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Mathematical potential theory --- Potential theory (Mathematics) --- 51 --- Mathematics --- 51 Mathematics --- Potential theory (Mathematics) - Congresses
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Mathematical potential theory --- Potential theory (Mathematics) --- Congresses. --- Theorie du potentiel
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Harmonic spaces --- Markov processes --- Potential theory (Mathematics) --- Resolvents (Mathematics)
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Dirichlet principle --- 517.1 --- Potential theory (Mathematics) --- History
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Dirichlet problem --- Distribution (Probability theory) --- Potential theory (Mathematics) --- Random fields
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Energy distance is a statistical distance between the distributions of random vectors, which characterizes equality of distributions. The name energy derives from Newton's gravitational potential energy, and there is an elegant relation to the notion of potential energy between statistical observations. Energy statistics are functions of distances between statistical observations in metric spaces. The authors hope this book will spark the interest of most statisticians who so far have not explored E-statistics and would like to apply these new methods using R. The Energy of Data and Distance Correlation is intended for teachers and students looking for dedicated material on energy statistics, but can serve as a supplement to a wide range of courses and areas, such as Monte Carlo methods, U-statistics or V-statistics, measures of multivariate dependence, goodness-of-fit tests, nonparametric methods and distance based methods.
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Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces. These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.
Integrals, Generalized. --- Measure theory. --- Potential theory (Mathematics) --- Convex sets.
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Mathematical analysis --- 51 --- Mathematics --- Functions of real variables. --- Potential theory (Mathematics) --- Topology. --- Potential theory (Mathematics). --- 51 Mathematics
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Mathematical potential theory --- 51 --- Mathematics --- 51 Mathematics --- Potential theory (Mathematics) --- Brelot, Marcel, --- Potential theory (Mathematics) - Congresses --- Brelot, Marcel, - 1903-1987
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The 12 invited lectures and 26 contributed papers cover a wide range of potential theory, from classical to nonlinear. Among the topics are the Dirichlet and Neumann problems, Martin compactification, Choquet theory, and the applications to probability theory and other branches of mathematics. No index. Annotation copyright Book News, Inc. Portland, Or.