Seminars & Lectures
| * TITLE | Finite Size Scaling in Complex Networks | ||||||
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| * DATE / TIME | 2006-06-17, 4:30 - 5:00p.m. | ||||||
| * PLACE | Rm 1423, KIAS | ||||||
| * ABSTRACT | |||||||
| We study the finite-size-scaling (FSS) behavior of various statistical models on complex networks. In particular, we focus on the FSS exponent, which plays a crucial role in analyzing numerical data for finite-size systems. Based on a hyperscaling-type argument, we conjecture the values of the FSS exponents for the Ising model, the susceptible-infected-susceptible model, and the contact process, all of which are confirmed reasonaly well in numerical simulations. Scale-free networks with a sharp cutoff in the degree distribution are also considered and the previously proposed cutoff dependence of the FSS exponents is found to be incorrect. |
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