arXiv subjects
Publications and source records attributed to Chung-I Chou.
The house price distributions of Taiwan are analyzed. The tail of the cumulative distribution function (CDF) follows an approximate power law with an exponent equals to -2.4 while the distribution of the house price per unit area displays a lognormal distribution. Implications of the results are also discussed.
There are many factors that can influence the outcome of an election. We here identify two dominant effects that can affect the votes obtained by a candidate, namely, the Majority Effect and the Media Effect. We mimic these two effects in a simple growth model. We put the model on a two-dimensional square lattice and test it against the available data from elections in various countries. By adjusting the two parameters in the model, we are able to fit the vote distributions in all the countries studied.
The Political Districting Problem is mapped to a $q$-state Potts model in which the constraints can be written as interactions between sites or external fields acting on the system. Districting into $q$ voter districts is equivalent to finding the ground state of this $q$-state Potts model. We illustrate this by districting Taipei city in its 2008 Legislature Election. Statistical properties of the model are also studied.
We present a simple and complete variational approach to the one-dimensional quantum Frenkel-Kontorova model. Dirac's time-dependent variational principle is adopted together with a Hatree-type many-body trial wavefunction for the atoms. The single-particle state is assumed to have the Jackiw-Kerman form. We obtain an effective classical Hamiltonian for the system which is simple enough for a complete numerical solution for the static ground state of the model. Numerical results show that our simple approach captures the essence of the quantum effects first observed in quantum Monte Carlo studies.