Yu-Pin Luo

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The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. First, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two important lemmas concerning the variance of an Ito integral and the covariance of two Ito integrals are shown. Based on the(More)
Exact expressions of the Bloch wall free energy are obtained for the Ising model on a rectangular lattice and infinitely long cylinder. The interfacial tension amplitudes are obtained for different coupling and aspect ratios. Finite-size scaling theory is used to analyse the effects of coupling anisotropy and finite size in the interfacial tension. The(More)
The effect of different Monte Carlo move sets on the the folding kinetics of lattice polymer chains is studied from the geometry of the conformationnetwork. The networks have the characteristics of smallworld. The Monte Carlo move, rigid rotation, has drastic effect on the geometric properties of the network. The move not only change the connections but(More)
Based on the master equation with the inherent structure of conformation network, the authors investigate some important issues in the folding kinetics of lattice polymers. First, the topologies of conformation networks are discussed. Moreover, a new scheme of implementing Metropolis algorithm, which fulfills the condition of detailed balance, is proposed.(More)
The conventional periodic boundary conditions in two dimensions are extended to general boundary conditions, prescribed by primitive vector pairs that may not coincide with the coordinate axes. This extension is shown to be unambiguously specified by the twisting scheme. Equivalent relations between different twist settings are constructed explicitly. The(More)
A novel way of characterizing the process of reaching consensus for a social system is given. The foundation of the characterization is based on the theorem which states that the sufficient and necessary condition for a system to reach the state of consensus is the occurrence of communicators, defined as the units of the system that can directly communicate(More)
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