Extreme price movements in the financial markets are rare, but important. The stock market crash on Wall Street in October 1987 and other big financial crises such as the Long Term Capital Management and the bankruptcy of Lehman Brothers have attracted a great deal of attention among investors, practitioners and researchers. The recent worldwide financial crisis characterized by the substantial...

We consider the quadratic family of maps given by fa(x) = 1− ax with x ∈ [−1, 1], where a is a Benedicks-Carleson parameter. For each of these chaotic dynamical systems we study the extreme value distribution of the stationary stochastic processes X0, X1, . . ., given by Xn = f n a , for every integer n ≥ 0, where each random variable Xn is distributed according to the unique absolutely continu...

We continue here the study of free extreme values begun in [3]. We study the convergence of the free point processes associated with free extreme values to a free Poisson random measure ([15], [2]). We relate this convergence to the free extremal laws introduced in [3] and give the limit laws for free order statistics.

Extreme diffusion values for non-Gaussian diffusions Deren Han a; Liqun Qi b; X. Wu c a Institute of Mathematics, School of Mathematics and Computer Science, Nanjing Normal University, Nanjing, Jiangsu, PR China b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong c Department of Electrical and Electronic Engineering, The University of Hong Kon...

Unsolved issues in clinical gene therapy for cardiovascular diseases include gene transfer efficiency and the requirement of a longer exposure time. We developed a novel mononegavirus vector, recombinant Sendai virus (SeV), and tested whether it can overcome the present hurdles. SeV showed dose-dependent and persistent gene expression in either proliferating or arrested cells, suggesting stabil...

In a sequence of random variables, record values are observations that exceed or fall below the current extreme value.Now consider a sequence of pairwise random variables  {(Xi,Yi), i>=1}, when the experimenter is interested in studying just thesequence of records of the first component, the second component associated with a record value of the first one is termed the concomitant of that ...

Objective To investigate the effects of TLR3 and TLR9 signaling pathway on brain injury during CPB in rats pretreated with sevoflurane and its possible molecular mechanism. Methods SD rats were randomly assigned to sham group, CPB group, and Sev group. Brain tissue was obtained at before CPB (T0), at CPB for 30 minutes (T1), 1 hour after CPB (T3), and 3 hours after CPB (T5). ELISA was used to...

Recent studies of Enterovirus (EV) in nonhuman primates (NHPs), which could act as a source of future emerging human viral diseases, have boosted interest in the search for novel EVs. Here, a highly divergent strain of EV, tentatively named SEV-gx, was identified by viral metagenomic analysis from stool samples of rhesus macaques in China. In total, 27 of 280 (9.6%) faecal samples from rhesus m...

Respiratory syncytial virus (RSV) is a serious disease of children, responsible for an estimated 160,000 deaths per year worldwide. Despite the ongoing need for global prevention of RSV and decades of research, there remains no licensed vaccine. Sendai virus (SeV) is a mouse parainfluenza virus-type 1 which has been previously shown to confer protection against its human cousin, human parainflu...