Circular consecutive choosability of graphs (I)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 03 - 06 (Thu.)
10:10 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Yu-Chao Tu 2008-03-06
13:00:00 - 14:00:00 Ricci Flow (after Cao and Zhu)103 , Old Mathematics Building

Physics 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".

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 03 - 04 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Adjusted 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.

Integral 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.)

Integral 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.)

Prof. Jyotshana Prajapat  ( Tata Institute of Fundamental Research, India )

Prof. Ching-Lung Lin  ( National Cheng Kung University )

Physics 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.

Ching-Lung Lin 2008-02-27
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.)

Jyotshana Prajapat 2008-02-27
11:00:00 - 12:00:00 Vortex condensates for relativistic abelian chern-simons model with two higgs scalar fields and two gauge fields on a torus308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 02 - 26 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Integral 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.)

List 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.)

List 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.)

Optimal Composite Markers for Time-Dependent 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 time-dependent receiver operating characteristic (ROC) curve. In this study, we consider a time-varying coefficient generalized linear model (GLM) with an unknown link function for the CAD-related 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.

Prof. Brice Franke  ( Ruhr-Universität Bochum, Germany & Academia Sinica )

Prof. Narn-Rueih Shieh  ( Department of Mathematics, National Taiwan University )

Prof. Feng -Rung Hu  ( National Taichuing University )

Prof. Brice Franke  ( Ruhr-Universität Bochum, Germany & Academia Sinica )

Brice Franke 2008-01-30
01:00:00 - 01:00:00 Homogenization of stochastic processes, I (introductory)405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Feng -Rung Hu 2008-01-30
01:00:00 - 01:00:00 Bouchaud-Mezard Equation for wealth distributions(an introduction to Econophysics)405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Brice Franke 2008-01-30
01:00:00 - 01:00:00 Homogenization of stochastic processes, II (some technical)405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Narn-Rueih Shieh 2008-01-30
01:00:00 - 01:00:00 Multi-scale fractional analysis for random structures (introductory) ,

2008 - 01 - 29 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Braid group theory and its
Prof. Chin-Chin 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.)

2008-01-29
13:30:00 - 15:00:00 405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Chin-Lung Wang  ( Department of Mathematics, National Taiwan University )

Prof. Jenn-Nan Wang  ( Department of Mathematics, National Taiwan University )