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The General Theory of Homogenization
Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the author’s H-measures, variants by Patrick Gérard, and others yet to be discovered.
Discursive Geographies / Géographies discursives
The present collection of essays follows in the wake of recent work in cultural geography challenging the idea that maps are scientifically neutral entities, or that space, unlike time, is immobile. In defining space, place and geography as forms of textuality, the essays collected in this volume examine the ways in which postcolonial and metropolitan literary and filmic texts in French can at once inscribe and produce place and space, and thereby participate in forms of “discursive geographies.” Contributors: François Bon; Alexandre Dauge-Roth; Habiba Deming; Zakaria Fatih; Jeanne Garane; Patricia Geesey; Greg Hainge; Sirène Harb; Jean-Luc Joly; Chantal Kalisa; Michel Laronde; Valérie Loichot; Mary McCullough; Michael O’Riley; Pascale Perraudin; Walter Putnam; Antoine Stéphani; Abdourahman A. Waberi.
Microlocal Analysis and Nonlinear Waves
This IMA Volume in Mathematics and its Applications MICROLOCAL ANALYSIS AND NONLINEAR WAVES is based on the proceedings of a workshop which was an integral part of the 1988- 1989 IMA program on "Nonlinear Waves". We thank Michael Beals, Richard Melrose and Jeffrey Rauch for organizing the meeting and editing this proceedings volume. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. A vner Friedman Willard Miller, Jr. PREFACE Microlocal analysis is natural and very successful in the study of the propagation of linear hyperbolic waves. For example consider the initial value problem Pu = f E e'(RHd), supp f C {t ;::: O} u = 0 for t
The Thousand and One Nights and Twentieth-Century Fiction
It is gradually being acknowledged that the Arabic story-collection Thousand and One Nights has had a major influence on European and world literature. This study analyses the influence of Thousand and One Nights, as an intertextual model, on 20th-century prose from all over the world. Works of approximately forty authors are examined: those who were crucial to the development of the main currents in 20th-century fiction, such as modernism, magical realism and post-modernism. The book contains six thematic sections divided into chapters discussing two or three authors/works, each from a narratological perspective and supplemented by references to the cultural and literary context. It is shown how Thousand and One Nights became deeply rooted in modern world literature especially in phases of renewal and experiment.
Hyperbolic Problems
None
Proper Maps of Toposes
We develop the theory of compactness of maps between toposes, together with associated notions of separatedness. This theory is built around two versions of "propriety" for topos maps, introduced here in a parallel fashion. The first, giving what we simply call "proper" maps, is a relatively weak condition due to Johnstone. The second kind of proper maps, here called "tidy", satisfy a stronger condition due to Tierney and Lindgren. Various forms of the Beck-Chevalley condition for (lax) fibered product squares of toposes play a central role in the development of the theory. Applications include a version of the Reeb stability theorem for toposes, a characterization of hyperconnected Hausdorff toposes as classifying toposes of compact groups, and of strongly Hausdorff coherent toposes as classifiying toposes of profinite groupoids. Our results also enable us to develop further particular aspects of the factorization theory of geometric morphisms studied by Johnstone. Our final application is a (so-called lax) descent theorem for tidy maps between toposes. This theorem implies the lax descent theorem for coherent toposes, conjectured by Makkai and proved earlier by Zawadowski.
Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup
Obtains an explicit formula for generalized Whittaker functions and multiplicity one theorem for all discrete series representations of $SU(2,2)$.
Partial Differential Equations and Mathematical Physics
On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analy...
Nonlinear Partial Differential Equations and Their Applications
This book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the Collège de France. Emphasis is on applications to numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical analysis, and engineering. Proceedings of this seminar will be of particular interest to postgraduate students and specialists in the area of nonlinear partial differential equations.
Many Subtle Channels
Main description: What sort of society could bind together Jacques Roubaud, Italo Calvino, Marcel Duchamp, and Raymond Queneau-and Daniel Levin Becker, a young American obsessed with language play? Only the Oulipo, the Paris-based experimental collective founded in 1960 and fated to become one of literature's quirkiest movements. An international organization of writers, artists, and scientists who embrace formal and procedural constraints to achieve literature's possibilities, the Oulipo (the French acronym stands for 0workshop for potential literature0) is perhaps best known as the cradle of Georges Perec's novel A Void, which does not contain the letter e. Drawn to the Oulipo's mystique, ...
