A.

 Exact analysis of lattice models and its applications to material science

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M.-C. Wu and C.-K. Hu, Exact partition functions of the Ising model on MN planar lattices with periodic- aperiodic boundary conditions, J. Phys. A 35, 5189-5206 (2002). PDF
(The first rigorous derivation of the exact partition functions for MxN planar lattices, including square, plane triangular and honeycomb lattices, with periodic-aperiodic boundary conditions.)

 

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  2.

M.-C. Wu, C.-K. Hu, and N. Sh. Izmailian, Universal finite-size scaling functions with exact non-universal metric factors, Phys. Rev. E 67, 065103(R) (2003). PDF
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The first analytic results demonstrating the universal finite-size scaling functions for the Ising model on planar lattices.)

 

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M.-C. Wu, Exact finite-size scaling functions for the interfacial tensions of the Ising model on planar lattices, Phys. Rev. E 73, 046135 (2006). PDF
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An analytical study of interfacial tensions showing the amplitude of interfacial tension has a universal expression with a proportional factor related to different lattices to have a similar domain for all isotropic Ising lattices in an infinite-long strip geometry.)

 

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M.-C. Wu, C.-L. Li, C.-K. Hu, Y.-C. Chang, Y.-H. Liaw, L.-W. Huang, C.-S. Chang, T.-T. Tsong, and T. Hsu, Curvature effect on the surface diffusion of silver adatoms on carbon nanotubes: Deposition experiments and numerical simulations, Phys. Rev. B 74, 125424 (2006). PDF
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The first work deriving the curvature effect on the surface diffusion of adatoms on carbon nanotubes.)

 

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B.

 Statistical analyses of physiological and financial time series

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M.-C. Wu and C.-K. Hu, Empirical mode decomposition and synchrogram approach to cardiorespiratory synchronization, Phys. Rev. E 73, 051917 (2006). PDF

(A rigorous examination of the caridorespiratory synchronization by using an adaptive approach for nonlinear and nonstationary time series.)

 

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M.-C. Wu, M.-C. Huang, H.-C. Yu, and T.C. Chiang, Phase distribution and phase correlation of financial time series, Phys. Rev. E 73, 016118 (2006). PDF

(We developed a new approach based on the concept of instantaneous phase to study stock time series.)

 

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M.-C. Wu, Phase correlation of foreign exchange time series, Physica A 375, 633-642 (2007). PDF

(We discovered scale-dependent correlations in foreign exchange time series.)

 

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M.-C. Wu, E. Watanabe, Z. R. Struzik, C.-K. Hu, and Y. Yamamoto, Phase statistics approach to human ventricular fibrillation, Phys. Rev. E 80, 051917 (2009). PDF

(We used the phase statistics approach to identify non-self-terminating ventricular fibrillation from ECG data.)

 

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M.-C. Wu, Damped oscillations in the ratios of stock market indices, EPL 97, 48009 (2012). PDF

(We discovered a new regularity in stock market indices.)

 

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C.

 Statistical properties of biological molecules

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M.-C. Wu, M. S. Li, W.-J. Ma, M. Kouza, and C.-K. Hu, Universal geometrical factor of protein conformations as a consequence of energy minimization, EPL 96, 68005 (2011). PDF
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We discovered a new geometric constraint for the tertiary structures of native proteins.)

 

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M.-C. Wu, J. G. Forbes, and K. Wang, Correlated vibrations in ion-pair dynamics in mechanoactivation identifies functional domains of force-dependent titin kinase, Soft Matter 9, 9897-9906 (2013). PDF
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We developed new ways of extracting physical insights from data set of structural features in the trajectory of unfolding pathways.)

 

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M.-C. Wu and T. Y. Tsong, Local hydrophobicity in protein secondary structure formations, J. Phys. Soc. Japan 82, 114801 (2013). PDF
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We investigated the effect of local hydrophobicity in protein secondary structure formation, and proposed a method to estimate variations of secondary structure content in mutants from changes in local hydrophobicity with respect to wild-type proteins.)

 

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M.-C. Wu, J. G. Forbes, and K. Wang, Disorder profile of nebulin encodes a vernierlike position sensor for the sliding thin and thick filaments of the skeletal muscle sarcomere, Phys. Rev. E 93, 062406 (2016). PDF
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We proposed a vernierlike model of position sensing for the sliding thin and thick filaments of the skeletal muscle sarcomere.)