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1. |
Record Nr. |
UNINA9910465550403321 |
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Autore |
Meerschaert Mark M. <1955-> |
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Titolo |
Stochastic models for fractional calculus [[electronic resource] /] / Mark M. Meerschaert, Alla Sikorskii |
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Pubbl/distr/stampa |
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Berlin ; ; Boston, : De Gruyter, c2012 |
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ISBN |
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Descrizione fisica |
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1 online resource (304 p.) |
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Collana |
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De Gruyter studies in mathematics, , 0179-0986 ; ; 43 |
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Classificazione |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Fractional calculus |
Diffusion processes |
Stochastic analysis |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Frontmatter -- Preface / Meerschaert, Mark M. / Sikorskii, Alla -- Acknowledgments -- Contents -- Chapter 1. Introduction -- Chapter 2. Fractional Derivatives -- Chapter 3. Stable Limit Distributions -- Chapter 4. Continuous Time Random Walks -- Chapter 5. Computations in R -- Chapter 6. Vector Fractional Diffusion -- Chapter 7. Applications and Extensions -- Bibliography -- Index |
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Sommario/riassunto |
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Fractional calculus is a rapidly growing field of research, at the interface between probability, differential equations, and mathematical physics. It is used to model anomalous diffusion, in which a cloud of particles spreads in a different manner than traditional diffusion. This monograph develops the basic theory of fractional calculus and anomalous diffusion, from the point of view of probability. In this book, we will see how fractional calculus and anomalous diffusion can be understood at a deep and intuitive level, using ideas from probability. It covers basic limit theorems for random variables and random vectors with heavy tails. This includes regular variation, triangular arrays, infinitely divisible laws, random walks, and stochastic process convergence in the Skorokhod topology. The basic ideas of fractional calculus and anomalous diffusion are closely connected with heavy tail limit theorems. Heavy tails are applied in finance, insurance, physics, |
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geophysics, cell biology, ecology, medicine, and computer engineering. The goal of this book is to prepare graduate students in probability for research in the area of fractional calculus, anomalous diffusion, and heavy tails. Many interesting problems in this area remain open. This book will guide the motivated reader to understand the essential background needed to read and unerstand current research papers, and to gain the insights and techniques needed to begin making their own contributions to this rapidly growing field. |
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2. |
Record Nr. |
UNINA9910792708303321 |
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Autore |
Letzler David |
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Titolo |
The cruft of fiction : mega-novels and the science of paying attention / / David Letzler |
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Pubbl/distr/stampa |
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Lincoln, [Nebraska] ; ; London, [England] : , : University of Nebraska Press, , 2017 |
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©2017 |
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ISBN |
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1-4962-0164-7 |
1-4962-0166-3 |
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Descrizione fisica |
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1 online resource (vii, 303 pages) |
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Collana |
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Disciplina |
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Soggetti |
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Fiction - Psychological aspects |
Reading, Psychology of |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Based on the author's dissertation (doctoral)--City University of New York, 2014. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction : information and attention in the mega-novel -- The dictionary -- The encyclopedia -- Life-writing -- The Menippean satire -- Episodic narrative -- The epic and the allegory -- Conclusion : the fate of the mega-novel. |
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Sommario/riassunto |
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What is the strange appeal of big books? The mega-novel, a genre of erudite tomes with encyclopedic scope, has attracted wildly varied responses, from fanatical devotion to trenchant criticism. Looking at intimidating mega-novel masterpieces from The Making of Americans to 2666, David Letzler explores reader responses to all the seemingly |
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random, irrelevant, pointless, and derailing elements that comprise these mega-novels, elements that he labels "cruft" after the computer science term for junk code. Letzler suggests that these books are useful tools to help us understand the relationship between reading and attention. While mega-novel text is often intricately meaningful or experimental, sometimes it is just excessive and pointless. On the other hand, mega-novels also contain text that, though appearing to be cruft, turns out to be quite important. Letzler posits that this cruft requires readers to develop a sophisticated method of attentional modulation, allowing one to subtly distinguish between text requiring focused attention and text that must be skimmed or even skipped to avoid processing failures. "The Cruft of Fiction" shows how the attentional maturation prompted by reading mega-novels can help manage the information overload that increasingly characterizes contemporary life. |
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