Download or read book Intersection Spaces Spatial Homology Truncation and String Theory written by Markus Banagl and published by Springer. This book was released on 2010-06-16 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. This monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality. The cornerstone of the method is a process of spatial homology truncation, whose functoriality properties are analyzed in detail. The material on truncation is autonomous and may be of independent interest tohomotopy theorists. The cohomology of intersection spaces is not isomorphic to intersection cohomology and possesses algebraic features such as perversity-internal cup-products and cohomology operations that are not generally available for intersection cohomology. A mirror-symmetric interpretation, as well as applications to string theory concerning massless D-branes arising in type IIB theory during a Calabi-Yau conifold transition, are discussed.
Download or read book Mutational Analysis written by Thomas Lorenz and published by Springer Science & Business Media. This book was released on 2010-06-08 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations have been extended to evolution equations in Banach spaces. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.
Download or read book Dynamical Systems Graphs and Algorithms written by George Osipenko and published by Springer. This book was released on 2006-10-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
Download or read book Spectral Theory Of Large Dimensional Random Matrices And Its Applications To Wireless Communications And Finance Statistics Random Matrix Theory And Its Applications written by Zhaoben Fang and published by World Scientific. This book was released on 2014-01-24 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains three parts: Spectral theory of large dimensional random matrices; Applications to wireless communications; and Applications to finance. In the first part, we introduce some basic theorems of spectral analysis of large dimensional random matrices that are obtained under finite moment conditions, such as the limiting spectral distributions of Wigner matrix and that of large dimensional sample covariance matrix, limits of extreme eigenvalues, and the central limit theorems for linear spectral statistics. In the second part, we introduce some basic examples of applications of random matrix theory to wireless communications and in the third part, we present some examples of Applications to statistical finance.
Download or read book Transseries and Real Differential Algebra written by Joris van der Hoeven and published by Springer. This book was released on 2006-10-31 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Download or read book Stochastic Integration with Jumps written by Klaus Bichteler and published by Cambridge University Press. This book was released on 2002-05-13 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete theory of stochastic differential equations driven by jumps, their stability, and numerical approximation theories.
Download or read book Local and Semi Local Bifurcations in Hamiltonian Dynamical Systems written by Heinz Hanßmann and published by . This book was released on 2007 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once again KAM theory is committed in the context of nearly integrable Hamiltonian systems. While elliptic and hyperbolic tori determine the distribution of maximal invariant tori, they themselves form n-parameter families. Hence, without the need for untypical conditions or external parameters, torus bifurcations of high co-dimension may be found in a single given Hamiltonian system. The text moves gradually from the integrable case, in which symmetries allow for reduction to bifurcating equilibria, to non-integrability, where smooth parametrisations have to be replaced by Cantor sets. Planar singularities and their versal unfoldings are an important ingredient that helps to explain the underlying dynamics in a transparent way.
Download or read book A Critical Bibliography of French Literature V4 18th C Supplement written by Richard A. Brooks and published by Syracuse University Press. This book was released on with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Eighteenth Century written by Richard A. Brooks and published by . This book was released on 1968 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Critical Bibliography of French Literature Suppl The eighteenth century ed by R A Brooks written by David Clark Cabeen and published by . This book was released on 1947 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Martingales in Banach Spaces written by Gilles Pisier and published by Cambridge University Press. This book was released on 2016-06-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.
Download or read book Evolution Algebras and Their Applications written by Jianjun Paul Tian and published by Springer Science & Business Media. This book was released on 2008 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems. Algebraically, evolution algebras are non-associative Banach algebras; dynamically, they represent discrete dynamical systems. Evolution algebras have many connections with other mathematical fields including graph theory, group theory, stochastic processes, dynamical systems, knot theory, 3-manifolds, and the study of the Ihara-Selberg zeta function. In this volume the foundation of evolution algebra theory and applications in non-Mendelian genetics and Markov chains is developed, with pointers to some further research topics.
Download or read book Cumulated Index Medicus written by and published by . This book was released on 1969 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Microtecnic written by and published by . This book was released on 1973 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essays on the Prediction Process written by Frank B. Knight and published by IMS. This book was released on 1981 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Louis Bachelier s Theory of Speculation written by Louis Bachelier and published by Princeton University Press. This book was released on 2011-12-12 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: March 29, 1900, is considered by many to be the day mathematical finance was born. On that day a French doctoral student, Louis Bachelier, successfully defended his thesis Théorie de la Spéculation at the Sorbonne. The jury, while noting that the topic was "far away from those usually considered by our candidates," appreciated its high degree of originality. This book provides a new translation, with commentary and background, of Bachelier's seminal work. Bachelier's thesis is a remarkable document on two counts. In mathematical terms Bachelier's achievement was to introduce many of the concepts of what is now known as stochastic analysis. His purpose, however, was to give a theory for the valuation of financial options. He came up with a formula that is both correct on its own terms and surprisingly close to the Nobel Prize-winning solution to the option pricing problem by Fischer Black, Myron Scholes, and Robert Merton in 1973, the first decisive advance since 1900. Aside from providing an accurate and accessible translation, this book traces the twin-track intellectual history of stochastic analysis and financial economics, starting with Bachelier in 1900 and ending in the 1980s when the theory of option pricing was substantially complete. The story is a curious one. The economic side of Bachelier's work was ignored until its rediscovery by financial economists more than fifty years later. The results were spectacular: within twenty-five years the whole theory was worked out, and a multibillion-dollar global industry of option trading had emerged.
Download or read book Abnormal written by Michel Foucault and published by Verso Books. This book was released on 2016-09-01 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three decades after his death, Michel Foucault remains one of the towering intellectual figures of the last half-century. His works on sexuality, madness, the prison, and medicine are enduring classics. From 1971 until his death in 1984, Foucault gave public lectures at the famous Collge de France. These seminal events, attended by thousands, created the benchmarks for contemporary social enquiry. The lectures comprising Abnormal begin by examining the role of psychiatry in modern criminal justice, and its method of categorising individuals who "resemble their crime before they commit it." Building on the themes of societal self-defence developed in earlier works, Foucault shows how defining "normality" became a prerogative of power in the nineteenth century, shaping the institutions-from the prisons to the family-meant to deal with "monstrosity," whether sexual, physical, or spiritual. The Collge de France lectures add immeasurably to our appreciation and understanding of Foucault's thought.
