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