Topological Phase Transitions
Title | Topological Phase Transitions |
Publication Type | Book Chapter |
Year of Publication | 1984 |
Authors | Widom, M., & Shenker S. J. |
Page(s) | 46-51 |
Other Numbers | 3494 |
Abstract | We use methods of statistical mechanics to study the Julia set of the mapping f(z) = z2 + p. For most values of p these methods allow extremely accurate determination of the fractal dimension and escape rate. At special values of p the Julia set undergoes a change in topology. We study the value p = l/4 in detail and find singularities which we interpret as a phase transition. |
Bibliographic Notes | In Chaos and Statistical Methods: Proceedings of the Sixth Kyoto Summer Institute, Y. Kuramoto, ed., pp. 46-51. |
Abbreviated Authors | M. Widom and S. Shenker |
ICSI Research Group | Networking and Security |
ICSI Publication Type | Book chapter or section |