Автор |
A H Osbaldestin |
Дата выпуска |
1995-10-21 |
dc.description |
We consider the s-state Potts model on the diamond hierarchical lattice for large s. We show that the generalized dimensions D<sub>q</sub> of the density of zeros supported by the associated Julia set are given by D<sub>q</sub> = 1 - (q - 1)|s|<sup>-2/3</sup>/4 log 2+O(s<sup>-1</sup>). The information dimension D<sub>1</sub> equals 1 to all orders. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
1/s-expansion for generalized dimensions in a hierarchical s-state Potts model |
Тип |
paper |
DOI |
10.1088/0305-4470/28/20/023 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
28 |
Первая страница |
5951 |
Последняя страница |
5962 |
Аффилиация |
A H Osbaldestin; Dept. of Math. Sci., Loughborough Univ. of Technol., UK |
Выпуск |
20 |