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A timely book on a topic that has witnessed a surge of interest over the last decade, owing in part to several novel applications, most notably in data compression and computational molecular biology. It describes methods employed in average case analysis of algorithms, combining both analytical and probabilistic tools in a single volume. * Tools are illustrated through problems on words with applications to molecular biology, data compression, security, and pattern matching. * Includes chapters on algorithms and data structures on words, probabilistic and analytical models, inclusion-exclusion principles, first and second moment methods, subadditive ergodic theorem and large deviations, elements of information theory, generating functions, complex asymptotic methods, Mellin transform and its applications, and analytic poissonization and depoissonization. * Written by an established researcher with a strong international reputation in the field.
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Bell's Theorem and its associated implications for the nature of the physical world remain topics of great interest. For this reason many meetings have been recently held on the interpretation of quantum theory and the implications of Bell's Theorem. Generally these meetings have been held primarily for quantum physicists and philosophers of science who have been or are actively working on the topic. Nevertheless, other philosophers of science, mathematicians, engineers as well as members of the general public have increasingly taken interest in Bell's Theorem and its implications. The Fall Workshop held at George Mason University on October 21 and 22, 1988 and titled "Bell's Theorem, Quantu...
In this paper we develop homotopy theoretical methods for studying diagrams. In particular we explain how to construct homotopy colimits and limits in an arbitrary model category. The key concept we introduce is that of a model approximation. A model approximation of a category $\mathcal{C}$ with a given class of weak equivalences is a model category $\mathcal{M}$ together with a pair of adjoint functors $\mathcal{M} \rightleftarrows \mathcal{C}$ which satisfy certain properties. Our key result says that if $\mathcal{C}$ admits a model approximation then so does the functor category $Fun(I, \mathcal{C})$. From the homotopy theoretical point of view categories with model approximations have s...
Drawing on newly accessible archives as well as memoirs and other sources, this biographical dictionary documents the lives of some two thousand notable figures in twentieth-century Central and Eastern Europe. A unique compendium of information that is not currently available in any other single resource, the dictionary provides concise profiles of the region's most important historical and cultural actors, from Ivo Andric to King Zog. Coverage includes Albania, Belarus, the Czech and Slovak Republics, Hungary, Estonia, Latvia, Lithuania, Poland, Romania and Moldova, Ukraine, and the countries that made up Yugoslavia.
'Impassioned, hugely informative, wonderfully controversial, and scary as hell' John le Carré Around the world in Britain, the United States, Asia and the Middle East, there are people with power who are cashing in on chaos; exploiting bloodshed and catastrophe to brutally remake our world in their image. They are the shock doctors. Exposing these global profiteers, Naomi Klein discovered information and connections that shocked even her about how comprehensively the shock doctors' beliefs now dominate our world - and how this domination has been achieved. Raking in billions out of the tsunami, plundering Russia, exploiting Iraq - this is the chilling tale of how a few are making a killing while more are getting killed. 'Packed with thinking dynamite ... a book to be read everywhere' John Berger 'If you only read one non-fiction book this year, make it this one' Metro Books of the Year 'There are a few books that really help us understand the present. The Shock Doctrine is one of those books' John Gray, Guardian 'A brilliant book written with a perfectly distilled anger, channelled through hard fact. She has indeed surpassed No Logo' Independent
The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.
This volume reviews some selected problems in solid state physics with an emphasis on adequate mathematical tools. The three main subjects are magnetic structures and neutron scattering; Berry phases and energy bands in solids (symmetry, analicity, Hofstadter butterfly, van Hove singularities); and quasicrystals, finite systems, and group action on sets (unitary group approach, Schur functions). Software presentations are included as a separate part.
This book is a concise presentation of the normal distribution on the real line and its counterparts on more abstract spaces, which we shall call the Gaussian distributions. The material is selected towards presenting characteristic properties, or characterizations, of the normal distribution. There are many such properties and there are numerous rel evant works in the literature. In this book special attention is given to characterizations generated by the so called Maxwell's Theorem of statistical mechanics, which is stated in the introduction as Theorem 0.0.1. These characterizations are of interest both intrin sically, and as techniques that are worth being aware of. The book may also se...