Selected Papers II
Springer International Publishing (Verlag)
978-3-319-34812-4 (ISBN)
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William Feller was one of the leading mathematicians in the development of probability theory in the 20th cent
ury. His work continues to be highly influential, in particular in the theory of stochastic processes, limit theorems and applications of mathematics to biology. These volumes will be of value to all those interested in probability theory, analysis, mathematical biology and the history of mathematics.
William Feller (1906 - 1970) was one of the most distinguished figures in probability theory of the 20th century. His work contains seminal contributions to the areas of Stochastic Processes (in particular: “Feller” processes, boundary theory, analytic treatment of stochastic processes), Limit theorems for random variables (Central Limit Theorem, Fluctuation Theory) and Applications of Stochastic Processes to Mathematical Biology. Feller was a prolific writer and even his “minor” contributions are still quoted nowadays, e.g. Contributions to measure theory (differentiation of measures), Contributions to geometry (Feller-Alexandrov-Busemann curvature). Among his almost twenty doctoral students one finds some of the most distinguished mathematicians, including Patrick Billingsley, Henry McKean, Hale Trotter, Frank Knight, David Freedman, Martin Silverstein, Lawrence Shepp.
Preface. - Curriculum Vitae: William Feller 1906-1970.- Bibliography of William Feller. - PhD Students of William Feller. - R. L. Schilling and W. A. Woyczy nski: William Feller. A Biography. - E. Baake and A. Wakolbinger: Feller's Contributions to Mathematical Biology.- N. Jacob: Feller on Differential Operators and Semi-groups. - M. Fukushima: Feller's Contributions to the One-Dimensional Diffusion Theory and Beyond.- G. Peskir: On Boundary Behaviour of One-Dimensional Diffusions: From Brown to Feller and Beyond. - R. Maller: Feller's Work in Renewal Theory, the Law of the Iterated Logarithm and Karamata Theory. - Selected Papers of William Feller.
"Selected Papers II includes papers published from 1951 to 1970 on the semigroup treatment of Markov processes, regular variation, further work on limit and renewal theory, and other topics ... . There is a great deal on offer in these two excellent volumes, and they deserve a place in any library collection devoted to probability!" (Anthony G. Pakes, Mathematical Reviews, February, 2017)
| Erscheinungsdatum | 18.09.2017 |
|---|---|
| Zusatzinfo | XXXVI, 785 p. 11 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik |
| Schlagworte | 01A75, 60G05, 60F05, 60E07, 60J35, 60K05, 47D07 • birth-and-death process • Boundary Theory • central limit theorem • Differential and Riemannian geometry • Differential Geometry • diffusions in genetics • Feller-Busemann curvature • Functional analysis and transforms • History of mathematical sciences • History of Mathematics • infinitesimal generator • jump process • law of large numbers • law of the iterated logarithm • Markov process • Mathematical Biology • Mathematics • mathematics and statistics • operator semigroup • operator theory • probability and statistics • Probability theory and stochastic processes • regular variation • scale function • speed measure • Statistics, general • stochastics • transition semigroup |
| ISBN-10 | 3-319-34812-4 / 3319348124 |
| ISBN-13 | 978-3-319-34812-4 / 9783319348124 |
| Zustand | Neuware |
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