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Hamiltonian Dynamical Systems and Applications
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.
China and the Legacy of Deng Xiaoping
China and the Legacy of Deng Xiaoping documents a turning point in the Chinese communist revolution that elevates Deng to a role equal to that of Mao. Dr. Marti explores post-Tiananmen domestic political wrangling and offers the first documentation of DengOCOs efforts to link all the major elements of societyOCothe PLA, the Party, the revolutionary elders, and the regional governorsOCointo a coalition whose survival depends on the success of his economic policies.Understanding this sense of commitment to ChinaOCOs long-term goals has significant implications for predicting the outcome of the current struggle between the hardliners and reformers. By providing a new interpretation of Chinese behavior, China and the Legacy of Deng Xiaoping adds to the current debate among policy makers and academicians over the future direction of Chinese policy."
Direct and Inverse Scattering at Fixed Energy for Massless Charged Dirac Fields by Kerr-Newman-de Sitter Black Holes
In this paper, the authors study the direct and inverse scattering theory at fixed energy for massless charged Dirac fields evolving in the exterior region of a Kerr-Newman-de Sitter black hole. In the first part, they establish the existence and asymptotic completeness of time-dependent wave operators associated to our Dirac fields. This leads to the definition of the time-dependent scattering operator that encodes the far-field behavior (with respect to a stationary observer) in the asymptotic regions of the black hole: the event and cosmological horizons. The authors also use the miraculous property (quoting Chandrasekhar)—that the Dirac equation can be separated into radial and angular...
Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa's p-adic and the motivic zeta function. In the p-adic case, this is, for a polynomial f∈Z[x,y,z] satisfying f(0,0,0)=0 and non-degenerate with respect to its Newton polyhedron, we show that every pole of the local p-adic zeta function of f induces an eigenvalue of the local monodromy of f at some point of f−1(0)⊂C3 close to the origin. Essentially the entire paper is dedicated to proving that, for f as above, certain candidate poles of Igusa's p-adic zeta function of f, arising from so-called B1-facets of the Newton polyhedron of f, are actually not poles. This turns out to be much harder than in the topological setting. The combinatorial proof is preceded by a study of the integral points in three-dimensional fundamental parallelepipeds. Together with the work of Lemahieu and Van Proeyen, this main result leads to the Monodromy Conjecture for the p-adic and motivic zeta function of a non-degenerate surface singularity.
Chinese Nationalism in the Global Era
Presenting an analysis of the tension between nationalism and globalization in China since the beginning of the ‘reform and opening’ period in the late 1970s to the present day, this book makes a unique contribution to the on-going debate on the nature of Chinese nationalism. It shows how nationalism is used to link together key areas of policy-making, including economic policy, national unification and foreign policy. Hughes provides historical context to the debate by examining how nationalism became incorporated into the ideology of the Chinese Communist Party in the 1980s and the ways in which this strengthened and combined with globalization discourse through the domestic crisis of ...
Asian Leaders
Asian Leaders - A Bibliography
Gold Coins of the World, 10th edition
The tenth edition of Gold Coins of the World expands on its predecessor, digging more deeply into new areas of collector interest, and expanding many sections. From the coins of Ancient Greece, Rome, and the Byzantine Empire, and from Afghanistan through Zanzibar, it includes the addition of many new discoveries for dozens of countries. From the 384 pages of the 1958 edition, the work has expanded to 852 pages, which have been completely revised and updated. The authors have listed more than 22,000 coin types, which are illustrated with more than 8,500 photos—now, for the first time, each one of them in color. Each country’s section includes tables of weight and fineness. The market valu...
Control Theory And Related Topics: In Memory Of Professor Xunjing Li
Xunjing Li (1935-2003) was a pioneer in control theory in China. He was known in the Chinese community of applied mathematics, and in the global community of optimal control theory of distributed parameter systems. He has made important contributions to the optimal control theory of distributed parameter systems, in particular regarding the first-order necessary conditions (Pontryagin-type maximum principle) for optimal control of nonlinear infinite-dimensional systems. He directed the Seminar of Control Theory at Fudan towards stochastic control theory in 1980s, and mathematical finance in 1990s, which has led to several important subsequent developments in both closely interactive fields. These remarkable efforts in scientific research and education, among others, gave birth to the so-called “Fudan School”.This proceedings volume includes a collection of original research papers or reviews authored or co-authored by Xunjing Li's former students, postdoctoral fellows, and mentored scholars in the areas of control theory, dynamic systems, mathematical finance, and stochastic analysis, among others.
