Jin Feng

Frederi Viens

Yaozhong Hu

Eulalia Nualart

The stochastic calculus of variations of Paul Malliavin (1925 - 2010), known today as the Malliavin Calculus, has found many applications, within and beyond the core mathematical discipline. Stochastic analysis provides a fruitful interpretation of this calculus, particularly as described by David Nualart and the scores of mathematicians he influences and with whom he collaborates. Many of these, including leading stochastic analysts and junior researchers, presented their cutting-edge research at an international conference in honor of David Nualart's career, on March 19-21, 2011, at the University of Kansas, USA. These scholars and other top-level mathematicians have kindly contributed research articles for this refereed volume.

A Festschrift in Honor of David Nualart

Malliavin Calculus and Stochastic Analysis

Thomas G. Kurtz

The book is devoted to the results on large deviations for a class of stochastic processes. Following an introduction and overview, the material is presented in three parts. Part 1 gives necessary and sufficient conditions for exponential tightness that are analogous to conditions for tightness in the theory of weak convergence. Part 2 focuses on Markov processes in metric spaces. For a sequence of such processes, convergence of Fleming's logarithmically transformed nonlinear semigroups is shown to imply the large deviation principle in a manner analogous to the use of convergence of linear semigroups in weak convergence. Viscosity solution methods provide applicable conditions for the necessary convergence. Part 3 discusses methods for verifying the comparison principle for viscosity solutions and applies the general theory to obtain a variety of new and known results on large deviations for Markov processes. In examples concerning infinite dimensional state spaces, new comparison principles are derived for a class of Hamilton-Jacobi equations in Hilbert spaces and in spaces of probability measures.

Large Deviations for Stochastic Processes

In Romancing the Internet: Producing and Consuming Chinese Web Romance, Jin Feng examines how shifting socio-cultural forces and gender codes in contemporary Chinese society have shaped the production and consumption of Chinese popular romance on the Internet.

Producing and Consuming Chinese Web Romance

Romancing the Internet

Looks at China’s Ginling College, the women’s missionary institution of higher learning that developed a discourse of family, recasting the Chinese Confucian family ideal as a female and Christian one.

Ginling College

Making of a Family Saga, The

In The New Woman in Early Twentieth-century Chinese Fiction, Jin Feng discusses representations of women in May Fourth fiction, issues of gender, modernity, individualism, subjectivity, and narrative strategy. In this thought-provoking book about a crucial period of Chinese literature, Feng argues that male writers such as Lu Xun, Yu Dafu, Ba Jin, and Mao Dun created fictional women as mirror images of their own political inadequacy, but that at the same time this was also an egocentric ploy to affirm and highlight the modernity of the male author. This gender-biased attitude was translated into reality when women writers emerged. Whereas unfair, gender-biased criticism all but stifled the creative output of Bing Xin, Fang Yuanjun, and Lu Yin, Ding Ling's dogged attention to narrative strategy allowed her to maintain subjectivity and independence in her writings; that is until all writers were forced to write for the collective.

Jin Feng

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