**Prof. Naoyuki Ishimura, Chuo University, Japan**

Prof. Naoyuki Ishimura was born in Tokushima, Japan in 1964. He obtained his bachelor's degree of Physics in 1986 and master's degree of Mathematics in 1989 both at University of Tokyo, Japan. He obtained his PhD from University of Tokyo in 1993 with the title ''Analytic properties of mean curvature flows." He was Research Associate of Mathematics at University of Tokyo from 1989 to 1996. He moved to Hitotsubashi University, Japan as Associate Professor of Mathematical Sciences from 1996 and became full Professor from 2005. His interest gradually involves Mathematical Finance and he was a director of CFEE (Center for Financial Engineering Education) at Graduate School of Economics, Hitotsubashi University from 2011 to 2015. He now moves to Chuo University from 2015. Prof. Ishimura is a member of JSIAM (Japan Society for Industrial and Applied Mathematics) and a representative of Mathematical Finance study group. His area of research includes the applied analysis, the theory of nonlinear partial differential equations, and the mathematical finance.

**Speech Title: Evolution of copulas in discrete and continuous processes
Abstract:
**The relation between each risk factors is an important subject for researches. A typical assumption of the independence does not lead to a true estimate of potential risk. Copulas, in this respect, are known to provide a flexible tool for analyzing nonlinear relations among random variables. However, the usual definition of copulas does not involve the time variable, although real world events proceed with the time.

n this presentation, we review on our recent investigations for the time evolution of copulas. In particular, we deal with the convergence from discrete to continuous setting. It is shown that the discrete evolution converges to the corresponding continuous evolution under suitable assumptions. Applications of these time evolution of copulas are also discussed.

**Prof. Po-Liang Liu, National Chung-Hsing University, Taiwan**

Po-Liang Liu is currently a Professor of Graduate Institute of Precision Engineering at National Chung-Hsing University (NCHU), Taiwan. He had conducted postdoctoral research as a Postdoctoral Research Fellow in Distinguished Research Fellow Sheng-Hsien Lin’s laboratory at Academia Sinica, Taiwan since July 2003 and as a Postdoctoral Research Associate in Professor Ignatius S. T. Tsong’s laboratory at Arizona State University (ASU) since July 2004. Since that time he conducted theoretical and computational research on the determination of interface and surface energies between epitaxial films and substrates. He had also conducted some epitaxial growth experiments. In addition, he collaborated actively with Professor John Kouvetakis and Andrew Chizmeshya of the Department of Chemistry and Biochemistry at ASU. He joined the faculty of National Chung-Hsing University as an Assistant Professor in 2006. Since then his research has been funded continuously by grants awarded by the Ministry of Science and Technology and Ministry of Economic Affairs in Taiwan. He has directed or co-directed 17 research projects dealing with surfaces and thin films of wide bandgap semiconductor and has received over U.S.$ 2,364,000 in grant support over the past 9 years. His research results have been published in over 30 articles in peer-reviewed journals and international conferences with an international circulation including the top journals such as “Physical Review Letters”. His current research interests are in the field of semiconductor thin-film growth, nanotechnology, surface science, and hydrogen storages. He had won 3rd Best Poster Awards out of 62 (40) posters in 2011 (2012) Conference on National Center for High-performance Computing-High Performance Computing, Hsinchu, Taiwan. He was invited to serve as the Conference Chair, Keynote Speaker, or Session Chair in International Conference on Applied Physics and Mathematics (ICAPM) from 2014 to 2017. He was also a Visiting Associate Professor in the Department of Physics of the Norwegian University of Science and Technology, Trondheim, Norway (Aug. 2014 – Jan. 2015).

**Speech Title: First-principles study of defect formation mechanisms in thin film heterostructure materials
Abstract:** The

**Prof. Jong-Shenq Guo, Tamkang University, Taiwan**

Professor Jong-Shenq Guo is currently a Chair Professor of the Department of Mathematics, Tamkang University, Taiwan. He received his B.S. degree in mathematics from National Taiwan Normal University in 1980, Master degree in mathematics from Purdue University in 1987, and Ph.D. degree in mathematics from the University of Minnesota in 1989. He was an Associate Professor during 1989-1994 and a Full Professor during 1994-1995 in National Tsing Hua University. After serving as a Full Professor in National Taiwan Normal University during 1995-2010, he moved to Tamkang University as a Full Professor in August, 2010. Professor Guo has received the Outstanding Research Award of the National Science Council, Taiwan, in 2010, and the Outstanding Research Award of the Ministry of Science and Technology, Taiwan, in 2016. His major research interests are partial differential equations, applied mathematics, mathematical biology and wave propagation. He is now the President of the Mathematical Society of R.O.C. (Taiwan) for the term 2018-2019

**Speech Title: Can two weak competitors wipe out a strong competitor in a 3-species competition system?
Abstract:** We are concerned with which species wins the competition in the multi-species competition models in one dimension habitat. We shall tackle this question by determining the wave speed sign of the corresponding traveling wave. In this talk, we are interested in the case of 3-species competition system in which there are 2 weak competitors and one strong competitor. It seems that the strong competitor should always win the competition. However, it turns out that this is not always true. Our aim is to provide a rigorous proof of these facts.

2019 9th International Conference on Applied Physics and Mathematics | January 21-23, 2019 | Bangkok, Thailand