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Normally Hyperbolic Invariant Manifolds
This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems. First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples. The main new result shown is a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. Along the way, some new results in bounded geometry are obtained and a framework is developed to analyze ODEs in a differential geometric context. Finally, the main result is extended to time and parameter dependent systems and overflowing invariant manifolds.
Geometry, Mechanics, and Dynamics
This book illustrates the broad range of Jerry Marsden’s mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective. Each contribution develops its material from the viewpoint of geometric mechanics beginning at the very foundations, introducing readers to modern issues via illustrations in a wide range of topics. The twenty refereed papers contained in this volume are based on lectures and research performed during the month of July 2012 at the Fields Institute for Research in Mathematical Sciences, in a program in honor of Marsden's legacy. The unified treatment of the wide breadth of topics treated in this book will be of interest to both experts and novices in geometric mechanics. Experts will recognize applications of their own familiar concepts and methods in a wide variety of fields, some of which they may never have approached from a geometric viewpoint. Novices may choose topics that interest them among the various fields and learn about geometric approaches and perspectives toward those topics that will be new for them as well.
Mens en melodie
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Skating
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Etty Hillesum
Etty Hillesum (1914-1943) est avec Anne Frank l’autre grande voix néerlandaise de la Shoah. Le journal intime qu’elle a tenu de 1941 à 1943, paru en 1985 sous le titre Une vie bouleversée, a suffi à rendre inoubliable la figure de cette jeune juive d’Amsterdam, morte à Auschwitz à l’âge de vingt-neuf ans. Cependant, en dehors du cheminement spirituel qui a accompagné les deux dernières années de sa courte existence, nous ignorons presque tout d’elle. Aussi la Fondation Etty Hillesum a-t-elle officiellement chargé l’écrivaine néerlandaise Judith Koelemeijer d’écrire « l’histoire de sa vie ». Une biographie définitive : c’est bien ce que nous livre ici l’au...
Etty
In the midst of the horrors of the Nazi Holocaust, Etty's writings reveal a young Jewish woman who celebrated life and remained an undaunted example of courage, sympathy, and compassion. Through this splendid translation by Arnold J. Pomerans, commissioned by the Etty Hillesum Foundation, readers everywhere will resonate with the spirit of this amazing young woman.
Single Motherhood and Poverty
n the Netherlands, single mothers run a high risk of becoming poor, even though the country has a well-developed welfare system. This study brings together many partial life histories of single mothers of different cultural backgrounds and origins and shows that poverty is not solely material deprivation. Through its in-depth account of the ways single mothers construct their everyday lives, this book sheds light on the many social, cultural and structural dimensions of poverty.
Quality and Inequality of Education
This cogent analysis of data on education and society from a variety of sources sets out to provide answers to scientific and policy questions on the quality of education and the way it relates to various forms of inequality in modern societies, particularly in Europe. The authors examine not only the well known cross-national PISA datasets, but also the European Social Survey and TIMSS, going further than many researchers by folding into their analyses economic, legal and historical factors. Most research up to now using the PISA data is restricted to educational research. Interesting as that educational question is, the chapters here use the PISA, and other data, to explore more profoundly...
