Speaker
Dr
Meesoon Ha
(KAIST)
Description
A finite-size-scaling (FSS) theory is proposed for various
models in 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 the
droplet-excitation (hyperscaling) 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 reasonably well in
numerical simulations. Finally we discuss how those can be
different in the annealed versions of networks.