This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions …
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic …
At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields; Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young d…
The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the form of series that are analogous to those used in Lyapunov’s first method. A prominent place is given to asymptotic solutions that tend to an equilibrium position, especially in the strongly nonlinear case, where the existence of such solutions can’t be inferred on the bas…
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In…
This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. New concepts like sufficiency, superefficiency, adaptivity etc. motivated scholars to reflect upon the interpretation of mathematical concepts in terms of t…
This book gives a self-contained introduction to the subject of asymptotic approximation for multivariate integrals for both mathematicians and applied scientists. A collection of results of the Laplace methods is given. Such methods are useful for example in reliability, statistics, theoretical physics and information theory. An important special case is the approximation of multidimensional n…
Late nineteenth-and early twentieth-century French writer Romain Rolland remains best known for his epic coming-of-age tale, Jean Christoph. In A Critical Bibliography of the Published Writings of Romain Rolland William Thomas Starr Starr painstakingly collects the information on all writings by and about this prolific author through 1949. Organized into two parts, the bibliography lists the wr…
The study examines cultural effects of various colonial systems of government in the Spanish- and French-speaking Caribbean in a little investigated period of transition: from the French Revolution to the abolition of slavery in Cuba (1789–1886). The comparison of cultural transfer processes by means of literary production from and about the Caribbean, embedded in a broader context of the cir…
Critical Prefaces of the French Renaissance contains nearly 30 prefaces from the works of French poets and dramatists published from 1525 to 1611. Bernard Weinberg’s helpful book collects prefaces from the works of satirical poets, as well as dramatists, and provides a short introduction to each preface setting it in its literary and historical context. Lyrical and satirical poets represented…