Titlebook: Many-body Approaches at Different Scales; A Tribute to Norman G.G.N Angilella,C. Amovilli Book 2018 Springer International Publishing AG,

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tionof illuminating exercises of varying difficulty. Some basic facts from functional analysis, in particular on Hilbert and Banach spaces, are included in the appendix.. .Measure Theory, Probability, and Stoch978-3-031-14207-9978-3-031-14205-5Series ISSN 0072-5285 Series E-ISSN 2197-5612

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robability and other areas of mathematics such as complex va.This textbook introduces readers to the fundamental notions of modern probability theory. The only prerequisite is a working knowledge in real analysis. Highlighting the connections between martingales and Markov chains on one hand, and Br

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is. Highlighting the connections between martingales and Markov chains on one hand, and Brownian motion and harmonic functions on the other, this book provides an introduction to the rich interplay between probability and other areas of analysis..Arranged into three parts, the book begins with a rig

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G. G. N. Angilella,R. Pucciis. Highlighting the connections between martingales and Markov chains on one hand, and Brownian motion and harmonic functions on the other, this book provides an introduction to the rich interplay between probability and other areas of analysis..Arranged into three parts, the book begins with a rig

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F. M. D. Pellegrino,I. Torre,M. Polini The category method is illustrated by a variety of typical applications, and the analogy between measure and category is explored in all of its ramifications. To this end, the elements of metric topology are reviewed and the principal properties of Lebesgue measure are derived. It turns out that Le

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Lydia Alonso,Julio A. Alonso,María J. Lópezion to subsequent developments, others add further explanation or additional remarks. Most of the remarks are accompanied by a briefly indicated proof, which is sometimes different from the one given in the reference cited. The list of references has been expanded to include many recent contribution