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Record Nr. |
UNINA9910817355103321 |
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Autore |
Ibe Oliver C (Oliver Chukwudi), <1947-> |
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Titolo |
Elements of random walk and diffusion processes / / Oliver C. Ibe |
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Pubbl/distr/stampa |
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Hoboken, N.J., : John Wiley & Sons, Inc., 2013 |
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ISBN |
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9781118617939 |
1118617932 |
9781118618059 |
111861805X |
9781118629857 |
111862985X |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (278 p.) |
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Collana |
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Wiley series in operations research and management science |
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Classificazione |
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Disciplina |
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Soggetti |
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Random walks (Mathematics) |
Diffusion processes |
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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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Elements of Random Walk and Diffusion Processes; Copyright; Contents; Preface; Acknowledgments; 1 Review of Probability Theory; 1.1 Introduction; 1.2 Random Variables; 1.2.1 Distribution Functions; 1.2.2 Discrete Random Variables; 1.2.3 Continuous Random Variables; 1.2.4 Expectations; 1.2.5 Moments of Random Variables and the Variance; 1.3 Transform Methods; 1.3.1 The Characteristic Function; 1.3.2 Moment-Generating Property of the Characteristic Function; 1.3.3 The s-Transform; 1.3.4 Moment-Generating Property of the s-Transform; 1.3.5 The z-Transform |
1.3.6 Moment-Generating Property of the z-Transform1.4 Covariance and Correlation Coefficient; 1.5 Sums of Independent Random Variables; 1.6 Some Probability Distributions; 1.6.1 The Bernoulli Distribution; 1.6.2 The Binomial Distribution; 1.6.3 The Geometric Distribution; 1.6.4 The Poisson Distribution; 1.6.5 The Exponential Distribution; 1.6.6 Normal Distribution; 1.7 Limit Theorems; 1.7.1 Markov Inequality; 1.7.2 Chebyshev Inequality; 1.7.3 Laws of Large Numbers; 1.7.4 The Central Limit Theorem; Problems; 2 Overview of Stochastic Processes; 2.1 Introduction |
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2.2 Classification of Stochastic Processes2.3 Mean and Autocorrelation Function; 2.4 Stationary Processes; 2.4.1 Strict-Sense Stationary Processes; 2.4.2 Wide-Sense Stationary Processes; 2.5 Power Spectral Density; 2.6 Counting Processes; 2.7 Independent Increment Processes; 2.8 Stationary Increment Process; 2.9 Poisson Processes; 2.9.1 Compound Poisson Process; 2.10 Markov Processes; 2.10.1 Discrete-Time Markov Chains; 2.10.2 State Transition Probability Matrix; 2.10.3 The k-Step State Transition Probability; 2.10.4 State Transition Diagrams; 2.10.5 Classification of States |
2.10.6 Limiting-State Probabilities2.10.7 Doubly Stochastic Matrix; 2.10.8 Continuous-Time Markov Chains; 2.10.9 Birth and Death Processes; 2.11 Gaussian Processes; 2.12 Martingales; 2.12.1 Stopping Times; Problems; 3 One-Dimensional Random Walk; 3.1 Introduction; 3.2 Occupancy Probability; 3.3 Random Walk as a Markov Chain; 3.4 Symmetric Random Walk as a Martingale; 3.5 Random Walk with Barriers; 3.6 Mean-Square Displacement; 3.7 Gambler's Ruin; 3.7.1 Ruin Probability; 3.7.2 Alternative Derivation of Ruin Probability; 3.7.3 Duration of a Game; 3.8 Random Walk with Stay |
3.9 First Return to the Origin3.10 First Passage Times for Symmetric Random Walk; 3.10.1 First Passage Time via the Generating Function; 3.10.2 First Passage Time via the Reflection Principle; 3.10.3 Hitting Time and the Reflection Principle; 3.11 The Ballot Problem and the Reflection Principle; 3.11.1 The Conditional Probability Method; 3.12 Returns to the Origin and the Arc-Sine Law; 3.13 Maximum of a Random Walk; 3.14 Two Symmetric Random Walkers; 3.15 Random Walk on a Graph; 3.15.1 Proximity Measures; 3.15.2 Directed Graphs; 3.15.3 Random Walk on an Undirected Graph |
3.15.4 Random Walk on a Weighted Graph |
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Sommario/riassunto |
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"Featuring an introduction to stochastic calculus, this book uniquely blends diffusion equations and random walk theory and provides an interdisciplinary approach by including numerous practical examples and exercises with real-world applications in operations research, economics, engineering, and physics. It covers standard methods and applications of Brownian motion and discusses Levy motion; addresses fractional calculus; introduces percolation theory and its relationship to diffusion processes; and more"-- |
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2. |
Record Nr. |
UNINA9910512197403321 |
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Autore |
Backhaus Maria |
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Titolo |
Mord(s)bilder - Aufzählungen von Gewalt bei Seneca und Lucan / / Maria Backhaus |
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Pubbl/distr/stampa |
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Berlin/Boston, : De Gruyter, 2019 |
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Berlin ; ; Boston : , : De Gruyter, , [2019] |
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©2019 |
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ISBN |
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3-11-063955-6 |
3-11-063639-5 |
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Descrizione fisica |
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1 online resource (340 pages) |
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Collana |
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Millennium-Studien / Millennium Studies ; ; 76 |
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Classificazione |
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Disciplina |
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Soggetti |
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Anschaulichkeit |
Aufzählung |
Gewalt |
Tod |
Visualizability |
death |
enumeration |
violence |
LITERARY CRITICISM / Ancient & Classical |
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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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Title from eBook information screen.. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Frontmatter -- Vorwort -- Inhalt -- 1. Einführung und Überblick -- 2. Aufzählung und Anschaulichkeit bei Quintilian -- 3. Schaulust und Staunen: Antike Autoren über die Rezeption von inszenierter Gewalt -- 4. Aufzählung und Reduktion von exempla -- 5. Anschauliche Aufzählungen und exempla-Reihen tödlicher Gewalt in Senecas De ira -- 6. Aufzählende Beschreibungen tödlicher Gewalt in Lucans Bellum Civile 2.98-233 -- 7. Fazit: Anschauliche Aufzählungen tödlicher Gewalt bei Seneca und Lucan -- Literatur -- Register |
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Sommario/riassunto |
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Die Schilderung physischer Gewalttaten wie Folter, Mord und Hinrichtung gilt als charakteristisch für die Literatur der 2. Hälfte des 1. Jhs. n. Chr., wurde aber bislang kaum befriedigend analysiert. |
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Insbesondere aufzählende Abschnitte aus Senecas De ira und Lucans De bello civili sorgen für Irritation. Darum sucht dieses Buch die Annäherung an antike Rezeptionshaltungen.Die systematische Auseinandersetzung mit der Rhetoriklehre zeigt, dass Aufzählungen die visuelle Imagination unterstützen und zur Affekterregung beitragen. Lust und Staunen sind ein ambivalent bewertetes Begriffspaar, mit dem die antike Rezeptionsästhetik die Inszenierung und Betrachtung von Gewalt charakterisiert. Wertevorstellungen wiederum werden in verkürzten Aufzählungen von exempla veranschaulicht. Unter diesen Voraussetzungen erweist ein close reading Senecas und Lucans, dass die Anschaulichkeit ihrer Texte auf der Reduktion auf konkrete Details beruht, die aber gerade durch die Häufung in Aufzählungen ihre affektive Wirkung entfalten. Der Rezipient erhält so ein vielfältiges Assoziationsangebot und kann sich aktiv an der Erschaffung einer caedis imago beteiligen. |
Often noticed, frequently criticized, the descriptions of physical violence in Seneca's philosophical work De ira and Lucan's civil war epic De bello civili irritate until today. Only looking at the theory of rhetoric, the use of exempla and the staging of violence allows an approach to ancient reception attitudes and reveals the connections between enumeration and visualizability, violence and the the arousal of the emotions. |
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