03858 am 2200769 n 450 9910571797303321202107082-7351-2570-X10.4000/books.editionsmsh.34095(CKB)5700000000086917(FrMaCLE)OB-editionsmsh-34095(oapen)https://directory.doabooks.org/handle/20.500.12854/91818(PPN)263270181(EXLCZ)99570000000008691720220530j|||||||| ||| 0freuu||||||m||||txtrdacontentcrdamediacrrdacarrierCastellu (Haute-Corse) Un établissement rural de l’Antiquité tardive : fouilles récentes (1981-1985) /Philippe Pergola, Cinzia VismaraParis Éditions de la Maison des sciences de l’homme20211 online resource (192 p.) Documents d’archéologie française2-7351-0293-9 La publication collective des touilles de Castellu renouvelle totalement l’image de la Corse de l’Antiquité tardive et du Haut Moyen Age. L’étude du matériel exhumé, en majorité du VIe s., et celle de la faune, qui se distingue nettement par les races de la faune de l’âge du Fer et témoigne de pratiques alimentaires différentes, mettent en évidence l’importance et le caractère durable de la romanisation dans la Corse de l’intérieur et la persistance des échanges avec le reste du bas­sin méditerranéen en dépit de l’invasion vandale. Cet ouvrage est donc un premier et remarquable pas vers une approche nouvelle de cette période de l’histoire corse. The publication of excavations at Castellu throws an entirely new light upon late-Roman and early-medieval Corsica. The study includes an examination of the finds, most of which are of 6th century date, and an analysis of the faunal remains. The latter shows not only that domesticated species differed from those of the Iron-Age but also that eating habits had changed. The resulting picture is one of significant and long-lasting Romanisation of innerCorsica, and of ongoing trade relations with the rest of the Mediterranean region, even after the Van­dal invasion. The publication marks a major step towards a new understanding of this period of Corsican history.Castellu Excavations (Archaeology)FranceCorte RegionRomansFranceCorte RegionCastellu Site (France)Corte Region (France)Antiquities, RomanmonnaiecéramiqueAntiquitémétalmobilierrestaurationconservationargileCastelluTavignanoHaute-CorseExcavations (Archaeology)RomansAntomarchi Catherine1283025Brenot Claude734355Carignani Andrea474941Cocchini Fabrizia1283026Février Paul‑Albert1283027Levy J778949Maria Loreti Ersilia1283028Marlnval‑Vigne Marie‑Christine1283029Martorelli Rosana1283030Martorelli Rossana776748Pacetti F1283031Pentiricci M1283032Pergola Philippe170760Ruas Marie‑Pierre1283033Vigne Jean‑Denis1283034Vismara Cinzia168277Pergola Philippe170760Vismara Cinzia168277FR-FrMaCLEBOOK9910571797303321Castellu (Haute-Corse)3018912UNINA05723nam 2200805 a 450 991081735510332120240401164208.0978111861793911186179329781118618059111861805X9781118629857111862985X(CKB)2550000001111833(EBL)1368912(SSID)ssj0001034045(PQKBManifestationID)11625333(PQKBTitleCode)TC0001034045(PQKBWorkID)11007550(PQKB)11192892(DLC) 2013017918(Au-PeEL)EBL1368912(CaPaEBR)ebr10748669(CaONFJC)MIL511725(PPN)179863703(FR-PaCSA)88819096(MiAaPQ)EBC1368912(OCoLC)842307629(FRCYB88819096)88819096(Perlego)1001723(EXLCZ)99255000000111183320130430d2013 uy 0engur|n|---|||||txtccrElements of random walk and diffusion processes /Oliver C. Ibe1st ed.Hoboken, N.J. John Wiley & Sons, Inc.20131 online resource (278 p.)Wiley series in operations research and management scienceDescription based upon print version of record.9781118618097 1118618092 9781299804746 1299804748 Includes bibliographical references and index.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-Transform1.3.6 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 Introduction2.2 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 States2.10.6 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 Stay3.9 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 Graph3.15.4 Random Walk on a Weighted Graph"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"--Provided by publisher.Wiley Series in Operations Research and Management ScienceRandom walks (Mathematics)Diffusion processesRandom walks (Mathematics)Diffusion processes.519.2/82MAT003000bisacshIbe Oliver C(Oliver Chukwudi),1947-522175MiAaPQMiAaPQMiAaPQBOOK9910817355103321Elements of random walk and diffusion processes4034004UNINA