me at Baltic seashore (German), 2008.9
Mini-Course in Probability:
Novikov(2006.11), Leonenko(2006.12), Woyczynski(2009.05), Cranston(2009.07), Ayache(2009.12)
Stochastic Dynamics 2008.01.30
Probability and Finance 2008.07.10
Probability Session 2009.07.09
Mathematical Analysis 2009.10.21/22
Applied Analysis and Probability 2010.03.24
Activity in Probability (seminar)
2008F wed.pm, 2009S fri.am, 2009F fri.am
Activity in Analysis/Probability/Applications (seminar, semi-regular) 2010--
Recent Papers
2014
The Lamperti Transforms of Self-similar Gaussian Processes and Their Exponentials. Stochastic Models. DOI: 10.1080/15326349.2014.868735 Joint work with M. Matsui. PDF
2013
R\'{e}nyi Function for Multifractal Random Fields. Fractals. Vol. 21, No. 2 (2013) DOI: 10.1142/S0218348X13500096 Joint work with N.N. Leonenko. PDF
Hitting Probabilities of the Random Covering Sets. Contemporary Mathematics Vol. 601, 2013. Joint work with B. Li and Y.M. Xiao. PDF
Multi-scaling Limits for Relativistic Diffusion Equations with Random Initial Data. Working paper, submitted and tentative accepted. Joint work with G.-R. Liu. PDF
2012
Free Fields Associated with the
Relativistic Operator J. Pseudo-Differ. Oper. Appl., DOI 10.1007/s11868-012-0053-x. PDF
On time-fractional relativistic
diffusion equations.
Stochastics,
DOI:10.1080/17442508.2012.654791.
PDF
2011
Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times.
Ann. Inst. Henri Poincar\'{e} --
Prob. et Stat. vol. 47, 1029-1054. Electronic Journal of Probability vol. 16, Paper no. 32, 962-980.
Joint work with G.-R. Liu.
In: Infinite Divisible Processes and
Related Topics (15). ISM (Tokyo, Joint work with M. Maejima.
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Narn-Rueih Shieh Positions Appointed: Mathematics Professor, 1987.8--2011.7, and Honor Emeritus Professor, 2011.8--, National Taiwan University Research Fellow, Kyoto University, Japan. Winter 1990 Visiting Professor, Keio University, Japan. Fall 1993 Professeur invit\'e, Universit\'e de Lille 1, France. July 2010 Visiting Faculty, York University, Canada. Fall 2011 Visiting Faculty, Chinese University of Hong Kong. Spring 2012, Spring 2013 Visiting Faculty, South China Univ. of Tech. Guangzhou. Fall 2012 Visiting Faculty, Hong Kong Polytechnic Univ. Spring 2014
Email: shiehnr(AT)ntu.edu.tw
Courses Offered
Elementary Probability 機率導論 (NTU_CEIBA 2009) at York 2011F
Stochastic Processes 隨機過程
Probability Theory 機率論
Stochastic Calculus 隨機微積分 (NTU_CEIBA 2010), at CUHK 2012S
Advanced Probability Theory 高等概率論 CUHK 2013S
Concentrated Probability 集中概率論 SCUT 2012F
Financial Mathematics 財經數學 CUHK 2013S
A Talk on Probability History 通識:機率思想的發展
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