the Fonds de la Recherche Scientifique-FNRS under Grant J.0037.18.
Conditional expectations(like,e.g.,discounted prices in financial applications)are martingales under an appropriate filtration and probability measure.When the information flow arrives in a punctual way,a reasonable a...
supported by National Natural Science Foundation of China (Grant No. 11371191);Natural Science and Engineering Research Council of Canada (Grant No. 311945-2013)
Getoor's conjecture that essentially all Levy processes satisfy Hunt's hypothesis (H) is a long- standing open problem in potential theory. In the beginning of the paper, we summarize the main results obtained so ...
supported in part by the National Natural Science Foundation of China(11171262;11171263)
By using Lamperti's bijection between self-similar Markov processes and L@vy processes~ we prove finiteness of moments and asymptotic behavior of passage times for increasing self-similar Markov processes valued in ...
Hui He wanted to thank Concordia University for his pleasant stay at Montreal where this work was done. The authors would like to thank Professor Wenming Hong for his enlightening discussion. They also would like to thank Amaury Lambert for suggesting the time reversal treatment of the model in Section 5. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11201030, 11371061), the Fundamental Research Funds for the Central Universities (2013YB59), and the Natural Sciences and Engineering Research Council of Canada.
We investigate the branching structure coded by the excursion above zero of a spectrally positive Levy process. The main idea is to identify the level of the Levy excursion as the time and count the number of jumps up...
supported by National Natural Science Foundation of China(Grant No.71271042);the Plan of Jiangsu Specially-Appointed Professors,the Jiangsu Hi-Level Innovative and Entrepreneurship Talent Introduction Plan and Major Program of Key Research Center in Financial Risk Management of Jiangsu Universities Philosophy Social Sciences(Grant No.2012JDXM009)
In the paper, using Levy processes subordinated by 'asymptotically self-similar activity time' pro- cesses with long-range dependence, we set up new asset pricing models. Using the different construction for gamma ...
Supported by the National Natural Science Foundation of China(No.10726063)
We consider an infinite capacity second-order fluid queue with subordinator input and Markovmodulated linear release rate. The fluid queue level is described by a generalized Langevin stochastic differential equation ...
Polar set of Markov processes is an important concept in probabilistic potential theory, but it is not easy to judge the polarity of the sets. In this paper, we give some results which can be easily used to examine th...
Supported by the National Natural Science Foundation of China
We introduce the results on the multifractal structure of the occupation measures of a Brownian Motion, a stable process, a general subordinator and a stochastic process derived from random reordering of the Cantor se...