
20080305Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008  03  05 (Wed.)
15:30  17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In the first part of this lecture, we shall study dispersion effects in evolution of wave packets. The notions of "group velocity" and "parabolic equation" will be introduced. From the fact that wave packets spread out with time, we conclude that nonlinear effects should be taken into account for explanation of dispersive shocks. In the second part of the lecture we shall start studying effects of nonlinearity on wave evolution. Wave breaking phenomenon will be explained first in the simplest case of Hopf equation and then it will be generalized on so called "simple waves" solution of compressible gas dynamics equations. This solution will be illustrated by itsapplication to "piston problem". 
20080304Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  03  04 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080304Statistical MethodologyAdjusted Empirical Likelihood and its Properties
Prof. Jiahua Chen ( University of British Columbia, Canada )2008  03  04 (Tue.)
14:00  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Computing a profile empirical likelihood function, which involves constrained maximization, is a key step in applications of empirical likelihood. However, in some situations, the required numerical problem has no solution. In this case, the convention is to assign a zero value to the profile empirical likelihood. This strategy has at least two limitations. First, it is numerically difficult to determine that there is no solution secondly, no information is provided on the relative plausibility of the parameter values where the likelihood is set to zero. In this talk, we present a novel adjustment to the empirical likelihood that retains all the optimality properties, and guarantees a sensible value of the likelihood at any parameter value. Our simulation indicates that the adjusted empirical likelihood is much faster to compute than the profile empirical likelihood. The confidence regions constructed via the adjusted empirical likelihood are found to have coverage probabilities closer to the nominal levels without employing complex procedures such as Bartlett correction or bootstrap calibration. The method is also shown to be effective in solving several practical problems associated with the empirical likelihood. 
20080303Seminar of AlgebraIntegral points on homogeneous spaces(3)
Prof. Fei Xu ( Capital Normal University, China )2008  03  03 (Mon.)
15:30  17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080229Seminar of AlgebraIntegral points on homogeneous spaces(2)
Prof. Fei Xu ( Capital Normal University, China )2008  02  29 (Fri.)
15:30  17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080227Vortex condensates for relativistic abelian chernsimons model with two higgs scalar fields and two gauge fields on a torusProf. Jyotshana Prajapat ( Tata Institute of Fundamental Research, India )

20080227Quantitative uniqueness for second order elliptic operators with strongly singular coefficientsProf. ChingLung Lin ( National Cheng Kung University )

20080227Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shock waves: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008  02  27 (Wed.)
15:30  17:20
402, Freshman Classroom BuildingWe study the blowup rate estimate for a system of semilinear parabolic equations. The blowup rate depends on whether the two components of the solution of this system blow up simultaneously or not. 
20080227Quantitative uniqueness for second order elliptic operators with strongly singular coefficientsChingLung Lin 20080227
14:00:00  15:00:00 Quantitative uniqueness for second order elliptic operators with strongly singular coefficients405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080227Vortex condensates for relativistic abelian chernsimons model with two higgs scalar fields and two gauge fields on a torusJyotshana Prajapat 20080227
11:00:00  12:00:00 Vortex condensates for relativistic abelian chernsimons model with two higgs scalar fields and two gauge fields on a torus308 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080226Geometric AnalysisRicci flow
Prof. ChangShou Lin ( Department of Mathematics, National Taiwan University )2008  02  26 (Tue.)
09:10  12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080225Seminar of AlgebraIntegral points on homogeneous spaces(1)
Prof. Fei Xu ( Capital Normal University, China )2008  02  25 (Mon.)
15:30  17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080221Seminar on Graph ColoringList circular colorings of graphs (I)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  02  21 (Thu.)
10:00  12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080221Seminar on Graph ColoringList circular colorings of graphs (II)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008  02  21 (Thu.)
13:30  15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080219Statistical MethodologyOptimal Composite Markers for TimeDependent ROC
Prof. Hung Hung ( Graduate Institute of Epidemiology and Preventive Medicine, National Taiwan University )008  02  19 (Tue.)
13:30  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)To significantly improve the accuracy of evaluation on the coronary artery disease (CAD) related vital status over time, our research interest mainly focuses on finding a combination of several baseline plasma numbers with the highest timedependent receiver operating characteristic (ROC) curve. In this study, we consider a timevarying coefficient generalized linear model (GLM) with an unknown link function for the CADrelated death time. Based on censored survival data, a class of nonparametric estimation methods is proposed for the optimal linear combination of plasma biomarkers under the random censoring and conditionally independent censoring mechanisms.Moreover, the consistency and asymptotic normality of the estimators are derived. The finite sample properties of the proposed estimators are further examined through simulations. Finally, an application of our methods to the British Columbia Vital Statistics data is presented. 
20080130Homogenization of stochastic processes, I (introductory)Prof. Brice Franke ( RuhrUniversität Bochum, Germany & Academia Sinica )

20080130Multiscale fractional analysis for random structures (introductory)Prof. NarnRueih Shieh ( Department of Mathematics, National Taiwan University )

20080130BouchaudMezard Equation for wealth distributions(an introduction to Econophysics)Prof. Feng Rung Hu ( National Taichuing University )

20080130Homogenization of stochastic processes, II (some technical)Prof. Brice Franke ( RuhrUniversität Bochum, Germany & Academia Sinica )

20080130Homogenization of stochastic processes, I (introductory)Brice Franke 20080130
01:00:00  01:00:00 Homogenization of stochastic processes, I (introductory)405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080130BouchaudMezard Equation for wealth distributions(an introduction to Econophysics)Feng Rung Hu 20080130
01:00:00  01:00:00 BouchaudMezard Equation for wealth distributions(an introduction to Econophysics)405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080130Homogenization of stochastic processes, II (some technical)Brice Franke 20080130
01:00:00  01:00:00 Homogenization of stochastic processes, II (some technical)405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080130Multiscale fractional analysis for random structures (introductory)NarnRueih Shieh 20080130
01:00:00  01:00:00 Multiscale fractional analysis for random structures (introductory) , 
20080129An Exact Interval Estimation on Paired Areas under the ROC curves with Multiple Markers2008  01  29 (Tue.)
13:30  15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080129Nonlinear PDEBraid group theory and its
Prof. ChinChin Wu ( Department of Applied Mathematics, National Chiao Tung University )2008  01  29 (Tue.)
11:00  11:50
405, Mathematics Research Center Building (ori. New Math. Bldg.) 
20080129An Exact Interval Estimation on Paired Areas under the ROC curves with Multiple Markers20080129
13:30:00  15:00:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.) 
20080124Some research directions in MathematicsProf. ChinLung Wang ( Department of Mathematics, National Taiwan University )

20080124Some research directions in MathematicsProf. JennNan Wang ( Department of Mathematics, National Taiwan University )

20080124Some research directions in MathematicsProf. TaiChia Lin ( Department of Mathematics, National Taiwan University )

20080124Some research directions in MathematicsChinLung Wang 20080124
16:00:00  17:00:00 Some research directions in Mathematics4樓 , Mathematics Research Center Building (ori. New Math. Bldg.)