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Stochastic Analysis and Applications to Finance
This volume is a collection of solicited and refereed articles from distinguished researchers across the field of stochastic analysis and its application to finance. The articles represent new directions and newest developments in this exciting and fast growing area. The covered topics range from Markov processes, backward stochastic differential equations, stochastic partial differential equations, stochastic control, potential theory, functional inequalities, optimal stopping, portfolio selection, to risk measure and risk theory. It will be a very useful book for young researchers who want to learn about the research directions in the area, as well as experienced researchers who want to kn...
Semimartingale Theory and Stochastic Calculus
Semimartingale Theory and Stochastic Calculus presents a systematic and detailed account of the general theory of stochastic processes, the semimartingale theory, and related stochastic calculus. The book emphasizes stochastic integration for semimartingales, characteristics of semimartingales, predictable representation properties and weak convergence of semimartingales. It also includes a concise treatment of absolute continuity and singularity, contiguity, and entire separation of measures by semimartingale approach. Two basic types of processes frequently encountered in applied probability and statistics are highlighted: processes with independent increments and marked point processes encountered frequently in applied probability and statistics. Semimartingale Theory and Stochastic Calculus is a self-contained and comprehensive book that will be valuable for research mathematicians, statisticians, engineers, and students.
Introduction to Stochastic Finance
This book gives a systematic introduction to the basic theory of financial mathematics, with an emphasis on applications of martingale methods in pricing and hedging of contingent claims, interest rate term structure models, and expected utility maximization problems. The general theory of static risk measures, basic concepts and results on markets of semimartingale model, and a numeraire-free and original probability based framework for financial markets are also included. The basic theory of probability and Ito's theory of stochastic analysis, as preliminary knowledge, are presented.
Introduction to Infinite Dimensional Stochastic Analysis
The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first steps in this field were taken by V. Volterra, R. GateallX, P. Levy and M. Frechet, among others (see the preface to Levy[2]). Nevertheless, the most fruitful direction in this field is the infinite dimensional integration theory initiated by N. Wiener and A. N. Kolmogorov which is closely related to the developments of the theory of stochastic processes. It was Wiener who constructed for the first time in 1923 a probability measure on the space of all continuous functions (i. e. the Wiener measure) which provide...
Unequal Learning
Inequality has been soaring across the globe in the past decades. And the reproduction of inequality begins early in the life cycle: in homes and schools. In Unequal Learning, Xin Xiang analyzes the different kinds of learning that goes on in four drastically different Chinese schools: a rural school in a mountainous area; a public school in an impoverished region of an emerging city; a low-cost private school serving rural migrants; and a prestigious metropolitan public school that attracts the children of elite professionals and government officials. As she shows, the different learning opportunities available in these four communities contribute to the widening gulf between the rising met...
Contemporary New Confucianism I
As the first volume of a two-volume seminal work on contemporary New Confucianism in China, this book charts the development of this intellectual trend and examines four leading thinkers of this intellectual movement in the 20th century. Contemporary New Confucianism refers to the Confucianism or Confucian thought that has emerged in China since the 1920s and that seeks to revive Confucian spirituality in a changing society. This volume first analyzes the cultural context, logical approach, major themes, and problems of New Confucianism before delving into the four leading figures, namely Liang Shumin, Xiong Shili, Ma Yifu, and Qian Mu. The chapter on Liang Shumin analyzes his concept of wil...
Perspectives in Pharmacological Therapy Targeting Cellular Metabolic Pathways in Respiratory Diseases
Respiratory diseases share the most complex processes, including various immune reactions, abnormal embryological development, air- or blood-flow mechanical dysfunction, carcinogenesis, and fibrotic proliferation. Metabolic reprogramming has been identified as one of the most critical pathogenic mechanisms for cellular functional maintenance and adaptation under different etiologies. Therefore, intervention targeting metabolic pathways provide a novel therapeutic strategy.
A Dream of Red Mansions
One of the Four Main Classical Novels of China, A Dream of Red Mansions is the only novel to address the role of women in China’s history. This tragic romance is brought to life with the delicate penstrokes of local artist Seraphina Lum, in her debut graphic novel.
A Biographical Dictionary of Later Han to the Three Kingdoms (23-220 AD)
This publication is the long-awaited complement to Michael Loewe's acclaimed Biographical Dictionary of the Qin, Former Han and Xin Periods (2000). With more than 8,000 entries, based upon historical records and surviving inscriptions, the comprehensive Biographical Dictionary of Later Han to the Three Kingdoms (23-220 AD) now provides information on men and women of the Chinese world who lived at the time of Later (or Eastern) Han, from Liu Xiu, founding Emperor Guangwu (reg. 24-57), to the celebrated warlord Cao Cao (155-220) at the end of the dynasty. The entries, including surnames, personal names, styles and dates, are accompanied by maps, genealogical tables and indexes, with lists of books and special accounts of women. These features, together with the convenient surveys of the history and the administrative structure of the dynasty, will make Rafe de Crespigny's work an indispensable tool for any further serious study of a significant but comparatively neglected period of imperial China.
