Levy Matters I

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Lévy Matters III

Author : Björn Böttcher
Publisher : Springer
ISBN 13 : 3319026844
Total Pages : 199 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Lévy Matters III by : Björn Böttcher

Download or read book Lévy Matters III written by Björn Böttcher and published by Springer. This book was released on 2014-01-16 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent developments in the area of Lévy-type processes and more general stochastic processes that behave locally like a Lévy process. Although written in a survey style, quite a few results are extensions of known theorems, and others are completely new. The focus is on the symbol of a Lévy-type process: a non-random function which is a counterpart of the characteristic exponent of a Lévy process. The class of stochastic processes which can be associated with a symbol is characterized, various schemes constructing a stochastic process from a given symbol are discussed, and it is shown how one can use the symbol in order to describe the sample path properties of the underlying process. Lastly, the symbol is used to approximate and simulate Levy-type processes. This is the third volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world.

Lévy Matters I

Author : Thomas Duquesne
Publisher : Springer Science & Business Media
ISBN 13 : 3642140068
Total Pages : 216 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Lévy Matters I by : Thomas Duquesne

Download or read book Lévy Matters I written by Thomas Duquesne and published by Springer Science & Business Media. This book was released on 2010-09-05 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.

Lévy Matters I

Author : Thomas Duquesne
Publisher : Springer
ISBN 13 : 3642140076
Total Pages : 206 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Lévy Matters I by : Thomas Duquesne

Download or read book Lévy Matters I written by Thomas Duquesne and published by Springer. This book was released on 2010-09-02 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.

Lévy Matters IV

Author : Denis Belomestny
Publisher : Springer
ISBN 13 : 3319123734
Total Pages : 286 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Lévy Matters IV by : Denis Belomestny

Download or read book Lévy Matters IV written by Denis Belomestny and published by Springer. This book was released on 2014-12-05 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Lévy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication. The three chapters of this volume are completely dedicated to the estimation of Lévy processes, and are written by experts in the field. The first chapter by Denis Belomestny and Markus Reiß treats the low frequency situation, and estimation methods are based on the empirical characteristic function. The second chapter by Fabienne Comte and Valery Genon-Catalon is dedicated to non-parametric estimation mainly covering the high-frequency data case. A distinctive feature of this part is the construction of adaptive estimators, based on deconvolution or projection or kernel methods. The last chapter by Hiroki Masuda considers the parametric situation. The chapters cover the main aspects of the estimation of discretely observed Lévy processes, when the observation scheme is regular, from an up-to-date viewpoint.

Lévy Matters II

Author : Serge Cohen
Publisher : Springer
ISBN 13 : 3642314074
Total Pages : 186 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Lévy Matters II by : Serge Cohen

Download or read book Lévy Matters II written by Serge Cohen and published by Springer. This book was released on 2012-09-14 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters, which is published at irregular intervals over the years. Each volume examines a number of key topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world. The expository articles in this second volume cover two important topics in the area of Lévy processes. The first article by Serge Cohen reviews the most important findings on fractional Lévy fields to date in a self-contained piece, offering a theoretical introduction as well as possible applications and simulation techniques. The second article, by Alexey Kuznetsov, Andreas E. Kyprianou, and Victor Rivero, presents an up to date account of the theory and application of scale functions for spectrally negative Lévy processes, including an extensive numerical overview.

Lévy Matters V

Author : Lars Nørvang Andersen
Publisher : Springer
ISBN 13 : 3319231383
Total Pages : 224 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Lévy Matters V by : Lars Nørvang Andersen

Download or read book Lévy Matters V written by Lars Nørvang Andersen and published by Springer. This book was released on 2015-10-24 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-chapter volume concerns the distributions of certain functionals of Lévy processes. The first chapter, by Makoto Maejima, surveys representations of the main sub-classes of infinitesimal distributions in terms of mappings of certain Lévy processes via stochastic integration. The second chapter, by Lars Nørvang Andersen, Søren Asmussen, Peter W. Glynn and Mats Pihlsgård, concerns Lévy processes reflected at two barriers, where reflection is formulated à la Skorokhod. These processes can be used to model systems with a finite capacity, which is crucial in many real life situations, a most important quantity being the overflow or the loss occurring at the upper barrier. If a process is killed when crossing the boundary, a natural question concerns its lifetime. Deep formulas from fluctuation theory are the key to many classical results, which are reviewed in the third chapter by Frank Aurzada and Thomas Simon. The main part, however, discusses recent advances and developments in the setting where the process is given either by the partial sum of a random walk or the integral of a Lévy process.

Lévy Matters VI

Author : Franziska Kühn
Publisher : Springer
ISBN 13 : 3319608886
Total Pages : 245 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Lévy Matters VI by : Franziska Kühn

Download or read book Lévy Matters VI written by Franziska Kühn and published by Springer. This book was released on 2017-10-05 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. Moreover, necessary and sufficient conditions for the existence of moments of Lévy-type processes are studied and some estimates on moments are derived. Lévy-type processes behave locally like Lévy processes but, in contrast to Lévy processes, they are not homogeneous in space. Typical examples are processes with varying index of stability and solutions of Lévy-driven stochastic differential equations. This is the sixth volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters. Each volume describes a number of important topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject, with special emphasis on the non-Brownian world.

Lévy Processes and Stochastic Calculus

Author : David Applebaum
Publisher : Cambridge University Press
ISBN 13 : 1139477986
Total Pages : 461 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Lévy Processes and Stochastic Calculus by : David Applebaum

Download or read book Lévy Processes and Stochastic Calculus written by David Applebaum and published by Cambridge University Press. This book was released on 2009-04-30 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lévy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the mathematics of systems interacting with random noise. Here, the author ties these two subjects together, beginning with an introduction to the general theory of Lévy processes, then leading on to develop the stochastic calculus for Lévy processes in a direct and accessible way. This fully revised edition now features a number of new topics. These include: regular variation and subexponential distributions; necessary and sufficient conditions for Lévy processes to have finite moments; characterisation of Lévy processes with finite variation; Kunita's estimates for moments of Lévy type stochastic integrals; new proofs of Ito representation and martingale representation theorems for general Lévy processes; multiple Wiener-Lévy integrals and chaos decomposition; an introduction to Malliavin calculus; an introduction to stability theory for Lévy-driven SDEs.

Lévy Processes

Author : Ole E Barndorff-Nielsen
Publisher : Springer Science & Business Media
ISBN 13 : 1461201977
Total Pages : 418 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Lévy Processes by : Ole E Barndorff-Nielsen

Download or read book Lévy Processes written by Ole E Barndorff-Nielsen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov processes, and diffusions are extensions and generalizations of these processes. In the past, representatives of the Lévy class were considered most useful for applications to either Brownian motion or the Poisson process. Nowadays the need for modeling jumps, bursts, extremes and other irregular behavior of phenomena in nature and society has led to a renaissance of the theory of general Lévy processes. Researchers and practitioners in fields as diverse as physics, meteorology, statistics, insurance, and finance have rediscovered the simplicity of Lévy processes and their enormous flexibility in modeling tails, dependence and path behavior. This volume, with an excellent introductory preface, describes the state-of-the-art of this rapidly evolving subject with special emphasis on the non-Brownian world. Leading experts present surveys of recent developments, or focus on some most promising applications. Despite its special character, every topic is aimed at the non- specialist, keen on learning about the new exciting face of a rather aged class of processes. An extensive bibliography at the end of each article makes this an invaluable comprehensive reference text. For the researcher and graduate student, every article contains open problems and points out directions for futurearch. The accessible nature of the work makes this an ideal introductory text for graduate seminars in applied probability, stochastic processes, physics, finance, and telecommunications, and a unique guide to the world of Lévy processes.

Gray Matter

Author : David Levy
Publisher : Tyndale House Publishers, Inc.
ISBN 13 : 1414351704
Total Pages : 320 pages
Book Rating : 4.4/5 (143 download)

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Book Synopsis Gray Matter by : David Levy

Download or read book Gray Matter written by David Levy and published by Tyndale House Publishers, Inc.. This book was released on 2011-02-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A perfect blend of medical drama and spiritual insight, Gray Matter is a fascinating account of Dr. David Levy’s decision to begin asking his patients if he could pray for them before surgery. Some are thrilled. Some are skeptical. Some are hostile, and some are quite literally transformed by the request. Each chapter focuses on a specific case, opening with a detailed description of the patient’s diagnosis and the procedure that will need to be performed, followed by the prayer “request.” From there, readers get to look over Dr. Levy’s shoulder as he performs the operation, and then we wait—right alongside Dr. Levy, the patients, and their families—to see the final results. Dr. Levy’s musings on what successful and unsuccessful surgical results imply about God, faith, and the power of prayer are honest and insightful. As we watch him come to his ultimate conclusion that no matter what the results of the procedure are, “God is good,” we cannot help but be truly moved and inspired.

Lévy Matters II

Author : Serge Cohen
Publisher : Springer
ISBN 13 : 9783642314070
Total Pages : 186 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Lévy Matters II by : Serge Cohen

Things I Don't Want to Know

Author : Deborah Levy
Publisher : Bloomsbury Publishing USA
ISBN 13 : 1620405679
Total Pages : 138 pages
Book Rating : 4.6/5 (24 download)

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Book Synopsis Things I Don't Want to Know by : Deborah Levy

Download or read book Things I Don't Want to Know written by Deborah Levy and published by Bloomsbury Publishing USA. This book was released on 2014-06-10 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: A shimmering jewel of a book about writing from two-time Booker Prize finalist Deborah Levy, to publish alongside her new work of nonfiction, The Cost of Living. Blending personal history, gender politics, philosophy, and literary theory into a luminescent treatise on writing, love, and loss, Things I Don't Want to Know is Deborah Levy's witty response to George Orwell's influential essay "Why I Write." Orwell identified four reasons he was driven to hammer at his typewriter--political purpose, historical impulse, sheer egoism, and aesthetic enthusiasm--and Levy's newest work riffs on these same commitments from a female writer's perspective. As she struggles to balance womanhood, motherhood, and her writing career, Levy identifies some of the real-life experiences that have shaped her novels, including her family's emigration from South Africa in the era of apartheid; her teenage years in the UK where she played at being a writer in the company of builders and bus drivers in cheap diners; and her theater-writing days touring Poland in the midst of Eastern Europe's economic crisis, where she observed how a soldier tenderly kissed the women in his life goodbye. Spanning continents (Africa and Europe) and decades (we meet the writer at seven, fifteen, and fifty), Things I Don't Want to Know brings the reader into a writer's heart.

Accidental Genius

Author : Mark Levy
Publisher : Berrett-Koehler Publishers
ISBN 13 : 1605096512
Total Pages : 208 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis Accidental Genius by : Mark Levy

Download or read book Accidental Genius written by Mark Levy and published by Berrett-Koehler Publishers. This book was released on 2010-08-09 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new and thoroughly revised edition of marketing and positioning genius Mark Levy, which helps readers unleash their inner creativity, problem solving skills, while also generating content. This is The Artist's Way for business people and social media people. Accidental Genius uses a similar methodology of freewriting to create business plan, find solutions, and generate new content. Over 10,000 of the original edition sold.

Things I Don't Want to Know

Author : Deborah Levy
Publisher : Hamish Hamilton
ISBN 13 : 9780241146569
Total Pages : 107 pages
Book Rating : 4.1/5 (465 download)

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Book Synopsis Things I Don't Want to Know by : Deborah Levy

Download or read book Things I Don't Want to Know written by Deborah Levy and published by Hamish Hamilton. This book was released on 2014 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: Things I Don't Want to Know is a unique response to George Orwell from one of our most vital contemporary writers. Taking Orwell's famous list of motives for writing as the jumping-off point for a sequence of thrilling reflections on the writing life, this is a perfect companion not just to Orwell's essay, but also to Levy's own, essential oeuvre. 'A powerful feminist response to Orwell's 'Why I Write'.' New Statesman 'Inspired by Orwell, another unique writer tells her tale. Marvellously right.' Independent 'Superb sharpness and originality of imagination. It is feminist and political while being an inspiring work of writing.' Marina Warner 'Original, unmissable. like chancing upon an oasis. The writing is of such quality that you want to drink it slowly.' Kate Kellaway, Guardian 'In her powerful rejoinder to Orwell, Deborah Levy responds to his proposed motives for writing -- 'sheer egoism', 'aesthetic enthusiasm', 'historical impulse' and 'political purpose' -- with illuminating moments of autobiography. A vivid, striking account of a writer's life, which feminises and personalises Orwell's blunt assertions.' Spectator 'It will be quoted for many years to come.' Irish Examiner

From Lévy-Type Processes to Parabolic SPDEs

Author : Davar Khoshnevisan
Publisher : Birkhäuser
ISBN 13 : 3319341200
Total Pages : 220 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis From Lévy-Type Processes to Parabolic SPDEs by : Davar Khoshnevisan

Download or read book From Lévy-Type Processes to Parabolic SPDEs written by Davar Khoshnevisan and published by Birkhäuser. This book was released on 2016-12-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the lecture notes from two courses given by Davar Khoshnevisan and René Schilling, respectively, at the second Barcelona Summer School on Stochastic Analysis. René Schilling’s notes are an expanded version of his course on Lévy and Lévy-type processes, the purpose of which is two-fold: on the one hand, the course presents in detail selected properties of the Lévy processes, mainly as Markov processes, and their different constructions, eventually leading to the celebrated Lévy-Itô decomposition. On the other, it identifies the infinitesimal generator of the Lévy process as a pseudo-differential operator whose symbol is the characteristic exponent of the process, making it possible to study the properties of Feller processes as space inhomogeneous processes that locally behave like Lévy processes. The presentation is self-contained, and includes dedicated chapters that review Markov processes, operator semigroups, random measures, etc. In turn, Davar Khoshnevisan’s course investigates selected problems in the field of stochastic partial differential equations of parabolic type. More precisely, the main objective is to establish an Invariance Principle for those equations in a rather general setting, and to deduce, as an application, comparison-type results. The framework in which these problems are addressed goes beyond the classical setting, in the sense that the driving noise is assumed to be a multiplicative space-time white noise on a group, and the underlying elliptic operator corresponds to a generator of a Lévy process on that group. This implies that stochastic integration with respect to the above noise, as well as the existence and uniqueness of a solution for the corresponding equation, become relevant in their own right. These aspects are also developed and supplemented by a wealth of illustrative examples.

Levy Processes in Finance

Author : Wim Schoutens
Publisher : Wiley
ISBN 13 : 9780470851562
Total Pages : 200 pages
Book Rating : 4.8/5 (515 download)

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Book Synopsis Levy Processes in Finance by : Wim Schoutens

Download or read book Levy Processes in Finance written by Wim Schoutens and published by Wiley. This book was released on 2003-05-07 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial mathematics has recently enjoyed considerable interest on account of its impact on the finance industry. In parallel, the theory of L?vy processes has also seen many exciting developments. These powerful modelling tools allow the user to model more complex phenomena, and are commonly applied to problems in finance. L?vy Processes in Finance: Pricing Financial Derivatives takes a practical approach to describing the theory of L?vy-based models, and features many examples of how they may be used to solve problems in finance. * Provides an introduction to the use of L?vy processes in finance. * Features many examples using real market data, with emphasis on the pricing of financial derivatives. * Covers a number of key topics, including option pricing, Monte Carlo simulations, stochastic volatility, exotic options and interest rate modelling. * Includes many figures to illustrate the theory and examples discussed. * Avoids unnecessary mathematical formalities. The book is primarily aimed at researchers and postgraduate students of mathematical finance, economics and finance. The range of examples ensures the book will make a valuable reference source for practitioners from the finance industry including risk managers and financial product developers.

The Rules Do Not Apply

Author : Ariel Levy
Publisher :
ISBN 13 : 0812996933
Total Pages : 225 pages
Book Rating : 4.8/5 (129 download)

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Book Synopsis The Rules Do Not Apply by : Ariel Levy

Download or read book The Rules Do Not Apply written by Ariel Levy and published by . This book was released on 2017 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: When Ariel Levy left for a reporting trip to Mongolia in 2012, she was pregnant, married, financially secure, and successful on her own terms. A month later, none of that was true.